EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Textbook Question
Chapter 5.3, Problem 79P
A steel pipe of 100-mm diameter is to support the loading shown. Knowing that the stock of pipes available has thicknesses varying from 6 mm to 24 mm in 3-mm increments, and that the allowable normal stress for the steel used is 150 MPa, determine the minimum wall thickness t that can be used.
Fig. P5.79
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Straight rods of 0.30-in. diameter and 200-ft length are sometimes used to clear underground conduits of obstructions or to thread wires through a new conduit. The rods are made of high-strength steel and, for storage and transportation, are wrapped on spools of 5-ft diameter. Assuming that the yield strength is not exceeded, determine (a) the maximum stress in a rod, when the rod, which was initially straight, is wrapped on the spool, (b) the corresponding bending moment in the rod. Use E= 29 * 106 psi.
A timber beam AB of length L and rectangular cross section carries a single concentrated load P at its midpoint C. (a) Show that the ratio Tm/ m of the maximum values of the shearing and normal stresses in the beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 2 m, P = 40 kN, 7m = 960 kPa, and om = 12 MPa.
Homework
A timber beam AB of length L and rectangular cross section carries
a single concentrated load P at its midpoint C. (a) Show that the ratio
Tm/Tm of the maximum values of the shearing and normal stresses in
the beam is equal to h/2L, where h and L are, respectively, the depth
and the length of the beam. (b) Determine the depth h and the width
b of the beam, knowing that L = 2 m, P = 40 kN, 7m = 960 kPa,
and om = 12 MPa.
|P
L/2 -
- L/2·
A
В
Chapter 5 Solutions
EBK MECHANICS OF MATERIALS
Ch. 5.1 - 5.1 through 5.6 For the beam and loading shown,...Ch. 5.1 - 5.1 through 5.6 For the beam and loading shown,...Ch. 5.1 - 5.1 through 5.6 For the beam and loading shown,...Ch. 5.1 - 5.1 through 5.6 For the beam and loading shown,...Ch. 5.1 - 5.1 through 5.6 For the beam and loading shown,...Ch. 5.1 - 5.1 through 5.6 For the beam and loading shown,...Ch. 5.1 - 5.7 and 5.8 Draw the shear and bending-moment...Ch. 5.1 - 5.7 and 5.8 Draw the shear and bending-moment...Ch. 5.1 - 5.9 and 5.10 Draw the shear and bending-moment...Ch. 5.1 - 5.9 and 5.10 Draw the shear and bending-moment...
Ch. 5.1 - 5.11 and 5.12 Draw the shear and bending-moment...Ch. 5.1 - 5.11 and 5.12 Draw the shear and bending-moment...Ch. 5.1 - 5.13 and 5.14 Assuming that the reaction of the...Ch. 5.1 - 5.13 and 5.14 Assuming that the reaction of the...Ch. 5.1 - 5.15 and 5.16 For the beam and loading shown,...Ch. 5.1 - 5.15 and 5.16 For the beam and loading shown,...Ch. 5.1 - For the beam and loading shown, determine the...Ch. 5.1 - For the beam and loading shown, determine the...Ch. 5.1 - 5.19 and 5.20 For the beam and loading shown,...Ch. 5.1 - 5.19 and 5.20 For the beam and loading shown,...Ch. 5.1 - Draw the shear and bending-moment diagrams for the...Ch. 5.1 - 5.22 and 5.23 Draw the shear and bending-moment...Ch. 5.1 - 5.22 and 5.23 Draw the shear and bending-moment...Ch. 5.1 - 5.24 and 5.25 Draw the shear and bending-moment...Ch. 5.1 - 5.24 and 5.25 Draw the shear and bending-moment...Ch. 5.1 - Knowing that W = 12 kN, draw the shear and...Ch. 5.1 - Determine (a) the magnitude of the counterweight W...Ch. 5.1 - Determine (a) the distance a for which the...Ch. 5.1 - Knowing that P = Q = 480 N, determine (a) the...Ch. 5.1 - Solve Prob. 5.29, assuming that P = 480 N and Q =...Ch. 5.1 - Determine (a) the distance a for which the...Ch. 5.1 - A solid steel rod of diameter d is supported as...Ch. 5.1 - A solid steel bar has a square cross section of...Ch. 5.2 - Using the method of Sec. 5.2, solve Prob. 5.1a....Ch. 5.2 - Using the method of Sec. 5.2, solve Prob. 5.2a....Ch. 5.2 - Prob. 36PCh. 5.2 - Prob. 37PCh. 5.2 - Using the method of Sec. 5.2, solve Prob. 5.5a....Ch. 5.2 - Using the method of Sec. 5.2, solve Prob. 5.6a....Ch. 5.2 - Using the method of Sec. 5.2, solve Prob. 5.7. 5.7...Ch. 5.2 - Using the method of Sec. 5.2, solve Prob. 5.8. 5.7...Ch. 5.2 - Prob. 42PCh. 5.2 - Using the method of Sec. 5.2, solve Prob. 5.10....Ch. 5.2 - 5.44 and 5.45 Draw the shear and bending-moment...Ch. 5.2 - 5.44 and 5.45 Draw the shear and bending-moment...Ch. 5.2 - Prob. 46PCh. 5.2 - Prob. 47PCh. 5.2 - Prob. 48PCh. 5.2 - Using the method of Sec. 5.2, solve Prob. 5.20....Ch. 5.2 - 5.50 and 5.51 Determine (a) the equations of the...Ch. 5.2 - 5.50 and 5.51 Determine (a) the equations of the...Ch. 5.2 - 5.52 and 5.53 Determine (a) the equations of the...Ch. 5.2 - 5.52 and 5.53 Determine (a) the equations of the...Ch. 5.2 - 5.54 and 5.55 Draw the shear and bending-moment...Ch. 5.2 - 5.54 and 5.55 Draw the shear and bending-moment...Ch. 5.2 - 5.56 and 5.57 Draw the shear and bending-moment...Ch. 5.2 - 5.56 and 5.57 Draw the shear and bending-moment...Ch. 5.2 - 5.58 and 5.59 Draw the shear and bending-moment...Ch. 5.2 - 5.58 and 5.59 Draw the shear and bending-moment...Ch. 5.2 - Knowing that beam AB is in equilibrium under the...Ch. 5.2 - Knowing that beam AB is in equilibrium under the...Ch. 5.2 - The beam AB supports two concentrated loads P and...Ch. 5.2 - The beam AB supports a uniformly distributed load...Ch. 5.2 - Beam AB supports a uniformly distributed load of 2...Ch. 5.3 - 5.65 and 5.66 For the beam and loading shown,...Ch. 5.3 - 5.65 and 5.66 For the beam and loading shown,...Ch. 5.3 - 5.67 and 5.68 For the beam and loading shown,...Ch. 5.3 - 5.67 and 5.68 For the beam and loading shown,...Ch. 5.3 - 5.69 and 5.70 For the beam and loading shown,...Ch. 5.3 - 5.69 and 5.70 For the beam and loading shown,...Ch. 5.3 - 5.71 and 5.72 Knowing that the allowable normal...Ch. 5.3 - 5.71 and 5.72 Knowing that the allowable normal...Ch. 5.3 - 5.73 and 5.74 Knowing that the allowable normal...Ch. 5.3 - 5.73 and 5.74 Knowing that the allowable normal...Ch. 5.3 - 5.75 and 5.76 Knowing that the allowable normal...Ch. 5.3 - 5.75 and 5.76 Knowing that the allowable normal...Ch. 5.3 - 5.77 and 5.78 Knowing that the allowable normal...Ch. 5.3 - 5.77 and 5.78 Knowing that the allowable normal...Ch. 5.3 - A steel pipe of 100-mm diameter is to support the...Ch. 5.3 - Two metric rolled-steel channels are to be welded...Ch. 5.3 - Two rolled-steel channels are to be welded back to...Ch. 5.3 - Two L4 3 rolled-steel angles are bolted together...Ch. 5.3 - Assuming the upward reaction of the ground to be...Ch. 5.3 - Assuming the upward reaction of the ground to be...Ch. 5.3 - Determine the largest permissible distributed load...Ch. 5.3 - Solve Prob. 5.85, assuming that the cross section...Ch. 5.3 - Determine the largest permissible value of P for...Ch. 5.3 - Solve Prob. 5.87, assuming that the T-shaped beam...Ch. 5.3 - Beams AB, BC, and CD have the cross section shown...Ch. 5.3 - Beams AB, BC, and CD have the cross section shown...Ch. 5.3 - Each of the three rolled-steel beams shown...Ch. 5.3 - A 54-kip load is to be supported at the center of...Ch. 5.3 - A uniformly distributed load of 66 kN/m is to be...Ch. 5.3 - A roof structure consists of plywood and roofing...Ch. 5.3 - Solve Prob. 5.94, assuming that the 6-kN...Ch. 5.3 - Prob. 96PCh. 5.3 - Assuming that the front and rear axle loads remain...Ch. 5.4 - 5.98 through 5.100 (a) Using singularity...Ch. 5.4 - 5.98 through 5.100 (a) Using singularity...Ch. 5.4 - 5.98 through 5.100 (a) Using singularity...Ch. 5.4 - 5.101 through 5.103 (a) Using singularity...Ch. 5.4 - Prob. 102PCh. 5.4 - Prob. 103PCh. 5.4 - Prob. 104PCh. 5.4 - Prob. 105PCh. 5.4 - Prob. 106PCh. 5.4 - Prob. 107PCh. 5.4 - Prob. 108PCh. 5.4 - Prob. 109PCh. 5.4 - Prob. 110PCh. 5.4 - Prob. 111PCh. 5.4 - Prob. 112PCh. 5.4 - 5.112 and 5.113 (a) Using singularity functions,...Ch. 5.4 - Prob. 114PCh. 5.4 - 5.114 and 5.115 A beam is being designed to be...Ch. 5.4 - 5.116 and 5.117 A timber beam is being designed to...Ch. 5.4 - Prob. 117PCh. 5.4 - Prob. 118PCh. 5.4 - Prob. 119PCh. 5.4 - 5.118 through 5.121 Using a computer and step...Ch. 5.4 - Prob. 121PCh. 5.4 - 5.122 and 5.123 For the beam and loading shown and...Ch. 5.4 - 5.122 and 5.123 For the beam and loading shown and...Ch. 5.4 - 5.124 and 5.125 For the beam and loading shown and...Ch. 5.4 - Prob. 125PCh. 5.5 - 5.126 and 5.127 The beam AB, consisting of a...Ch. 5.5 - Prob. 127PCh. 5.5 - 5.128 and 5.129 The beam AB, consisting of a...Ch. 5.5 - 5.128 and 5.129 The beam AB, consisting of a...Ch. 5.5 - Prob. 130PCh. 5.5 - Prob. 131PCh. 5.5 - Prob. 132PCh. 5.5 - 5.132 and 5.133 A preliminary design on the use of...Ch. 5.5 - Prob. 134PCh. 5.5 - Prob. 135PCh. 5.5 - Prob. 136PCh. 5.5 - Prob. 137PCh. 5.5 - Prob. 138PCh. 5.5 - Prob. 139PCh. 5.5 - Assuming that the length and width of the cover...Ch. 5.5 - Two cover plates, each 12 in. thick, are welded to...Ch. 5.5 - Two cover plates, each 12 in. thick, are welded to...Ch. 5.5 - Prob. 143PCh. 5.5 - Prob. 144PCh. 5.5 - Two cover plates, each 7.5 mm thick, are welded to...Ch. 5.5 - Prob. 146PCh. 5.5 - Prob. 147PCh. 5.5 - For the tapered beam shown, determine (a) the...Ch. 5.5 - Prob. 149PCh. 5.5 - Prob. 150PCh. 5.5 - Prob. 151PCh. 5 - Draw the shear and bending-moment diagrams for the...Ch. 5 - Draw the shear and bending-moment diagrams for the...Ch. 5 - Determine (a) the distance a for which the...Ch. 5 - For the beam and loading shown, determine the...Ch. 5 - Draw the shear and bending-moment diagrams for the...Ch. 5 - Beam AB, of length L and square cross section of...Ch. 5 - Prob. 158RPCh. 5 - Knowing that the allowable normal stress for the...Ch. 5 - Prob. 160RPCh. 5 - (a) Using singularity functions, find the...Ch. 5 - Prob. 162RPCh. 5 - Prob. 163RP
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