Bending of Beams The stress in beam due to a bending moment can be derived with three principals: geometry, Hooke's Law, and equilibrium. Geometry: Hooke's Law: Equilibrium:   Assumptions: Beam is initially straight and unstressed Beam material is homogeneous and isotropic Material preperties are the same in tension and compression Plane cross sections remain plane after bending Therefore: Second Moment of Area of Common Shapes: Rectangular cross-section Circular cross-section

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