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. σ (MPa) 4 E₂ = 7.5 GPa 1 -7 120 MPa B E₁ = 14.5 GPa 3 P = 21 kN

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.11P: The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y...
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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 

Question 1: Stress and Strain
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)
E₂ = 7.5 GPa
1
120 MPa
E₁ = 14.5 GPa
stress-strain curve
1
B
900 mm
3
P = 21 kN
+2400 mm-
Figure Q1
Transcribed Image Text:Question 1: Stress and Strain 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) E₂ = 7.5 GPa 1 120 MPa E₁ = 14.5 GPa stress-strain curve 1 B 900 mm 3 P = 21 kN +2400 mm- Figure Q1
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