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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">
					<b>NOTES TO CALCULATE THICKNESS OF OPTICAL WINDOWS</b>
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					<b>06/15/20</b>
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					<f family="TTE1B308C0t00" charset="0">Design of Pressure Windows - Crystran</f>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">xxxxxxxx</p>
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					<b>REQUIRED:<sp count="5"/>
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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">Find the reqauired thickness of an optical window for a given Diameter and Pressure.<sp count="24"/>
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					<b>ASSUMED:</b>
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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">Circular Window.</p>
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			<text use-page-width="false" push-down="false" lock-width="true">
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					<b>GIVEN:<sp count="2"/>
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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">Window Diameter &amp; ambient pressure:P<sp count="31"/>
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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">Diameter of Window<sp count="2"/>(D):<sp count="4"/>
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						<ml:real>120.65</ml:real>
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							<ml:real>25.4</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">Ambient Pressure (P):<sp count="5"/>
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					<ml:id xml:space="preserve">P</ml:id>
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						<ml:real>450.0</ml:real>
						<ml:id xml:space="preserve">psi</ml:id>
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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">Apparent Elastic Limit (Mat'l dependent) (F.a):</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(BK-7 glass = 9210psi) (Sapphire = 45000.psi)<sp count="2"/>
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						<ml:real>9210</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">Clamping Constant<sp count="2"/>(K.c=0.75, K.u=1.125<sp count="8"/>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="u">K</ml:id>
					<ml:real>1.125</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">Assumed Safety Factor<sp count="2"/>(SF):<sp count="7"/>
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					<ml:id xml:space="preserve">SF</ml:id>
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					<b>SOLUTION:</b>
					<sp count="10"/>
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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">Window Thickness (T) :<sp count="7"/>
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							<ml:id xml:space="preserve">T</ml:id>
							<ml:real>25.4</ml:real>
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						<ml:real>45000</ml:real>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="i">SF</ml:id>
					<ml:real>4</ml:real>
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									<ml:apply>
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						<ml:apply>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Materials<sp count="20"/>E<sp count="2"/>(psi)<sp count="15"/>
					<f family="Symbol" charset="2">n</f>
					<sp count="24"/>
					<f family="Symbol" charset="2">r</f>
					<sp count="2"/>(lb/in^3)<sp count="26"/>S<f size="8">
						<sub>y</sub>
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					<sp count="19"/>G<f size="5">
						<sub> (psi)<sp count="8"/>
						</sub>
					</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sub>6061-T6<sp count="20"/>10.0E6<sp count="14"/>.300<sp count="25"/>.0980<sp count="27"/>35 kpsi</sub>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sub>7075-76<sp count="20"/>10.5E6<sp count="14"/>.3300<sp count="23"/>.1010<sp count="27"/>67 kpsi</sub>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sub>Titanium (pure)<sp count="9"/>15.5E6<sp count="14"/>.3400<sp count="23"/>.1630<sp count="27"/>55 kpsi</sub>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sub>Titanium 6AL-4V<sp count="5"/>17.0E6<sp count="14"/>.3250<sp count="23"/>.1610<sp count="27"/>120kpsi</sub>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sub>S.S. 17-4 ph<sp count="14"/>28.5E6<sp count="13"/>.3000<sp count="24"/>.2800<sp count="26"/>178kpsi</sub>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sub>S.S. 316<sp count="20"/>27.6E6<sp count="14"/>.305<sp count="25"/>.280<sp count="28"/>30 kpsi<sp count="12"/>10.6E6<sp count="21"/>
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		<region region-id="111" left="126" top="936.75" width="176.25" height="14.25" align-x="126" align-y="948" 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">Convert deg Rankine to deg Fahienheit</p>
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					<ml:id xml:space="preserve">F</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>-459.69</ml:real>
						<ml:id xml:space="preserve">R</ml:id>
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			<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">Convert deg Kelvin<sp count="2"/>to deg Celcius </p>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">C</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>-273.16</ml:real>
						<ml:id xml:space="preserve">K</ml:id>
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			<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">Convert depth Meters to bar</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">Z</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.1006649</ml:real>
						<ml:id xml:space="preserve">bar</ml:id>
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			<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">Convert depth Meters to psig</p>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Z</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1.460016</ml:real>
						<ml:id xml:space="preserve">psi</ml:id>
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