Q4 [8 marks] A beam made of the cross section shown below is made of an elastic- plastic material for which the yield stress is 360 MPa. (a) Find the plastic moment Mp [2 mark] (b) The maximum elastic moment Me [2 mark] (c) Also determine the distribution of the residual stresses in the beam after the plastic moment Mp is applied and then released [4 marks] Assume bending occurs about the x axis 40 mm +225 mm 40 mm 200 mm y 40 mm +

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.7.12P: A bungee cord that behaves linearly elastically has an unstressed length L0= 760 mm and a stiffness...
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Q4 [8 marks] A beam made of the cross section shown below is made of an elastic-
plastic material for which the yield stress is 360 MPa.
(a) Find the plastic moment Mp [2 mark]
(b) The maximum elastic moment Me [2 mark]
(c) Also determine the distribution of the residual stresses in the beam after the plastic
moment Mp is applied and then released [4 marks]
Assume bending occurs about the x axis
40 mm
+225 mm
40 mm
200 mm
y
40 mm
+
Transcribed Image Text:Q4 [8 marks] A beam made of the cross section shown below is made of an elastic- plastic material for which the yield stress is 360 MPa. (a) Find the plastic moment Mp [2 mark] (b) The maximum elastic moment Me [2 mark] (c) Also determine the distribution of the residual stresses in the beam after the plastic moment Mp is applied and then released [4 marks] Assume bending occurs about the x axis 40 mm +225 mm 40 mm 200 mm y 40 mm +
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