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T05.2 Mohr's Circle

T05.2 Mohr's Circle - Mohrs Circle T05.2 Does this bar have...

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Mohr’s Circle T05.2
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Does this bar have shear stresses in it?
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Does this bar have shear stresses in it?
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Does this bar have shear stresses in it?
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Does this bar have shear stresses in it?
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Can’t always do what we just did …nor do you generally want to!
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More Generally… xx yy xy 2 2 2 2 ' ' 2 2 ' ' 2 2 2 xx yy xx yy xx xy xy xx avg xy R where 2 2 : 2 : 2 xx yy avg xx yy xy R xy xx yy ' xx ' xy A
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Mohr’s Circle ' xy ' xx ( ,0) avg R
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Mohr’s Circle “How To” xy xx yy ' xx ' xy A
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Back to “Does this bar have shear stresses in it?” P P 12 ksi 9 ksi 3 ksi 5.2 ksi P 30°
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How is Mohr’s Circle Useful? Evaluate max (and min ) & max @ a point Failure surfaces Ductile materials maximum Aluminum, steel, titanium,… Brittle materials maximum tensile Cast iron, concrete, chalk,… Foam materials maximum compressive Very thin materials
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