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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 MIDTERM 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, Lshape 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 freebody 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 Lshape 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 Zaxis at the freeend 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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 Spring '07
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