Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)
5th Edition
ISBN: 9780134301006
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3.8, Problem 87P
To determine
The resultant force and the location of the resultant force.
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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 3 Solutions
Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)
Ch. 3.4 - In each case, determine the moment of the force...Ch. 3.4 - In each case, set up the determinant to find the...Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the resultant moment produced by the...Ch. 3.4 - Determine the resultant moment produced by the...
Ch. 3.4 - Prob. 9FPCh. 3.4 - Prob. 10FPCh. 3.4 - Determine the moment of force F about point O....Ch. 3.4 - If F1 = {100i 120j + 75k} lb and F2 = {200i +...Ch. 3.4 - Prob. 1PCh. 3.4 - Prove the triple scalar product identity A(B C) =...Ch. 3.4 - Given the three nonzero vectors A, B, and C, show...Ch. 3.4 - Determine the moment about point A of each of the...Ch. 3.4 - Determine the moment about point B of each of the...Ch. 3.4 - Prob. 6PCh. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Prob. 9PCh. 3.4 - If FB= 30 lb and FC = 45 lb, determine the...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - Prob. 13PCh. 3.4 - The 20-N horizontal force acts on the handle of...Ch. 3.4 - Two men exert forces of F = 80 lb and P = 50 lb on...Ch. 3.4 - If the man at B exerts a force of P = 30 lb on the...Ch. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - The handle of the hammer is subjected to the force...Ch. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - The tower crane is used to hoist the 2-Mg load...Ch. 3.4 - The tower crane is used to hoist a 2-Mg load...Ch. 3.4 - Prob. 25PCh. 3.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 3.4 - Prob. 27PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 3.4 - Prob. 30PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - Prob. 32PCh. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - A force of F = {6i 2j + lk) kN produces a moment...Ch. 3.4 - The force F = {6i + 8j + l0k} N creates a moment...Ch. 3.5 - In each case, determine the resultant moment of...Ch. 3.5 - In each case, set up the determinant needed to...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the 200-N...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 17FPCh. 3.5 - Determine the moment of force F about the x, the...Ch. 3.5 - The lug nut on the wheel of the automobile is to...Ch. 3.5 - Prob. 40PCh. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 42PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the moment of force F about an axis...Ch. 3.5 - Prob. 45PCh. 3.5 - The board is used to hold the end of the cross lug...Ch. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 48PCh. 3.5 - Prob. 49PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 51PCh. 3.5 - Prob. 52PCh. 3.5 - Determine the moment of the force about the aa...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Prob. 21FPCh. 3.6 - Prob. 22FPCh. 3.6 - Prob. 23FPCh. 3.6 - Prob. 24FPCh. 3.6 - A clockwise couple M = 5 N m is resisted by the...Ch. 3.6 - A twist of 4 N m is applied to the handle of the...Ch. 3.6 - If the resultant couple of the three couples...Ch. 3.6 - If F = 125 1b, determine the resultant couple...Ch. 3.6 - Determine the magnitude of F so that the resultant...Ch. 3.6 - Determine the magnitude and coordinate direction...Ch. 3.6 - Prob. 60PCh. 3.6 - Prob. 61PCh. 3.6 - Prob. 62PCh. 3.6 - Prob. 63PCh. 3.6 - Express the moment of the couple acting on the...Ch. 3.6 - If the couple moment acting on the pipe has a...Ch. 3.6 - Prob. 66PCh. 3.6 - Prob. 67PCh. 3.6 - Express the moment of the couple acting on the rod...Ch. 3.6 - Prob. 69PCh. 3.6 - Prob. 70PCh. 3.7 - In each case, determine the x and y components of...Ch. 3.7 - Prob. 25FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 27FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 29FPCh. 3.7 - Prob. 30FPCh. 3.7 - Prob. 71PCh. 3.7 - Prob. 72PCh. 3.7 - Prob. 73PCh. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Prob. 76PCh. 3.7 - Replace the loading acting on the post by an...Ch. 3.7 - Replace the loading acting on the post by a...Ch. 3.7 - Prob. 79PCh. 3.7 - Prob. 80PCh. 3.7 - Prob. 81PCh. 3.7 - Prob. 82PCh. 3.7 - Prob. 83PCh. 3.7 - Replace the force of F = 80 N acting on the pipe...Ch. 3.7 - Prob. 85PCh. 3.7 - The belt passing over the pulley is subjected to...Ch. 3.8 - In each case, determine the x and y components of...Ch. 3.8 - Prob. 7PPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Prob. 32FPCh. 3.8 - Prob. 33FPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Replace the loading by an equivalent single...Ch. 3.8 - Prob. 36FPCh. 3.8 - Prob. 87PCh. 3.8 - Prob. 88PCh. 3.8 - Prob. 89PCh. 3.8 - Prob. 90PCh. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - 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Prob. 40FPCh. 3.9 - Prob. 41FPCh. 3.9 - Prob. 42FPCh. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Replace the distributed loading with an equivalent...Ch. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Currently eighty-five percent of all neck injuries...Ch. 3.9 - Prob. 112PCh. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Prob. 115PCh. 3.9 - Determine the equivalent resultant force and...Ch. 3.9 - Determine the magnitude of the equivalent...Ch. 3 - The boom has a length of 30 ft, a weight of 800...Ch. 3 - Replace the force F having a magnitude of F = 50...Ch. 3 - The hood of the automobile is supported by the...Ch. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - The building slab is subjected to four parallel...Ch. 3 - Replace the distributed loading by an equivalent...
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