A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through arigid end plate (see figure). The bar consists of a circular steel core surrounded by abrass and copper tubes. The steel core has a diameter of 30 mm, the brass tube has outerdiameter of 45 mm, and the copper tube has outer diameter of 60 mm. the correspondingmoduli of elasticity are E, = 210 GPa, Es = 100 GPa, and E. = 120 GPa.P= 40 kNCopper tube Brass tubeSteel core30mm45mm60mmCalculate the compressive stress in the steel core in MPa due to the force P.А. 25.1Calculate the compressive stress in the brass tube in MPa.A. 7.9Calculate the compressive stress in the copper tube in MPa.1.В. 28.3С. 22.4D. 21.82.В. 8.2С. 9.8D. 10.43.А. 12.5В. 14.2С. 16.4D. 17.81A1B10O 1D2A2B202DЗАO 3BO 30O 3DO O O O O O O O O O O O

Let s - Steel, b - brass and c - copper As = π4(ds)2 = π4(30)2 = 706.86 mm2 Ab = π4(db2 - ds2 ) =…

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

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

Section: Chapter Questions

Problem 1P

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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

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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