EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137569830
Author: HIBBELER
Publisher: VST
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Chapter 7, Problem 107P
The cable supports a girder which weighs 850 lb/ft. Determine the tension in the cable at points A, B, and C.
Prob. 7–107
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An elastic bar of the length L and cross section area A is rigidly attached
to the ceiling of a room, and it supports a mass M. Due to the
acceleration of gravity g the rod deforms vertically. The deformation of
the rod is measured by the vertical displacement u(x) governed by the
following equations:
dx
(σ(x)) + b(x) = 0
PDE
σ(x) = Edx
du
Hooke's law
(1)
b(x) = gp=
body force per unit volume
where E is the constant Young's modulus, p is the density, and σ(x) the
axial stress in the rod.
g
* I u(x)
L
2
An elastic bar of the length L and cross section area A is rigidly attached
to the ceiling of a room, and it supports a mass M. Due to the
acceleration of gravity g the rod deforms vertically. The deformation of
the rod is measured by the vertical displacement u(x) governed by the
following equations:
dx
(σ(x)) + b(x) = 0
PDE
σ(x) = Edx
du
Hooke's law
(1)
b(x) = gp=
body force per unit volume
where E is the constant Young's modulus, p is the density, and σ(x) the
axial stress in the rod.
g
* I u(x)
L
2
Chapter 7 Solutions
EBK ENGINEERING MECHANICS
Ch. 7 - Determine the normal force, shear force, and...Ch. 7 - Determine the normal force, shear force, and...Ch. 7 - Determine the normal force, shear force, and...Ch. 7 - Determine the normal force, shear force, and...Ch. 7 - Determine the normal force, shear force, and...Ch. 7 - Determine the normal force, shear force, and...Ch. 7 - Determine the shear force and moment at points C...Ch. 7 - The pliers are used to grip the tube at B. If a...Ch. 7 - Determine the distance a as a fraction of the...Ch. 7 - The cable will fail when subjected to a tension of...
Ch. 7 - Determine the distance a between the bearings in...Ch. 7 - The cantilevered rack is used to support each end...Ch. 7 - Rod AB is fixed to a smooth collar D, which slides...Ch. 7 - Prob. 22PCh. 7 - Determine the normal force, shear force, and...Ch. 7 - The distributed loading W = W0 sin , measured per...Ch. 7 - Solve Prob. 7-39 for = 120. Probs. 739/40Ch. 7 - Determine the x, y, z components of force and...Ch. 7 - Determine the x, y, z components of internal...Ch. 7 - Determine the shear and moment as a function of x,...Ch. 7 - Determine the shear and moment as a function of x,...Ch. 7 - Determine the shear and moment as a function of x,...Ch. 7 - Determine the shear and moment as a function of x,...Ch. 7 - Determine the shear and moment as a function of x,...Ch. 7 - Determine the shear and moment as a function of x,...Ch. 7 - Draw the shear and moment diagrams for the shaft...Ch. 7 - Draw the shear and moment diagrams for the beam...Ch. 7 - Draw the shear and moment diagrams for the beam...Ch. 7 - Draw the shear and moment diagrams for the...Ch. 7 - Draw the shear and moment diagrams of the beam (a)...Ch. 7 - If L = 9 m, the beam will fail when the maximum...Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - The shaft is supported by a smooth thrust bearing...Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - The shaft is supported by a smooth thrust bearing...Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Prob. 65PCh. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - The cable supports the three loads shown....Ch. 7 - Prob. 95PCh. 7 - Determine the tension in each segment of the cable...Ch. 7 - Prob. 97PCh. 7 - The cable supports the loading shown. Determine...Ch. 7 - The cable supports the three loads shown....Ch. 7 - The cable supports the three loads shown....Ch. 7 - Determine the maximum uniform loading w, measured...Ch. 7 - The cable is subjected to a uniform loading of w =...Ch. 7 - If x = 2 ft and the crate weighs 300 lb, which...Ch. 7 - If yB = 1.5 ft. determine the largest weight of...Ch. 7 - The cable supports a girder which weighs 850...Ch. 7 - If the pipe has a mass per unit length of 1500...Ch. 7 - Prob. 110PCh. 7 - The cable will break when the maximum tension...Ch. 7 - Prob. 2RPCh. 7 - Prob. 3RPCh. 7 - Prob. 4RPCh. 7 - Draw the shear and moment diagrams for the beam....Ch. 7 - A chain is suspended between points at the same...
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