Statics and Mechanics of Materials (5th Edition)
Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 12.2, Problem 30P

Determine the maximum shear stress in the T-beam at section C. Show the result on a volume element at this point.

Chapter 12.2, Problem 30P, Determine the maximum shear stress in the T-beam at section C. Show the result on a volume element

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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.
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.
Determine the maximum tensile (fot) and compressive (foc) stresses (psi) developed in the overhanging beam. The cross-section is an inverted T with the given properties 1,500 lb 3,000 lb 1,000 lb 7 in N.A. 2 in 6 ft 6 ft = 84 in R1 R2 3.

Chapter 12 Solutions

Statics and Mechanics of Materials (5th Edition)

Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - The wood beam has an allowable shear stress of...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - Determine the largest shear force V that the...Ch. 12.2 - If the applied shear force V = 18 kip, determine...Ch. 12.2 - The overhang beam is subjected to the uniform...Ch. 12.2 - The beam is made from a polymer and is subjected...Ch. 12.2 - Determine the maximum shear stress in the strut if...Ch. 12.2 - Determine the maximum shear force V that the strut...Ch. 12.2 - Prob. 15PCh. 12.2 - Plot the shear-stress distribution over the cross...Ch. 12.2 - Prob. 17PCh. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - Determine the length of the cantilevered beam so...Ch. 12.2 - If the beam is made from wood having an allowable...Ch. 12.2 - Determine the largest intensity w of the...Ch. 12.2 - If w = 800 lb/ft, determine the absolute maximum...Ch. 12.2 - Determine the shear stress at point B on the web...Ch. 12.2 - Determine the maximum shear stress acting at...Ch. 12.2 - Railroad tics must be designed to resist large...Ch. 12.2 - Prob. 27PCh. 12.2 - Prob. 28PCh. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Prob. 31PCh. 12.3 - The two identical boards are bolted together to...Ch. 12.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 12.3 - Prob. 8FPCh. 12.3 - Prob. 9FPCh. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from three boards. If it...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - Prob. 36PCh. 12.3 - The double T-beam is fabricated by welding the...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - A beam is constructed from three boards bolted...Ch. 12.3 - The simply supported beam is built up from three...Ch. 12.3 - Prob. 41PCh. 12.3 - Prob. 42PCh. 12.3 - Prob. 43PCh. 12.3 - The box beam is constructed from four boards that...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - Prob. 47PCh. 12.3 - Prob. 48PCh. 12 - The beam is fabricated from four boards nailed...Ch. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Prob. 4RPCh. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Prob. 7RPCh. 12 - The member consists of two triangular plastic...Ch. 12 - If the pipe is subjected to a shear of V = 15 kip,...
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