week2-3

week2-3 - Statically

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atically Indeterminate Problems Statically Indeterminate Problems The number of unknowns exceed the number f static equilibrium equations of static equilibrium equations. Reactions and internal forces cannot be determined by equilibrium equations alone. The problems are solved by additionally considering deformations and the deformed ometry geometry.

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rategy for Solving Strategy for Solving uilibrium Equations 1. Equilibrium Equations o FBD, F = 0, M = 0 cus on joints that connect members o Focus on joints that connect members 2. Force deformation relationships o e = FL/AE 3. Geometry of deformations o Determine how the deformations of the members are related to each other
rategy for Solving Strategy for Solving ompatibility equation 4. Compatibility equation o A new equation from combining the rce eformation and geometry force deformation and geometry 5. Solve the equations multaneous solving of compatibility o Simultaneous solving of compatibility and equilibrium equations

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pes oaxial or parallel Types Coaxial or parallel Coaxial Members with a gap Elongation of one member equals the elongation of the other member plus the gap distance 2 1 e gap e = +
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week2-3 - Statically

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