A composite bar BCD has a uniform external radius Ro = (8+2) cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius Ri = 1cm bonded inside a steel sleeve. The lengths of the two segments are LBC = 2 m and LCD = 1 m. The material moduli are Esteel = 200 GPa and Ecopper = 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: a.) Axial stress of steel in segment BC in MPa. b.) Axial stress of steel in segment CD in MPa. c.) Axial stress of copper in segment CD in MPa. d.) Total elongation of the assembly in mm.
A composite bar BCD has a uniform external radius Ro = (8+2) cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius Ri = 1cm bonded inside a steel sleeve. The lengths of the two segments are LBC = 2 m and LCD = 1 m. The material moduli are Esteel = 200 GPa and Ecopper = 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: a.) Axial stress of steel in segment BC in MPa. b.) Axial stress of steel in segment CD in MPa. c.) Axial stress of copper in segment CD in MPa. d.) Total elongation of the assembly in mm.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter7: Length And Length-related Variables In Engineering
Section: Chapter Questions
Problem 42P
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A composite bar BCD has a uniform external radius Ro = (8+2) cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius Ri = 1cm bonded inside a steel sleeve. The lengths of the two segments are LBC = 2 m and LCD = 1 m. The material moduli are Esteel = 200 GPa and Ecopper = 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:
a.) Axial stress of steel in segment BC in MPa.
b.) Axial stress of steel in segment CD in MPa.
c.) Axial stress of copper in segment CD in MPa.
d.) Total elongation of the assembly in mm.
Transcribed Image Text:2m
B
1m
D
400 KN
1000 KN
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