Hw4 Solution

Hw4 Solution - Free body diagram: T A Ts Ta Equilibrium: T...

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Free body diagram: Equilibrium: 0 sa TT T + += ( 1 ) Deformation compatibility: s a ϕ = ( 2 ) Torque & Deformation relation: 11 s s TL GJ = , 22 a a = (3) We can combine equations (1)(2)(3) and obtain 19.972 kip in 15.028 kip in s a T T =− (a) Maximum stress in steel core ( ) 3 ,max 1 19.972 10 2.25/ 2 8.93 ksi 2.5161 ss s Tr J τ ×× == = (b) Maximum stress in aluminum jacket ( ) 3 ,max 2 15.028 10 3/ 2 4.15 ksi 5.4360 aa a J = (c) Angle of twist o 6 19.972 1000 8 12 0.068 rad=3.90 28.180 10 s JG × = × A Ts Ta T
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Free body diagram: Equilibrium: AB B BC TT T = + ( 1 ) Deformation compatibility: 0 AB BC
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This note was uploaded on 03/12/2008 for the course CEE 108 taught by Professor Staff during the Winter '07 term at UCLA.

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Hw4 Solution - Free body diagram: T A Ts Ta Equilibrium: T...

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