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ES-282
Final Exam
Spring 1996
PAGE 3
Number -
2. (20 Points)
A cantilever shaft is subjected to the shear and torsional loads shown below. The diameter of
the shaft is 3 inches. The shaft is made of 6061 T6511 aluminum.
A) Determine the locations of maximum stress (be very specific).
B) Determine the magnitude and direction of the principal stresses at one of the locations
identified in A) and show them on a properly oriented element.
C) 6061 T6511 aluminum is a ductile material which yields in shear at 12 ksi. Determine the
factor of safety against yield.
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4
Number
3. (20 Points)
A composite shaft is made by shrink fitting a aluminum tube over a steel
core so they act as a unit in torsion.
For a torque of 100 in-kips
applied to the end of the shaft.
GAL=4xl03 ksi
GSTL=12xl03 ksi
Determine
A) The rotation at B.
B) The torques carried by the aluminum tube and the steel
respectively.
C) The maximum shear stress in the aluminum.
shaft,
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Summer 2002
CIVE 1160 Torsion Quiz
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The A-36 steel shaft rotates at w = 1000 rev/min and
tansmits the power shown.Determine the absolute maximum
shear stress in the shaft and the angle of twist of C with respect
to E if the inner and outer diameters are di =30mm and
do = 50 mm,respectively.
Probs. 5-53/5-54
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Summer 2002
CIVE 1160 Torsion Quiz
(5-53) The A-36 steel shaft rotates at w = 1000 rev/min and
~mits the power shown. Determine the absolute maximum
shear stress in the shaft and the angle of twist of C with respect
to E if the inner and outer diameters are di = 3(Jmm and
do = 50 mm,respectively.
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NUMBER -
THE UNIVERSITY OF TOLEDO
COLLEGE OF ENGINEERING
Summer Semester 2002
INSTR: D.K. NIMS, P.E.
CIVE 1160
Engineering Mechanics of Materials
Quiz 6
Torsion
NAME:
THERE IS ONE PROBLEM.
PROBLEM POINTS SCORE
#1
PAGE 1
10
ES-282
Name
Torsion Quiz Spring 1996
PAGE 2
2. Set up the equilibrium equation and compatibility equation for the following problem.
5-89. The tube is made from 2104-T6 aluminum and has an
inner diameter of 35 mm and an outer diameter of 60 nun. A
torqueof T = 900 N ' m is appliedto its endB. If it is filledwith
an A-36 steel plug AC, determine the maximum shear stressin the
aluminum and the steel and the rotation of the end B.
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ES-282
Torsion Quiz
Spring 1996
Name
PAGE 2
2. Set up the equilibrium equation and compatibility equation for the following problem.
. . -.
5-89. The tube is made from 2104-T6 aluminum and has an
inner diameter of 35 mm and an outer diameter of. 60 mm. A
torque of T
= 900
N . m is applied to its end B. If it is filled with
an A-36 steel plug AC, determine the maximum shear stressin the
aluminum and the steel and the rotation of the end B.
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Prob. 5-89
---
3. Why are there no thermal problems in the torsion chapter?
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ES-282
Torsion Quiz
Spring 1996
Name (\c./-
PAGE1
1.
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.; *5-56. The gears 3,ttachcd to the 304 stainless steel sbaft are
."~subjected to the torques shown. Deten\1inethe angle of twist of
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gear C with respectto ge'arB. The shaftbasa diameterof 1.5 in.
@OIb.ft
1500 Ib.ft
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Probs. 5-55/5-56
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ES-282
Final Exam
Spring 1996
PAGE 7
Number -
5. (20 Points)
The stepped steel shaft AC shown below has a load of 4 in-kip applied at B. The shaft is
rigidly supported at A and C.
Gsteel= 12 x 1O6psi
Determine
A) Determine the reactions at A and C.
B) The rotation at B.
C) The maximum shear stress in the assembly.

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