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03-03ChapGere.0001 - 236 A-PDF Torsion CHAPTER 3 Split DEMO...

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Strain Energy in Torsion Problem 3.9-1 A solid circular bar of steel ( G 11.4 10 6 psi) with length L 30 in. and diameter d 1.75 in. is subjected to pure torsion by torques T acting at the ends (se e figure). (a) Calculate the amount of strain energy U stored in the bar when the maximum shear stress is 4500 psi. (b) From the strain energy, calculate the angle of twist (in degrees). Solution 3.9-1 Steel bar 236 CHAPTER 3 Torsion L d T T L d T T G 11.4 10 6 psi L 30 in. d 1.75 in. max 4500 psi (Eq. 1) I P d 4 32 t max 16 T d 3 T d 3 t max 16 (a) S TRAIN ENERGY (Eq. 2) Substitute numerical values: (b) A NGLE OF TWIST Substitute for T and U from Eqs. (1) and (2): (Eq. 3) Substitute numerical values: f 0.013534 rad
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