xially Statically Indeterminate Structures 2.4-1 The assembty showa in the figure consists of a brass core (diameter d, = 0.25 in.) surrounded by a steel shell (inner diameter d̟ = 0.28 in., outer diameter d, = 0.35 in.). A load P compresses the core and shell, which have length L = 4.0 in, The moduli of elasticity of the brass and steel are E, = 15 × 10° psi and E, = 30 × 10º psi, respectively. (a) What load P will compress the assembly by 0.003 in.? %3D %3D

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.4.1P: The assembly shown in the figure consists of a brass core (diameter d:= 0.25 in.) surrounded by a...
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CHAPTER 2 Axially Loaded Members
Statically Indeterminate Structures
2.4-1The assembty showa in the figure consists of a brass
core (diameter d, = 0.25 in.) surrounded by a steel shell
(inner diameter d = 0.28 in., outer diameter d, = 0.35 in.).
A load P compresses the core and shell, which have length
L = 4.0 in, The moduli of elasticity of the brass and steel
are E, = 15 × 10° psi and E, = 30 × 10º psi, respectively.
(a) What loadP will compress the assembly by
0.003 in.?
(b) If the allowable stress in the steel is 22 ksi and the
allowable stress in the brass is 16 ksi, what is the allowable
compressive load Pallow? (Suggestion: Use the equations
derived in Example 2-5.)
%3D
%3D
P
(6)
Steel shell
Brass core
L.
at-E"
Transcribed Image Text:164 CHAPTER 2 Axially Loaded Members Statically Indeterminate Structures 2.4-1The assembty showa in the figure consists of a brass core (diameter d, = 0.25 in.) surrounded by a steel shell (inner diameter d = 0.28 in., outer diameter d, = 0.35 in.). A load P compresses the core and shell, which have length L = 4.0 in, The moduli of elasticity of the brass and steel are E, = 15 × 10° psi and E, = 30 × 10º psi, respectively. (a) What loadP will compress the assembly by 0.003 in.? (b) If the allowable stress in the steel is 22 ksi and the allowable stress in the brass is 16 ksi, what is the allowable compressive load Pallow? (Suggestion: Use the equations derived in Example 2-5.) %3D %3D P (6) Steel shell Brass core L. at-E"
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