Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 1.7, Problem 1.93P
The rods AB and CD are made of steel. Determine their smallest diameter so that they can support the dead loads shown. The beam is assumed to be pin connected at A and C. Use the LRFD method, where the resistance factor for steel in tension is ϕ = 0.9. and the dead load factor is γD = 1.4. The failure stress is σfail = 345 MPa.
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A triangular distributed load of max intensity w acts on beam
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Determine the largest load intensity, Wmax, that can be
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A
BY NC SA
2016 Eric Davishahl
C
D
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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
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205 lb.
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with the pin and roller as shown.
2013 Michael Swanbom
CC
BY NC SA
M
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B⚫
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F
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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 =
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ĵ lb.
i+
Ĵ lb.
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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
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necessarily perpendicular to the beam.
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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
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Chapter 1 Solutions
Mechanics of Materials (10th Edition)
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