A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a rigid end plate (see figure). The bar consists of a circular steel core surrounded by a brass and copper tubes. The steel core has a diameter of 30 mm, the brass tube has outer diameter of 45 mm, and the copper tube has outer diameter of 60 mm. the corresponding moduli of elasticity are E, = 210 GPa, E, = 100 GPa, and E= 120 GPa. Copper tube Brass tube P= 40 kN Steel core 30 mm 45 mm 60 mm

Structural Analysis
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Chapter2: Loads On Structures
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29. Calculate the compressive stress in the brass tube in MPa.

A. 7.9
B. 8.2
C. 9.8
D. 10.4

 

 

A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a
rigid end plate (see figure). The bar consists of a circular steel core surrounded by a
brass and copper tubes. The steel core has a diameter of 30 mm, the brass tube has outer
diameter of 45 mm, and the copper tube has outer diameter of 60 mm. the corresponding
moduli of elasticity are E, = 210 GPa, E, = 100 GPa, and E= 120 GPa.
Copper tube
Brass tube
P= 40 kN
Steel core
30
mm
45
mm
60
mm
Transcribed Image Text:A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a rigid end plate (see figure). The bar consists of a circular steel core surrounded by a brass and copper tubes. The steel core has a diameter of 30 mm, the brass tube has outer diameter of 45 mm, and the copper tube has outer diameter of 60 mm. the corresponding moduli of elasticity are E, = 210 GPa, E, = 100 GPa, and E= 120 GPa. Copper tube Brass tube P= 40 kN Steel core 30 mm 45 mm 60 mm
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