GC 2009-267: TEACHING VON MISES STRESS: FROM PRINCIPAL AXES TO
NONPRINCIPAL AXES
Ing-Chang Jong, University of Arkansas
Ing-Chang Jong serves as Professor of Mechanical Engineering at the University of Arkansas. He
received a BSCE in 1961 from the Nationa
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MEEG 4103
Name: _
Midterm Exam
ID#: _
(Underline your last name.)
1. (30%) A steel countershaft ( E 30 106 psi ) with roller bearings at O and B is in equilibrium as
=
shown, where T1 = 9 T2 . Taking the bearings as simple suppor
MEEG 4103 Quiz 4.1.081 A steel countershaft with roller bearings at
O and B is in equilibrium as shown, where T1 = 6 T2 . Taking the
bearings as simple supports, determine (a) the deflection yC at C,
(b) the minimum shaft diameter d min needed, using -in.
MEEG 4103 Quiz 5.1.091 (20 points)
It is known that the total strain energy per unit volume u at a point
P of a machine part is given by
12
2
u
1 + 2 + 32 2 ( 1 2 + 2 3 + 3 1 )
=
2E
Making use of this formula, derive (a) the strain energy per unit
volu