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					<c val="#800000">DOT refers to the Iowa Department of Transportation</c>
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					<c val="#800000">OBS refers to the Iowa DOT Office of Bridges and Structures</c>
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					<c val="#800000">Disclaimer: This software is intended for use by Iowa DOT personnel and consultants working for the OBS in their development of projects for the Iowa DOT. Any other use is at the sole discretion of the user. The Iowa DOT makes the software available "AS IS" and assumes no liability nor makes any warranty of any kind, including warranties of noninfringement, fitness or merchantability whether expressed or implied, to the accuracy or functionality of this software. By downloading or using this file, you are agreeing to this disclaimer.</c>
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					<c val="#800000">The OBS will only support those persons using this software in connection with Iowa DOT related business.</c>
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					<c val="#800000">Please report any errors to the Iowa DOT OBS.</c>
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							<c val="#00f">1.0<sp count="2"/>Unstiffened Shear Resistance </c>
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								<c val="#00f">Shear Capacity - End Panel</c>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This Worksheet calculates the web shear capacity in the end panel at the discontinuous end of the girder.<sp count="2"/>
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			</math>
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						<b>
							<inlineAttr line-through="false">SPECIFICATION:<tab/>
							</inlineAttr>
						</b>
					</f>LRFD 5th Edition, 2010 (U.S. Units).<sp count="2"/>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="85.5">
					<tab/>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="85.5">
					<tab/>
				</p>
			</text>
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			<math optimize="false" disable-calc="false">
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						<ml:id xml:space="preserve">lbf</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:real>2</ml:real>
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					</ml:apply>
				</ml:define>
			</math>
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		<region region-id="31658" left="6" top="560.25" width="75" height="12" align-x="6" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
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						<b>
							<inlineAttr line-through="false">ASSUMPTIONS:</inlineAttr>
						</b>
					</f>
				</p>
			</text>
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		<region region-id="31659" left="90" top="560.25" width="431.25" height="12" align-x="90" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">No longitudinal stiffeners.</p>
			</text>
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		<region region-id="29095" left="1122" top="554.25" width="41.25" height="33.75" align-x="1140" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
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					<ml:id xml:space="preserve">ksi</ml:id>
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						<ml:div/>
						<ml:id xml:space="preserve">kip</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">in</ml:id>
							<ml:real>2</ml:real>
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					</ml:apply>
				</ml:define>
			</math>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
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								<inlineAttr line-through="false">
									<c val="#00f">INPUT SECTION</c>
								</inlineAttr>
							</u>
						</b>
					</f>
				</p>
			</text>
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		<region region-id="29096" left="1122" top="590.25" width="45" height="33.75" align-x="1143.75" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pcf</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">lbf</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:real>3</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
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		</region>
		<region region-id="31661" left="30" top="620.25" width="51.75" height="12" align-x="30" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Web Depth:</p>
			</text>
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		<region region-id="31662" left="342" top="621" width="41.25" height="12.75" align-x="355.5" align-y="630" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">D</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>64</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="10"/>
		</region>
		<region region-id="31663" left="30" top="644.25" width="70.5" height="12" align-x="30" align-y="654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Web Thickness:</p>
			</text>
		</region>
		<region region-id="31664" left="342" top="645" width="60" height="16.5" align-x="358.5" align-y="654" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="w">t</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>0.4375</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="11"/>
		</region>
		<region region-id="31665" left="30" top="668.25" width="87.75" height="12" align-x="55.5" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Web Yield Strength:</p>
			</text>
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		<region region-id="31666" left="342" top="669" width="55.5" height="16.5" align-x="366" align-y="678" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="yw">F</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>50</ml:real>
						<ml:id xml:space="preserve">ksi</ml:id>
					</ml:apply>
				</ml:define>
			</math>
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		<region region-id="29097" left="1122" top="680.25" width="41.25" height="27.75" align-x="1140" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
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					<ml:id xml:space="preserve">klf</ml:id>
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						<ml:id xml:space="preserve">kip</ml:id>
						<ml:id xml:space="preserve">ft</ml:id>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Steel Modulus of Elasticity:</p>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="s">E</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>29000</ml:real>
						<ml:id xml:space="preserve">ksi</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="14"/>
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		<region region-id="31669" left="30" top="716.25" width="76.5" height="12" align-x="30" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Stiffener Spacing:</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="0">d</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>5</ml:real>
						<ml:id xml:space="preserve">ft</ml:id>
					</ml:apply>
				</ml:define>
			</math>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Applied Shears (Unfactored):</p>
			</text>
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		<region region-id="31672" left="48" top="764.25" width="71.25" height="12" align-x="48" align-y="774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Dead Load DC1:</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="DC1">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>53</ml:real>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:apply>
				</ml:define>
			</math>
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		<region region-id="31696" left="48" top="788.25" width="71.25" height="12" align-x="48" align-y="798" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Dead Load DC2:</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="DC2">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>11</ml:real>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:apply>
				</ml:define>
			</math>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Dead Load DW:</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="DW">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8</ml:real>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:apply>
				</ml:define>
			</math>
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		<region region-id="31692" left="48" top="836.25" width="98.25" height="12" align-x="48" align-y="846" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Live Load Plus Impact:</p>
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		<region region-id="31693" left="342" top="837" width="60" height="16.5" align-x="365.25" align-y="846" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="LL">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>116</ml:real>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:apply>
				</ml:define>
			</math>
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		<region region-id="32975" left="30" top="860.25" width="306" height="24" align-x="46.5" align-y="870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Load Modifier Relating to Ductility, Redundancy and Operational Importance:</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="i">η</ml:id>
					<ml:real>1.0</ml:real>
				</ml:define>
			</math>
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			<pageBreak/>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="12">
						<b>
							<u>
								<inlineAttr line-through="false">
									<c val="#00f">CALCULATION SECTION</c>
								</inlineAttr>
							</u>
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			</text>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
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						<b>
							<inlineAttr line-through="false">
								<c val="#00f">1.0<sp count="2"/>UNSTIFFENED SHEAR RESISTANCE </c>
							</inlineAttr>
						</b>
					</f>
				</p>
			</text>
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		<region region-id="27707" left="48" top="1184.25" width="447.75" height="36" align-x="51" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If no intermediate stiffeners are supplied, or the stiffener spacing exceeds 1.5 times the depth of the web, the shear capacity is calculated based on an unstiffened web.<sp count="2"/>Therefore, determine the unstiffened shear resistance for use in subsequent calculations.</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:apply xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:equal/>
					<ml:id xml:space="preserve" subscript="nu">ϕV</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:mult/>
										<ml:id xml:space="preserve" subscript="v">ϕ</ml:id>
										<ml:id xml:space="preserve">C</ml:id>
									</ml:apply>
									<ml:real>0.58</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="yw">F</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">D</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="w">t</ml:id>
					</ml:apply>
				</ml:apply>
			</math>
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		<region region-id="27240" left="198" top="1233" width="38.25" height="16.5" align-x="216.75" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="v">ϕ</ml:id>
					<ml:real>1.0</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="22"/>
		</region>
		<region region-id="27241" left="432" top="1232.25" width="61.5" height="12" align-x="432" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.2-1&amp;2)</p>
			</text>
		</region>
		<region region-id="27242" left="48" top="1262.25" width="64.5" height="15" align-x="66" align-y="1272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Calculate D/t<f family="Arial" charset="0">
						<inlineAttr line-through="false">
							<c val="#00f">
								<sub>w</sub>
							</c>
						</inlineAttr>
					</f>:</p>
			</text>
		</region>
		<region region-id="27422" left="66" top="1286.25" width="51.75" height="31.5" align-x="84" align-y="1302" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">D</ml:id>
						<ml:id xml:space="preserve" subscript="w">t</ml:id>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>146.28571428571428</ml:real>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="1" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="23"/>
		</region>
		<region region-id="27244" left="48" top="1328.25" width="291.75" height="12" align-x="66" align-y="1338" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" line-through="false">
							<c val="#00f">Calculate ratio C, shear-buckling resistance to shear yield strength:</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="27423" left="66" top="1347" width="251.25" height="153.75" align-x="78.75" align-y="1368" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">C</ml:id>
					<ml:program>
						<ml:ifThen>
							<ml:apply>
								<ml:lessOrEqual/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">D</ml:id>
									<ml:id xml:space="preserve" subscript="w">t</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>1.12</ml:real>
									<ml:apply>
										<ml:sqrt/>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:mult/>
												<ml:id xml:space="preserve" subscript="s">E</ml:id>
												<ml:parens>
													<ml:real>5</ml:real>
												</ml:parens>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="yw">F</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:real>1.0</ml:real>
						</ml:ifThen>
						<ml:ifThen>
							<ml:apply>
								<ml:lessOrEqual/>
								<ml:apply>
									<ml:lessThan/>
									<ml:apply>
										<ml:mult/>
										<ml:real>1.12</ml:real>
										<ml:apply>
											<ml:sqrt/>
											<ml:apply>
												<ml:div/>
												<ml:apply>
													<ml:mult/>
													<ml:id xml:space="preserve" subscript="s">E</ml:id>
													<ml:parens>
														<ml:real>5</ml:real>
													</ml:parens>
												</ml:apply>
												<ml:id xml:space="preserve" subscript="yw">F</ml:id>
											</ml:apply>
										</ml:apply>
									</ml:apply>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">D</ml:id>
										<ml:id xml:space="preserve" subscript="w">t</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>1.40</ml:real>
									<ml:apply>
										<ml:sqrt/>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:mult/>
												<ml:id xml:space="preserve" subscript="s">E</ml:id>
												<ml:parens>
													<ml:real>5</ml:real>
												</ml:parens>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="yw">F</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:real>1.12</ml:real>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">D</ml:id>
										<ml:id xml:space="preserve" subscript="w">t</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:sqrt/>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:mult/>
											<ml:id xml:space="preserve" subscript="s">E</ml:id>
											<ml:parens>
												<ml:real>5</ml:real>
											</ml:parens>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="yw">F</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:ifThen>
						<ml:ifThen>
							<ml:apply>
								<ml:greaterThan/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">D</ml:id>
									<ml:id xml:space="preserve" subscript="w">t</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>1.40</ml:real>
									<ml:apply>
										<ml:sqrt/>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:mult/>
												<ml:id xml:space="preserve" subscript="s">E</ml:id>
												<ml:parens>
													<ml:real>5</ml:real>
												</ml:parens>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="yw">F</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:real>1.57</ml:real>
									<ml:apply>
										<ml:pow/>
										<ml:parens>
											<ml:apply>
												<ml:div/>
												<ml:id xml:space="preserve">D</ml:id>
												<ml:id xml:space="preserve" subscript="w">t</ml:id>
											</ml:apply>
										</ml:parens>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
								<ml:parens>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:mult/>
											<ml:id xml:space="preserve" subscript="s">E</ml:id>
											<ml:parens>
												<ml:real>5</ml:real>
											</ml:parens>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="yw">F</ml:id>
									</ml:apply>
								</ml:parens>
							</ml:apply>
						</ml:ifThen>
					</ml:program>
				</ml:define>
			</math>
			<rendering item-idref="24"/>
		</region>
		<region region-id="27246" left="336" top="1359" width="45" height="12.75" align-x="347.25" align-y="1368" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">C</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.21276187896728518</ml:real>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="25"/>
		</region>
		<region region-id="27247" left="432" top="1358.25" width="57.75" height="12" align-x="432" align-y="1368" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.2-4)</p>
			</text>
		</region>
		<region region-id="27248" left="432" top="1400.25" width="57.75" height="12" align-x="432" align-y="1410" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.2-5)</p>
			</text>
		</region>
		<region region-id="27249" left="432" top="1454.25" width="57.75" height="12" align-x="432" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.2-6)</p>
			</text>
		</region>
		<region region-id="27250" left="48" top="1508.25" width="131.25" height="12" align-x="71.25" align-y="1518" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" line-through="false">
							<c val="#00f">Unstiffened Shear Resistance:</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="27424" left="66" top="1533" width="120.75" height="16.5" align-x="96" align-y="1542" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="nu">ϕV</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:mult/>
										<ml:id xml:space="preserve" subscript="v">ϕ</ml:id>
										<ml:id xml:space="preserve">C</ml:id>
									</ml:apply>
									<ml:real>0.58</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="yw">F</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">D</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="w">t</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="26"/>
		</region>
		<region region-id="27252" left="336" top="1533" width="64.5" height="16.5" align-x="364.5" align-y="1542" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="nu">ϕV</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>172.76264572143555</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kip"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="0" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="27"/>
		</region>
		<region region-id="28430" left="0" top="1560" width="6000" height="6" align-x="0" align-y="1560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<pageBreak/>
		</region>
		<region region-id="27253" left="30" top="1566.75" width="343.5" height="14.25" align-x="30" align-y="1578" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="22.5" margin-right="0" text-indent="-22.5" text-align="left" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0" size="12">
						<b>
							<inlineAttr line-through="false">
								<c val="#00f">2.0<sp count="2"/>STIFFENED SHEAR RESISTANCE FOR AN END PANEL </c>
							</inlineAttr>
						</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="27709" left="48" top="1592.25" width="441.75" height="48" align-x="48" align-y="1602" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Panels adjacent to the ends of the girder are limited to the buckling shear capacity.<sp count="2"/>No post-buckling strength (tension field action) is allowed.<sp count="2"/>A panel is defined as the web area bounded by adjacent transverse stiffeners.<sp count="2"/>Also, the transverse stiffener spacing is limited to 1.5 times the web depth if the factored shear exceeds the unstiffened shear capacity.</p>
			</text>
		</region>
		<region region-id="27719" left="66" top="1646.25" width="155.25" height="12" align-x="66" align-y="1656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Shear-Buckling Coefficient:</p>
			</text>
		</region>
		<region region-id="27720" left="84" top="1664.25" width="67.5" height="52.5" align-x="96" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">k</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:real>5</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:real>5</ml:real>
							<ml:apply>
								<ml:pow/>
								<ml:parens>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve" subscript="0">d</ml:id>
										<ml:id xml:space="preserve">D</ml:id>
									</ml:apply>
								</ml:parens>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="28"/>
		</region>
		<region region-id="27256" left="336" top="1671" width="39.75" height="12.75" align-x="346.5" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">k</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>10.68888888888889</ml:real>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="1" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="29"/>
		</region>
		<region region-id="27257" left="432" top="1670.25" width="57.75" height="12" align-x="432" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.2-7)</p>
			</text>
		</region>
		<region region-id="27725" left="66" top="1736.25" width="291.75" height="12" align-x="84" align-y="1746" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" line-through="false">
							<c val="#00f">Calculate ratio C, shear-buckling resistance to shear yield strength:</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="27726" left="84" top="1755" width="231" height="153.75" align-x="96.75" align-y="1776" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">C</ml:id>
					<ml:program>
						<ml:ifThen>
							<ml:apply>
								<ml:lessOrEqual/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">D</ml:id>
									<ml:id xml:space="preserve" subscript="w">t</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>1.12</ml:real>
									<ml:apply>
										<ml:sqrt/>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:mult/>
												<ml:id xml:space="preserve" subscript="s">E</ml:id>
												<ml:id xml:space="preserve">k</ml:id>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="yw">F</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:real>1.0</ml:real>
						</ml:ifThen>
						<ml:ifThen>
							<ml:apply>
								<ml:lessOrEqual/>
								<ml:apply>
									<ml:lessThan/>
									<ml:apply>
										<ml:mult/>
										<ml:real>1.12</ml:real>
										<ml:apply>
											<ml:sqrt/>
											<ml:apply>
												<ml:div/>
												<ml:apply>
													<ml:mult/>
													<ml:id xml:space="preserve" subscript="s">E</ml:id>
													<ml:id xml:space="preserve">k</ml:id>
												</ml:apply>
												<ml:id xml:space="preserve" subscript="yw">F</ml:id>
											</ml:apply>
										</ml:apply>
									</ml:apply>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">D</ml:id>
										<ml:id xml:space="preserve" subscript="w">t</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>1.40</ml:real>
									<ml:apply>
										<ml:sqrt/>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:mult/>
												<ml:id xml:space="preserve" subscript="s">E</ml:id>
												<ml:id xml:space="preserve">k</ml:id>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="yw">F</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:real>1.12</ml:real>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">D</ml:id>
										<ml:id xml:space="preserve" subscript="w">t</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:sqrt/>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:mult/>
											<ml:id xml:space="preserve" subscript="s">E</ml:id>
											<ml:id xml:space="preserve">k</ml:id>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="yw">F</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:ifThen>
						<ml:ifThen>
							<ml:apply>
								<ml:greaterThan/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">D</ml:id>
									<ml:id xml:space="preserve" subscript="w">t</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>1.40</ml:real>
									<ml:apply>
										<ml:sqrt/>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:mult/>
												<ml:id xml:space="preserve" subscript="s">E</ml:id>
												<ml:id xml:space="preserve">k</ml:id>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="yw">F</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:real>1.57</ml:real>
									<ml:apply>
										<ml:pow/>
										<ml:parens>
											<ml:apply>
												<ml:div/>
												<ml:id xml:space="preserve">D</ml:id>
												<ml:id xml:space="preserve" subscript="w">t</ml:id>
											</ml:apply>
										</ml:parens>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
								<ml:parens>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:mult/>
											<ml:id xml:space="preserve" subscript="s">E</ml:id>
											<ml:id xml:space="preserve">k</ml:id>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="yw">F</ml:id>
									</ml:apply>
								</ml:parens>
							</ml:apply>
						</ml:ifThen>
					</ml:program>
				</ml:define>
			</math>
			<rendering item-idref="30"/>
		</region>
		<region region-id="27260" left="336" top="1767" width="45" height="12.75" align-x="347.25" align-y="1776" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">C</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.45483761681450741</ml:real>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
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		<region region-id="27261" left="432" top="1766.25" width="57.75" height="12" align-x="432" align-y="1776" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.2-4)</p>
			</text>
		</region>
		<region region-id="27262" left="432" top="1808.25" width="57.75" height="12" align-x="432" align-y="1818" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.2-5)</p>
			</text>
		</region>
		<region region-id="27263" left="432" top="1862.25" width="57.75" height="12" align-x="432" align-y="1872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.2-6)</p>
			</text>
		</region>
		<region region-id="27741" left="66" top="1928.25" width="141" height="15" align-x="89.25" align-y="1938" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" line-through="false">
							<c val="#00f">Stiffened Shear Resistance (V</c>
						</inlineAttr>
					</f>
					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" line-through="false">
							<c val="#00f">
								<sub>n</sub>
							</c>
						</inlineAttr>
					</f>
					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" line-through="false">
							<c val="#00f">):</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="27742" left="84" top="1953" width="84.75" height="16.5" align-x="102" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="p">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:real>0.58</ml:real>
								<ml:id xml:space="preserve" subscript="yw">F</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">D</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="w">t</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="32"/>
		</region>
		<region region-id="27743" left="354" top="1953" width="52.5" height="16.5" align-x="370.5" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="p">V</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>811.99999999999989</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kip"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="0" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="33"/>
		</region>
		<region region-id="27267" left="432" top="1952.25" width="57.75" height="12" align-x="432" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.3-2)</p>
			</text>
		</region>
		<region region-id="27744" left="84" top="1983" width="68.25" height="16.5" align-x="108.75" align-y="1992" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="n">ϕV</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve" subscript="v">ϕ</ml:id>
							<ml:id xml:space="preserve">C</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="p">V</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="34"/>
		</region>
		<region region-id="27745" left="354" top="1983" width="59.25" height="16.5" align-x="377.25" align-y="1992" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="n">ϕV</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>369.32814485337997</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kip"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="0" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="35"/>
		</region>
		<region region-id="27272" left="432" top="1982.25" width="57.75" height="12" align-x="432" align-y="1992" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.3-1)</p>
			</text>
		</region>
		<region region-id="32447" left="66" top="2012.25" width="408.75" height="12" align-x="69" align-y="2022" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If the stiffener spacing exceeds 1.5 times the web depth, the section is considered unstiffened.</p>
			</text>
		</region>
		<region region-id="32448" left="84" top="2031" width="171.75" height="36.75" align-x="108.75" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="n">ϕV</ml:id>
					<ml:program>
						<ml:ifThen>
							<ml:apply>
								<ml:or/>
								<ml:apply>
									<ml:greaterThan/>
									<ml:id xml:space="preserve" subscript="0">d</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>1.5</ml:real>
										<ml:id xml:space="preserve">D</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:equal/>
									<ml:id xml:space="preserve" subscript="0">d</ml:id>
									<ml:real>0</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="nu">ϕV</ml:id>
						</ml:ifThen>
						<ml:otherwise>
							<ml:id xml:space="preserve" subscript="n">ϕV</ml:id>
						</ml:otherwise>
					</ml:program>
				</ml:define>
			</math>
			<rendering item-idref="36"/>
		</region>
		<region region-id="32506" left="354" top="2037" width="59.25" height="16.5" align-x="377.25" align-y="2046" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="n">ϕV</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>369.32814485337997</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kip"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="0" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="37"/>
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		<region region-id="28431" left="0" top="2124" width="6000" height="6" align-x="0" align-y="2124" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<pageBreak/>
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		<region region-id="31349" left="30" top="2136.75" width="154.5" height="14.25" align-x="30" align-y="2148" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="22.5" margin-right="0" text-indent="-22.5" text-align="left" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0" size="12">
						<b>
							<inlineAttr line-through="false">
								<c val="#00f">3.0<sp count="2"/>CHECK LIMIT STATES </c>
							</inlineAttr>
						</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="31351" left="48" top="2162.25" width="248.25" height="12" align-x="53.25" align-y="2172" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<b>Strength I Limit State<sp count="2"/>-<sp count="2"/>1.25(DC)+1.5(DW)+1.75(LL+I)</b>
				</p>
			</text>
		</region>
		<region region-id="31370" left="66" top="2187" width="246.75" height="16.5" align-x="89.25" align-y="2196" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="u.I">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve" subscript="i">η</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:mult/>
										<ml:real>1.25</ml:real>
										<ml:parens>
											<ml:apply>
												<ml:plus/>
												<ml:id xml:space="preserve" subscript="DC1">V</ml:id>
												<ml:id xml:space="preserve" subscript="DC2">V</ml:id>
											</ml:apply>
										</ml:parens>
									</ml:apply>
									<ml:apply>
										<ml:mult/>
										<ml:real>1.5</ml:real>
										<ml:parens>
											<ml:id xml:space="preserve" subscript="DW">V</ml:id>
										</ml:parens>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>1.75</ml:real>
									<ml:parens>
										<ml:id xml:space="preserve" subscript="LL">V</ml:id>
									</ml:parens>
								</ml:apply>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="u.I">V</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kip</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>295</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kip"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="0" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="39"/>
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		<region region-id="32472" left="66" top="2216.25" width="368.25" height="15" align-x="66" align-y="2226" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Check maximum stiffener spacing if V<f family="Arial" charset="0">
						<inlineAttr line-through="false">
							<c val="#00f">
								<sub>u.I </sub>
							</c>
						</inlineAttr>
					</f>
					<f family="Arial" charset="0">
						<inlineAttr line-through="false">
							<c val="#00f">is greater than the unstiffened shear capcity:</c>
						</inlineAttr>
					</f>
				</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="max">d</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1.5</ml:real>
						<ml:id xml:space="preserve">D</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="40"/>
		</region>
		<region region-id="32981" left="348" top="2241" width="58.5" height="16.5" align-x="373.5" align-y="2250" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="max">d</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>7.9999999999999982</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="41"/>
		</region>
		<region region-id="32494" left="432" top="2240.25" width="49.5" height="12" align-x="432" align-y="2250" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(6.10.9.3.3)</p>
			</text>
		</region>
		<region region-id="32496" left="84" top="2277" width="372.75" height="33" align-x="129.75" align-y="2286" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Endpanel</ml:id>
					<ml:program>
						<ml:ifThen>
							<ml:apply>
								<ml:or/>
								<ml:apply>
									<ml:lessOrEqual/>
									<ml:id xml:space="preserve" subscript="0">d</ml:id>
									<ml:id xml:space="preserve" subscript="max">d</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:lessOrEqual/>
									<ml:id xml:space="preserve" subscript="u.I">V</ml:id>
									<ml:id xml:space="preserve" subscript="nu">ϕV</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:str xml:space="preserve">OK, maximum stiffener spacing is satisfied</ml:str>
						</ml:ifThen>
						<ml:otherwise>
							<ml:str xml:space="preserve">NG, maximum stiffener spacing NOT satisfied</ml:str>
						</ml:otherwise>
					</ml:program>
				</ml:define>
			</math>
			<rendering item-idref="42"/>
		</region>
		<region region-id="32498" left="246" top="2325" width="236.25" height="12.75" align-x="290.25" align-y="2334" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Endpanel</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:str xml:space="preserve">OK, maximum stiffener spacing is satisfied</ml:str>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="43"/>
		</region>
		<region region-id="31467" left="66" top="2342.25" width="79.5" height="12" align-x="90" align-y="2352" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Performance ratio:</p>
			</text>
		</region>
		<region region-id="31504" left="84" top="2368.5" width="50.25" height="35.25" align-x="105" align-y="2388" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="I">PR</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="u.I">V</ml:id>
						<ml:id xml:space="preserve" subscript="n">ϕV</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="44"/>
		</region>
		<region region-id="32982" left="348" top="2379" width="48.75" height="16.5" align-x="367.5" align-y="2388" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="I">PR</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.79874768308576227</ml:real>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<decimal precision="2" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="45"/>
		</region>
		<region region-id="31451" left="84" top="2421" width="276" height="33" align-x="129.75" align-y="2430" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Endpanel</ml:id>
					<ml:program>
						<ml:ifThen>
							<ml:apply>
								<ml:greaterOrEqual/>
								<ml:id xml:space="preserve" subscript="n">ϕV</ml:id>
								<ml:id xml:space="preserve" subscript="u.I">V</ml:id>
							</ml:apply>
							<ml:str xml:space="preserve">OK, End panel capacity satisfied</ml:str>
						</ml:ifThen>
						<ml:otherwise>
							<ml:str xml:space="preserve">NG, End panel capacity NOT satisfied</ml:str>
						</ml:otherwise>
					</ml:program>
				</ml:define>
			</math>
			<rendering item-idref="46"/>
		</region>
		<region region-id="31452" left="264" top="2469" width="198" height="12.75" align-x="308.25" align-y="2478" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Endpanel</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:str xml:space="preserve">OK, End panel capacity satisfied</ml:str>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="47"/>
		</region>
	</regions>
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