A two-bar system has the configuration shown in the Figure Q1 below. The cross-sectional area for tension bar AB is 150 mm² and for tension bar BC is 100 mm². If the stress-strain curve for the bars is bilinear as shown, how much would each wire elongates due to the application of vertical force P = 21 kN.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A two-bar system has the configuration shown in the Figure Q1 below. The cross-sectional
area for tension bar AB is 150 mm² and for tension bar BC is 100 mm². If the stress-strain
curve for the bars is bilinear as shown, how much would each wire elongates due to the
application of vertical force P = 21 kN.
4
σ (MPa)
E₂² = 7.5 GPa
120 MPa
E₁
= 14.5 GPa
stress-strain curve
1
3
P = 21 kN
B
900 mm
2400 mm-
Figure Q1
a.) Calculate the stresses of tension bars AB and BC.
b.) Calculate the elongation of tension bars AB and BC
c.) Calculate the displacement of joint B
Transcribed Image Text:A two-bar system has the configuration shown in the Figure Q1 below. The cross-sectional area for tension bar AB is 150 mm² and for tension bar BC is 100 mm². If the stress-strain curve for the bars is bilinear as shown, how much would each wire elongates due to the application of vertical force P = 21 kN. 4 σ (MPa) E₂² = 7.5 GPa 120 MPa E₁ = 14.5 GPa stress-strain curve 1 3 P = 21 kN B 900 mm 2400 mm- Figure Q1 a.) Calculate the stresses of tension bars AB and BC. b.) Calculate the elongation of tension bars AB and BC c.) Calculate the displacement of joint B
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