Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 14.3, Problem 5P
Determine the normal stress and shear stress acting on the inclined plane AB. Solve the problem using the stress transformation equations. Show the results on the sectional element.
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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 14 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 14.3 - In each ease, the state of stress x, y, xy...Ch. 14.3 - Given the state of stress shown on the element,...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Prob. 2FPCh. 14.3 - Determine the equivalent state of stress on an...Ch. 14.3 - Prob. 4FPCh. 14.3 - The beam is subjected to the load at its end....Ch. 14.3 - Prob. 6FPCh. 14.3 - Prove that the sum of the normal stresses x+y=x+y...Ch. 14.3 - Determine the stress components acting on the...
Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Prob. 6PCh. 14.3 - Prob. 7PCh. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the equivalent state of stress on an...Ch. 14.3 - Prob. 12PCh. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine (a) the principal stresses and (b) the...Ch. 14.3 - Prob. 15PCh. 14.3 - Prob. 16PCh. 14.3 - Prob. 17PCh. 14.3 - Prob. 18PCh. 14.3 - Prob. 19PCh. 14.3 - Prob. 20PCh. 14.3 - Prob. 21PCh. 14.3 - The state of stress at a point in a member is...Ch. 14.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 14.3 - Prob. 24PCh. 14.3 - The internal loadings at a section of the beam are...Ch. 14.3 - The internal loadings at a section of the beam are...Ch. 14.3 - Prob. 27PCh. 14.3 - Prob. 28PCh. 14.3 - The beam has a rectangular cross section and is...Ch. 14.3 - A paper tube is formed by rolling a cardboard...Ch. 14.3 - Prob. 31PCh. 14.3 - The 2-in.-diameter drive shaft AB on the...Ch. 14.3 - Determine the principal stresses in the...Ch. 14.3 - The internal loadings at a cross section through...Ch. 14.3 - The internal loadings at a cross section through...Ch. 14.3 - Prob. 36PCh. 14.3 - The steel pipe has an inner diameter of 2.75 in....Ch. 14.3 - Prob. 38PCh. 14.3 - The wide-flange beam is subjected to the 50-kN...Ch. 14.3 - Prob. 40PCh. 14.3 - The box beam is subjected to the 26-kN force that...Ch. 14.3 - The box beam is subjected to the 26-kN force that...Ch. 14.4 - Use Mohrs circle to determine the normal stress...Ch. 14.4 - Prob. 8FPCh. 14.4 - Prob. 9FPCh. 14.4 - Prob. 10FPCh. 14.4 - Prob. 11FPCh. 14.4 - Prob. 12FPCh. 14.4 - Solve Prob. 142 using Mohrs circle. 14-2.Determine...Ch. 14.4 - Solve Prob. 143 using Mohrs circle. 143.Determine...Ch. 14.4 - Determine the stress components acting on the...Ch. 14.4 - Solve Prob. 1410 using Mohrs circle. 149.Determine...Ch. 14.4 - Solve Prob. 1415 using Mohrs circle. 1415.The...Ch. 14.4 - Solve Prob. 1416 using Mohrs circle....Ch. 14.4 - Prob. 49PCh. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine the equivalent state of stress if an...Ch. 14.4 - Draw Mohrs circle that describes each of the...Ch. 14.4 - Draw Mohrs circle that describes each of the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stress and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Prob. 60PCh. 14.4 - The grains of wood in the board make an angle of...Ch. 14.4 - The post is fixed supported at its base and a...Ch. 14.4 - Determine the principal stresses, the maximum...Ch. 14.4 - The thin-walled pipe has an inner diameter of 0.5...Ch. 14.4 - The frame supports the triangular distributed load...Ch. 14.4 - The frame supports the triangular distributed load...Ch. 14.4 - Prob. 67PCh. 14.4 - The pedal crank for a bicycle has the cross...Ch. 14.4 - A spherical pressure vessel has an inner radius of...Ch. 14.4 - The cylindrical pressure vessel has an inner...Ch. 14.4 - Prob. 71PCh. 14.4 - Determine the principal stress at point D, which...Ch. 14.4 - If the box wrench is subjected to the 50 lb force,...Ch. 14.4 - If the box wrench is subjected to the 50-lb force,...Ch. 14.4 - Prob. 75PCh. 14.5 - Draw the three Mohrs circles that describe each of...Ch. 14.5 - Draw the three Mohrs circles that describe the...Ch. 14.5 - Draw the three Mohrs circles that describe the...Ch. 14.5 - Determine the principal stresses and the absolute...Ch. 14.5 - Prob. 80PCh. 14.5 - Prob. 81PCh. 14.5 - Prob. 82PCh. 14.8 - Prove that the sum of the normal strains in...Ch. 14.8 - The state of strain at the point on the arm has...Ch. 14.8 - The state of strain at the point on the pin leaf...Ch. 14.8 - The state of strain at the point on the pin leaf...Ch. 14.8 - Prob. 88PCh. 14.8 - The state of strain at a point on the bracket has...Ch. 14.8 - Prob. 90PCh. 14.8 - Prob. 91PCh. 14.8 - Prob. 92PCh. 14.8 - Prob. 93PCh. 14.8 - Prob. 94PCh. 14.8 - Prob. 95PCh. 14.8 - Prob. 96PCh. 14.8 - Prob. 97PCh. 14.8 - The state of strain on the element has components...Ch. 14.8 - Solve Prob. 1486 using Mohrs circle. 1486.The...Ch. 14.8 - Solve Prob. 1487 using Mohrs circle. 1486.The...Ch. 14.8 - Solve Prob. 1488 using Mohrs circle. 1488.The...Ch. 14.8 - Solve Prob. 1491 using Mohrs circle. 1491.The...Ch. 14.8 - Solve Prob. 1490 using Mohrs circle. 1489.The...Ch. 14.11 - The strain at point A on the bracket has...Ch. 14.11 - The strain at point A on a beam has components...Ch. 14.11 - The strain at point A on the pressure-vessel wall...Ch. 14.11 - The 45 strain rosette is mounted on the surface of...Ch. 14.11 - Prob. 109PCh. 14.11 - Use Hookes law, Eq. 1432, to develop the strain...Ch. 14.11 - Prob. 111PCh. 14.11 - A rod has a radius of 10 mm. If it is subjected to...Ch. 14.11 - The polyvinyl chloride bar is subjected to an...Ch. 14.11 - The polyvinyl chloride bar is subjected to an...Ch. 14.11 - The spherical pressure vessel has an inner...Ch. 14.11 - Determine the bulk modulus for each of the...Ch. 14.11 - The strain gage is placed on the surface of the...Ch. 14.11 - The principal strains at a point on the aluminum...Ch. 14.11 - Prob. 119PCh. 14.11 - Prob. 120PCh. 14.11 - The cube of aluminum is subjected to the three...Ch. 14.11 - The principal strains at a point on the aluminum...Ch. 14.11 - A uniform edge load of 500 lb/in. and 350 lb/in....Ch. 14.11 - Prob. 124PCh. 14 - The steel pipe has an inner diameter of 2.75 in....Ch. 14 - Prob. 2RPCh. 14 - Prob. 3RPCh. 14 - The crane is used to support the 350-lb load....Ch. 14 - In the case of plane stress, where the in-plane...Ch. 14 - The plate is made of material having a modulus of...Ch. 14 - If the material is graphite for which Eg = 800 ksi...Ch. 14 - A single strain gage, placed in the vertical plane...Ch. 14 - The 60 strain rosette is mounted on a beam. The...
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