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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">AlYield</ml:id>
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						<ml:mult style="auto-select"/>
						<ml:real>40</ml:real>
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					<ml:id xml:space="preserve" subscript="Al">E</ml:id>
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						<ml:mult style="auto-select"/>
						<ml:real>10000</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">
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						<i>Eight Bolt Parameters</i>
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					<ml:id xml:space="preserve">bolt2Dia</ml:id>
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						<ml:real>1</ml:real>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">bolt2Num</ml:id>
					<ml:real>8</ml:real>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">bolt2Yield</ml:id>
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						<ml:mult style="auto-select"/>
						<ml:real>170</ml:real>
						<ml:id xml:space="preserve">ksi</ml:id>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">bolt2E</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>30000000</ml:real>
						<ml:id xml:space="preserve">psi</ml:id>
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					<ml:id xml:space="preserve">bolt2TensArea</ml:id>
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							<ml:mult/>
							<ml:id xml:space="preserve">π</ml:id>
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								<ml:pow/>
								<ml:parens>
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										<ml:div/>
										<ml:id xml:space="preserve">bolt2Dia</ml:id>
										<ml:real>2</ml:real>
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								<ml:real>2</ml:real>
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								<ml:real>0.78539816339744828</ml:real>
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									<unitReference unit="inch" power-numerator="2"/>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">bolt2Len</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>11</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
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			<rendering item-idref="15"/>
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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="14">
						<b>Bolt Calculations</b>
					</f>
				</p>
			</text>
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							<ml:div/>
							<ml:id xml:space="preserve">lidLoad</ml:id>
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								<ml:mult/>
								<ml:id xml:space="preserve">bolt2TensArea</ml:id>
								<ml:id xml:space="preserve">bolt2Num</ml:id>
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								<ml:real>13545.0375</ml:real>
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									<unitReference unit="pounds_per_sq_inch"/>
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					<ml:id xml:space="preserve" subscript="bolt">FS</ml:id>
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							<ml:div/>
							<ml:id xml:space="preserve">bolt2Yield</ml:id>
							<ml:id xml:space="preserve">bolt2Stress</ml:id>
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							<ml:real>12.550721989510919</ml:real>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">bolt2Elongation</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
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							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">lidLoad</ml:id>
								<ml:id xml:space="preserve">bolt2Len</ml:id>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:id xml:space="preserve">bolt2Num</ml:id>
									<ml:id xml:space="preserve">bolt2TensArea</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve">bolt2E</ml:id>
							</ml:apply>
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							<unitedValue>
								<ml:real>0.0049665137499999993</ml:real>
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									<unitReference unit="inch"/>
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			<rendering item-idref="18"/>
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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">
					<f size="14">
						<b>Flexure Calculations</b>
					</f>
				</p>
			</text>
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					<ml:id xml:space="preserve" subscript="bar">I</ml:id>
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							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<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:pow/>
									<ml:parens>
										<ml:apply>
											<ml:mult style="auto-select"/>
											<ml:real>4.5</ml:real>
											<ml:id xml:space="preserve">in</ml:id>
										</ml:apply>
									</ml:parens>
									<ml:real>3</ml:real>
								</ml:apply>
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							<ml:real>12</ml:real>
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							<unitedValue>
								<ml:real>11.390625000000002</ml:real>
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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="bar">P</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lidLoad</ml:id>
							<ml:real>4</ml:real>
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							<unitedValue>
								<ml:real>21276.495151299128</ml:real>
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									<unitReference unit="pound_force"/>
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			<math optimize="false" disable-calc="false">
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					<ml:id xml:space="preserve" subscript="bar">L</ml:id>
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						<ml:real>7</ml:real>
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					<ml:id xml:space="preserve" subscript="max">V</ml:id>
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							<ml:div/>
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							<ml:real>2</ml:real>
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								<ml:real>10638.247575649564</ml:real>
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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">M</ml:id>
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							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve" subscript="max">V</ml:id>
								<ml:parens>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve" subscript="bar">L</ml:id>
										<ml:real>2</ml:real>
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							<ml:real>2</ml:real>
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							<unitedValue>
								<ml:real>7187785.3751398269</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch" power-numerator="2"/>
									<unitReference unit="pound"/>
									<unitReference unit="second" power-numerator="-2"/>
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		<region region-id="119" left="66" top="427.5" width="255.75" height="50.25" align-x="75.75" align-y="462" 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">t</ml:id>
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							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:parens>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:mult/>
											<ml:apply>
												<ml:mult/>
												<ml:real>2</ml:real>
												<ml:id xml:space="preserve" subscript="max">M</ml:id>
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											<ml:apply>
												<ml:div/>
												<ml:id xml:space="preserve" subscript="bar">L</ml:id>
												<ml:real>2</ml:real>
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										</ml:apply>
										<ml:real>3</ml:real>
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								</ml:parens>
								<ml:apply>
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										<ml:mult style="auto-select"/>
										<ml:real>5</ml:real>
										<ml:id xml:space="preserve" subscript="bar">L</ml:id>
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									<ml:real>8</ml:real>
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							<ml:apply>
								<ml:div/>
								<ml:real>1</ml:real>
								<ml:parens>
									<ml:apply>
										<ml:mult/>
										<ml:id xml:space="preserve">bolt2E</ml:id>
										<ml:id xml:space="preserve" subscript="bar">I</ml:id>
									</ml:apply>
								</ml:parens>
							</ml:apply>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.00055615286060780363</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="24"/>
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		<region region-id="150" left="288" top="483" width="89.25" height="16.5" align-x="320.25" align-y="492" 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="steel">E</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real font="0">26106786</ml:real>
						<ml:id xml:space="preserve">psi</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="25"/>
		</region>
		<region region-id="146" left="60" top="476.25" width="131.25" height="33.75" align-x="98.25" align-y="498" 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="bottom">I</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<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:pow/>
									<ml:parens>
										<ml:apply>
											<ml:mult style="auto-select"/>
											<ml:real>4</ml:real>
											<ml:id xml:space="preserve">in</ml:id>
										</ml:apply>
									</ml:parens>
									<ml:real>3</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:real>12</ml:real>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>8</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch" power-numerator="4"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="26"/>
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		<region region-id="151" left="48" top="517.5" width="271.5" height="50.25" align-x="86.25" align-y="552" 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="bottom">t</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:apply>
										<ml:mult/>
										<ml:apply>
											<ml:mult/>
											<ml:real>2</ml:real>
											<ml:id xml:space="preserve" subscript="max">M</ml:id>
										</ml:apply>
										<ml:apply>
											<ml:div/>
											<ml:id xml:space="preserve" subscript="bar">L</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
									</ml:apply>
									<ml:real>3</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real>5</ml:real>
										<ml:id xml:space="preserve" subscript="bar">L</ml:id>
									</ml:apply>
									<ml:real>8</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:div/>
								<ml:real>1</ml:real>
								<ml:apply>
									<ml:mult/>
									<ml:id xml:space="preserve" subscript="Al">E</ml:id>
									<ml:id xml:space="preserve" subscript="bottom">I</ml:id>
								</ml:apply>
							</ml:apply>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.0023755982541977866</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="27"/>
		</region>
		<region region-id="153" left="192" top="585" width="203.25" height="22.5" align-x="320.25" align-y="600" 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:plus/>
						<ml:apply>
							<ml:plus/>
							<ml:id xml:space="preserve">t</ml:id>
							<ml:id xml:space="preserve" subscript="bottom">t</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">bolt2Elongation</ml:id>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.0078982648648055886</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="28"/>
		</region>
		<region region-id="154" left="60" top="596.25" width="119.25" height="12" align-x="70.5" align-y="606" 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">
					<b>Total Vertical Deflection:</b>
					<sp/>
				</p>
			</text>
		</region>
		<region region-id="132" left="36" top="659.25" width="87" height="15.75" align-x="49.5" align-y="672" 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 size="14">
						<b>Added Plates</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="133" left="72" top="681" width="84.75" height="12.75" align-x="125.25" align-y="690" 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">plateWidth</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>1.25</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="29"/>
		</region>
		<region region-id="134" left="180" top="681" width="90" height="12.75" align-x="234" align-y="690" 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">plateHeight</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>12.25</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="30"/>
		</region>
		<region region-id="135" left="294" top="681" width="66.75" height="12.75" align-x="336" align-y="690" 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">plateLen</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>14</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="31"/>
		</region>
		<region region-id="136" left="72" top="699" width="201" height="18.75" align-x="132" align-y="714" 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">plateTensSA</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">plateWidth</ml:id>
								<ml:id xml:space="preserve">plateLen</ml:id>
							</ml:apply>
							<ml:real>4</ml:real>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>70</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch" power-numerator="2"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="32"/>
		</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">AvgNormStress</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lidLoad</ml:id>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:mult/>
									<ml:id xml:space="preserve">bolt2TensArea</ml:id>
									<ml:id xml:space="preserve">bolt2Num</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve">plateTensSA</ml:id>
							</ml:apply>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>1115.6584542516021</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="pounds_per_sq_inch"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="33"/>
		</region>
		<region region-id="138" left="78" top="747" width="249" height="18.75" align-x="126" align-y="762" 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">plateLoad</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">AvgNormStress</ml:id>
							<ml:id xml:space="preserve">plateTensSA</ml:id>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>78096.091797612142</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="pound_force"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="34"/>
		</region>
		<region region-id="139" left="78" top="777" width="90.75" height="12.75" align-x="141.75" align-y="786" 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">plateBoltDiam</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>0.5</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="35"/>
		</region>
		<region region-id="140" left="312" top="777" width="79.5" height="12.75" align-x="374.25" align-y="786" 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">plateBoltNum</ml:id>
					<ml:real>32</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="36"/>
		</region>
		<region region-id="141" left="78" top="788.25" width="199.5" height="33.75" align-x="134.25" align-y="810" 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">plateBoltSA</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:id xml:space="preserve">π</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:parens>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">plateBoltDiam</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:parens>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.19634954084936207</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch" power-numerator="2"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="37"/>
		</region>
		<region region-id="142" left="78" top="830.25" width="263.25" height="27.75" align-x="144.75" align-y="846" 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">plateBoltShear</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">plateLoad</ml:id>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">plateBoltSA</ml:id>
								<ml:id xml:space="preserve">plateBoltNum</ml:id>
							</ml:apply>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>12429.379045748396</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="pounds_per_sq_inch"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="38"/>
		</region>
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