Mechanics of Materials 6th Edition Riley | Solution Manual
,CHAPTER 1
,
, PROBLEM 1.1
Two solid cylindrical rods AB and BC are welded together at B and
loaded as shown. Knowing that the average normal stress must not
exceed 175 MPa in rod AB and 150 MPa in rod BC, determine the
smallest allowable values of and d2.
SOLUTION
(a) Rod AB
P = 40 + 30 = 70 kN = 70 103N
P P 4P
AB = =
=
AAB d
4 1
2
d12
4P (4)(70 103) = 22.6 10 −3
d1 = = m d1 = 22.6 mm ◀
AB (175 106)
(b) Rod BC
P = 30 kN = 30 103N
P P 4P
BC = =
=
ABC d
4 2
2
d 22
4P (4)(30 103)
d2 = = = 15.96 10−3 m d2 = 15.96 mm ◀
BC (150 106)
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed,
reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited
distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A student using this manual is using it
without permission.
,CHAPTER 1
,
, PROBLEM 1.1
Two solid cylindrical rods AB and BC are welded together at B and
loaded as shown. Knowing that the average normal stress must not
exceed 175 MPa in rod AB and 150 MPa in rod BC, determine the
smallest allowable values of and d2.
SOLUTION
(a) Rod AB
P = 40 + 30 = 70 kN = 70 103N
P P 4P
AB = =
=
AAB d
4 1
2
d12
4P (4)(70 103) = 22.6 10 −3
d1 = = m d1 = 22.6 mm ◀
AB (175 106)
(b) Rod BC
P = 30 kN = 30 103N
P P 4P
BC = =
=
ABC d
4 2
2
d 22
4P (4)(30 103)
d2 = = = 15.96 10−3 m d2 = 15.96 mm ◀
BC (150 106)
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed,
reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited
distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A student using this manual is using it
without permission.
