Problem 3.4-4A solid circular bar ABCconsists of two segments,as shown in the figure. One segment has diameter d1550 mm andlength L151.25 m; the other segment has diameter d2540 mmand length L251.0 m.What is the allowable torque Tallowif the shear stress is not toexceed 30 MPa and the angle of twist between the ends of the bar is not to exceed 1.5°? (Assume G580 GPa.)Solution 3.4-4Bar consisting of two segments200CHAPTER 3TorsionL1L2TABCd1d2Ttallow530 MPafallow51.5850.02618 radG580 GPaALLOWABLE TORQUE BASED UPON SHEAR STRESSSegment BChas the smaller diameter and hence thelarger stress.tmax516Tpd3Tallow5pd23tallow1653.77N #mALLOWABLE TORQUE BASED UPON ANGLE OF TWISTANGLE OF TWIST GOVERNSTallow5348N?mÊTallow5pfallowG32 ¢L1d141L2d24≤5348N?mf532TpG¢L1d141L2d24≤f5aTiLiGIPi5TL1GIP11TL2GIP25TG¢L1IP11L2IP2≤L1 = 1.25 mL2 = 1.0 m
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