The figure is a schematic drawing of a countershaft that supports two v-belt pul
ID: 1859921 • Letter: T
Question
The figure is a schematic drawing of a countershaft that supports two v-belt pulleys. For each belt, the belt tension is parallel. Using a cold-drawn UNS G10200 steel shaft of uniform diameter is to be selected for this application. For a static analysis with a factor of safety of 2 determinethe minimum preferred size diameter. Use Distortion Energy and Maximus Shear Stress theory of Failure.
a. Calculate the reactions. (show procedure)
b. Draw the diagrams of shear, moment and torsion
c. Draw the state of stress at the critical location.
d. Calculate th principal stresses by the formula and Mohr's Circle
e. Draw the state of principal stress and maximum shear stress properly oriented
f. Determine the diameter for the Distortion Energy and Maximus Shear Stress theory of failure
g. Draw the failure locus with the load line for both methods.
Explanation / Answer
the force at point A is
F = F1 x cosA - F2
where F1 = 150 N,F2 = 50 N and A = tan^-1(150/250)
the force at point B is
F' = F1 x cosA - F2
where F1 = 250 N,F2 = 100 N and A = tan^-1(100/250)
the net force acting on the rod is
F_net = (F^2 + F'^2)^1/2