Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
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Chapter 8.3, Problem 38P
Two forces are applied to the pipe AB as shown. Knowing that the pipe has inner and outer diameters equal to 35 and 42 mm, respectively, determine the normal and shearing stresses at (a) point a, (b) point b.
Fig. P8.38
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1.4 kN - m
PROBLEM 8.43
A 10-kN force and a 1.4-kN - m couple are applied at the top of the 65-mm
diameter brass post shown. Determine the principal stresses and maximum
shearing stress at (a) point H, (b) point K.
10 kN
240 mm
Omax = 30.0 MPa
O min =-30.0 MPa
Tmax = 30.0 MPa
Omax = 7.02 MPa
Omin =-96.0 MPa
Tmay =51.5 MPa
PROBLEM 7.26
0.2 m
The axle of an automobile is acted upon by the forces and couple
shown. Knowing that the diameter of the solid axle is 32 mm,
determine (a) the principal planes and principal stresses at point H
located on top of the axle, (b) the maximum shearing stress at the
same point.
3 kN
350 N- m
3 kN
Omax = 18.67 MPa
= -158,5 MPa
O min
7.25 The steel pipe AB has a 102-mm outer diameter and a 6-mm wall
thickness. Knowing that arm CD is rigidly attached to the pipe,
determine the principal stresses and the maximum shearing stress
at point K.
10 kN
200 mm
C
Fig. P7.25
22
6 mm
B
H
D
51 mm
150 mm
Chapter 8 Solutions
Mechanics of Materials, 7th Edition
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Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Prob. 12PCh. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Using the notation of Sec. 8.2 and neglecting the...Ch. 8.2 - The 4-kN force is parallel to the x axis, and the...Ch. 8.2 - The vertical force P1 and the horizontal force P2...Ch. 8.2 - The two 500-lb forces are vertical and the force P...Ch. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shafts ABC and DEF and the gears shown...Ch. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - The cantilever beam AB has a rectangular cross...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - Prob. 37PCh. 8.3 - Two forces are applied to the pipe AB as shown....Ch. 8.3 - Several forces are applied to the pipe assembly...Ch. 8.3 - The steel pile AB has a 100-mm outer diameter and...Ch. 8.3 - Three forces are applied to a 4-in.-diameter plate...Ch. 8.3 - The steel pipe AB has a 72-mm outer diameter and a...Ch. 8.3 - A 13-kN force is applied as shown to the...Ch. 8.3 - A vertical force P of magnitude 60 lb is applied...Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Prob. 46PCh. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Three forces are applied to the machine component...Ch. 8.3 - Prob. 52PCh. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Prob. 57PCh. 8.3 - Four forces are applied to a W8 28 rolled-steel...Ch. 8.3 - A force P is applied to a cantilever beam by means...Ch. 8.3 - Prob. 60PCh. 8.3 - A 5-kN force P is applied to a wire that is...Ch. 8.3 - Knowing that the structural tube shown has a...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8 - (a) Knowing that all = 24 ksi and all = 14.5 ksi,...Ch. 8 - Neglecting the effect of fillets and of stress...Ch. 8 - Knowing that rods BC and CD are of diameter 24 mm...Ch. 8 - The solid shaft AB rotates at 450 rpm and...Ch. 8 - A 6-kip force is applied to the machine element AB...Ch. 8 - A thin strap is wrapped around a solid rod of...Ch. 8 - A close-coiled spring is made of a circular wire...Ch. 8 - Forces are applied at points A and B of the solid...Ch. 8 - Knowing that the bracket AB has a uniform...Ch. 8 - For the post and loading shown, determine the...Ch. 8 - Knowing that the structural tube shown has a...Ch. 8 - The cantilever beam AB will be installed so that...
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