Solution Manual For Mechanics of Materials, 7th Edition by Ferdinand P. Beer, E. Russell Johnston Jr, John T. DeWolf, David F. Mazurek| Updated Version 2026 A+

Solution manual

, CHAPTER 1



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, d1 125 kN B
d2 PROBLEM 1.1
C
A
Two solid cylindrical rods AB and BC are
60 kN welded together at B and loaded as shown.
Knowing that d1  30 mm and d 2  50 mm,
125 kN
find the average normal stress at the
0.9 m 1.2 m midsection of (a) rod AB, (b) rod BC.



SOLUTION

(a) Rod AB:

Force: P  60  103 N tension
 
Area: A d12  (30  103 ) 2  706.86  106 m 2
4 4
P 60  103
Normal stress:  AB    84.882  106 Pa  AB  84.9 MPa 
A 706.86  106
(b) Rod BC:

Force: P  60  103  (2)(125  103 )  190  103 N
 
Area: A d 22  (50  103 )2  1.96350  103 m 2
4 4
P 190  103
Normal stress:  BC    96.766  106 Pa
A 1.96350  103
 BC  96.8 MPa 




PROPRIETARY MATERIAL. Copyright © 2015 McGraw-Hill Education. This is proprietary material solely for authorized instructor use.
Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted
on a website, in whole or part.

3


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, d1 125 kN B
d2 PROBLEM 1.2
C
A
Two solid cylindrical rods AB and BC are
60 kN
welded together at B and loaded as shown.
Knowing that the average normal stress must
125 kN not exceed 150 MPa in either rod, determine
the smallest allowable values of the diameters
0.9 m 1.2 m
d1 and d2.



SOLUTION

(a) Rod AB:

Force: P  60  103 N
Stress:  AB  150  106 Pa
 2
Area: A d1
4
P P
 AB   A
A  AB
 P
d12 
4  AB
4P (4)(60  103 )
d12    509.30  106 m 2
 AB  (150  106 )
d1  22.568  103 m d1  22.6 mm 
(b) Rod BC:

Force: P  60  103  (2)(125  103 )  190  103 N
Stress:  BC  150  106 Pa
 2
Area: A d2
4
P 4P
 BC  
A  d 22
4P (4)(190  103 )
d 22    1.61277  103 m 2
 BC  (150  106 )
d 2  40.159  103 m d 2  40.2 mm 




PROPRIETARY MATERIAL. Copyright © 2015 McGraw-Hill Education. This is proprietary material solely for authorized instructor use.
Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted
on a website, in whole or part.

4


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