A long solid rectangular section beam, length L=1.4m, width b=40mm and depth 2k=100mm, is subject to uniform distributed loading W per unit length, as shown. The beam is made from alloy steel with yield strength oy = 665 MPa.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.10.11P: A hollow box beam with height h = 16 in,, width h = 8 in,, and constant wall thickness r = 0.75 LiL...
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A long solid rectangular section beam, length L=1.4m, width b=40mm and depth 2h=100mm,
is subject to uniform distributed loading W per unit length, as shown. The beam is made from
alloy steel with yield strength oy = 665 MPa.
yf
W
2h
L/2
L/2
b
Show that first yield will occur simultaneously on the top and bottom sur faces at the middle of
the beam when the load W = Wy, where:
16bh?oy
Wy =
31?
Calculate the numerical value of Wy.
Transcribed Image Text:A long solid rectangular section beam, length L=1.4m, width b=40mm and depth 2h=100mm, is subject to uniform distributed loading W per unit length, as shown. The beam is made from alloy steel with yield strength oy = 665 MPa. yf W 2h L/2 L/2 b Show that first yield will occur simultaneously on the top and bottom sur faces at the middle of the beam when the load W = Wy, where: 16bh?oy Wy = 31? Calculate the numerical value of Wy.
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