Question

A horizontal shaft of 75 mm diameter projects from a bearing, and in addition to the torque transmitted, the shaft carries a vertical load of 8 kN at 300 mm from the bearing. If the safe stress for the material, as determined in a simple tension test, is 135 MN/m^2, find the safe torque to which the shaft may be subjected using as the criterion (a) the maximum shearing stress, (b) the maximum strain energy per unit volume. Poisson's ratio v = 0.29. [Ans: 5.05, 8.3 kN.m]

Name: a horizontal shaft of 75 mm diameter projects from a bearing and in addition to the torque transmitted the shaft carries a vertical load of 8 kn at 300 mm from the bearing if the safe stress 42927
Uploaded: 2023-01-06T02:53:08-08:00
Duration: 5 min 25 s
Channel: Dominador Tan
Description: a horizontal shaft of 75 mm diameter projects from a bearing and in addition to the torque transmitted the shaft carries a vertical load of 8 kn at 300 mm from the bearing if the safe stress 42927

          A horizontal shaft of 75 mm diameter projects from a bearing, and in addition to the torque transmitted, the shaft carries a vertical load of 8 kN at 300 mm from the bearing. If the safe stress for the material, as determined in a simple tension test, is 135 MN/m^2, find the safe torque to which the shaft may be subjected using as the criterion (a) the maximum shearing stress, (b) the maximum strain energy per unit volume. Poisson's ratio v = 0.29. [Ans: 5.05, 8.3 kN.m]

Added by James C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Dominador Tan

01/06/2023

Step 1

The diameter of the shaft is \( d = 75 \, \text{mm} = 0.075 \, \text{m} \). The cross-sectional area \( A \) is given by: \[ A = \frac{\pi d^2}{4} = \frac{\pi (0.075)^2}{4} = 4.42 \times 10^{-3} \, \text{m}^2 \] The polar moment of inertia \( J \) is given Show more…

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A horizontal shaft of 75 mm diameter projects from a bearing, and in addition to the torque transmitted, the shaft carries a vertical load of 8 kN at 300 mm from the bearing. If the safe stress for the material, as determined in a simple tension test, is 135 MN/m^2, find the safe torque to which the shaft may be subjected using as the criterion (a) the maximum shearing stress, (b) the maximum strain energy per unit volume. Poisson's ratio v = 0.29. [Ans: 5.05, 8.3 kN.m]