Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 11.4, Problem 9FP
If the beam is subjected to a bending moment of M = 20 kN · m, determine the maximum bending stress in the beam.
Prob. F11-9
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A crate weighs 530 lb and is hung by three ropes attached to
a steel ring at A such that the top surface is parallel to the
xy plane. Point A is located at a height of h = 42 in above
the top of the crate directly over the geometric center of the
top surface. Use the dimensions given in the table below to
determine the tension in each of the three ropes.
2013 Michael Swanbom
cc00
BY NC SA
↑ Z
C
b
B
У
a
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
30 in
b
43 in
4.5 in
The tension in rope AB is 383
x lb
The tension in rope AC is 156
x lb
The tension in rope AD is 156
x lb
A block of mass m hangs from the end of bar AB that is 7.2
meters long and connected to the wall in the xz plane. The
bar is supported at A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported at end
B by cables BD and BC that connect to the xz plane at
points C and D respectively with coordinates given in the
figure. Cable BD is elastic and can be modeled as a linear
spring with a spring constant k = 400 N/m and unstretched
length of 6.34 meters.
Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
D
(c, 0, d)
(a, 0, b)
A
B
y
f
m
cc 10
BY
NC SA
2016 Eric Davishahl
x
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
8.1 m
b
3.3 m
с
2.7 m
d
3.9 m
e
2 m
f
5.4 m
The mass of the block is 68.8
The compressive force in bar AB is
364
× kg.
× N.
The tension in cable BC is 393
× N.
Chapter 11 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 11.2 - In each case, the beam is subjected to the...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - Prob. 5FPCh. 11.2 - Prob. 6FPCh. 11.2 - In each ease, draw the shear and moment diagrams...Ch. 11.2 - Prob. 8FPCh. 11.2 - Prob. 1P
Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - Express the shear and moment in terms of x for 0 ...Ch. 11.2 - Express the internal shear and moment in the...Ch. 11.2 - Prob. 6PCh. 11.2 - Express the internal shear and moment in terms of...Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - If the force applied to the handle of the load...Ch. 11.2 - Draw the shear and moment diagrams for the shaft....Ch. 11.2 - The crane is used to support the engine, which has...Ch. 11.2 - Prob. 12PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Members ABC and BD of the counter chair are...Ch. 11.2 - A reinforced concrete pier is used to support the...Ch. 11.2 - Draw the shear and moment diagrams for the beam...Ch. 11.2 - The industrial robot is held in the stationary...Ch. 11.2 - Determine the placement distance a of the roller...Ch. 11.2 - Prob. 20PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - The 150-lb man sits in the center of the boat,...Ch. 11.2 - Prob. 24PCh. 11.2 - The footing supports the load transmitted by the...Ch. 11.2 - Prob. 26PCh. 11.2 - Prob. 27PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Prob. 30PCh. 11.2 - Prob. 31PCh. 11.2 - Prob. 32PCh. 11.2 - The shaft is supported by a smooth thrust bearing...Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the rod....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Prob. 38PCh. 11.2 - Draw the shear and moment diagrams for the double...Ch. 11.2 - Draw the shear and moment diagrams for the simply...Ch. 11.2 - The compound beam is fixed at A, pin connected at...Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - The compound beam is fixed at A, pin connected at...Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - A short link at B is used to connect beams AB and...Ch. 11.2 - The truck is to be used to transport the concrete...Ch. 11.4 - Determine the moment of inertia of the cross...Ch. 11.4 - Prob. 3PPCh. 11.4 - In each case, show how the bending stress acts on...Ch. 11.4 - Prob. 5PPCh. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - Prob. 12FPCh. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - An A-36 steel strip has an allowable bending...Ch. 11.4 - Determine the moment M that will produce a maximum...Ch. 11.4 - Determine the maximum tensile and compressive...Ch. 11.4 - The beam is constructed from four pieces of wood,...Ch. 11.4 - The beam is constructed from four pieces of wood,...Ch. 11.4 - The beam is made from three boards nailed together...Ch. 11.4 - Prob. 53PCh. 11.4 - If the built-up beam is subjected to an internal...Ch. 11.4 - If the built-up beam is subjected to an internal...Ch. 11.4 - Prob. 56PCh. 11.4 - Determine the moment M that should be applied to...Ch. 11.4 - Prob. 58PCh. 11.4 - Prob. 59PCh. 11.4 - The beam is subjected to a moment of 15 kip ft....Ch. 11.4 - The beam is subjected to a moment of 15 kip ft....Ch. 11.4 - Prob. 62PCh. 11.4 - The steel shaft has a diameter of 2 in. It is...Ch. 11.4 - The beam is made of steel that has an allowable...Ch. 11.4 - Prob. 65PCh. 11.4 - Solve Prob. 11-65 if the moment M = 50 N m is...Ch. 11.4 - The shaft is supported by smooth journal bearings...Ch. 11.4 - Prob. 68PCh. 11.4 - Prob. 69PCh. 11.4 - The strut on the utility pole supports the cable...Ch. 11.4 - Prob. 71PCh. 11.4 - Prob. 72PCh. 11.4 - Determine the smallest allowable diameter of the...Ch. 11.4 - Prob. 74PCh. 11.4 - The shaft is supported by a thrust bearing at A...Ch. 11.4 - If the intensity of the load w = 15 kN/m,...Ch. 11.4 - If the allowable bending stress is allow = 150...Ch. 11.4 - The beam is subjected to the triangular...Ch. 11.4 - The beam has a rectangular cross section with b =...Ch. 11.4 - Determine the absolute maximum bending stress in...Ch. 11.4 - If the compound beam in Prob. 11-42 has a square...Ch. 11.4 - Prob. 82PCh. 11.4 - Prob. 83PCh. 11.4 - Determine, to the nearest millimeter, the smallest...Ch. 11.4 - Prob. 85PCh. 11.4 - Determine the absolute maximum bending stress in...Ch. 11.4 - Determine the smallest diameter of the shaft to...Ch. 11.4 - Prob. 88PCh. 11.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 11.4 - The simply supported truss is subjected to the...Ch. 11.4 - Prob. 92PCh. 11.4 - Prob. 93PCh. 11.4 - Prob. 94PCh. 11.4 - The beam has the rectangular cross section shown....Ch. 11.5 - Determine the bending stress developed at corners...Ch. 11.5 - Prob. 15FPCh. 11.5 - Prob. 96PCh. 11.5 - Prob. 97PCh. 11.5 - Prob. 98PCh. 11.5 - Prob. 99PCh. 11.5 - Determine the bending stress at point A of the...Ch. 11.5 - The steel shaft is subjected to the two loads. If...Ch. 11.5 - Prob. 102PCh. 11.5 - Prob. 103PCh. 11.5 - Prob. 104PCh. 11 - Determine the shape factor for the wide-flange...Ch. 11 - The compound beam consists of two segments that...Ch. 11 - A shaft is made of a polymer having a parabolic...Ch. 11 - Determine the maximum bending stress in the handle...Ch. 11 - Determine the shear and moment in the beam as...Ch. 11 - A wooden beam has a square cross section as shown....Ch. 11 - Prob. 7RPCh. 11 - The strut has a square cross section a by a and is...
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