2.4-1 The assembly shown in the figure consists of a brass core (diameter d, = 0.25 in.) surrounded by a steel shell (inner diameter dz = 0.28 in., outer diameter dz = 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 x 10° psi and E, = 30 × 10ª psi, respectively. (a) What load P 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.) Steel shell Brass core L. -dz PROB. 2.4-1

Mechanics of Materials (MindTap Course List)
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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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2.4-1 The assembly shown in the figure consists of a brass
core (diameter di = 0.25 in.) surrounded by a steel shell
(inner diameter dz = 0.28 in., outer diameter dz = 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 x 10° psi and E, = 30 x 10°psi, respectively.
(a) What load P 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.)
Steel shell
Brass core
di
-ds
PROB. 2.4-1
Transcribed Image Text:2.4-1 The assembly shown in the figure consists of a brass core (diameter di = 0.25 in.) surrounded by a steel shell (inner diameter dz = 0.28 in., outer diameter dz = 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 x 10° psi and E, = 30 x 10°psi, respectively. (a) What load P 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.) Steel shell Brass core di -ds PROB. 2.4-1
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