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03-01ChapGere.0008

# 03-01ChapGere.0008 - 188 A-PDF Torsion CHAPTER 3 Split DEMO...

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Problem 3.3-7 A circular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure). The bar is 20 in. long, and the inside and outside diameters are 1.2 in. and 1.6 in., respectively. It is determined by measurement that the angle of twist is 3.63° when the torque is 5800 lb-in. Calculate the maximum shear stress t max in the tube, the shear modulus of elasticity G , and the maximum shear strain g max (in radians). Solution 3.3-7 Aluminum tube in torsion 188 CHAPTER 3 Torsion 1.6 in. 1.2 in. 20 in. TT L 5 20 in. d 1 5 1.2 in. d 2 5 1.6 in. T 5 5800 lb-in. f 5 3.63 85 0.063355 rad M AXIMUM SHEAR STRESS t max 5 10,550 psi t max 5 Tr I P 5 (5800 lb-in.)(0.8 in.) 0.43982 in. 4 I P 5 p 32 ( d 2 4 2 d 1 4 ) 5 0.43982 in. 4 S HEAR MODULUS OF ELASTICITY M AXIMUM SHEAR STRAIN
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