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 8.2, Problem 21P
To determine
Show that the maximum shearing stress at point K as
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A torque of T= 40 kip-in. acts on
gear C of the assembly shown in Fig.
P6.91. Shafts (1) and (2) are solid
2.00-in.-diameter stainless steel shafts
and shaft (3) is a solid 1.75-in.-
diameter stainless steel shaft. Assume
L=8 in. and G= 12,500 ksi.
Determine:
21
54 secth
(1)
(2)
(3).
(a) the maximum shear stress
magnitude in shaft (1).
42 leeth
(b) the maximum shear stress
magnitude in shaft segment (3).
(c) the rotation angle of gear E.
Figure E6.9-5
(d) the rotation angle of gear C.
Prob.10: [3.17]
Shaft AB is made of a steel with an allowable shearing stress of 90 MPa and
shaft BC is made of an aluminum with allowable shearing stress of 60 MPa.
Knowing that the diameter of shaft BC is 50 mm and neglecting the effect of
stress concentrations, determine (a) the largest torque T that can be applied
at A if the allowable stress is not to exceeded in the shaft BC, (b) the
corresponding required diameter of shaft AB.
Aluminum
Steel-
C
T'
В
A
6 ft
The composite shaft shown consists of a 0.2-in.-thick brass
jacket (G = 5.6 × 10° psi) bonded to a 1.2-in.-diameter steel core
(Gsteel = 11.2 x 10° psi). Knowing that the shaft is subjected to
5-kip · in. torques, determine (a) the maximum shearing stress in
the brass jacket, (b) the maximum shearing stress in the steel
core, (c) the angle of twist of end B relative to end A.
T
B
Brass jacket
1.2 in.
- Steel core
0.2 in.
Chapter 8 Solutions
Mechanics of Materials, 7th Edition
Ch. 8.2 - A W10 = 39 rolled-steel beam supports a load P as...Ch. 8.2 - Solve Prob. 8.1, assuming that P = 22.5 kips and a...Ch. 8.2 - An overhanging W920 449 rolled-steel beam...Ch. 8.2 - Solve Prob. 8.3, assuming that P = 850 kN and a =...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 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 - 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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- Q.2 (a) A hollow steel shaft of length 1.75 m transmits 2000 kW of power at a speed of 150 rev/min. The inside diameter is to be 0.75 times the outside diameter. The maximum allowable torsional shear stress for the steel is 130 MN/m and the modulus of rigidity (G) for the steel is 83 GN/m?. Given that a factor of safety of 2 is required for the shaft, determine: i) the torque acting on the shaft; ii) the required external and internal diameters for the shaft; ii) the torsional shear stress set-up in the shaft material at the inside surface of the hollow shaft, and sketch the stress distribution through the shaft wall; iv) the angle of twist (in degrees) due to the torque.arrow_forward(c) A torque T = 5600 Nm is applied to a hollow shaft having the cross section shown in Fig. Q2(c). Neglecting the effect of stress concentrations, determine the shearing stress at points a and b. Hint: q T 2A 90 mm 50 mm 75 mm with common notations. Fig. Q2(c) 5 mm -5 mmarrow_forwardThe stepped shaft shown rotates at 480 rpm. Knowing that r = 0.2 in. and using figure 3.28, determine the largest torque T that can be transmitted without exceeding an allowable shearing stress of 7000 psi.arrow_forward
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