Consider a solid circular shaft A-D with varied diameter (dAB-0.6 in, dsc-0.75 in, and dcp=0.9
in). The shaft is fixed to a rigid wall at D and three external torques (TA-400 lb-in, Ta--1200 lb-
in, and T-500 lb-in) are applied to each gear at A, B, and D.
300 ih m
1200 lb iny
500th.
امر اخر
-0.6 in.
dsc-0.75 in.
dcp-0.9 in.
Figure 3. Circular shaft with external torques
a) Determine the segment of the shaft where the maximum shear stress occurs due to the
external torques and plot the shear stress distribution at the cross section where the
maximum shear stress occurs.
b) Reconsider the structure shown above after creating a 0.3in-diameter drill hole through the
entire length (from A to D) of the shaft. The diameters (dan, duc, and dcp) and external
torques (TA, TB, and Tc) remain the same. Determine the segment of the new hollow shaft
where the maximum shear stress occurs due to the external torques and plot the shear stress
distribution at the cross section where the maximum shear stress occurs.
Fig: 1