Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 4.30P
Calculate the force in the tie rod BC and the reaction at the pinned support at point A for the rigid frame shown.
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A crate weighs 530 lb and is hung by three ropes attached to
a steel ring at A such that the top surface is parallel to the
xy plane. Point A is located at a height of h = 42 in above
the top of the crate directly over the geometric center of the
top surface. Use the dimensions given in the table below to
determine the tension in each of the three ropes.
2013 Michael Swanbom
cc00
BY NC SA
↑ Z
C
b
B
У
a
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
30 in
b
43 in
4.5 in
The tension in rope AB is 383
x lb
The tension in rope AC is 156
x lb
The tension in rope AD is 156
x lb
A block of mass m hangs from the end of bar AB that is 7.2
meters long and connected to the wall in the xz plane. The
bar is supported at A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported at end
B by cables BD and BC that connect to the xz plane at
points C and D respectively with coordinates given in the
figure. Cable BD is elastic and can be modeled as a linear
spring with a spring constant k = 400 N/m and unstretched
length of 6.34 meters.
Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
D
(c, 0, d)
(a, 0, b)
A
B
y
f
m
cc 10
BY
NC SA
2016 Eric Davishahl
x
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
8.1 m
b
3.3 m
с
2.7 m
d
3.9 m
e
2 m
f
5.4 m
The mass of the block is 68.8
The compressive force in bar AB is
364
× kg.
× N.
The tension in cable BC is 393
× N.
Chapter 4 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 4 - and 4.2 Sketch free-body diagram for the members...Ch. 4 - Sketch free-body diagram for the members shown.Ch. 4 - A steel cylinder having a mass of 120 kgis...Ch. 4 - A 50-lb block is supported by a pin support and a...Ch. 4 - A cylinder weighing 200 lb is supported on an...Ch. 4 - A weight W is supported by a flexible cable and an...Ch. 4 - The ladder shown is supported by a smooth...Ch. 4 - What horizontal force F applied at the center of...Ch. 4 - Calculate the force in cable AB and the angle (...Ch. 4 - Calculate the horizontal force F that should be...
Ch. 4 - Calculate the reactions of the two smooth inclined...Ch. 4 - Calculate the force in each cable for the...Ch. 4 - Three members of a truss intersect at joint B as...Ch. 4 - Four concurrent forces in equilibrium act at point...Ch. 4 - The beam shown carries vertical concentrated...Ch. 4 - Find the reactions at A and B for the beam shown....Ch. 4 - A simply supported beam spans 10 m. The beam...Ch. 4 - The beam shown carries vertical loads. Calculate...Ch. 4 - Calculate the reaction at each support for the...Ch. 4 - Calculate the reactions at A and B for the beam...Ch. 4 - Calculate the reactions at A and B for the beam...Ch. 4 - A 12-ft simple beam is supported at each end. It...Ch. 4 - The beam shown carries vertical loads as...Ch. 4 - Determine the reactions for the beam shown. The...Ch. 4 - Calculate the reaction at each support for the...Ch. 4 - Calculate the wall reactions for the cantilever...Ch. 4 - Determine the reactions at supports A and B of the...Ch. 4 - A mass M of 300 kg is supported by a boom, as...Ch. 4 - Rework Problem 4.28 assuming that point D has been...Ch. 4 - Calculate the force in the tie rod BC and the...Ch. 4 - The davit shown is used in pairs for...Ch. 4 - For the following computer problems, any...Ch. 4 - For the following computer problems, any...Ch. 4 - For the following computer problems, any...Ch. 4 - For the structure shown, draw free-body diagram...Ch. 4 - A 1200-lb load is supported by a cable that runs...Ch. 4 - For the pin-connected frame shown, sketch a...Ch. 4 - For the concurrent force system shown, calculate...Ch. 4 - A strut having a mass of 40 kg/m is supported by a...Ch. 4 - Calculate the reaction at each support for the...Ch. 4 - Calculate the reaction at each support for the...Ch. 4 - A beam supports a nonuniformly distributed load as...Ch. 4 - Calculate the reactions at each support for the...Ch. 4 - Compute reactions at each support for the beam...Ch. 4 - A rod of uniform cross section weighs 4 lb/ft and...Ch. 4 - A 12-ft-long weightiness member supports two...Ch. 4 - A uniform rod AB, having a weight of 5.00 lb and a...Ch. 4 - The plastic barrel tent anchor of Problem 2.11...Ch. 4 - Compute the reactions at A and B for the bracket...Ch. 4 - The truss shown is supported by a pin at A and a...Ch. 4 - Find the reactions at supports A and B for the...Ch. 4 - Find the reactions at supports A and B for the...Ch. 4 - Determine the reactions at A and B for the truss...Ch. 4 - A 40-ft ladder weighing 130 lb is pin-connected to...Ch. 4 - The frame shown is pin-connected at point A and...Ch. 4 - Prob. 4.56SPCh. 4 - A horizontal beam is pin-connected to a wall at...Ch. 4 - Calculate the force in the cable for the structure...Ch. 4 - The Thenard shutter dam shown was originally...Ch. 4 - An inclined railway can be used to lift heavy...Ch. 4 - Two cylinders are supported in a box, as shown....
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