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Ch_4 - Axially Loaded members EMCH 213 Important Concepts...

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Axially Loaded members EMCH 213
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Important Concepts Saint-Venant’s Principle Deformation Due to Load: Superposition Statically Indeterminate Members Thermal Stress: Stress Concentrations:
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Saint-Venant’s Principle “Localized effects caused by any loading on the  body will dissipate or smooth out within regions  that are sufficiently removed from the load” Sufficiently removed is generally defined as a  distance, away from the loading, that is greater  or equal to the largest dimension of the loaded  cross section
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Deformation Due to Load Using hook’s law and definitions of stress and  strain (see class notes) we find that, for a bar  with constant cross sections and loading: For a series of bars with varying cross  sections of loads:  For a varying cross section or loading
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Superposition If loading is:
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