978-0073398167 Chapter 14 Solution Manual Part 5

subject Type Homework Help
subject Pages 17
subject Words 880
subject Authors David Mazurek, E. Johnston, Ferdinand Beer, John DeWolf

Unlock document.

This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
page-pf1
PROBLEM 14.39
Solve Prob. 14.23, using Mohr’s circle.
PROBLEM 14.23 The steel pipe AB has a 102-mm outer
diameter and a 6-mm wall thickness. Knowing that arm CD is
rigidly attached to the pipe, determine the principal stresses and
page-pf2
PROBLEM 14.39 (Continued)
page-pf3
PROBLEM 14.40
Solve Prob. 14.24, using Mohr’s circle.
PROBLEM 14.24 For the state of plane stress shown, determine the largest
value of
y
σ
for which the maximum in-plane shearing stress is equal to or
less than 75 MPa.
SOLUTION
60 MPa, ?, 20 MPa
x y xy
σ στ
= = =
Given:
max
22 22
75 MPa
2 150 MPa
(2)( ) 40 MPa
150 40 144.6 MPa
xy
R
XY R
DY
XD XY DY
τ
τ
= =
= =
= =
= − = −=
60 144.6
yx
XD
σσ
=+=+
205 MPa
y
σ
=
page-pf4
PROBLEM 14.41
For the state of plane stress shown, determine (
a) the largest value of
xy
τ
for which the maximum in-plane shearing stress is equal to or less
than 12 ksi, (
b) the corresponding principal stresses.
consent of McGraw-Hill Education.
page-pf5
PROBLEM 14.42
For the element shown, determine the range of values of
xy
τ
for which the
maximum in-plane shearing stress is equal to or less than 150 MPa.
SOLUTION
20MPa 120 MPa
1( ) 50 MPa
2
xy
xy
σσ
σσ
=−=
−=
Set
max(in-plane)
150 MPaR
τ
= =
But
2
2
2
2
22
2
2
150 50
141.4 MPa
xy xy
xy
xy
R
R
σσ τ
σσ
τ

= +



= 

= −
=
Range of :
xy
τ
141.4 MPa 141.4 MPa
xy
τ
− ≤≤
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written
consent of McGraw-Hill Education.
page-pf6
page-pf7
PROBLEM 14.44
Solve Prob. 14.43, assuming that the weld forms an angle of 60° with the
horizontal.
PROBLEM 14.43: For the state of plane stress shown, use Mohr’s circle to
determine (a) the value of τxy for which the in-plane shearing stress parallel
to the weld is zero, (b) the corresponding principal stresses.
SOLUTION
12 2 7 MPa
+
page-pf8
PROBLEM 14.45
Determine the principal planes and the principal
stresses for the state of plane stress resulting from the
superposition of the two states of stress shown.
SOLUTION
page-pf9
PROBLEM 14.46
Determine the principal planes and the principal
stresses for the state of plane stress resulting
from the superposition of the two states of
stress shown.
page-pfa
PROBLEM 14.47
Determine the principal planes and the principal
stresses for the state of plane stress resulting from the
superposition of the two states of stress shown.
PROBLEM 14.39 (Continued)
PROBLEM 14.40
Solve Prob. 14.24, using Mohr’s circle.
PROBLEM 14.24 For the state of plane stress shown, determine the largest
value of
y
σ
for which the maximum in-plane shearing stress is equal to or
less than 75 MPa.
SOLUTION
60 MPa, ?, 20 MPa
x y xy
σ στ
= = =
Given:
max
22 22
75 MPa
2 150 MPa
(2)( ) 40 MPa
150 40 144.6 MPa
xy
R
XY R
DY
XD XY DY
τ
τ
= =
= =
= =
= − = −=
60 144.6
yx
XD
σσ
=+=+
205 MPa
y
σ
=
PROBLEM 14.41
For the state of plane stress shown, determine (
a) the largest value of
xy
τ
for which the maximum in-plane shearing stress is equal to or less
than 12 ksi, (
b) the corresponding principal stresses.
consent of McGraw-Hill Education.
PROBLEM 14.42
For the element shown, determine the range of values of
xy
τ
for which the
maximum in-plane shearing stress is equal to or less than 150 MPa.
SOLUTION
20MPa 120 MPa
1( ) 50 MPa
2
xy
xy
σσ
σσ
=−=
−=
Set
max(in-plane)
150 MPaR
τ
= =
But
2
2
2
2
22
2
2
150 50
141.4 MPa
xy xy
xy
xy
R
R
σσ τ
σσ
τ

= +



= 

= −
=
Range of :
xy
τ
141.4 MPa 141.4 MPa
xy
τ
− ≤≤
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written
consent of McGraw-Hill Education.
PROBLEM 14.44
Solve Prob. 14.43, assuming that the weld forms an angle of 60° with the
horizontal.
PROBLEM 14.43: For the state of plane stress shown, use Mohr’s circle to
determine (a) the value of τxy for which the in-plane shearing stress parallel
to the weld is zero, (b) the corresponding principal stresses.
SOLUTION
12 2 7 MPa
+
PROBLEM 14.45
Determine the principal planes and the principal
stresses for the state of plane stress resulting from the
superposition of the two states of stress shown.
SOLUTION
PROBLEM 14.46
Determine the principal planes and the principal
stresses for the state of plane stress resulting
from the superposition of the two states of
stress shown.
PROBLEM 14.47
Determine the principal planes and the principal
stresses for the state of plane stress resulting from the
superposition of the two states of stress shown.

Trusted by Thousands of
Students

Here are what students say about us.

Copyright ©2022 All rights reserved. | CoursePaper is not sponsored or endorsed by any college or university.