Civil and Environmental Engineering 2202A/B Study Guide - Final Guide: Statically Indeterminate, Shear Modulus, Angular Velocity

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Determine angle of twist when material behaves in a linear elastic manner. Torque is a moment that twists a member about it logitudinal axis. If the angle of rotation is small, the length of the shaft and its radius will remain unchanged. Recall that shear strain is = /2 - where = change in angle. Derived from shear strain, is the concept that. Substituting into dt = ( da ) J = polar moment of intertia c = outer radius. Final review page 1 c = outer radius. = inner radius c = outer radius. If the shaft has a solid circular cross section. J = polar moment of intertia c0 = outer radius ci = inner radius. Power is defined as the work performed per unit of time. = d / dt = angular velocity. For shaft design, we must consider the radius from the red starred equation when we supply it with this torque.