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A composite bar BCD has a uniform external radius R, = (x+2) cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius R;= 1cm bonded inside a steel sleeve. The lengths of the two segments are Lac=2 m and LcD = 1 m. The material moduli are Eesl = 200 GPa and Ecogper = 100 GPa. The bar is fixed at B and tensile loads are applied at section D (FD = 1000 kN) and at section C (Fc = 400 kN).- Compute the following: 1. Axial stress of steel in segment BC in MPa. 2. Axial stress of steel in segment CD in MPa. 3. Axial stress of copper in segment CD in MPa. 4. Total elongation of the assembly in mm.

A composite bar BCD has a uniform external radius R, = (x+2) cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius R;= 1cm bonded inside a steel sleeve. The lengths of the two segments are Lac=2 m and LcD = 1 m. The material moduli are Eesl = 200 GPa and Ecogper = 100 GPa. The bar is fixed at B and tensile loads are applied at section D (FD = 1000 kN) and at section C (Fc = 400 kN).- Compute the following: 1. Axial stress of steel in segment BC in MPa. 2. Axial stress of steel in segment CD in MPa. 3. Axial stress of copper in segment CD in MPa. 4. Total elongation of the assembly in mm.

Structural Analysis
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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A composite bar BCD has a uniform extemal radius R, = (x+2) cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius R;= 1cm bonded inside a steel sleeve. The lengths of the two segments are Lgc = 2 m and LCD= 1 m. The material moduli are Esel = 200 GPa and Ecoper = 100 GPa. The bar is fixed at B and tensile loads are applied at section D (FD = 1000 kN) and at section C (Fc = 400 kN). Compute the following: 1. Axial stress of steel in segment BC in MPa. 2. Axial stress of steel in segment CD in MPa. 3. Axial stress of copper in segment CD in MPa. 4. Total elongation of the assembly in mm. 2m в 1m 400 KN 1000 KN
Transcribed Image Text:A composite bar BCD has a uniform extemal radius R, = (x+2) cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius R;= 1cm bonded inside a steel sleeve. The lengths of the two segments are Lgc = 2 m and LCD= 1 m. The material moduli are Esel = 200 GPa and Ecoper = 100 GPa. The bar is fixed at B and tensile loads are applied at section D (FD = 1000 kN) and at section C (Fc = 400 kN). Compute the following: 1. Axial stress of steel in segment BC in MPa. 2. Axial stress of steel in segment CD in MPa. 3. Axial stress of copper in segment CD in MPa. 4. Total elongation of the assembly in mm. 2m в 1m 400 KN 1000 KN
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