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Exam 1 Solution

Exam 1 Solution - EGM 3520 Exam 1 Spring 2010 NAME(Last...

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Unformatted text preview: EGM 3520 Exam 1 Spring 2010 NAME (Last, First) Section: 1585 or 1586 (circle one) Problem 1. (33 pts) A vibration isolation unit consists of two blocks of hard rubber bonded to plate AB and to the rigid supports as shown. For the type and grade of rubber used tanowable = 220 psi and G = 1800 psi. Knowing that a centric vertical force of 3.2 kips must cause a 0.10 inch vertical deﬂection of the plate AB, determine the smallest allowable dimensions a and b of the rubber blocks. gimﬂﬂ 2'3 2’20; [930 , A: 2.7242 317 5 only: no canal/er titan 2&2)» WW” Pmirmlpnj S 2" 0"? m 5’ 55/123“ 5 12.0.- :- DJZZZZ a é [8’00 : é:— , DJZZZZS at” ) w :p,€l3/8 & a» 1‘0 6D Mrs-IL be ML IMS‘I’ 0.8/8 J» Wu “-wr‘ EGM 3520 Exam 1 Spring 2010 NANLE (Last, First) Section: 1585 or 1586 (circle one) and v = 0.35. The block is initially 25 mm thick in the z direction before the stresses are applied. a) Determine the value of the compressive stress cry for which the change in height in the y direction will be zero. é 5;“; £33 +b) Find the new thickness in the z direction after the stresses in the X and y directions are applied. 3 c) What is the normal strain in the X direction after the stresses are applied? y ‘ a.) Aid-.203 .9. es =0 = Eli—65 “235930): 6'3 3 é3.0 Mi)!» (WMﬁ'QMJ W / ' - ma" . = .025 é : .azﬁ [0”35(v/30'6.§] 55 AL; 5‘; 45xloq AL; ‘5'?"0994939 9725 m art-190725 mm EGM 3520 Exam 1 Spring 2010 NANIE (Last, First) Section: 1585 or 1586 (circle one) . Problem 3. (34 pts) Shaft ABCD is attached to rigid walls at both ends A and D. Portion AB is made of aluminum with G = 27 GPa, while portion BCD is made of brass with G = 39 GPa. Between C and D, a 40 mm diameter hole has been bored in the center of the shaft. Recognizing this as a statically indeterminate problem, a) Find the support reactions at ends A and D. b) Find the twist angle at B relative to its original position (before the 1600 N.m torque was applied) ‘ t a » .250 GOMEM-ef O -: 173i (.6999) + W +_ [W4 . 27 #qu6035 “9/3 2 3? at my“? ( . 045 I32 3M0 rrébé "OW/32, O «s 3320.353 72 + MAC/2%,l , 11370 95552 4—“; .3711“ m {93.27 \$385,413.44 77+ : \$2513 {5 2/1; Mm ) inpwﬁﬁ? 7723 x 335% «x W * w m- 3 [v 5‘99) . .4 q: ”I qq" > \$3 AB 27>C ID q'rr L 034,43/3 9. ...
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