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Problem 3

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