187_Mechanics Homework Mechanics of Materials Solution

187_Mechanics Homework Mechanics of Materials Solution - L...

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Unformatted text preview: L O PROBLEM 3.21 3.21 A torque of magnitude T= 1000 N-m is applied at D as shown. Knowing that the diameter of shaft AB is 56 mm and the diameter of shaft CD is 42 mm, determine the maximum shearing stress in (a) shafl AB, (b) shafi CD. SOLUTION Tee = 1000 N-Im Y‘ T.“ =- mf-‘E Ten : 11%.?"00005‘ 2500 ”"01 .simH AB: c $50! .- 0.023 m T. E 2 _I_ = (2162500) = J Tree 1109.023): = 0.020 m (2)0000) __ 1110.020)3 ' PROBLEM 3.22 3.22 A torque of magnitude T= 1000 him is applied at D as shown. Knowing that the allowable shearing stress is 60 We, in each shafi, determine the required diameter of (a) shaft AB, (1;) 31130 CD. SOLUTION TcD = 1000 Non. - .122. - - W (Ioooi- 2500Mm Ta» = 60 XIO‘ Pa. 21' cs=_2_'_: _ (2)01500) _ .1753 'IT’i’ " 11(60xto‘) " c = manta" = 29.32 mm m ' 'O'G’°*‘°" ”’3 :d = QC =‘ 43.? mm ...
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