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PROBLEM 1 The rotating steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) that meshes with the spur gear at D, which has a 200 mm pitch diameter. The force F from the drive gear acts at a pressure angle of $20^\circ$. The shaft transmits a torque to point A of $T_A = 400$ Nm. The shaft is machined from steel with yield strength $S_y = 425$ MPa and ultimate strength $S_{ut} = 550$ MPa. Assume a well-rounded fillet radius for the shoulder the bearing sits on (the fillet radius-to-diameter ratio, $r/d$, is equal to 0.10.) Using a safety factor of 2.0, determine the minimum allowable diameter for the shaft by applying a fatigue-failure Goodman distortion energy approach (DE-Goodman.)

Name: problem 1 the rotating steel shaft is simply supported by bearings at points b and c and is driven by a gear not shown that meshes with the spur gear at d which has a 200 mm pitch diameter t 45157
Uploaded: 2025-03-27T22:32:17-08:00
Duration: 3 min 6 s
Channel: Roee Shalom
Description: problem 1 the rotating steel shaft is simply supported by bearings at points b and c and is driven by a gear not shown that meshes with the spur gear at d which has a 200 mm pitch diameter t 45157

          PROBLEM 1
The rotating steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) that meshes with the spur gear at D, which has a 200 mm pitch diameter.
The force F from the drive gear acts at a pressure angle of $20^\circ$. The shaft transmits a torque to point A of $T_A = 400$ Nm.
The shaft is machined from steel with yield strength $S_y = 425$ MPa and ultimate strength $S_{ut} = 550$ MPa. Assume a well-rounded fillet radius for the shoulder the bearing sits on (the fillet radius-to-diameter ratio, $r/d$, is equal to 0.10.)
Using a safety factor of 2.0, determine the minimum allowable diameter for the shaft by applying a fatigue-failure Goodman distortion energy approach (DE-Goodman.)

problem 1 the rotating steel shaft is simply supported by bearings at points b and c and is driven by a gear not shown that meshes with the spur gear at d which has a 200 mm pitch diameter t 45157

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