Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Textbook Question
Chapter 8, Problem 8.5.28P
A crank arm consists of a solid segment of length bxand diameter rf, a segment of length bltand a segment of length byas shown in the figure. Two loads P act as shown: one parallel to — vand another parallel to —y. Each load P equals 1.2 kN. The crankshaft dimensions are A] = 75 mm, fr> = 125 mm, and b3= 35 mm. The diameter of the upper shaft isd = 22 mm,
(a) Determine the maximum tensile, compressive, and shear stresses at point A, which is located on the surface of the shaft at the z axis.
(b) Determine the maximum tensile, compressive, and shear stresses at point B, which is located on the surface of the shaft at the y axis
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Question 5
A crank arm consists of a sold segment of length bi and diameter d, a segment of length b2,
and a segment of length b3 as shown n Figure Q5 Two loads P act as shown one parallel to
-x and another parallel to -y Each load P equals 1 2 kN The crankshaft dimensions are b
75 mm, b2 125 mm, and b3 = 35 mm. The diameter of the upper shaft is d 22 mm
Determine the maxımum tensile, compressive, and shear stresses at point A, which is located
on the surface of the shaft at the z axis
Tr
Hint Shear stress due to Torsion is T
Tis the torque on the shaft,
Ip
r is the shaft radus and In is the
16V
4V
Shear stress due to shear fore Vs T
3A
polar moment of inerta gven by
3πα2
32
B
b
b3
in-x directon
P in -y directon
Figure Q5
Prob. # 1] Figure below shows a crank loaded by a force F = 300 lb that causes twisting and
bending of a 3/4-inch-diameter shaft fixed to a support at the origin of the reference system. In
actuality, the support may be an inertia, but for the purposes of a stress analysis consider this
as a statics problem.
a) Draw separate free-body diagrams of the shaft AB and the arm BC, and compute the
values of all forces, moments, and torques. Label the directions of the coordinate axes
on these diagrams.
b) Compute the torsional stress and the bending stress in the arm BC and indicate where
these act.
c) Locate a stress element on the top surface of the shaft at A, and calculate all the stress
components that act upon this element.
d) Determine the maximum and minimum principal stresses at point A, and the angle of
inclination of the planes on which the principal stresses act.
e) Determine maximum shear stress at point A and the angle of inclination of the element
on which the maximum shear…
Chapter 8 Solutions
Mechanics of Materials (MindTap Course List)
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Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
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