Problem 3.2-3A circular aluminum tube subjected to pure torsionby torquesT(see figure) has an outer radiusr2equal to twice the innerradiusr1(a)If the maximum shear strain in the tube is measured as400106rad, what is the shear strain1at the innersurface?(b)If the maximum allowable rate of twist is 0.15 degreesper foot and the maximum shear strain is to be kept at400106rad by adjusting the torqueT, what is theminimum required outer radius (r2)min?LTr1r2Tr22r1.182CHAPTER 3Torsion(a) SHEAR STRAIN AT INNER SURFACEProblems 3.2-3, 3.2-4, and 3.2-5
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Problem 3.2-4A circular steel tube of lengthL0.90 m is loaded intorsion by torquesT(see figure).(a)If the inner radius of the tube isr140 mm and the measuredangle of twist between the ends is 0.5°, what is the shear strain1(in radians) at the inner surface?(b)If the maximum allowable shear strain is 0.0005 rad and the angleof twist is to be kept at 0.5° by adjusting the torqueT, what is themaximum permissible outer radius (r2)max?