A composite bar BCD has a uniform external radius R. = 9cm. Segment BC is solid steel, while segment CD iscomposed of a copper core of radius R:= 1cm bonded inside a steel sleeve. The lengths of the two segments areLBc= 2 m and LcD= 1 m. The material moduli are Etei= 200 GPa and Ecope= 100 GPa. The bar is fixed at B andtensile loads are applied at section D (F»= 1000 kN) and at section C (Fc=400 kN). Compute the following:Determine the axial stress of steel in segment CD in MPa.2mB1mD400 KN1000 KN

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Answered: A composite bar BCD has a uniform…

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 external radius Ro = 5 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: Axial stress of steel in segment BC in MPa. Axial stress of steel in segment CD in MPa. Axial stress of copper in segment CD in MPa. Total elongation of the assembly in mm.
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A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 73 GPa] bars, as shown. The beam is subjected to a bending moment of 445 N-m acting about the z axis. Using a = 15 mm, b = 125 mm, c = 30 mm, and d = 75 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum C Aluminum Answers: (a) Ogl Brass (b) Obr= i i b Brass a MPa MPa
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Bar A-B-C is made from a fully bonded composite of two materials as shown in the cross section below. Find the Z displacement at point C. A C 1.10 m 20 kN B 1.25 m 50 kN с Y I cross section c-c Uz = 5 mm, material 1 5 mm, material 2 5 mm, material 1 25 mm Material 1 E = 240 (GPa) Material 2 E = 180 (GPa) mm (at C)
Q1 A cantilever composite beam is formed by bonding together brass bar (EB = 100 GPa) and aluminium (EA = 70 GPa) with cross section and loading at free end as shown in Figure Q1. Parameter x, y, and z are given by: X=0 Y=0 Z=2 (a) Determine the centroid and the moment of inertia of the composite section. (b) Calculate the maximum tensile and compressive stresses in the brass and aluminium. brass 5x mm (10 mm 20mm |4y mm 0.5(4y) mm M=2.z kN.m 4y mm aluminium Figure Q1 |

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