An l-beam of the cross section shown is subject to pure bending. The elastic perfectly plastic material of the beam has a yield stress Y. Determine (a) The ratio of the fully plastic moment Mp and the maximum elastic moment My. (b) The residual stress distribution in the beam when the beam is unloaded from its fully plastic state. 50 mm 10 mm C2 10 mm 40 mm 10 mm 10 mm 30 mm (a)

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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An l-beam of the cross section shown is subject to pure bending.
The elastic perfectly plastic material of the beam has a yield
stress Y. Determine
(a) The ratio of the fully plastic moment Mp and the maximum
elastic moment My.
(b) The residual stress distribution in the beam when the beam
is unloaded from its fully plastic state.
50 mm
10 mm
C2
10 mm
N.
40 mm
+10 mm
10 mm
+30 mm
(a)
Transcribed Image Text:An l-beam of the cross section shown is subject to pure bending. The elastic perfectly plastic material of the beam has a yield stress Y. Determine (a) The ratio of the fully plastic moment Mp and the maximum elastic moment My. (b) The residual stress distribution in the beam when the beam is unloaded from its fully plastic state. 50 mm 10 mm C2 10 mm N. 40 mm +10 mm 10 mm +30 mm (a)
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