A simply supported beam with span of 8 m is subjected to a counterclockwise moment at the left support and a counterclockwise moment at the right support equal to 150% of the moment at left support, both acting in the plane of the minor axis of the beam. The beam is not restrained against lateral buckling. The beam is A36 steel with F =248 MPa The beam is W 21 x 62 whose relevant properties are: R,=0.053 m t,=0.016m d=0.533m S=0.002077 m b,=0.21 m

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 6.5.1P: A beam with a channel section is subjected to a bending moment M having its vector at an angle 0 to...
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A simply supported beam with span of 8 m is subjected to a counterclockwise moment at
the left support and a counterclockwise moment at the right support equal to 150% of the
moment at left support, both acting in the plane of the minor axis of the beam. The beam
is not restrained against lateral buckling. The beam is A36 steel with F,=248 MPa.
The beam is W 21 x 62 whose relevant properties are:
R,=0.053 m
t,=0.016m
d=0.533m
s=0.002077 m
b,=0.21 m
a) Determine the slenderness ratio, below which the beam is short with respect to lateral
buckling.
b) Determine the allowable flexural stress in the compression flange.
c) Determine the maximum value of the moment at the left support.
Transcribed Image Text:A simply supported beam with span of 8 m is subjected to a counterclockwise moment at the left support and a counterclockwise moment at the right support equal to 150% of the moment at left support, both acting in the plane of the minor axis of the beam. The beam is not restrained against lateral buckling. The beam is A36 steel with F,=248 MPa. The beam is W 21 x 62 whose relevant properties are: R,=0.053 m t,=0.016m d=0.533m s=0.002077 m b,=0.21 m a) Determine the slenderness ratio, below which the beam is short with respect to lateral buckling. b) Determine the allowable flexural stress in the compression flange. c) Determine the maximum value of the moment at the left support.
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