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Engineering and Tech / Mechanics of Materials 10 / Chapter 5 / Problem 5-3

Mechanics of Materials | 10th Edition | ISBN: 9780134319650 | Authors: Russell C. Hibbeler

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A shaft is made of an aluminum alloy having an allowable

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QUESTION:

A shaft is made of an aluminum alloy having an allowable shear stress of \(\tau_{\text {allow }}=100 \mathrm{MPa}\). If the diameter of the shaft is 100 mm, determine the maximum torque T that can be transmitted.What would be the maximum torque T’ if a 75-mm-diameter hole were bored through the shaft? Sketch the shear-stress distribution along a radial line in each case.

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QUESTION:

A shaft is made of an aluminum alloy having an allowable shear stress of \(\tau_{\text {allow }}=100 \mathrm{MPa}\). If the diameter of the shaft is 100 mm, determine the maximum torque T that can be transmitted.What would be the maximum torque T’ if a 75-mm-diameter hole were bored through the shaft? Sketch the shear-stress distribution along a radial line in each case.

ANSWER:

Step 1 of 6

The torsion formulas we will use are equation 5-6 which states :

We transform this into :

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