Solution 3.10-8Regular hexagonSECTION 3.10Thin-Walled Tubes249tbb5Length of sidet5Thickness Lm56bFROMAPPENDIXD, CASE25:b5608n5653Ï3b22Am5nb24cot b256b24cot 308SHEAR STRESSANGLE OF TWIST PER UNIT LENGTH(RATE OF TWIST)(radians per unit length)u5TGJ52TG(9b3t)52T9Gb3tJ54Am2t#Lm0dSt54Am2tLm59b3t2t5T2tAm5TÏ39b2tProblem 3.10-9Compare the angle of twist f1for a thin-walled circular tube(see figure) calculated from the approximate theory for thin-walled bars with theangle of twist f2calculated from the exact theory of torsion for circular bars. (a) Express the ratio f1/f2in terms of the nondimensional ratio b5r/t.(b) Calculate the ratio of angles of twist for b55, 10, and 20. What conclusionabout the accuracy of the approximate theory do you draw from these results?
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.