The wrong size bolts were used to connect the flanges in Problem 5.8, and when the torque is applied to flange B it rotates by 2 degrees (twisting shaft AB) before engaging flange C. Once flange C is engaged both B and C rotate together, twisting both shafts. What is the maximum shearing stress that occurs in a shaft?
Problem 5.8:
Two structural steel shafts with flanges forged on their ends are rigidly connected with a circle of bolts. The shafts are meant to rotate in their supports at A and D, however a 100 N · m torque is applied to flange B while the shafts are locked and prevented from rotating at A and D. Shaft AB has diameter 20 mm and shaft C D has diameter 30 mm. What is the maximum shearing stress that occurs in a shaft?
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