The aluminum rod ABC (E = 10.1 × 106 psi), which consists of two cylindrical portions AB and BC, is to be replaced with a cylindrical steel rod DE (E = 29 × 106 psi) of the same overall length. Determine the minimum required diameter d of the steel rod if its vertical deformation 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 27 ksi. The minimum required diameter of the steel rod is  in.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The aluminum rod ABC (E = 10.1 × 106 psi), which consists of two cylindrical portions AB and BC, is to be replaced with a cylindrical steel rod DE (E = 29 × 106 psi) of the same overall length. Determine the minimum required diameter d of the steel rod if its vertical deformation 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 27 ksi. The minimum required diameter of the steel rod is  in.

The aluminum rod ABC (E = 10.1 × 106 psi), which consists of two cylindrical portions AB and BC, is to be
replaced with a cylindrical steel rod DE (E = 29 × 106 psi) of the same overall length. Determine the minimum
required diameter d of the steel rod if its vertical deformation 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 27 ksi.
28 kips
12 in. →
18 in.
↑
A
-1.5 in.
B
-2.25 in.
C
28 kips
D
↑
E
-d
The minimum required diameter of the steel rod is
in.
Transcribed Image Text:The aluminum rod ABC (E = 10.1 × 106 psi), which consists of two cylindrical portions AB and BC, is to be replaced with a cylindrical steel rod DE (E = 29 × 106 psi) of the same overall length. Determine the minimum required diameter d of the steel rod if its vertical deformation 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 27 ksi. 28 kips 12 in. → 18 in. ↑ A -1.5 in. B -2.25 in. C 28 kips D ↑ E -d The minimum required diameter of the steel rod is in.
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