Exam 1 - Solution

Exam 1 - Solution - Exam 1(31313400 Strengths Spring 2009...

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Unformatted text preview: . Exam 1 (31313400, Strengths, Spring 2009 Closed Book, Closed Notes Tue5., Feb. 17th, 2009, 4:30 RIM—5:30 PM 0 Draw FBDS as required ‘1 6 Clearly state all assumptions made towards solving the problem 1) Deformable links BD and CE are attached to a, rigid link ABC at B and C by pins with a, negligible diameter. Link ED is made of brass (EBT : 15 X 103 “1,057; = 15 1652') and has a cross—sectional area, of 0.4 in? Link CE is made of aluminum (EA; : 10 X 103 ksl, 0511i : 8 ksi) and has a cross—sectional area, of 0.5 mg. Determine (a) The largest load P that can be applied at A, if the the deformable links are to be designed for a factor of safety of 3.0 l- 28% £1,673 (b) The corresponding deflection of A (25 pts) I) L ~~>+~< 9.0 in. —»l 5.0 int 2) The steel shaft ABCD (G3,: = 27 01%) is held fixed at A and D, Determine (a) The reaction torques at A and D (b) The maximum shear stress in portion BC (30 pts) 3) a) The plate, shown in figure, is subjected to a biaxial state of normal stress 0’35 : 200 M’Pa and or; 2 60 M Pa. Determine the %age Change in the length of diagonal BD (10 pts) b) The thin hollow brass shaft, shown in figure, has an allowable shear stress of Tau 2: 12 ksi. : Determine the maximum torque that can be applied on the shaft. g (10 pts) a». W- ww « r 3 s ,. ‘. ‘ A i ,m,wggfl‘éwmm‘myNVW mi \ x; ‘ , t L,” a E : V , 1. > E “‘3‘ ‘5 5?? ~“" w “gym, gm»; £34 1,.» my: R: 7?; wig 5?: & WE..§%EEE§, .uwuw 6mm” mnanudrs w A” £2 £1 ...
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Exam 1 - Solution - Exam 1(31313400 Strengths Spring 2009...

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