ME471FailureTheories

ME471FailureTheories - STATIC FAILURE THEORIES biaxial...

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STATIC FAILURE THEORIES biaxial stress state, σ 3 =0 Label σ 1 as the larger of the principal stresses i.e., σ 1 > σ 2 SF = Safety Factor MAXIMUM NORMAL STRESS (use for brittle materials) Failure will occur if the largest normal stress exceeds the ultimate strength 1 UT SF S σ and 2 UC SF S ≥− MAXIMUM SHEAR STRESS (use for ductile materials) Failure will occur if maximum shear stress exceeds S Y / 2 12 13 23 || | max , , 222 MAX σσ τ −−− ⎧⎫ = ⎨⎬ ⎩⎭ | 2 Y MAX S SF MAXIMUM DISTORSION ENERGY (Von Mises) (use for ductile materials) Failure will occur if strain energy per unit volume exceeds strain energy per unit volume of test specimen at yield Failure will occur if equivalent stress E exceeds S Y ( ) 1/2 22 121
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This note was uploaded on 07/25/2008 for the course ME 471 taught by Professor Diaz during the Spring '06 term at Michigan State University.

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