MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 11.2, Problem 35P
Determine the variation in the depth d of a cantilevered beam that supports a concentrated force P at its end so that it has a constant maximum bending stress σallow throughout its length. The beam has a constant width b0.
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Chapter 11 Solutions
MECHANICS OF MATERIALS
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- Q1: For the given cross-section of a beam, determine the internal bending moment Mz actingabout the z centroidal axis of the beam, If the bending stress at point K is (-43) MPa. Alsodetermine the bending stress at point H.arrow_forwardDetermine the variation in the width b as a function of x for the cantilevered beam that supports a uniform distributed load along its centerline so that it has the same maximum bending stress sallow throughout its length. Thebeam has a constant depth t.arrow_forwardthe beam has the rectangular cross section shown. if w=3kN/m, determine the maximum bending stress in the beam.arrow_forward
- The beam is subjected to a moment of 15 kip # ft. Determine the resultant force the bending stress produces on the top flange A and bottom flange B. Also calculate the maximum bending stress developed in the beam.arrow_forwardThe moment acting on the cross section of the beam is M= 3.5 kip⋅ft. Determine the maximum bending stress in the beam.arrow_forwardDetermine the minimum depth, h, of the beam to the nearest 4 kip/ft 1/8" that will safely support the loading shown. The allowable bending stress is oallow = 21 ksi and the allowable shear stress is 12 ft 6 ft = 10 ksi. The beam has a Tallow uniform thickness of 3".arrow_forward
- (Q2-a) The steel beam has the cross-sectional area shown. If w = 5 kip\ft, determine the absolute maximum bending stress in the beam. -8 ft 8 ft 8 ft 0.3 in.- 8 in.. I 0.30 in. 10 in. 0.30 in.arrow_forwardThe beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N # m, determine the maximum bending stress in the beam. Sketch a three-dimensional view of the stress distribution and cover the cross section.arrow_forwardDetermine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.arrow_forward
- The bar has a thickness of 0.5 in. and is subjected to a moment of 600 lb # ft. Determine the maximum bending stress in the bar.arrow_forwardDetermine the magnitude of the moment Mc for the cantilever beam, where P = 14 kips and M = 65 kip-ft. M 3.5 ft 6.5 ft O 94 kips O 75 kips 48 kips 81 kips 63 kipsarrow_forwardDetermine the variation of the radius r of the cantilevered beam that supports the uniform distributed load so that it has a constant maximum bending stress smax throughout its length.arrow_forward
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