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1351_Mechanics Homework Mechanics of Materials Solution

1351_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 1157 11.56 The lOO-Ib collar G is released fi-om rest in the position shown and is stopped by plate 313me is attached to the 5;— -in.-diameter steel rod CD and to the ‘3- - in.- diameter steel rods AB and EF. Knowingthat for the grade of steel used a." = 24 ksi and E = 29 X 10" psi, determine the largest allowable distance h. 11.57 Solve Prob. 11.56, assumingthal the %-in.-diameter steel deD is replaced by a % —in..diatnetet rod made ofa grade of aluminum for which a." = 20 ksi and E = 10.6 x 106 psi. SOLUTION Let} A... be Ht: eponjd‘l’t'on. - 97¢— : é—Lofi - .6”;th A”, - Ens Ecp '- EFF 3 I. l IF 6A3 =’ 2”“03 psi J An = W :- 77.hwsxto’ m. I‘F 664:. 7.- 20%)03 P5") Ah -_- W ._.. 13'.’3 X I'D-3 in. Shgfijer vaflue jet/ewes Am =, 77. 448 RIO-s in. - FzL , EAflm/L )1L_ _ EA A: PW QM“ W. U ’ 25A 22A ' _2t Real CD: A“ = 126%)“ -' o.GC>132 I311) Em U - (lac,xto‘)(o.eonsflhfiqqaxm”? 5° - (2)076) Rods A8 4'14 EF3 Ana ’ AEF : JL¥C§Y = 0-30685 in; u = U e Wane-s): AB R (2)(=rc) - I01; HO" psi 2 29 7.54 inn”: 2.92.4? I'n- A“) To+¢v9 U,“ 1‘ Uae" U“, + U” 7‘14.52 Err-j]: Fat/(jinn Al'sfaflfi? 1:5 h + Am . wt. '00 It "W (In + A...) = U... h+AM e 31% e 711;“ : 7.9%: :e \q = 7.9%‘2. - 7q-4qsezo‘3 = 7.3? tr). ...
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