Civilengineering-Ideas: Civil Engg

Showing posts with label Civil Engg. Show all posts

Types of fluid flows

<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhn0Z7pF72L-0fWWLi5rd_8zDAe0LkiA9qA6HSdyG-9OVb4lpFEMwgZYnhATavJrEkprfIAoyqPYK_3iWYS-NRwtzF1z84NaYAsq4rET5j2jI1VMWQkp9FGBBf_rq_FzT6DxZy2X05vW0w/s1600/Title+flows.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="99" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhn0Z7pF72L-0fWWLi5rd_8zDAe0LkiA9qA6HSdyG-9OVb4lpFEMwgZYnhATavJrEkprfIAoyqPYK_3iWYS-NRwtzF1z84NaYAsq4rET5j2jI1VMWQkp9FGBBf_rq_FzT6DxZy2X05vW0w/s200/Title+flows.png" width="200" /></a></div>
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0E8H_2UucJAdqJSoXF6dqkLOf1fQQjHxNR2Z48ZzDGYMghMO-WvAPYcLs_n4KCVInrJsjDuQUDkzzb-cAVEjd56dVeHw7JIszIvOWnlIyxyH5IMPAJBjuejJpLJgZs-fqhaFFM0ycHIU/s1600/Flow.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0E8H_2UucJAdqJSoXF6dqkLOf1fQQjHxNR2Z48ZzDGYMghMO-WvAPYcLs_n4KCVInrJsjDuQUDkzzb-cAVEjd56dVeHw7JIszIvOWnlIyxyH5IMPAJBjuejJpLJgZs-fqhaFFM0ycHIU/s1600/Flow.png" /></a><br />
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%;">
<span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">Let
us discuss them one by one.<br />
<br />
Flows are broadly classified into the following three categories.<br />
<b><br />-  
   Laminar Flow<br /><br />-      Turbulent
Flow<br /><br />-      Transient Flow<br />
</b></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnnN8NoIEiazj_mQE6LA86v8-aQ7Mek-vpwucr1cMoU7dOfzg-gj4TIPk99WiNgvH9VMAMVXmGFfPKtFF-H1mqK9abEodt9Gd8Ai9LD97xfYfjn-DQaapnbRgKxRWiXK2hXTia1XU_u6k/s1600/Flow.png" imageanchor="1" style="line-height: normal; margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnnN8NoIEiazj_mQE6LA86v8-aQ7Mek-vpwucr1cMoU7dOfzg-gj4TIPk99WiNgvH9VMAMVXmGFfPKtFF-H1mqK9abEodt9Gd8Ai9LD97xfYfjn-DQaapnbRgKxRWiXK2hXTia1XU_u6k/s1600/Flow.png" /></a><br />
<br />
<span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">                 <b>In case of pipes.</b><br />           If Reynold’s No.  ≤ 2000.    The flow will be laminar.<br /><br />           If Reynold’s No.  > 2000.    The flow will be Turbulent.<br />
<br />               <b>In case of channels</b>.<br /><br /> If Reynold’s No.  ≤ 500       The flow will be laminar.<br /><br /> If Reynold’s No.  > 500.      The flow will be Turbulent.</span><br />
<br />
<b><span style="font-family: "gadugi" , sans-serif; font-size: 18.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">TYPES OF FLOW W.R.T
DISTANCE</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">
(between two sections):</span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijw3CazLIwnGpEEWW_hi109a43MOpOZkjbOPHRk24Le-6dD12Zd4HvbNexkmHgvXrJOLBPAbh_wjtWJGEMVpVVXeT_ZMZgINIPC8Ky0IbYRp0QtFBBCE8IClmNBOJaA5FDViMH8GQyEpE/s1600/uni+non-uniform+flow.png" imageanchor="1" style="line-height: normal; margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijw3CazLIwnGpEEWW_hi109a43MOpOZkjbOPHRk24Le-6dD12Zd4HvbNexkmHgvXrJOLBPAbh_wjtWJGEMVpVVXeT_ZMZgINIPC8Ky0IbYRp0QtFBBCE8IClmNBOJaA5FDViMH8GQyEpE/s1600/uni+non-uniform+flow.png" /></a><br />
<span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br /></span><b><span style="font-family: "gadugi" , sans-serif; font-size: 18.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br />TYPES OF FLOW W.R.T TO
TIME:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br /></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyF28fLl62jQQ-lBurKfvKZYce8SJpwZB_rFWZsch3mo43LrN3Pvq1QfQXEY9goJiHUj2uwJwJXmSyFN_olT_FXMH18jEB8fAcTfjRPx-0WA9TmWj0mKDxpbxzW9HP1wwE5Z7xar-4JLc/s1600/stesdy+unsteady+flow.png" imageanchor="1" style="line-height: normal; margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyF28fLl62jQQ-lBurKfvKZYce8SJpwZB_rFWZsch3mo43LrN3Pvq1QfQXEY9goJiHUj2uwJwJXmSyFN_olT_FXMH18jEB8fAcTfjRPx-0WA9TmWj0mKDxpbxzW9HP1wwE5Z7xar-4JLc/s1600/stesdy+unsteady+flow.png" /></a><br />
<span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br /></span><b><span style="font-family: "gadugi" , sans-serif; font-size: 18.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br />TYPES OF FLOW W.R.T TO
DENSITY:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br /></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJdQzFq2CR0Mhy7FvsTHUS1M6K0WqLOhsjIIHkTfJtKBf2uiI0gzyVwj14WS5tupaHKUI2eSimcOT8MmuIOjAXQLCcyI1hR3OL29RaPT5XPcIV0-hSROM2NEXMqgD-uj4N2v5TBFyuCCI/s1600/Com+INcom+Flow.png" imageanchor="1" style="line-height: normal; margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJdQzFq2CR0Mhy7FvsTHUS1M6K0WqLOhsjIIHkTfJtKBf2uiI0gzyVwj14WS5tupaHKUI2eSimcOT8MmuIOjAXQLCcyI1hR3OL29RaPT5XPcIV0-hSROM2NEXMqgD-uj4N2v5TBFyuCCI/s1600/Com+INcom+Flow.png" /></a><br />
<span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br /></span><b><span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br />           </span></b><b><span style="font-family: "gadugi" , sans-serif; font-size: 18pt; line-height: 25.68px;">DIFFERENCE</span></b><b><span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br />
<br />                Difference between uniform and
steady flow is that uniform flow is between two sections<br /><br />                 while steady flow is
at a particular section.<br />
<br />
</span><span style="font-family: "gadugi" , sans-serif; font-size: 11.0pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br /></span><span style="font-family: "gadugi" , sans-serif;">
<o:p></o:p></span></div>
</div>

Types of fluid flows

Let us discuss them one by one. Flows are broadly classified into the following three categories. - Laminar Flow - T...

+ Read more »

How to determine Manning's and Chezy's Coefficients for Laboratory Flume.

<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="MsoTitle">
<h2 style="text-align: left;">
<span style="font-family: "trebuchet ms" , sans-serif; font-weight: normal;"><w:sdt contentlocked="t" id="89512093" sdtgroup="t"><span style="font-family: "calibri" , sans-serif; font-size: 1.0pt; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><w:sdtpr></w:sdtpr><w:sdt docpart="2F182836FC234D059C1892EAE2BB3CA4" id="89512082" storeitemid="X_5F329CAD-B019-4FA6-9FEF-74898909AD20" text="t" title="Post Title" xpath="/ns0:BlogPostInfo/ns0:PostTitle"></w:sdt></span>
  <div class="Publishwithline">
Applications of Chezy’s and Manning’s Formulas.<o:p></o:p><w:sdtpr></w:sdtpr></div>
</w:sdt>
 </span><div style="border-bottom: solid #C6C6C6 1.0pt; border: none; mso-element: para-border-div; padding: 0in 0in 2.0pt 0in;">
<div class="underline">
<span style="font-family: "trebuchet ms" , sans-serif;"><br /></span></div>
</div>
<div class="PadderBetweenControlandBody">
<span style="font-family: "trebuchet ms" , sans-serif;"><br /></span></div>
<div class="MsoNormal" style="background: white;">
<div class="MsoNormal" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">
<b><span style="font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-bidi-font-family: "Times New Roman";">OBJECTIVES: </span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"><br />
<br /><span style="font-weight: normal;">
-        To study the variation of
Chezy’s “C” and Manning’s “</span></span><span style="font-weight: normal;"><span style="font-size: 12.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ȵ</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Baskerville Old Face";">”</span></span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"><span style="font-weight: normal;"> as a function of velocity in the
flume.<br />
-           To study the applications of Manning’s and
Chezy’s formulas.<br />
-           To investigate the
relationship between the Manning’s and Chezy’s coefficients for the flume</span>.<br />
<br />
</span><b><span style="font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-bidi-font-family: "Times New Roman";">Apparatus
Used:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"> <br />
<br /><span style="font-weight: normal;">
-          S-6 glass sided tilting flume.<br />
-          Point gauge with railing.<br />
-          Manometer<br />
-          Pump<br />
-          Intake tank<br />
-          Outlet</span><br />
<br />
</span><b><span style="font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-bidi-font-family: "Times New Roman";">Flume:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"><br />
<br />
    <span style="font-weight: normal;">It is an open channel which is
supported on or above ground and is used for conveying water. It is in the form
of an open declined gravity chute whose walls are raised above the surrounding
terrain.</span><br />
<br />
</span><b><span style="color: blue; font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-bidi-font-family: "Times New Roman";"><a href="http://civilengineering-ideas.blogspot.com/2015/11/different-fluid-flow-types.html" target="_blank"><span style="color: red;">Types of Fluid Flows</span></a></span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"><br />
<br /><span style="font-weight: normal;"><span style="font-weight: normal;">
-   Open Channel flow</span><br /><span style="font-weight: normal;">
-   Steady Uniform flow</span><br /><span style="font-weight: normal;">
-   Steady non-Uniform flow.</span><br /><span style="font-weight: normal;">
-   Non-Uniform flow.</span><br />
<br /><span style="font-weight: normal;">
-   Laminar flow</span><br /><span style="font-weight: normal;">
-   Turbulent flow</span><br /><span style="font-weight: normal;">
-   Transient flow</span><br /><span style="font-weight: normal;">
                             </span><a href="http://civilengineering-ideas.blogspot.com/2015/11/different-fluid-flow-types.html" target="_blank"><span style="color: red;"><i>Details</i></span></a></span><br />
<br />
</span><b><span style="font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-bidi-font-family: "Times New Roman";">Chezy’s
formula:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"><br />
<br />
              <span style="font-weight: normal;">Chezy’s formula was
presented in 1775. It states that:</span><br />
<span style="font-weight: normal;">                        Velocity is an
open channel is a function of hydraulics radius and slope of the channel bed.</span><br />
<span style="font-weight: normal;">                          Mathematically
it is equal to:</span><br />
<span style="font-weight: normal;">                             V = C * sqrt(RS)</span><br /><span style="font-weight: normal;">
Where,</span><br /><span style="font-weight: normal;">
V = Velocity of the flow</span><br /><span style="font-weight: normal;">
R = Hydraulic Radius</span><br /><span style="font-weight: normal;">
C = Slope of Channel Bed</span><br /><span style="font-weight: normal;">
C = Chezy’s Coefficient</span><br />
<br />
According to Kutler’s Formula.<br />
<br /><span style="font-weight: normal;">
C= sqrt(8g)/f</span><br />
<br />
<br />
</span><b><span style="font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-bidi-font-family: "Times New Roman";">Manning’s
Formula:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"> <br />
              <span style="font-weight: normal;">V = 1/ </span></span><span style="font-weight: normal;"><span style="font-size: 12.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ȵ</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"> *(R)^</span><span style="font-family: "gadugi" , sans-serif; font-size: 9.0pt; mso-bidi-font-family: "Times New Roman";">2/3</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"> * (S)^</span><span style="font-family: "gadugi" , sans-serif; font-size: 9.0pt; mso-bidi-font-family: "Times New Roman";">1/2</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";"><br />
<br />
Where,<br />
<br />
</span><span style="font-family: "gadugi" , sans-serif; font-size: 12pt;"><o:p></o:p></span></span></div>
<span style="font-weight: normal;"><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">V = Velocity of the flow<br />
R = Hydraulic Radius<br />
C = Slope of Channel Bed<br />
</span><span style="font-family: "calibri" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: Calibri; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">ȵ</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> = Manning</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Baskerville Old Face"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">’</span></span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"><span style="font-weight: normal;">s Coefficient</span><br />
<br />
</span><b><span style="font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">Hydraulic
Radius:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"><br />
            <span style="font-weight: normal;">The hydraulic radius is
defined as the measure of channel flow efficiency.<br />
<br />
                               R = A/P<br />
Where,<br />
      R = Hydraulics Radius.<br />
      A = Cross-sectional Area of flow.<br />
      P = Wetted Perimeter.<br />
  The efficiency of channel depends on
hydraulic radius. More will be the hydraulic radius more will be the efficiency
of channel.</span><br />
<br />
</span><b><span style="font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">Relationship
between Manning’s and Chezy’s Coefficient:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"><br />
<br />
           <span style="font-weight: normal;">Chezy Coefficient ‘C’ and
Manning’s Coefficient ‘</span></span><span style="font-weight: normal;"><span style="font-family: "calibri" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: Calibri; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">ȵ</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">’ are inversely
proportional to each other.<br />
                     <br />
                                              
Chezy’s:<br />
                                                        
V = C * sqrt(RS)-------------Eq. (1)<br />
                                              
Manning’s:<br />
                                                        
V = 1/ </span><span style="font-family: "calibri" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: Calibri; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">ȵ</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> *(R)^</span><span style="font-family: "gadugi" , sans-serif; font-size: 9.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">2/3</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> * (S)^</span><span style="font-family: "gadugi" , sans-serif; font-size: 9.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">1/2</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">-------------Eq. (2)<br />
<br />
                                              
Comparing both equations:<br />
                                                    C * sqrt(RS) =
1/ </span><span style="font-family: "calibri" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: Calibri; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">ȵ</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> *(R)^2/3 * (S)^1/2<br />
<br />
                                                     
C = (R</span><span style="font-family: "gadugi" , sans-serif; font-size: 8.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">h</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">)^</span><span style="font-family: "gadugi" , sans-serif; font-size: 9.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">1/6</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> </span><span style="font-family: "gadugi" , sans-serif; font-size: 20.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">/</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> </span><span style="font-family: "calibri" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: Calibri; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">ȵ</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">     OR   
</span><span style="font-family: "calibri" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: Calibri; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">ȵ</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> = (R</span><span style="font-family: "gadugi" , sans-serif; font-size: 8.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">h</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">)^</span><span style="font-family: "gadugi" , sans-serif; font-size: 9.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">1/6</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> </span><span style="font-family: "gadugi" , sans-serif; font-size: 20.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">/</span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"> C<br />
<br />
                                                           
C inversely proportional to </span><span style="font-family: "calibri" , sans-serif; font-size: 16.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: Calibri; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">ȵ</span></span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"><span style="font-weight: normal;">.</span><br />
<br />
</span><b><span style="font-family: "gadugi" , sans-serif; font-size: 16.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;">PROCEDURE:</span></b><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast;"><br />
<br /><span style="font-weight: normal;">
-      Turn on the Apparatus.<br />
-      Allow the water in the flume to
stabilize so that the flow becomes uniform that is the depth and velocity of
flow becomes constant.<br />
-      Set the slope of the flow in the
glass tilted flume.<br />
-      Note the reading from the
manometer. The manometric head difference will give total discharge ‘V’<br />
-      Measure depth at 3 different
locations for each discharge value.<br />
-      Measure the hydraulic radius of
the area.<br />
-      Determine the roughness coefficients
of Manning’s and Chezy’s using their respective equations.</span><br />
<br />
</span><b><span style="font-family: "gadugi" , sans-serif; font-size: 16pt;">Results:</span></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; font-family: "gadugi" , sans-serif; font-size: 11pt;">          <span style="font-weight: normal;">After the performance of experiment we can now easily answer the
question  that Do manning and chezy coefficients vary with discharge (at
the same water depths)?<br />
          Chezy's coefficient is directly proportional
to discharge while manning's coefficient is inversely proportional to
discharge.<br />
<br />
        The graphs between:<br />
<br />
-        Chezy coefficient and velocity.<br />
-        Manning coefficient and velocity.<br />
-        Chezy coefficient 'C' and Manning coefficient
'</span></span><span style="font-weight: normal;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; font-family: "calibri" , sans-serif; font-size: 11pt;">ȵ</span><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; font-family: "gadugi" , sans-serif; font-size: 11pt;">'<br />
                     
             is shown below.</span></span><span style="font-family: "gadugi" , sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-no-proof: yes;"><br />
<br />
</span></div>
<div class="MsoNormal" style="margin-left: .5in;">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjeKdHNizPIYm8CKRpyus0eo-aD9y8Aau_0Uu4XAqiJi9l9khHxMQZba4efxq4B5YxCeOrgytodKVgLqxgjQNlqlmJIJd7u1gNX8aSUf2v_aFdzNynkvMtiZjfhwj5EYGvUnd381Zp6H4/s1600/graph+1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: "trebuchet ms" , sans-serif;"><img border="0" height="263" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjeKdHNizPIYm8CKRpyus0eo-aD9y8Aau_0Uu4XAqiJi9l9khHxMQZba4efxq4B5YxCeOrgytodKVgLqxgjQNlqlmJIJd7u1gNX8aSUf2v_aFdzNynkvMtiZjfhwj5EYGvUnd381Zp6H4/s320/graph+1.png" width="320" /></span></a></div>
<span style="font-family: "trebuchet ms" , sans-serif;"><span style="font-family: "trebuchet ms" , sans-serif;"><br /></span>
</span><br />
<div style="text-align: left;">
<span style="font-family: "trebuchet ms" , sans-serif;"><span style="font-size: small;">           </span><span style="font-weight: normal;"><span style="font-size: small;">This graph shows that manning's coefficient is inversely proportional to velocity 'V'</span></span></span></div>
<span style="font-family: "trebuchet ms" , sans-serif;"><span style="font-family: "trebuchet ms" , sans-serif;"><br /></span>
</span><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLFhu3GeV-IRl6kil2cVZPcyxXvrPlDmiKSiUgTH6s2wy11LH8YZEvDZP-hblyujo5n3Fm1SbXq2fN0-SyQrQsCwD2Kzhnto4BtnAs1fExtqg-534NAxVvP1lFm8vA3B-hUDVlkvaXLLs/s1600/graph+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: "trebuchet ms" , sans-serif;"><img border="0" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLFhu3GeV-IRl6kil2cVZPcyxXvrPlDmiKSiUgTH6s2wy11LH8YZEvDZP-hblyujo5n3Fm1SbXq2fN0-SyQrQsCwD2Kzhnto4BtnAs1fExtqg-534NAxVvP1lFm8vA3B-hUDVlkvaXLLs/s320/graph+2.png" width="320" /></span></a></div>
<span style="font-family: "trebuchet ms" , sans-serif;"> <span style="font-size: small; font-weight: normal;">This graph shows that Chezy's coefficient "C' is directly proportional to velocity 'V'.</span></span><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVP7fvXO9Jr88PUEqH6N17oxLMA4R4CGrMMKtMc_DutQ1_6b8uKKb-U2hnI8mTAl0awBfDup9FKUQajkVuGb60sDN6uXvTfiam5LFJeHQetskvoVzrbuD4W5e2-GkCKx3kBJbkV09RQCc/s1600/Graph.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: "trebuchet ms" , sans-serif;"><img border="0" height="269" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVP7fvXO9Jr88PUEqH6N17oxLMA4R4CGrMMKtMc_DutQ1_6b8uKKb-U2hnI8mTAl0awBfDup9FKUQajkVuGb60sDN6uXvTfiam5LFJeHQetskvoVzrbuD4W5e2-GkCKx3kBJbkV09RQCc/s320/Graph.png" width="320" /></span></a></div>
<span style="font-family: "times new roman" , serif; font-size: 12.0pt;"><span style="font-family: "trebuchet ms" , sans-serif; font-weight: normal;"><span style="font-family: "times new roman"; font-size: small;"><br />This graph shows that manning's coefficient is inversely proportional to Chezy's Coefficient 'C'</span><br style="font-family: 'Times New Roman'; font-size: 24px;" />                                          </span><br />
<span style="font-family: "times new roman" , serif;"><o:p></o:p></span></span></div>
</h2>
<span style="font-family: "times new roman" , serif; font-size: 12.0pt;">
<o:p></o:p></span></div>
<div class="MsoNormal">
<o:p></o:p></div>
</div>

How to determine Manning's and Chezy's Coefficients for Laboratory Flume.

Applications of Chezy’s and Manning’s Formulas. OBJECTIVES: - To study the variation of Chezy’s “C” and Manning’s...

+ Read more »

Design of Concrete Mix by ACI method

<div dir="ltr" style="text-align: left;" trbidi="on">
<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="MsoNormal" style="line-height: 150%;">
<div class="MsoNormal" style="line-height: 150%;">
<div class="MsoNormal" style="line-height: 150%;">
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_vqpGTQbG18VPBRX6Eo1g4RYMEmEPQs3SvfTmuui0rssgGkOCCnxnVzTZRR2CNL85RRIgnnXS0DqfKhLqWw1i4jug_R1-Ow0C67vEUcLeBSU48_Pwjg0jZeJdkcojf6uPifKMDaAil04/s1600/tmp643.tmp_tcm77-1299959.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_vqpGTQbG18VPBRX6Eo1g4RYMEmEPQs3SvfTmuui0rssgGkOCCnxnVzTZRR2CNL85RRIgnnXS0DqfKhLqWw1i4jug_R1-Ow0C67vEUcLeBSU48_Pwjg0jZeJdkcojf6uPifKMDaAil04/s320/tmp643.tmp_tcm77-1299959.jpg" width="318" /></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><span style="font-family: "arial" , "sans-serif"; font-size: 14.0pt; line-height: 150%;">How to design a concrete
mix.</span><span style="font-family: "arial" , "sans-serif"; font-size: 20.0pt; line-height: 150%;"><br />
</span><span style="font-family: "arial" , "sans-serif"; font-size: 14.0pt; line-height: 150%;">ACI
318 Method.</span><span style="font-family: "arial" , "sans-serif"; font-size: 20.0pt; line-height: 150%;"><br />
Concrete Mix Design<br /><br />
                   </span><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">Mix
design means the selection of suitable ingredients of concrete and their
relative quantities to obtain an economical concrete with values of certain
properties not less than their desired minimum values, such as<br />
1)   Workability<br />
2)   Strength<br />
3)   Durability<br />
4)   <a href="http://civilengineering-ideas.blogspot.com/2015/10/how-to-determine-consistency-of-cement.html" target="_blank">Consistency</a><br />
                                 The code criteria to be satisfied during a
mix design are the maximum water /cement ratio, maximum size of aggregate and
air contents within specified limits<br />
<br />
                                 A
concrete mix design should focus on three key issues:<br />
1).   Does the mix meet the performance
requirements of the specifications with respect to strength and other
characteristics such as shrinkage, permeability, w/cm ratio, etc.?<br />
2).   Is the trial batch test data
adequate to justify the strength?<br />
3).   Do the materials used comply with the project
requirements as evidenced by test results, certifications, and product data?</span><span style="font-family: "arial" , "sans-serif";"> <br />
<br />
</span><span style="font-family: "arial" , "sans-serif"; font-size: 18.0pt; line-height: 150%;">Type
of cement:<br />
                      </span><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">The
type of cement is selected depending upon the required rate of gain of
strength, the likelihood of chemical attack and the required thermal behavior.<br />
<br />
</span><span style="font-family: "arial" , "sans-serif"; font-size: 16.0pt; line-height: 150%;">Example
Problem:<br />
              </span><span style="font-family: "arial" , "sans-serif"; font-size: 14.0pt; line-height: 150%;">Data
Known:<br />
</span><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">Specified
strength                     = 20 MPa<br />
Required Slump                        =
50 mm<br />
Maximum size of aggregate     = 20 mm<br />
FM of fine aggregate                =
2.20<br />
Grading of aggregate as satisfied by by ASTM C33<br />
SSD specific gravity of fine and coarse aggregate    = 2.65<br />
Rodded bulk density of coarse aggregate                 = 1600 kg/cubic m</span><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br />
Absorption Capacity of coarse aggregate                 = 0.5 %<br />
</span><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">Absorption
Capacity of fine aggregate                      =
0.7%<br />
Moisture Content of fine and coarse aggregate 
      = Zero<br />
Exposure Conditions = Normal <br />
<br />
</span><b><span style="font-family: "arial" , "sans-serif"; font-size: 14.0pt; line-height: 150%;">             </span></b><span style="font-family: "arial" , "sans-serif"; font-size: 18.0pt; line-height: 150%;">SOLUTION:</span><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
<b><br />Step 1:  
Specified Strength</b>.<br />
<br />          The first step is the
determination of specific strength <br />
           In this case the specified strength is
given as 20 MPa<br />
<b><br />Step 2:  
Type of Cement.</b><br />
<br />          Given exposure conditions are
normal, so it is better to use Portland cement.<br />
<b><br />Step 3:   Target Strength.</b><br />
<br />          Design
average strength = fcr = fc + 7.0<br />
                                                         
= 20 +7 = 27 MPa<br />
where,<br />
fc = Characteristic/Specified Strength of concrete.<br />
fcr = Target strength of concrete.<br />
Note:<br />
          Specified Strength is the
result of the actual compression testing done of properly prepared, cured and
tested samples.<br />
          Whereas, Target strength
implies what it was supposed to be, according to its designers.<br />
If previous statistical data is not given then, the required average strength
is determined according to the ACI code as follows:<br />
                  fcr  ≥ 
fc  +  7.0 MPa    
for        fc  ≤  21
MPa<br />
                  fcr  ≥ fc + 
8.5 MPa       for        fc 
=  21 to 35 MPa<br />
                  fcr  ≥ 1.1fc + 5.0 MPa   for       
fc  >   35 MPa<br />
<br />
<b>Step 4:    Water/Cement Ratio</b>.<br />
                                 Water/Cement
ratio of the concrete mix will depend upon the target strength of concrete mix.
The following table show the relationship between the two by proposed by ACI
Code.<br />
<br />
<o:p></o:p></span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184;">
 <tbody>
<tr style="height: 66.1pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
  <td style="border: solid windowtext 1.0pt; height: 66.1pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  Average Compressive strength at 28 days<br />
                           (MPa)<o:p></o:p></span></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; height: 66.1pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
     Effective water/cement ratio by mass
  <br />
         for Non Air Entrained Concrete<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">45<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.38<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">40<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.43<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">35<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.48<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><u><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">30<o:p></o:p></span></u></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><u><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.55<o:p></o:p></span></u></b></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><u><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">25<o:p></o:p></span></u></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><u><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.62<o:p></o:p></span></u></b></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">20<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.70<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">15<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 3.45in;" valign="top" width="331"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.80<o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal" style="line-height: 150%;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; line-height: 150%; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; line-height: 150%; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; line-height: 150%; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; line-height: 150%; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; line-height: 150%; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; line-height: 150%; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="clear: right; float: right; line-height: 150%; margin-bottom: 1em; margin-left: 1em;"></a><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
As in our case the target strength is 27 MPa for which the required water/cement
ratio is not given so we will find the required value using interpolation.<br />
<br />                                    Strength                            
W/C ratio<br />
                                     30
MPa                                 0.55<br />
                                     27
MPa                                    ?<br />
                                     25
MPa                                 0.62<br />
<br />
                   W/C ratio   =    </span><span style="font-family: "arial" , "sans-serif"; font-size: 14.0pt; line-height: 150%;">0.55 </span><span style="font-family: "arial" , "sans-serif"; font-size: 16.0pt; line-height: 150%;"><span style="font-size: 16pt; line-height: 150%;">+ (0.62-0.55) / (30-25) </span></span><span style="font-family: "arial" , sans-serif; font-size: 14pt; line-height: 150%;">= 0.59</span><br />
<div style="line-height: 150%;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Step 5:<br />
     Water Content</span></b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">.<br />
<br />    The water content of cement depends upon the
slump value and the maximum aggregate size. The following table shows the
relationship between them as proposed by the ACI code.</span><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">   <o:p></o:p></span></div>
</div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184; width: 663px;">
 <tbody>
<tr style="height: 24.25pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
  <td rowspan="2" style="border: solid windowtext 1.0pt; height: 24.25pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 136.0pt;" valign="top" width="181"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">Workability<o:p></o:p></span></div>
<div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">(Slump)<o:p></o:p></span></div>
</td>
  <td colspan="6" style="border-left: none; border: solid windowtext 1.0pt; height: 24.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 361.45pt;" valign="top" width="482"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.blogger.com/blogger.g?blogID=1842224815180088377" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">Water Content of Concrete for Maximum Aggregate
  Size (mm) for Non-Air Entrained Concrete<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 19.45pt; mso-yfti-irow: 1;">
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 19.45pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">10<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 19.45pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 67.5pt;" valign="top" width="90"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">12.5<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 19.45pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">20<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 19.45pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">25<o:p></o:p></span></b></div>
</td>
  <td colspan="2" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 19.45pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 77.95pt;" valign="top" width="104"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">40<o:p></o:p></span></b></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 136.0pt;" valign="top" width="181"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">30
  – 50<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">205<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 67.5pt;" valign="top" width="90"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">200<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><u><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">185<o:p></o:p></span></u></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">180<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 77.3pt;" valign="top" width="103"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">160<o:p></o:p></span></div>
</td>
  <td style="border: none; mso-cell-special: placeholder; padding: 0in 0in 0in 0in;" width="1"><div class="MsoNormal">
<br /></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 136.0pt;" valign="top" width="181"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">80
  – 100<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">225<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 67.5pt;" valign="top" width="90"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">215<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">200<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">195<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 77.3pt;" valign="top" width="103"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">175<o:p></o:p></span></div>
</td>
  <td style="border: none; mso-cell-special: placeholder; padding: 0in 0in 0in 0in;" width="1"><div class="MsoNormal">
<br /></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 136.0pt;" valign="top" width="181"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">150
  – 180<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">240<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 67.5pt;" valign="top" width="90"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">230<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">210<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">205<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 77.3pt;" valign="top" width="103"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">185<o:p></o:p></span></div>
</td>
  <td style="border: none; mso-cell-special: placeholder; padding: 0in 0in 0in 0in;" width="1"><div class="MsoNormal">
<br /></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 136.0pt;" valign="top" width="181"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">Approximate Entrapped Air Content
  Percent<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  3<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 67.5pt;" valign="top" width="90"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  2.5<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  2.0<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  1.5<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 77.3pt;" valign="top" width="103"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  1.0<o:p></o:p></span></div>
</td>
  <td style="border: none; mso-cell-special: placeholder; padding: 0in 0in 0in 0in;" width="1"><div class="MsoNormal">
<br /></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 136.0pt;" valign="top" width="181"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  Recommended Avg. Air Content percent for<br />
  <b>Mild Exposure<br />
  Moderate Exposure<br />
  Extreme Exposure</b><o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  <br />
  <br />
  4.5<br />
  6.0<br />
  7.5<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 67.5pt;" valign="top" width="90"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  <br />
  <br />
  4.0<br />
  5.5<br />
  7.0<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  <br />
  <br />
  3.5<br />
  5.0<o:p></o:p></span></div>
<div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">6.0<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in;">
<br /></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  <br />
  <br />
  3.0<br />
  4.5<o:p></o:p></span></div>
<div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">6.0<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 77.3pt;" valign="top" width="103"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
  <br />
  <br />
  2.5<br />
  4.5<br />
  5.5<o:p></o:p></span></div>
</td>
  <td style="border: none; mso-cell-special: placeholder; padding: 0in 0in 0in 0in;" width="1"><div class="MsoNormal">
<br /></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal" style="line-height: 150%;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><br />
    So as in our case the mixing water
content for non-air entrained concrete with a slump of 50 mm and maximum
aggregate of 20 mm is <b>185 kg/cubic m</b></span><b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> </span></b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">(from table)<br />
<br />
<b>Step 6</b>:<br />
      The approximate entrapped air
content is <b>2%</b>.<br />
<b><br />Step 7:</b><br />
</span><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">   <b>Cement
Content.</b><br />
<br />      Cement content can be calculated by
the ratio between water content to W/C ratio.<br />
                        Cement Content =
Water Content / W/C Ratio<br />
                                                   = 185/0.59<br />
                                                  
= 314 kg/cubic meter<br />
<b>Step 8:</b><br />   Grading of coarse and fine aggregates
satisfy the requirements as proposed by ACI.<br />
<br />
<b>Step 9:<br />
Mass of Coarse Aggregate.</b><br />
<br />    It depends upon maximum size of aggregate and
fineness modulus of fine aggregate.<br />
    The following table shows the relation
as proposed by ACI.<br />
<br />
<br />
<o:p></o:p></span></div>
<div align="center" style="line-height: 150%;">
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184;">
 <tbody>
<tr>
  <td rowspan="2" style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">Maximum Size of Aggregate<o:p></o:p></span></div>
</td>
  <td colspan="8" style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 430.55pt;" valign="top" width="574"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">Dry bulk volume of Rodded Coarse
  Aggregate per unit volume of concrete for fineness modulus of sand of:<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">1.6<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">1.8<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">2.0<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">2.2<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">2.4<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">2.6<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">2.8<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">3.0<o:p></o:p></span></b></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">10<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.56<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.55<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.54<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.52<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.50<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.48<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.46<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.44<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">12.5<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.65<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.64<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.63<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.61<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.59<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.57<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.55<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.55<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">20<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.72<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.71<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.70<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><u><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.68<o:p></o:p></span></u></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.66<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.64<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.62<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.60<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">25<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.77<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.76<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.73<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.73<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.71<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.69<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.67<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.65<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">40<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.81<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.80<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.79<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.77<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.75<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.73<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.71<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.69<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">50<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.84<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.83<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.82<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.80<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.78<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.76<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.74<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.72<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">70<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.86<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.85<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.85<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.84<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.82<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.80<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.78<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.76<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 66.25pt;" valign="top" width="88"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<b><span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">150<o:p></o:p></span></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.91<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.90<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.85pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.89<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.88<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.87<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.85<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.86<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 53.8pt;" valign="top" width="72"><div align="center" class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;">0.81<o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
</div>
<div style="line-height: 150%;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><br /><br /> In this case as maximum size of aggregate is 20 mm and fineness modulus of fine
aggregate is 2.20 So dry bulk volume of the aggregate per unit volume of
concrete  = <b>0.68</b>.<br />
<br />
             Volume of SSD coarse aggregate required
= 0.68 cubic m/cubic m of concrete<br />
<br />
             Mass of coarse aggregate    =    0.68 * 1600 (Rodded bulk density of coarse<br />
              aggregate)<br />
<br />             Mass of coarse aggregate    =    <b>1088 kg/cubic</b><br />
<br />
<b>Step 10:<br />
 Mass of fine aggregate</b>.<br /><br />Specific gravity of fine aggregate = Yf =  2.65<br /><br /> Water content = W = 185 kg/cubic m<br /><br /> Cement content = C = 314 kg/cubic m<br /><br /> Specific gravity of cement = Y = 3.15<br /><br /> Mass of coarse aggregate = Ac = 1088 kg/cubic m<br /><br /> Specific gravity of coarse aggregate = Yc = 2.65<br /><br /> Air content = 2 %<br />
<br />
Mass of fine aggregate = Yf [ 1000- ( W + C/Y + Ac/Yc + 10A )]<br />
<br />                                      = 2.65
[1000- ( 185 + 314/3.15 + 1088/2.65 + 20 )]<br />
<br />                                      = 755
kg/cubic m<br />
<br />
<b>Step 11:</b><br />
<br />   Extra water required for absorption of
Aggregate = 0.005 * 1088 (Ac) +  0.007 *
755 (Af)<br />
                                                                                 =
10.73 kg/cubic m<br />
   Total water content = 185 + 10.73 =
196 kg/cubic m<br />
<br />
<b>Note:</b><br /><br /> If excess water is present in the aggregate the required water is to be reduced
accordingly.<br />
<br />
<b>Step 12:</b><br />
<br />  The quantities of the mix of 1.0 cubic
m are as under:<br />
<br />    Cement                    :   314 kg/cubic m<br />
<br />    Fine aggregate        :  
755 kg/cubic m<br />
<br />    Coarse Aggregate   :  
1088 kg/cubic m<br />
<br />    Water                      :    196
kg/cubic m<br />
<br />
    <b>The mix ratio is as follows :</b><br />
<br />     Cement : Fine Aggregate : Coarse
Aggregate     =  314 : 755 : 1088<br />
                                                     
                            =     1  :
2.40 : 3.46<br />
<br />         Aggregate / Cement ratio   = 
5.87<br />
         W/C ratio     =   0.59</span></div>
</div>
<div class="MsoNormal" style="line-height: 150%;">
<span style="font-family: "arial" , "sans-serif"; font-size: 12.0pt; line-height: 150%;"><o:p></o:p></span></div>
</div>
</div>
</div>

Design of Concrete Mix by ACI method

How to design a concrete mix. ACI 318 Method. Concrete Mix Design Mix design means the selection ...

+ Read more »