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(Solved): The torsional coupling in the figure is composed of a curved beam of square cross section that is w ...
The torsional coupling in the figure is composed of a curved beam of square cross section that is welded to an input shaft and an output plate. A torque is applied to the shaft and cycles from zero to
T. The cross section of the beam has dimensions of
(3)/(16)\times (3)/(16)in, and the centroidal axis of the beam describes a curve of the form
r=0.75+0.4375(\theta )/(\pi ), where
rand
\theta are in inches and radians, respectively
(0<=\theta <=4\pi ). The curved beam has a machined surface with yield and ultimate strength values of 60 and 110 kpsi , respectively. Ignore curvature effects on the bending stress. The factor of safety is 3 .
