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01 Combined Stresses

The document discusses the mechanics of materials, focusing on the relationships for determining stress and deformation under various loading conditions such as axial, torsional, bending, and shear loads. It highlights the importance of considering combined stresses that structural and machine components may experience simultaneously, including combinations of shear load with bending moment, axial load with bending moment, axial load with torsional loads, and bending moment with torsional load. The content is part of the third edition of a textbook authored by Ferdinand P. Beer and E. Russell Johnston.

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0% found this document useful (0 votes)
9 views3 pages

01 Combined Stresses

The document discusses the mechanics of materials, focusing on the relationships for determining stress and deformation under various loading conditions such as axial, torsional, bending, and shear loads. It highlights the importance of considering combined stresses that structural and machine components may experience simultaneously, including combinations of shear load with bending moment, axial load with bending moment, axial load with torsional loads, and bending moment with torsional load. The content is part of the third edition of a textbook authored by Ferdinand P. Beer and E. Russell Johnston.

Uploaded by

mertdemirtas20
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Third Edition

MECHANICS OF
MATERIALS
Ferdinand P. Beer
E. Russell Johnston
Combined Stresses

© 2002 The McGraw-Hill Companies, Inc. All rights reserved.

MECHANICS OF MATERIALS
Edition
Third

Beer • Johnston • DeWolf

Loading and Stress

The relationships for determining the state of


stress and deformation in members due to the
fundamental types of loads which are;
• axially centric load,
P

A

• torsional load,
T

J

© 2002 The McGraw-Hill Companies, Inc. All rights reserved. 8-2


1
MECHANICS OF MATERIALS
Edition
Third
Beer • Johnston • DeWolf

Loading and Stress

• bending loading

My
 
I

• shear loading

VQ

It

© 2002 The McGraw-Hill Companies, Inc. All rights reserved. 8-3

MECHANICS OF MATERIALS
Edition
Third

Beer • Johnston • DeWolf

Loading and Stress

• Thin-walled pressure vessel


– Cylinder

pr pr
1  2 
t 2t

– Sphere

pr
1   2 
2t

have been demonstrated previously.


© 2002 The McGraw-Hill Companies, Inc. All rights reserved. 8-4
2
MECHANICS OF MATERIALS
Edition
Third
Beer • Johnston • DeWolf

Combined Stresses

Structural and machine components often


resist more than one type of loading acting
simultaneously.
For example, a shaft in torsion may be
subjected to bending because of its own
weight at the same instance.
Therefore, the effects of combined loadings
should be considered.

© 2002 The McGraw-Hill Companies, Inc. All rights reserved. 8-5

MECHANICS OF MATERIALS
Edition
Third

Beer • Johnston • DeWolf

Combined stresses

The combined loadings which will be studied


are:

1.Shear load + Bending moment


2.Axial load + Bending moment
3.Axial load + Torsional loads
4.Bending moment + Torsional load

© 2002 The McGraw-Hill Companies, Inc. All rights reserved. 8-6


3

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