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2_3-1 - Problem 3 2-3 A circular aluminum tube subjected to...

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Unformatted text preview: Problem 3. 2-3 A circular aluminum tube subjected to pure torsion by torques T [see figure} has an outer radius rz equal to twice the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 X Ill—'5 rad, what is the shear strain T1 at the inner surface? (b) If the maximum allowable rate of twist is 13.15 degrees per foot and the maximum shear strain is to he kept at 400 X Ill—'5 rad by adjusting the torque 1", what is the minimum required outer radius {Bl-um? Problems 3.2-3, 3.2-4, and 3.2-5 SDIIIIIIJII 3.2-3 Cirelflar aluminum mbe r2 = 2r1 r: (b) Mommas oo'rsa Ramos Tm“ = 4130 X 10—5 rad From Eq. {3—5a}: am = fl.lfi°.tfi (I, Tm = rsE = r33 11' rad 1 fl = [1.15‘itft (— )(— —) _ l 3' lso degree 12 in. Tm 4m x 1o 5 rad r . =—=— {2}“ am 213.2X1D'5radi'in. _ -E ' — 213.2 X 10 radt'm. {Palm = 133 in. q— {a} SHEAR STRAIN AT mass stresses From Eq. {3—513}: 1 1 —s T1=Ey2=iwflflxlfl rad} 1:1 = 2mx1fl_firad «— ...
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