MECHANICS OF MATERIALS
10th Edition
ISBN: 2818440034374
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 11.2, Problem 11.23P
The allowable bending stress is σallow = 24 ksi and the allowable shear stress is τallow = 14 ksi.
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Consider that the section is transmitting a positive bending moment about the z axis,Mz, where Mz=10 kip*in if the dimensions of the section are given in ips units, or Mz=1.13kN*m if the dimensions are in SI units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces.
The steel shaft of a socket
wrench is 12 mm in diameter and
450 mm long. If the allowable
stress in shear is 76 MPa, what
is the maximum permissible
torque T that may be exerted
with the wrench? Through what
12 mm
angle Ø will the shaft twist under
-450 mm-
the action of the maximum
torque? (Assume G = 81 GPa and
disregard any bending of the
shaft.)
The 46-mm diameter shaft is supported by a smooth thrust bearing
at A and a smooth journal bearing at B. The pulleys C and D are
subjected to the vertical and horizontal loadings shown in the figure
below. (Figure 1)
Figure
400 mm
400 mm
C
C
300 N 300 N
400 mm
D
<
150 N
150 N
B
1 of 1 ▶
Part A
Determine the absolute maximum bending stress in the shaft.
Express your answer to three significant figures and include the appropriate units.
Omax=
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Chapter 11 Solutions
MECHANICS OF MATERIALS
Ch. 11.2 - Determine the minimum dimension a to the nearest...Ch. 11.2 - of the rod to safely support the load. The rod is...Ch. 11.2 - The wood has an allowable normal stress of allow =...Ch. 11.2 - of the beam's cross section to safely support the...Ch. 11.2 - Determine the minimum dimension b to the nearest...Ch. 11.2 - The beam is made of steel having an allowable...Ch. 11.2 - Determine its dimensions if it is to be...Ch. 11.2 - Determine the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - If the allowable bending stress is allow = 22 ksi...
Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - The allowable bending stress is allow = 22 ksi and...Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The beam has an allowable normal stress of allow =...Ch. 11.2 - The beam has an allowable normal stress of allow...Ch. 11.2 - If each nail can support a shear force of 200 lb....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - Determine its height h so that it simultaneously...Ch. 11.2 - The beam is constructed from four boards. If each...Ch. 11.2 - Prob. 11.15PCh. 11.2 - The beam has an allowable normal stress of allow....Ch. 11.2 - Determine the maximum cable force P that can...Ch. 11.2 - to safely support the load. The wood has an...Ch. 11.2 - and the wood has an allowable normal stress of...Ch. 11.2 - If the glue can support a shear stress of allow, =...Ch. 11.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 11.2 - Determine the width b if the height h=2b.Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - Determine the maximum load that can safely be...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - The tapered beam supports a uniform distributed...Ch. 11.4 - The tapered beam supports the concentrated force P...Ch. 11.4 - The beam is made from a plate that has a constant...Ch. 11.4 - Determine the variation in the depth d of a...Ch. 11.4 - Determine the variation of the radius r of the...Ch. 11.4 - Prob. 11.37PCh. 11.4 - Determine the variation in the width b as a...Ch. 11.4 - The tubular shaft has an inner diameter of 15 mm....Ch. 11.4 - Prob. 11.40PCh. 11.4 - Prob. 11.41PCh. 11.4 - The pulleys fixed to the shaft are loaded as...Ch. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.3RPCh. 11 - Determine the shaft's diameter to the nearest...Ch. 11 - Select the lightest-weight wide-flange beam from...Ch. 11 - The simply supported joist is used in the...Ch. 11 - The simply supported joist is used in the...Ch. 11 - by 4-in. pieces of wood braced as shown. If the...
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- For the connection shown, determine the average shear stress in the 0.75-in.-diameter bolts if the load is P = 64 kips.arrow_forwardProblem 1 Please choose the correct answer and also write down your solution. (1) The section supports an upward internal shear force and a clockwise internal torque. Where does the absolute maximum shear stress occur? a. Point A b. Point B c. Point C d. Point D (2) The internal force and moment of the section have been determined as F = 100î + 300k (N) and M = 50î + 40j (N - m). Where does the absolute maximum normal stress occur? a. Point A b. Point B c. Point C d. Point Darrow_forwardA solid shaft is subjected to a twisting moment of 350 kNm. If the angle of twist is 5° per meter of the shaft and the shear stress is not to exceed 350 MPa. Determine the suitable shaft diameter by comparing the strength design and rigidity design. Also, determine the maximum shear strain acting on the shaft. Take G =225 GPa.arrow_forward
- For the stepped bar, determine the maximum bending stress (in MPa). Express your response using three significant digits. 50 mm 40 mm 6 mm 8 mm 10 mm 5 mm 100 N-m 100 N.marrow_forwardPlot the shear-stress distribution over the cross section of a rod that has a radius c. By what factor is the maximum shear stress greater than the average shear stress acting over the cross section?arrow_forward07. Find the smallest diameter that can be used in the clevis shown below if P = 400 kN. The working shear stress for the bolt is 300 MPa. Express your answer in mm. 3/4 Parrow_forward
- A high-strength steel [E = 232 GPa] tube having an outside diameter of 86 mm and a wall thickness of 3.3 mm is bent into a circular curve having a 50-m radius of curvature. Determine the maximum magnitude of the bending stress Omax developed in the tube. Answer: Omax = i MPa.arrow_forwardConstruct the shear-force diagram and identify the largest negative shear force. Assume a = 5.9 ft, b = 11.8 ft, c = 23.6 ft, w = 1180 %3D Ib/ft, and P = 3400 lb. B C D a b Answer: V min i Ibarrow_forward2. If the allowable shear stress for each of the steel pins at A and B is tpe 6.5 ksi and the allowable normal stress for bar CB is Operm 10 ksi, determine the diameter of the pins at A and B and that of the square bar CB. Pin A is in double shear while Pin B is in single shear. Ignore points D and E. (^ } 2.5 ft -3 ft -5 ft 150 lb/ft Fx =arrow_forward
- The two square cross sections shown below (Figure 1) are each subjected to a vertical shear force, V. The side length of each cross section is s = 5.00 inin and the side length of the hollowed-out portion of the second cross section is r = 2.50 inin . The maximum allowable shear stress in each member is τmax = 19.0 ksi. One of the first steps in analyzing the geometry of the solid square shaft is to determine the moment of the area A’ about the neutral axis of the entire cross section. This value is denoted by Q. What is Q?(Figure 2) Answer is 15.625 in^3 A.) One of the first steps in analyzing the geometry of the hollow square shaft is to determine the moment of the area A’ about the neutral axis of the entire cross section. This value is denoted by Q. What is Q?(Figure 3) B.) Determine the maximum applicable shear force on the solid square shaft, Vmax. C.) Determine the maximum applicable shear force on the hollow square shaft, Vmax. In the image provided, figure 1 has a white slash…arrow_forwardShow complete process and FBDarrow_forwardFind the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure, с - 12.5 B A y I 50 100 75 12.5- 12.5 25 D 100 The area is determined to be 3750 mm² The distances from the neutral axis to the top and bottom surfaces are determined to be 57.292 The second moment of area is determined to be 4.293 x 106 mm4. mm and 42.708 ✪ mm.arrow_forward
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