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Home » Strength of Materials » Chapter 3 - Torsion » Torsion

Solution to Problem 311 Torsion

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Problem 311
An aluminum shaft with a constant diameter of 50 mm is loaded by torques applied to gears attached to it as shown in Fig. P-311. Using G = 28 GPa, determine the relative angle of twist of gear D relative to gear A.

Three segments aluminum shaft

Solution 311

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$\theta = \dfrac{TL}{JG}$

Free Body Diagram

Rotation of D relative to A:
$\theta_{D/A} = \dfrac{1}{JG} \Sigma TL$

$\theta_{D/A} = \dfrac{1}{\frac{1}{32}\pi (50^4)(28\,000)} \, [ \, 800(2) - 300(3) + 600(2) \, ] \, (1000^2)$

$\theta_{D/A} = 0.1106 \, \text{rad}$

$\theta_{D/A} = 6.34^\circ$ answer

‹ Solution to Problem 310 Torsion up Solution to Problem 312 Torsion ›

Submitted by Romel Verterra on January 2, 2009 - 5:11pm

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Strength of Materials

Chapter 1 - Simple Stresses
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