Mechanics Of Materials, Si Edition
9th Edition
ISBN: 9789810694364
Author: Russell C Hibbeler
Publisher: Pearson Education
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Textbook Question
Chapter 3, Problem 3.38RP
The wires each have a diameter of
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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 3 Solutions
Mechanics Of Materials, Si Edition
Ch. 3.5 - Define a homogeneous material.Ch. 3.5 - Indicate the points on the stress-strain diagram...Ch. 3.5 - Define the modulus of elasticity E.Ch. 3.5 - At room temperature, mild steel is a ductile...Ch. 3.5 - Engineering stress and strain are calculated using...Ch. 3.5 - As the temperature increases the modulus of...Ch. 3.5 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.5 - A bar has a length of 8 in. and cross-sectional...Ch. 3.5 - A 10-mm-diameter rod has a modulus of elasticity...Ch. 3.5 - The material for the 50-mm-long specimen has the...
Ch. 3.5 - The material for the 50-mm-long specimen has the...Ch. 3.5 - If the elongation of wire BC is 0.2 mm after the...Ch. 3.5 - A tension test was performed on a steel specimen...Ch. 3.5 - Data taken from a stress-strain test for a ceramic...Ch. 3.5 - Data taken from a stress-strain test for a ceramic...Ch. 3.5 - Prob. 3.4PCh. 3.5 - 3-5. A tension test was performed on a steel...Ch. 3.5 - 3-6. A specimen is originally 1 ft long, has a...Ch. 3.5 - Prob. 3.7PCh. 3.5 - Prob. 3.8PCh. 3.5 - 3-9. The ?-? diagram for elastic fibers that make...Ch. 3.5 - Prob. 3.10PCh. 3.5 - Prob. 3.11PCh. 3.5 - Prob. 3.12PCh. 3.5 - A bar having a length of 5 in. and cross-sectional...Ch. 3.5 - The rigid pipe is supported by a pin at A and an...Ch. 3.5 - Prob. 3.15PCh. 3.5 - Prob. 3.16PCh. 3.5 - Prob. 3.17PCh. 3.5 - Prob. 3.18PCh. 3.5 - The stress-strain diagram for a bone is shown, and...Ch. 3.5 - The stress-strain diagram for a bone is shown and...Ch. 3.5 - The two bars are made of a material that has the...Ch. 3.5 - The two bars are made of a material that has the...Ch. 3.5 - Prob. 3.23PCh. 3.5 - Prob. 3.24PCh. 3.8 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.8 - A solid circular rod that is 600 mm long and 20 mm...Ch. 3.8 - A 20-mm-wide block is firmly bonded to rigid...Ch. 3.8 - A 20-mm-wide block is bonded to rigid plates at...Ch. 3.8 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 3.8 - 3–26. The thin-walled tube is subjected to an...Ch. 3.8 - 3-27. When the two forces are placed on the beam,...Ch. 3.8 - Prob. 3.28PCh. 3.8 - Prob. 3.29PCh. 3.8 - The lap joint is connected together using a 1.25...Ch. 3.8 - The lap joint is connected together using a 1.25...Ch. 3.8 - Prob. 3.32PCh. 3.8 - Prob. 3.33PCh. 3.8 - A shear spring is made from two blocks of rubber,...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The rigid beam rests in the horizontal position on...Ch. 3 - The wires each have a diameter of 12 in., length...Ch. 3 - The wires each have a diameter of 12 in., length...Ch. 3 - diameter steel bolts. If the clamping force in...Ch. 3 - The stress-strain diagram for polyethylene, which...Ch. 3 - The pipe with two rigid caps attached to its ends...Ch. 3 - The 8-mm-diameter bolt is made of an aluminum...Ch. 3 - An acetal polymer block is fixed to the rigid...
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