Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.2, Problem 5P
Select the lightest-weight wide-flange beam from Appendix B that will safely support the machine loading shown. The allowable bending stress is σallow = 24 ksi and the allowable shear stress is τallow = 14 ksi.
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The box beam is made by nailing four 2-in. by 8-in. plankstogether as shown. Given that w0 = 300 lb/ft, find the largestallowable force P if the bending stress is limited to 1400 psi.
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 joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.
Select the lightest-weight wide-flange beam from Appendix B that will safely support the machine loading shown. The allowable bending stress is sallow = 24 ksi and the allowable shear stress is tallow = 14 ksi.
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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- Draw the shear-force and bending-moment diagram for the beam shown. Assume the upward reaction provided by the ground to be uniformly distributed. Let a = 5.0 ft, b = 3.4 ft, P = 25 kips, and w = 1.1 kips/ft. Label all significant points on each diagram. Determine the maximum value of (a) the internal shear force and (b) the internal bending moment.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.arrow_forwardThe beam has a rectangular cross-section as shown in Fig.5. (1) Draw the shear-force and bending-moment diagrams for this beam. (2) Determine the largest load P that can be supported on its overhanging ends so that the bending stress does not exceed σmax = 10 MPa.arrow_forwardTwo designs for a beam are to be considered. Determine which one will support a moment of M = 140 kN . m with the least amount of bending stress. What is that stress?arrow_forward
- A 20 ft long simply supported beam has 15-inch outside diameter with 1-inch-thick circular section. The beam carries 10 lb/ft uniformly distributed load from the right support to its middle span. Another 15 lb concentrated load applied downward in the left-end support. Determine the maximum bending stress (k-lb/ft2) of the simply supported beam.arrow_forward41. The wide-flange I beam as shown is 20 ft. long. It is fixed at one end and free at the other. A twisting moment of 30,000 lb-in. is applied at the free end. If E=30×10° psi and G =12x10° psi, compute the maximum normal and shearing stresses due to bending and the maximum shearing stress due to twist. What is the angle of twist of the beam at the free end? 10.5" 1.368" 0.845" 10" prob 41arrow_forwardTo calculate the necessary height of its cross-section beam of the shape, if the maximum allowed correct stress is 12MPa and the maximum allowed shear stress is 2MPa.arrow_forward
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