2. A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a rigid end plate as shown in Fig. 2. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has diameter 30 mm, the brass tube has outer diameter 45 mm, and the copper tube has outer diameter 60 mm. The corresponding moduli of elasticity are Esteel= 210 GPa, Ebrass= 100 GPa and Ecoper =120 GPa respectively. Calculate the compressive stresses developed Osteel , Obrass, and Ocoper in the steel, brass and copper respectively. (5) P = 40 kN Copper tube Brass tube Steel core 30 mm 45 mm 60 mm Fig. 2

2. A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a rigid end plate as shown in Fig. 2. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has diameter 30 mm, the brass tube has outer diameter 45 mm, and the copper tube has outer diameter 60 mm. The corresponding moduli of elasticity are Esteel= 210 GPa, Ebrass= 100 GPa and Ecoper =120 GPa respectively. Calculate the compressive stresses developed Osteel , Obrass, and Ocoper in the steel, brass and copper respectively. (5) P = 40 kN Copper tube Brass tube Steel core 30 mm 45 mm 60 mm Fig. 2

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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