Problem 6.2: The aluminum rod ABC (E=10.1x10 psi) (Figure 6.19), which consists of two cylindrical portions AB and BC, is to be replaced with a cylindrical steel rod DE (E=29x10° psi) of the same overall length. Determine the minimum required diameter d of the steel rod if its vertical deformation 12 i is not to exceed the deformation of the aluminum rod under the same load and if the allowable stress in the steel rod is not to exceed 24 ksi.

Problem 6.2: The aluminum rod ABC (E=10.1x10 psi) (Figure 6.19), which consists of two cylindrical portions AB and BC, is to be replaced with a cylindrical steel rod DE (E=29x10° psi) of the same overall length. Determine the minimum required diameter d of the steel rod if its vertical deformation 12 i is not to exceed the deformation of the aluminum rod under the same load and if the allowable stress in the steel rod is not to exceed 24 ksi.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Problem 6.2: The aluminum rod ABC (E=10.1x10°
psi) (Figure 6.19), which consists of two cylindrical
portions AB and BC, is to be replaced with a
cylindrical steel rod DE (E=29x10° psi) of the same
overall length. Determine the minimum required
diameter d of the steel rod if its vertical deformation
28 kips
25 kips
A
D
12 in.
-1.5 in.
is not to exceed the deformation of the aluminum rod
under the same load and if the allowable stress in the
steel rod is not to exceed 24 ksi.
B
- 2.25 in.
18 in.
E
Figure 6.19

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