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					<b>
						<u>GIVEN:</u>
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					<f size="8">See pages 579-597 of </f>
					<f size="8">
						<b>
							<i>Design of Highway Bridges: An LRFD Approach </i>
						</b>
					</f>
					<f size="8">(Second Edition) by Richard M. Barker and Jay A. Puckett for Example Problem for Concrete Barrier Strength</f>
				</p>
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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">
					<b>
						<u>Qcon Input:</u>
					</b>
				</p>
				<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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						<u>
							<tab/>General Properties:<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</u>
					</f>
					<f size="8">
						<u>Dynamic Load Allowance:</u>
					</f>
				</p>
				<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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						<u>
							<tab/>
							<tab/>
						</u>
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						<inlineAttr underline="false">Number of Spans: 1<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
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					<f size="8">Truck = 33%</f>
				</p>
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					<inlineAttr underline="false">
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							<tab/>
							<tab/>Span Continuity:<sp count="2"/>Simple Span<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">Lane = 0%</f>
				</p>
				<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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							<tab/>
							<tab/>Select System of Units:<sp count="2"/>Traditional US Units<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">Fatigue = 15%</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
						</inlineAttr>
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					<f size="8">
						<u>Bridge Geometry:<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</u>
					</f>
					<f size="8">
						<u>Pedestrian Live Load:</u>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<u>
							<tab/>
							<tab/>
						</u>
					</f>
					<f size="8">Span Geometry:<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
					</f>
					<f size="8">Uniform Live Load = 0 lb/ft</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<tab/>
						<tab/>
						<tab/>Span Length:<sp count="2"/>29.0 ft<tab/>
						<tab/>
						<tab/>
					</f>
					<u>
						<f size="8">Load Factors:</f>
					</u>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<tab/>
						<tab/>
						<tab/>
						<sp/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
					</f>
					<f size="8">Strength I:</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<tab/>
						<tab/>Boundary Conditions:<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
					</f>
					<f size="8">Components (DC):<sp count="2"/>0.9(min) 1.25(max)</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<tab/>
						<tab/>
						<tab/>Left Support:<sp count="2"/>Pinned<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
					</f>
					<f size="8">Wearing Surface:<sp count="2"/>0.65(min) 1.50 (max)</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
						<tab/>
					</f>
					<f size="8">Live Load (LL &amp; PL): 1.75</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<tab/>
						<tab/>
						<tab/>Right Support:<sp count="2"/>Pinned<tab/>
						<tab/>
						<tab/>
					</f>
					<f size="8">Service I:</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<tab/>
					</f>
					<f size="8">
						<u>Cross Section Description:<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</u>
					</f>
					<f size="8">Components (DC):<sp count="2"/>1.00</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<u>
							<tab/>
							<tab/>
						</u>
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					<f size="8">
						<inlineAttr underline="false">Ex</inlineAttr>
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					<inlineAttr underline="false">
						<f size="8">terior Span Properties/Interior Span Properties:<tab/>
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">Wearing Surface:<sp count="2"/>1.00</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
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							<tab/>
							<tab/>
							<tab/>Section Material Properties:<tab/>
							<tab/>
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">Live Load (LL &amp; PL): 1.00</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
							<tab/>
							<tab/>
						</f>
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					<f size="8">
						<c val="#00f">A</c>
					</f>
					<sub>
						<c val="#00f">
							<f size="8">x</f>
						</c>
					</sub>
					<c val="#00f">
						<f size="8"> = 2477.584 in</f>
					</c>
					<sup>
						<c val="#00f">
							<f size="8">2 </f>
						</c>
					</sup>
					<c val="#00f">
						<f size="8">(Strip) </f>
					</c>
					<f size="8">
						<inlineAttr underline="false">
							<c val="#00f"> 1210.021 in</c>
						</inlineAttr>
					</f>
					<sup>
						<c val="#00f">
							<inlineAttr underline="false">
								<f size="8">2 (</f>
							</inlineAttr>
						</c>
					</sup>
					<inlineAttr underline="false">
						<f size="8">
							<c val="#00f">Edge)</c>
						</f>
					</inlineAttr>
					<sup>
						<inlineAttr underline="false">
							<f size="8">
								<tab/>
							</f>
						</inlineAttr>
					</sup>
					<f size="8">Service II:</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<sup>
								<tab/>
								<tab/>
								<tab/>
							</sup>
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					</f>
					<inlineAttr underline="false">
						<f size="8">
							<c val="#00f">I</c>
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					</inlineAttr>
					<sub>
						<inlineAttr underline="false">
							<f size="8">
								<c val="#00f">z</c>
							</f>
						</inlineAttr>
					</sub>
					<f size="8">
						<c val="#00f">
							<inlineAttr underline="false"> = 72585.463 in</inlineAttr>
						</c>
					</f>
					<f size="8">
						<inlineAttr underline="false">
							<c val="#00f">
								<sup>4 </sup>
							</c>
						</inlineAttr>
					</f>
					<c val="#00f">
						<f size="8">
							<inlineAttr underline="false">(Strip) 35449.832</inlineAttr>
						</f>
					</c>
					<c val="#00f">
						<f size="8"> in</f>
					</c>
					<sup>
						<c val="#00f">
							<f size="8">4 </f>
						</c>
					</sup>
					<f size="8">
						<c val="#00f">(Edge)</c>
					</f>
					<sup>
						<inlineAttr underline="false">
							<f size="8">
								<tab/>
								<tab/>
							</f>
						</inlineAttr>
					</sup>
					<f size="8">Components (DC):<sp count="2"/>1.00</f>
				</p>
				<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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						<sup>
							<inlineAttr underline="false">
								<tab/>
								<tab/>
								<tab/>
								<tab/>
							</inlineAttr>
						</sup>
					</f>
					<c val="#00f">
						<inlineAttr underline="false">
							<f size="8">Mod.E = 3640 ksi</f>
						</inlineAttr>
					</c>
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">Wearing Surface:<sp count="2"/>1.00</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
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							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<c val="#00f">
						<f size="8">
							<inlineAttr underline="false">Unit Wgt = 150 pcf</inlineAttr>
						</f>
					</c>
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">Live Load (LL &amp; PL): 1.30</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>
							<tab/>Live Load Distribution Factors:<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">Service III:</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
							<tab/>
							<tab/>
							<tab/>Str/Serv Limit State Moment = 1.000<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">Components (DC):<sp count="2"/>1.00</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>
							<tab/>
							<tab/>Str/Serv Limit State Shear = 1.000<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">Wearing Surface:<sp count="2"/>1.00</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>
							<tab/>
							<tab/>Fatigue Moment = 1.000<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">Live Load (LL &amp; PL): 0.80</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>
							<tab/>
							<tab/>Fatigue Shear = 1.000<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">Fatigue:</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
						</inlineAttr>
					</f>
					<u>
						<f size="8">Standard Dead Loads:<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</f>
					</u>
					<f size="8">Components (DC):<sp count="2"/>0.00</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
							<tab/>DC Loads:<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">Wearing Surface:<sp count="2"/>0.00</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>
							<tab/>Generate Self Weight Dead Load<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">Live Load (LL &amp; PL): 1.5</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">
						<inlineAttr underline="false">
							<c val="#00f">Traffic Barrier = 241 plf (Strip)<sp count="2"/>118 plf (Edge)</c>
						</inlineAttr>
					</f>
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">
						<u>Analysis Parameters:</u>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>DW Loads:<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">Minimum Number of Analysis Points = 10</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>
							<tab/>Utilities:<sp count="2"/>leave unchecked<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">
						<inlineAttr underline="false">
							<c val="#00f">Use 60 to give you points every 6"</c>
						</inlineAttr>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>
							<tab/>
						</inlineAttr>
					</f>
					<f size="8">
						<inlineAttr underline="false">
							<c val="#00f">Overlay = 151 plf (strip)<sp count="2"/>75 plf (edge)</c>
						</inlineAttr>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>Add an additional uniform load for the 1/4" sacrifical wearing surface</inlineAttr>
					</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">
						<c val="#00f">
							<inlineAttr underline="false">Uniform Load (0' - 30' for all spans) = 34 plf (strip) 17 plf (edge)</inlineAttr>
						</c>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
						</f>
					</inlineAttr>
					<f size="8">
						<u>Live Load Generation Parameters:</u>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
							<tab/>Design Tandem:<sp count="2"/>Enabled</f>
					</inlineAttr>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>Design Truck:<sp count="2"/>17 rear axle spacing increment</inlineAttr>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>Dual Truck Train:<sp count="2"/>Enabled</inlineAttr>
					</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false">
						<f size="8">
							<tab/>
							<tab/>
						</f>
					</inlineAttr>
					<inlineAttr underline="false">
						<f size="8">Dual Tandem Train:<sp count="2"/>Range 26.0' to 30.0' using 5 increments </f>
					</inlineAttr>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="8">
						<inlineAttr underline="false">
							<tab/>
							<tab/>Fatigue Truck:<sp count="2"/>Enabled</inlineAttr>
					</f>
				</p>
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						<inlineAttr underline="false">
							<tab/>
						</inlineAttr>
					</f>
				</p>
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					<ml:id xml:space="preserve" subscript="w">Slab</ml:id>
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							<ml:plus/>
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								<ml:real>1</ml:real>
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								<ml:real>6</ml:real>
								<ml:id xml:space="preserve">in</ml:id>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="barrier">Area</ml:id>
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						<ml:real>2.7157</ml:real>
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							<ml:pow/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:real>2</ml:real>
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					<b>
						<u>CONSTANTS:</u>
					</b>
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					<f size="8">Article 5.4.3.1</f>
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					<f size="8">Article 5.4.2.1</f>
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					<f size="8">Table 3.5.1-1</f>
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					<f size="8">Article 5.4.3.2</f>
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					<f size="8">Article 5.5.4.2.1:<sp count="2"/>0.9 for Strength Limit State - flexure of tension controlled reinforced concrete members; conventional construction</f>
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					<f size="8">Sacrificial wearing surface is 1/4" that is ground down for resurfacing &amp; will result in a 18.75" thick slab having a 1" bottom clearance and 2 1/4" top clearance.</f>
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					<ml:id xml:space="preserve" subscript="bot">cl</ml:id>
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							<ml:real>1</ml:real>
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					<f size="8">Table 5.12.3-1:<sp count="2"/>clear cover @ bottom</f>
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					<f size="8">Table 5.12.3-1:<sp count="2"/>clear cover @ top</f>
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					<ml:id xml:space="preserve">Bw</ml:id>
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						<ml:real>12</ml:real>
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					<f size="8">Convert to 1 ft width</f>
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					<f size="8">Exposure factor of 0.75 for all bridge decks susceptible to </f>
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					<f size="8">de-icing agent exposure per SCDOT BDM 15.1.7 page 15-5</f>
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					<f size="8">Eq. C5.4.2.4-1</f>
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					<f size="8">Multiple Presence Factor AASHTO 3.6.1.1.2-1</f>
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					<b>
						<u>Number of Lanes</u>
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						<inlineAttr font-weight="normal"> SCDOT BDM Article 13.3.2.6, Article 3.6.1.1.1</inlineAttr>
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					<ml:id xml:space="preserve">Lanes</ml:id>
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							<ml:id xml:space="preserve">floor</ml:id>
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								<ml:id xml:space="preserve">Roadway</ml:id>
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									<ml:real>12</ml:real>
									<ml:id xml:space="preserve">ft</ml:id>
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							<ml:real>2</ml:real>
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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">
					<f size="8">-------------- &gt; use</f>
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						<ml:id xml:space="preserve" subscript="L">N</ml:id>
						<ml:real>2</ml:real>
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			</math>
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					<b>
						<u>Slab Depth</u>
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							<sp count="2"/>Table 2.5.2.6.3-1:<sp count="2"/>Simple span; reinforced concrete.</inlineAttr>
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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">Span</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:minus/>
							<ml:id xml:space="preserve">Span</ml:id>
							<ml:apply>
								<ml:mult style="auto-select"/>
								<ml:apply>
									<ml:mult/>
									<ml:real>2</ml:real>
									<ml:real>6</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve">in</ml:id>
							</ml:apply>
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							<unitedValue>
								<ml:real>29</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="foot"/>
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						<c val="#f00">6 in is<sp count="2"/>the offset from the end of beam to the center line of bearing</c>
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					<ml:id xml:space="preserve" subscript="2">L</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:id xml:space="preserve">min</ml:id>
							<ml:sequence>
								<ml:id xml:space="preserve">Span</ml:id>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:real>60</ml:real>
									<ml:id xml:space="preserve">ft</ml:id>
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							<unitedValue>
								<ml:real>30</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="foot"/>
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					<ml:define>
						<ml:id xml:space="preserve" subscript="2">W</ml:id>
						<ml:eval placeholderMultiplicationStyle="default">
							<ml:apply>
								<ml:id xml:space="preserve">min</ml:id>
								<ml:sequence>
									<ml:id xml:space="preserve" subscript="w">Slab</ml:id>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real>30</ml:real>
										<ml:id xml:space="preserve">ft</ml:id>
									</ml:apply>
								</ml:sequence>
							</ml:apply>
							<result xmlns="http://schemas.mathsoft.com/math30">
								<unitedValue>
									<ml:real>30</ml:real>
									<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
										<unitReference unit="foot"/>
									</unitMonomial>
								</unitedValue>
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						</ml:eval>
					</ml:define>
				</ml:provenance>
			</math>
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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="min">H</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:mult style="auto-select"/>
								<ml:real>1.2</ml:real>
								<ml:parens>
									<ml:apply>
										<ml:plus/>
										<ml:id xml:space="preserve" subscript="max">Span</ml:id>
										<ml:apply>
											<ml:mult style="auto-select"/>
											<ml:real>10</ml:real>
											<ml:id xml:space="preserve">ft</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:parens>
							</ml:apply>
							<ml:real>30</ml:real>
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						<ml:unitOverride>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:unitOverride>
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							<unitedValue>
								<ml:real>18.720000000000002</ml:real>
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									<unitReference unit="inch"/>
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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">
					<f size="8">-------------- &gt; use</f>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="slab">H</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:id xml:space="preserve">Ceil</ml:id>
							<ml:sequence>
								<ml:id xml:space="preserve" subscript="min">H</ml:id>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:real>1</ml:real>
									<ml:id xml:space="preserve">in</ml:id>
								</ml:apply>
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						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>19</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch"/>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
					<b>
						<u>Equivalent Live Load Strip Width</u>
					</b>
					<f size="8">
						<inlineAttr font-weight="normal" underline="false">
							<sp count="2"/>Article 4.6.2.3:<sp count="2"/>for bridges with more than one lane loaded; </inlineAttr>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
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							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>
							<tab/>per SCDOT BDM, use the E value for the<sp count="2"/>entire </inlineAttr>
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					<f size="8">
						<inlineAttr font-weight="normal" underline="false">length of </inlineAttr>
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						<inlineAttr font-weight="normal" underline="false">bridge</inlineAttr>
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							<ml:mult/>
							<ml:apply>
								<ml:id xml:space="preserve">min</ml:id>
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									<ml:apply>
										<ml:plus/>
										<ml:real>84</ml:real>
										<ml:apply>
											<ml:mult/>
											<ml:real>1.44</ml:real>
											<ml:apply>
												<ml:sqrt/>
												<ml:apply>
													<ml:div/>
													<ml:apply>
														<ml:mult/>
														<ml:id xml:space="preserve">Span</ml:id>
														<ml:id xml:space="preserve" subscript="w">Slab</ml:id>
													</ml:apply>
													<ml:apply>
														<ml:pow/>
														<ml:id xml:space="preserve">ft</ml:id>
														<ml:real>2</ml:real>
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												</ml:apply>
											</ml:apply>
										</ml:apply>
									</ml:apply>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:mult/>
												<ml:real>12</ml:real>
												<ml:id xml:space="preserve" subscript="w">Slab</ml:id>
											</ml:apply>
											<ml:id xml:space="preserve">ft</ml:id>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="L">N</ml:id>
									</ml:apply>
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							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
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							<unitedValue>
								<ml:real>11.011483516107226</ml:real>
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					<ml:define>
						<ml:id xml:space="preserve" subscript="one_lane">E</ml:id>
						<ml:eval placeholderMultiplicationStyle="default">
							<ml:apply>
								<ml:mult/>
								<ml:parens>
									<ml:apply>
										<ml:plus/>
										<ml:real>10</ml:real>
										<ml:apply>
											<ml:mult/>
											<ml:real>5</ml:real>
											<ml:apply>
												<ml:sqrt/>
												<ml:apply>
													<ml:div/>
													<ml:apply>
														<ml:mult/>
														<ml:id xml:space="preserve" subscript="2">L</ml:id>
														<ml:id xml:space="preserve" subscript="2">W</ml:id>
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													<ml:apply>
														<ml:pow/>
														<ml:id xml:space="preserve">ft</ml:id>
														<ml:real>2</ml:real>
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												</ml:apply>
											</ml:apply>
										</ml:apply>
									</ml:apply>
								</ml:parens>
								<ml:id xml:space="preserve">in</ml:id>
							</ml:apply>
							<ml:unitOverride>
								<ml:id xml:space="preserve">ft</ml:id>
							</ml:unitOverride>
							<result xmlns="http://schemas.mathsoft.com/math30">
								<unitedValue>
									<ml:real>13.33333333333333</ml:real>
									<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
										<unitReference unit="foot"/>
									</unitMonomial>
								</unitedValue>
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				<element-image-map>
					<box left="1.5" top="0.75" width="179.25" height="38.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
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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">
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						<u>Equivalent Strip Width at Edge of Slab </u>
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					<f size="8">
						<inlineAttr font-weight="normal" underline="false">
							<sp count="2"/>Article 4.6.2.1.4b</inlineAttr>
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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 size="8">
						<c val="#f00">For fatigue only because it considers only one truck in one disign lane</c>
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			</text>
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		<region region-id="39513" left="6" top="459" width="294" height="16.5" align-x="93.75" align-y="468" 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="edge_beam.one_lane">W</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:plus/>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:id xml:space="preserve" subscript="w">Barrier</ml:id>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real>1.5</ml:real>
										<ml:id xml:space="preserve">in</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:real>12</ml:real>
									<ml:id xml:space="preserve">in</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:real>0.25</ml:real>
								<ml:provenance expr-id="1">
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										<hash/>
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									<contentHash xmlns="http://schemas.mathsoft.com/provenance10">48a17e3e238abeb22610627ac81e2130</contentHash>
									<ml:id xml:space="preserve" subscript="one_lane">E</ml:id>
								</ml:provenance>
							</ml:apply>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>5.9583333333333321</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="foot"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="27">
				<element-image-map>
					<box left="212.25" top="0.75" width="36" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
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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="0" text-align="inherit" list-style-type="none" tabs="inherit">
					<f size="8">
						<c val="#f00">Note:<sp count="2"/>1.5 in is the distance between the back edge of the barrier and the edge of the slab (the lip); use E</c>
					</f>
					<f size="8">
						<c val="#f00">
							<sub>one_lane</sub>
						</c>
					</f>
					<f size="8">
						<c val="#f00"> because there is only 1 lane on the edge.</c>
					</f>
				</p>
			</text>
		</region>
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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="edge_beam">W</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:plus/>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:id xml:space="preserve" subscript="w">Barrier</ml:id>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real>1.5</ml:real>
										<ml:id xml:space="preserve">in</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:real>12</ml:real>
									<ml:id xml:space="preserve">in</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:real>0.25</ml:real>
								<ml:id xml:space="preserve" subscript="strip">E</ml:id>
							</ml:apply>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>5.3778708790268057</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="foot"/>
								</unitMonomial>
							</unitedValue>
						</result>
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			<rendering item-idref="28"/>
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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">
					<b>
						<u>Loads:</u>
					</b>
					<inlineAttr font-weight="normal" underline="false">
						<sp count="2"/>
					</inlineAttr>
					<f size="8">
						<inlineAttr font-weight="normal" underline="false">Barrier: 2 @ 0.410 klf &amp; FWS:<sp count="2"/>0.015 ksf</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="40325" left="750" top="484.5" width="294.75" height="9.75" align-x="750" align-y="492" 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="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
					<f size="8">per SCDOT BDM Article 15.4.7:<sp count="2"/>distribute the barrier across</f>
					<f size="8">the width of the bridge</f>
				</p>
			</text>
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		<region region-id="40278" left="6" top="507" width="216" height="16.5" align-x="33.75" align-y="516" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30">
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					<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
					<contentHash xmlns="http://schemas.mathsoft.com/provenance10">e6900364a585367fb7022caf770b9a6b</contentHash>
					<ml:define>
						<ml:id xml:space="preserve" subscript="edge">E</ml:id>
						<ml:eval placeholderMultiplicationStyle="default">
							<ml:apply>
								<ml:id xml:space="preserve">min</ml:id>
								<ml:sequence>
									<ml:id xml:space="preserve" subscript="edge_beam">W</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>0.50</ml:real>
										<ml:id xml:space="preserve" subscript="strip">E</ml:id>
									</ml:apply>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real>72</ml:real>
										<ml:id xml:space="preserve">in</ml:id>
									</ml:apply>
								</ml:sequence>
							</ml:apply>
							<result xmlns="http://schemas.mathsoft.com/math30">
								<unitedValue>
									<ml:real>5.3778708790268057</ml:real>
									<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
										<unitReference unit="foot"/>
									</unitMonomial>
								</unitedValue>
							</result>
						</ml:eval>
					</ml:define>
				</ml:provenance>
			</math>
			<rendering item-idref="29">
				<element-image-map>
					<box left="1.5" top="0.75" width="214.5" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
				</element-image-map>
			</rendering>
		</region>
		<region region-id="40177" left="546" top="502.5" width="220.5" height="35.25" align-x="594.75" align-y="522" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ffff" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="strip">Barrier</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real font="0">2</ml:real>
										<ml:id xml:space="preserve" subscript="barrier">Area</ml:id>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="wt">concrete</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="w">Slab</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="strip">E</ml:id>
						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">klf</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.240836664037791</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="kips_per_linear_foot"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="30"/>
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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="edge">Barrier</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real font="0">2</ml:real>
										<ml:id xml:space="preserve" subscript="barrier">Area</ml:id>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="wt">concrete</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="w">Slab</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="edge">E</ml:id>
						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">klf</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.11762161567387726</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="kips_per_linear_foot"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="31"/>
		</region>
		<region region-id="40279" left="6" top="530.25" width="197.25" height="12" align-x="6" align-y="540" 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>
						<u>Area &amp; Moment of Inertia (gross section):</u>
					</b>
					<f size="8">
						<inlineAttr font-weight="normal" underline="false">
							<sp count="2"/>
						</inlineAttr>
					</f>
				</p>
			</text>
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		<region region-id="40280" left="216" top="526.5" width="198" height="37.5" align-x="252" align-y="552" show-border="false" show-highlight="true" 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="z_strip">I</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve" subscript="strip">E</ml:id>
								<ml:apply>
									<ml:pow/>
									<ml:parens>
										<ml:apply>
											<ml:minus/>
											<ml:id xml:space="preserve" subscript="slab">H</ml:id>
											<ml:id xml:space="preserve">SWS</ml:id>
										</ml:apply>
									</ml:parens>
									<ml:real>3</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:real>12</ml:real>
						</ml:apply>
						<ml:unitOverride>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>72585.462630589609</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch" power-numerator="4"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
				<resultFormat numeric-only="true">
					<general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="5"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="32"/>
		</region>
		<region region-id="40179" left="546" top="542.25" width="195.75" height="31.5" align-x="588" align-y="558" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ffff" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="strip">FWS</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:real>0.015</ml:real>
									<ml:id xml:space="preserve">ksf</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Roadway</ml:id>
									<ml:id xml:space="preserve" subscript="w">Slab</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="strip">E</ml:id>
						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">klf</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.15076125082455527</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="kips_per_linear_foot"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="33"/>
		</region>
		<region region-id="40180" left="816" top="542.25" width="192.75" height="31.5" align-x="856.5" align-y="558" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ffff" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="edge">FWS</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:real>0.015</ml:real>
									<ml:id xml:space="preserve">ksf</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Roadway</ml:id>
									<ml:id xml:space="preserve" subscript="w">Slab</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="edge">E</ml:id>
						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">klf</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.07362991002157504</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="kips_per_linear_foot"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
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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="strip">Area</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:parens>
								<ml:apply>
									<ml:minus/>
									<ml:id xml:space="preserve" subscript="slab">H</ml:id>
									<ml:id xml:space="preserve">SWS</ml:id>
								</ml:apply>
							</ml:parens>
							<ml:id xml:space="preserve" subscript="strip">E</ml:id>
						</ml:apply>
						<ml:unitOverride>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>2477.5837911241256</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch" power-numerator="2"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
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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="strip">SWS</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve" subscript="strip">E</ml:id>
								<ml:id xml:space="preserve">SWS</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="wt">concrete</ml:id>
						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">klf</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.034410885987835073</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="kips_per_linear_foot"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="36"/>
		</region>
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			<math optimize="false" disable-calc="false">
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