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 1. Calculate the compressive stress in the steel core in MPa due to the force P. D. 21.8 В. 28.3 Calculate the compressive stress in the brass tube in MPa. В. 8.2 Calculate the compressive stress in the copper tube in MPa. В. 14.2 А. 25.1 С. 22.4 2. А. 7.9 С. 9.8 D. 10.4 3. A. 12.5 С. 16.4 D. 17.8

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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, Es = 100 GPa, and E. = 120 GPa.
P= 40 kN
Copper tube Brass tube
Steel core
30
mm
45
mm
60
mm
Calculate the compressive stress in the steel core in MPa due to the force P.
А. 25.1
Calculate the compressive stress in the brass tube in MPa.
A. 7.9
Calculate the compressive stress in the copper tube in MPa.
1.
В. 28.3
С. 22.4
D. 21.8
2.
В. 8.2
С. 9.8
D. 10.4
3.
А. 12.5
В. 14.2
С. 16.4
D. 17.8
1A
1B
10
O 1D
2A
2B
20
2D
ЗА
O 3B
O 30
O 3D
O O O O O O O O O O O O
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, Es = 100 GPa, and E. = 120 GPa. P= 40 kN Copper tube Brass tube Steel core 30 mm 45 mm 60 mm Calculate the compressive stress in the steel core in MPa due to the force P. А. 25.1 Calculate the compressive stress in the brass tube in MPa. A. 7.9 Calculate the compressive stress in the copper tube in MPa. 1. В. 28.3 С. 22.4 D. 21.8 2. В. 8.2 С. 9.8 D. 10.4 3. А. 12.5 В. 14.2 С. 16.4 D. 17.8 1A 1B 10 O 1D 2A 2B 20 2D ЗА O 3B O 30 O 3D O O O O O O O O O O O O
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