Notes 3 - Consistent Deformation Derivation

Notes 3 - Consistent Deformation Derivation - Consistent...

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3 Consistent Deformations Derivation Objectives: 1. Define consistent deformation variables 2. State consistent deformation procedure steps Consistent deformations is based on compatibility. Compatibility states that a structure can deform in any shape provided the displacements conform to the boundary conditions and the material restrictions (i.e. the material can not tear apart). Consistent deformations process: $ Remove all the redundant reactions and forces (i.e. add hinges) until it becomes determinate. $ Then apply forces at the removed redundants to put the structure back into a compatible displacement. Example, take the uniformly loaded propped cantilever beam. One redundant (or extra) support. 1. Remove the prop or end support we have a cantilever beam. 2. Apply a force at the point where the support was removed. 3. Need to calculate the force needed to push the tip back up to the support. The tip deflection under uniform load is:
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Notes 3 - Consistent Deformation Derivation - Consistent...

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