Stress Concentration Factors and Combined Loading

Stress Concentration Factors and Combined Loading - Stress...

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Stress Concentration Factors and Combined Loading COMBINING STRESSES WHEN SUBJECTED TO MULTIPLE LOADS First, we note the following: 1. Suppose a stress component, σ xx 1 , is calculated at a point P due to a loading, Q 1 . Then suppose we remove Q 1 and then apply another loading, Q 2 , that results in a stress component, σ xx 2 , at point P. Now, suppose we apply both Q 1 and Q 2 simultaneously. Then, the stress component σ xx 1+2 = σ xx 1 + σ xx 2 That is, the principle of superposition is assumed to be valid for combining stress components of the same type to due multiple loadings being applied simultaneously. In general, then, we have the following equalities for individual stress components when we apply both Q 1 and Q 2 simultaneously. σ xx 1+2 = σ xx 1 + σ xx 2 σ yy 1+2 = σ yy 1 + σ yy 2 σ zz 1+2 = σ zz 1 + σ zz 2 σ xy 1+2 = σ xy 1 + σ xy 2 σ yz 1+2 = σ yz 1 + σ yz 2 σ zx 1+2 = σ zx 1 + σ zx 2 2. Stress concentration factors, which are solely a function of geometry and loading type, can
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This note was uploaded on 12/12/2011 for the course EMCH 260 at USC.

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Stress Concentration Factors and Combined Loading - Stress...

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