PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 6P
Determine the distance a as a fraction of the beam’s length L for locating the roller support so that the moment in the beam at B is zero.
Prob. 7-6
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Students have asked these similar questions
A triangular distributed load of max intensity w acts on beam
AB. The beam is supported by a pin at A and member CD,
which is connected by pins at C and D respectively.
Determine the largest load intensity, Wmax, that can be
applied if the pin at D can support a maximum force of
18000 N. Also determine the reactions at A and C
and express each answer in Cartesian components. Assume
the masses of both beam and member ✓ are
negligible.
Dwas
шал
=
A
BY NC SA
2016 Eric Davishahl
C
D
-a-
Ур
-b-
X
B
W
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
6.6 m
b
11.88 m
C
4.29 m
The maximum load intensity is
=
wmax
N/m.
The reaction at A is A =
The reaction at C is
=
i+
Ĵ N.
ĴN.
12
i+
The beam is supported by a pin at B and a roller at C and is
subjected to the loading shown with w =110 lb/ft, and F
205 lb.
a.) If M
=
2,590 ft-lb, determine the support reactions at B
and C. Report your answers in both Cartesian components.
b.) Determine the largest magnitude of the applied couple M
for which the beam is still properly supported in equilibrium
with the pin and roller as shown.
2013 Michael Swanbom
CC
BY NC SA
M
ру
W
B⚫
C
F
ka
b
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
3.2 ft
b
6.4 ft
C
3 ft
a.) The reaction at B is B =
The reaction at C is C =
ĵ lb.
i+
Ĵ lb.
b.) The largest couple that can be applied is M
ft-lb.
==
i+
The beam ABC has a mass of 79.0 kg and is supported by
the rope BDC that runs through the frictionless pulley at D
. The winch at C has a mass of 36.5 kg. The tension in the
rope acts on the beam at points B and C and counteracts
the moments due to the beam's weight (acting vertically at
the midpoint of its length) and the weight of the winch
(acting vertically at point C) such that the resultant moment
about point A is equal to zero. Assume that rope segment
CD is vertical and note that rope segment BD is NOT
necessarily perpendicular to the beam.
a.) Compute the tension in the rope.
b.) Model the two forces the rope exerts on the beam as a
single equivalent force and couple moment acting at point B.
Enter your answer in Cartesian components.
c.) Model the two forces the rope exerts on the beam as a
single equivalent force (no couple) and determine the
distance from A to the point along the beam where the
equivalent force acts (measured parallel to the beam from A
). Enter your answer…
Chapter 7 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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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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