Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Textbook Question
Chapter 9, Problem 9.9.5P
A simple beam ACB supports a uniform load of intensity q on the left-hand half of the span (see figure).
Determine the angle of rotation ÔBat support B>(Obtain the solution by using the modified form of Castigliano's theorem.)
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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
Chapter 9 Solutions
Mechanics of Materials (MindTap Course List)
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Calculate the deflection at point C of a beam...Ch. 9 - Compound beam ABC is loaded by point load P = 1.5...Ch. 9 - The compound beam shown in the figure consists of...Ch. 9 - -33 Find the horizontal deflection hand verti cal...Ch. 9 - The fr a me A BCD shown in the heure is squeezed...Ch. 9 - A framework A BCD is acted on by counterclockwise...Ch. 9 - A framework A BCD is acted on by force P at 2L/3...Ch. 9 - A beam ABCDE has simple supports at B and D and...Ch. 9 - A frame ABC is loaded at point C by a force P...Ch. 9 - The wing of a large commercial jet is represented...Ch. 9 - The wing of a small plane is represented by a...Ch. 9 - Find an expression for required moment MA(in terms...Ch. 9 - Find an expression for required moment MA(in terms...Ch. 9 - Find required distance d (in terms of L) so that...Ch. 9 - A cantilever beam has two triangular loads as...Ch. 9 - -1 A cantilever beam AB is subjected to a uniform...Ch. 9 - The load on a cantilever beam AB has a triangular...Ch. 9 - A cantilever beam AB is subjected to a...Ch. 9 - Determine the angle of rotation BBand the...Ch. 9 - -5 Calen1ate the deflections S 3a ndCh. 9 - A cantileverbeam^Cßsupportstwo concentrated loads...Ch. 9 - Obtain formulas for the angle of rotation 0Aat...Ch. 9 - A simple beam AB supports two concentrated loads P...Ch. 9 - A simple beam AB is subjected to a load in the...Ch. 9 - -10 The simple beam AB shown in the figure...Ch. 9 - A simple beam AB is subjected to couples M0and 2A0...Ch. 9 - The cantilever beam ACB shown in the figure has...Ch. 9 - The cantilever beam ACB shown in the figure...Ch. 9 - Beam ACB hangs from two springs, as shown in the...Ch. 9 - -4 A simple beam ABCD has moment of inertia I near...Ch. 9 - A beam ABC has a rigid segment from A to B and a...Ch. 9 - A simple beam ABC has a moment of inertia 1,5 from...Ch. 9 - The tapered cantilever beam AB shown in the figure...Ch. 9 - The tapered cantilever beam AB shown in the figure...Ch. 9 - A tapered cantilever beam A B supports a...Ch. 9 - A tapered cantilever beam AB supports a...Ch. 9 - Repeat Problem 97-10, but now use the tapered...Ch. 9 - A simple beam ACE is constructed with square cross...Ch. 9 - A uniformly loaded simple beam AB (see figure) of...Ch. 9 - A simple beam AB of length L supports a...Ch. 9 - A propped cantilever beam AB of length L and with...Ch. 9 - A simple beam AB of length L is subjected to loads...Ch. 9 - A beam ABC with simple supports at A and B and an...Ch. 9 - A simple beam ACB supporting a uniform load q over...Ch. 9 - The frame shown in the figure consists of a beam...Ch. 9 - A simple beam AB of length L is loaded at the...Ch. 9 - The simple beam shown in the figure supports a...Ch. 9 - An overhanging beam ABC supports a concentrated...Ch. 9 - The cantilever beam shown in the figure supports a...Ch. 9 - A simple beam ACB supports a uniform load of...Ch. 9 - A cantilever beam ACB supports two concentrated...Ch. 9 - The cantilever beam A CB shown in the hgure is...Ch. 9 - The frame A BC support s a concentrated load P at...Ch. 9 - A simple beam ABC DE supports a uniform load of...Ch. 9 - An overhanging beam ABC is subjected to a couple...Ch. 9 - An overhanging beam ABC rests on a simple support...Ch. 9 - A symmetric beam A BCD with overhangs at both ends...Ch. 9 - A heavy object of weight W is dropped onto the...Ch. 9 - An object of weight Wis dropped onto the midpoint...Ch. 9 - A cantilever beam AB of length L = 6 It is...Ch. 9 - A weight W = 20 kN falls through a height h = 1,0...Ch. 9 - A weight W = 4000 lb falls through a height h =...Ch. 9 - An overhanging beam ABC with a rectangular cross...Ch. 9 - A heavy flywheel rotates at an angular speed m...Ch. 9 - A simple beam AB of length L and height /;...Ch. 9 - A cantilever beam JA of length Land height/; (see...Ch. 9 - An overhanging beam ABC of height h has a sliding...Ch. 9 - A simple beam AB of length L and height h (see...Ch. 9 - Beam AB has an elastic support kR at A, pin...
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