Final Exam
ME 414 Mechanical Design I
Spring, 2011
Instructions:
This exam consists of two problems worth a total of 60 points.
The only materials
permitted are the textbook (Shigley
et al
.), a calculator and a total of three (3) 8.5"x11"
HANDWRITTEN crib sheets, which MUST be turned in with the exam.
1.
At the cross section shown in the figure, an automobile axle supports the following internal
forces and moments:
F
z
= 500 lb, F
y
= 600 lb, M
x
= 5000 lbin, M
z
= 4000 lbin.
The axle is
made of AISI 1030 cold drawn steel (S
y
= 64 ksi, S
ut
= 76 ksi).
a) Determine the magnitude and direction of all stress components acting at point A.
Sketch
stress element A in the appropriate plane, and clearly indicate the magnitude and direction of
each nonzero stress component.
(5 points)
b) Based on the Von Mises (distortion energy) criterion, determine the factor of safety against
yielding at point A.
(5 points)
c) Determine the magnitude and direction of all stress components acting at point B.
Sketch
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 Fall '11
 Dr.Klingbeil
 Stress concentration, Yield surface, Von Mises

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