Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 15.2, Problem 4P
The brick wall exerts a uniform distributed load of 1.20 kip/ft on the beam. If the allowable bending stress is σallow = 22 ksi and the allowable shear stress is τallow = 12 ksi, select the lightest wide-flange section with the shortest depth from Appendix B that will safely support the load. If there are several choices of equal weight, choose the one with the shortest height.
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The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joist are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is s allow = 1700 psi, determine the smallest height h so that the beam will support a load of P = 600 lb. Also, will the entire joist safely support the load? Neglect the stress concentration at the notch.
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. 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
Z
1 in
112
in
y
in → ← ¹ in
12
in
D
C
B
A
++
in
The area is determined to be 2.0625 in².
The distances from the neutral axis to the top and bottom surfaces are determined to be 0.858 x in and
The second moment of area is determined to be 0.447 in 4.
1.017
xin.
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. 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.
Chapter 15 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 15.2 - Determine the minimum dimension a to the nearest...Ch. 15.2 - Prob. 2FPCh. 15.2 - Prob. 3FPCh. 15.2 - Determine the minimum dimension h to the nearest...Ch. 15.2 - Prob. 5FPCh. 15.2 - Select the lightest W410-shaped section that can...Ch. 15.2 - The beam is made of timber that has an allowable...Ch. 15.2 - Determine the minimum width of the beam to the...Ch. 15.2 - Determine the minimum width of the beam to the...Ch. 15.2 - The brick wall exerts a uniform distributed load...
Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Prob. 6PCh. 15.2 - Select the lightest-weight wide-flange beam with...Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Select the lightest W360 wide-flange beam from...Ch. 15.2 - Investigate if the W250 58 beam can safely...Ch. 15.2 - The beam is constructed from two boards. If each...Ch. 15.2 - The joists of a floor in a warehouse are to be...Ch. 15.2 - The timber beam has a width of 6 in. Determine its...Ch. 15.2 - The beam is constructed from four boards. If each...Ch. 15.2 - The beam is constructed from two boards. If each...Ch. 15.2 - If the cable is subjected to a maximum force of P...Ch. 15.2 - If the W360 45 wide-flange beam has an allowable...Ch. 15.2 - If P = 800 lb, determine the minimum dimension a...Ch. 15.2 - If a = 3 in. and the wood has an allowable normal...Ch. 15.2 - The beam is constructed from three plastic strips....Ch. 15.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 15.2 - The beam is made of Douglas fir having an...Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Draw the shear and moment diagrams for the shaft,...Ch. 15.2 - Draw the shear and moment diagrams for the shaft,...
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