DMC Midterm Sol - RUTGERS, THE STATE UNIVERSITY OF NEW...

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Unformatted text preview: RUTGERS, THE STATE UNIVERSITY OF NEW JERSEY College of Engineering Department of Mechanical and Aerospace Engineering 650:342 Design of Mechanical Components MID-TERM EXAM Spring 2008 Instructions: 0 DO NOT forget to > write down your NAME on the exam book. > state clearly which figure/table/appendix, if any, is used for estimating the necessary parameters in your derivation. > state clearly the assumptions you are making 0 80 min, open book, closed notes, and closed homework solutions. P1. (20 points) What is the spring constant of the following pivoting rigid link with respect to a horizontal force applied at point C ? __ P2. (45 points) A load carrying, L-shape round bar shown in the figure below has diameter d = 0.02m with F= IOON, T= 20N.m, a = 0.1m, b = 0.15m 3. Using the free-body diagram, determine both the magnitude and the direction of all the loads existing at the cross section AA plane. (10 points) b. Compute and sketch the stresses acting on element S, located on the top surface at the section AA plane. (Neglect stress concentration and transverse shear) (15 points) Represent the stress at element S with a 3D Mohr circle. (10 points) d. At location S, compute the orientation and the normal stresses (01, 02) acting on a principal element, and compute the maximum share stress (rum) at element S. (10 points) .0 Z support P3. (35 points) A L-shape bracket with circular cross section is loaded with a force F along Y—axis as shown in the figure below. Use Castigliano’s method derive an expression for the resulting angular deflection A6 about Z-axis at the free-end of the bracket. Assuming all the material and geometrical properties (E, G, A, I, J) are given. Solid round rod of properties E, G, A, __,:‘<T+'Foo's%. mm ‘. 2 3m __ 73/64 __ "' .. Ed? .. ,. 7.5.43. 38MPa (a 3 __ 33 z “ *2“ +J‘”+c 33' ,— 7/ f' "mama; . Assome , _.=._, So“, 2CT+F0~~F><)0&X ...
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DMC Midterm Sol - RUTGERS, THE STATE UNIVERSITY OF NEW...

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