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def bods exam 1 - 57:019:BBB MECHANICS OF DEFORMABLE BODIES...

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Unformatted text preview: 57:019:BBB MECHANICS OF DEFORMABLE BODIES Spring Semester 2009 The University of Iowa Midterm Exam #1 Problem 1 (30 pts): The 4—mm-diameter cable BC is made of a steel with E2200 GPa. Knowing that the maximum stress in the cable BC must not exceed 190 MPa and that the elongation of the cable must not exceed 6 mm, find the maximum load P that can be applied as shown. feta; Em: 3 m5 PM P w (Awaits; 7W“), Am; :5 [isszflafiilw P M F“? a gammy all J We)“. a, mm. M mar {Jamil P étfiég am ailéwaéla E, {Cgi {1‘0” '3 BC; (SEC allay 2" 4%” ‘2: Wifflifl”? ’1’» E31" L“ \ i A ‘“ mm ii I '9 § 1 , 5 ‘ 324me ;———~—=—=~= [W W ”” git; ”f .. (é 7 X 11%? fi fiifiiiij/LW”) ;; ”git? N M dtiuirfiig (#13305 ZXgiirmrai) , Silica Semiiex” M , , 9 . anyway,» 57:019zBBB Exam #1 Spring 2009 University of Iowa Problem 2 (30 pts): Two wooden planks, each 7/8 inch thick and 6 inch wide, are joined by the glued mortise joint shown. Knowing that the joint will fail when the average shearing stress in the glue reaches 120 psi, determine the smallest allowable length, d, of the cuts if the joint withstand an axial load, P = 1200 lb. (Neglect the tensile stresses in the glue joints.) 7 ////////,4 Glue my,” fix” """""" /$ ‘ I Siteavhwefi uzrwelzi, ‘23 'lk c aha; amt "“aqiéé (l , Wild,“ 57:019zBBB Exam #1 Spring 2009 University of Iowa Problem 3 (40 pts): Consider a composite shaft fabricated from a 2 in diameter aluminum alloy, G = 4><106 lb/inz, surrounded by a hollow steel circular shaft of outside diameter 2.5 in and inside diameter 2 in, G = 12X106lb/in2. The two metals are rigidly connected at their juncture. If the composite shaft is loaded by a twisting moment of 14,0001b—in, calculate the shearing stress at the outer fibers of the steel and also at the extreme fibers of the aluminum. Q1: Lia/cliffs: 6% ‘3 y, .3 fine A, ‘2 £33551: M [2, [a @954“ M ff ,. 7"} Jcflj :n:(izh> .5“ 115;"! i“ if. :r g(fl,15 mid»)? ...
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