Answered: structural system

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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Question

A structural system consists of three joined bars of
different materials and geometries, as shown in the
figure. Bar ➀ is aluminum alloy, bar ➁ is cold rolled
brass, and bar ➂ is tempered alloy steel. Properties
and dimensions of all three are shown in the figure.
Initially, the entire system is free of stresses, but
then the right support is moved 3 mm to the right
whereas the left support remains fixed in space.
Determine the stress in each bar due to this 3 mm
displacement.

A1 = 4 × 10¬ª m²
E, = 70 GPa
Az = 5 × 10-ª m²
E = 105 GPa
Az =2 x 10-ª m?
Е, - 200 GPa
L, = 0.5 m
L2= 0.3 m
L3 = 0.4 m

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