A W530x92 supports a uniformly distributed load of 12 kN/m (including the weight of the beam) and equal concentrated load P at quarter points (L/4, L/2, and 3L/4). The compression flange is laterally supported at quarter points and at the ends. The beam is 12m simply supported. Using A36 steel, the beam has the following properties: d = 533 mm %3D bf = 209 mm %3D tf = 15.6 mm tw 10.2 mm %3D k = 32 mm ry = 44.9 mm %3D Sx = 2070 x 10^3 mm^3 Zx = 2360 x 10^3 mm^3 Es = 200,000 MPa %3D Ix = 552 x 10^6 MPa Find the maximum allowable load P so that it will not exceed its maximum allowable moment capacity. Use conservative assumption for Cb. Consider all the necessary failure that could happen.

Steel Design (Activate Learning with these NEW titles from Engineering!)
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ISBN:9781337094740
Author:Segui, William T.
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Chapter10: Plate Girders
Section: Chapter Questions
Problem 10.7.8P
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A W530x92 supports a uniformly distributed
load of 12 kN/m (including the weight of the
beam) and equal concentrated load P at quarter
points (L/4, L/2, and 3L/4). The compression
flange is laterally supported at quarter points
and at the ends. The beam is 12m simply
supported. Using A36 steel, the beam has the
following properties:
d = 533 mm
%3D
bf = 209 mm
%3D
tf = 15.6 mm
tw
10.2 mm
%3D
k = 32 mm
ry = 44.9 mm
%3D
Sx = 2070 x 10^3 mm^3
Zx = 2360 x 10^3 mm^3
Es = 200,000 MPa
%3D
\x 3 552 х 10^6 MРа
Find the maximum allowable load P so that it
will not exceed its maximum allowable moment
capacity. Use conservative assumption for Cb.
Consider all the necessary failure that could
happen.
Transcribed Image Text:A W530x92 supports a uniformly distributed load of 12 kN/m (including the weight of the beam) and equal concentrated load P at quarter points (L/4, L/2, and 3L/4). The compression flange is laterally supported at quarter points and at the ends. The beam is 12m simply supported. Using A36 steel, the beam has the following properties: d = 533 mm %3D bf = 209 mm %3D tf = 15.6 mm tw 10.2 mm %3D k = 32 mm ry = 44.9 mm %3D Sx = 2070 x 10^3 mm^3 Zx = 2360 x 10^3 mm^3 Es = 200,000 MPa %3D \x 3 552 х 10^6 MРа Find the maximum allowable load P so that it will not exceed its maximum allowable moment capacity. Use conservative assumption for Cb. Consider all the necessary failure that could happen.
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