Question 4: A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E=29×106 psi and o; = 42 ksi. A bending couple is applied to the beam about the z axis, causing plastic zones 2 in. thick to develop at the top and bottom of the beam. After the couple has been removed, determine (a) the residual stress at y=2 in., (b) the points where the residual stress is zero, (c) the radius of curvature corresponding to the permanent deformation of the beam. 1 in. 2 in. 1 in. 1 in. 1 in. l in.
Question 4: A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E=29×106 psi and o; = 42 ksi. A bending couple is applied to the beam about the z axis, causing plastic zones 2 in. thick to develop at the top and bottom of the beam. After the couple has been removed, determine (a) the residual stress at y=2 in., (b) the points where the residual stress is zero, (c) the radius of curvature corresponding to the permanent deformation of the beam. 1 in. 2 in. 1 in. 1 in. 1 in. l in.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 4: A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E=29×106
psi and o; = 42 ksi. A bending couple is applied to the beam about the z axis, causing plastic zones 2 in. thick to
develop at the top and bottom of the beam. After the couple has been removed, determine (a) the residual stress at y=2
in., (b) the points where the residual stress is zero, (c) the radius of curvature corresponding to the permanent
deformation of the beam.
1 in.
2 in.
1 in.
1 in.
1 in.
l in.
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