Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 11.4, Problem 11.35P
Determine the variation in the depth d of a cantilevered beam that supports a concentrated force P at its end so that it has a constant maximum bending stress σallow throughout its length. The beam has a constant width b0.
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The frame shown is fitted with three 50 cm diameter
frictionless pulleys. A force of F = 630 N is applied to the
rope at an angle ◊ 43°. Member ABCD is attached to the
wall by a fixed support at A. Find the forces indicated below.
Note: The rope is tangent to the pully (D) and not secured at
the 3 o'clock position.
a
b
•C
*су
G
E
e
d
BY NC SA
2013 Michael Swanbom
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
81 cm
b
50 cm
с
59 cm
d
155 cm
For all answers, take x as positive to the right and
positive upward.
At point A, the fixed support exerts a force of:
A
=
+
ĴN
and a reaction couple of:
→>
ΜΑ
Member CG is in Select an answer
magnitude
У
as
k N-m.
and carries a force of
N.
The lower jaw AB [Purple 1] and the upper jaw-handle AD
[Yellow 2] exert vertical clamping forces on the object at R.
The hand squeezes the upper jaw-handle AD [2] and the
lower handle BC [Orane 4] with forces F. (Member CD [Red 3]
acts as if it is pinned at D, but, in a real vise-grips, its
position is actually adjustable.) The clamping force, R,
depends on the geometry and on the squeezing force F
applied to the handles. Determine the proportionality
between the clamping force, R, and the squeezing force F for
the dimensions given.
d3
d4
R
1
B
d1
2
d2
D...
d5
F
4
F
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable
Value
d1
65 mm
d2
156 mm
d3
50 mm
45
d4
d5
113 mm
30 mm
R =
F
A triangular distributed load of max intensity w =460 N/m
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 reaction forces at A and C.
Enter your answers in Cartesian components. Assume the
masses of both beam AB and member CD are negligible.
cc 040
BY NC SA
2016 Eric Davishahl
W
A
C
D
-a-
B
Ул
-b-
x
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
α
5.4 m
b
8.64 m
C
3.24 m
The reaction at A is A =
i+
ĴN.
λ =
i+
Ĵ N.
The reaction at C is C =
Chapter 11 Solutions
Mechanics of Materials (10th Edition)
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