A beam is built-up from the following A36 plates: 420x20 plates as flanges and 500x20 plate as web. The beam is simply-supported and subjected to concentrated load at midspan. The member is laterally supported at the ends only.   Limiting L Values: Lp = 4.762 m Lr = 11.810 m Section Properties: A = 27200 mm2 Ix = 1 370 026 667 mm4 Sx = 5 269 333.333 mm3 rx = 224.430 mm Iy = 246 960 000 mm4 Sy =  1 176 000 mm3 ry = 95.286 mm J = 3 626 666.667 mm4 c = 1.0 (doubly symmetric I-shaped member) rts = 110.753 mm ho = 520 mm   Compute for the ultimate moment capacity (in kN-m) of the beam if it spans 4m.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A beam is built-up from the following A36 plates: 420x20 plates as flanges and 500x20 plate as web. The beam is simply-supported and subjected to concentrated load at midspan. The member is laterally supported at the ends only.

 

Limiting L Values:
Lp = 4.762 m
Lr = 11.810 m


Section Properties:

A = 27200 mm2
Ix = 1 370 026 667 mm4
Sx = 5 269 333.333 mm3
rx = 224.430 mm
Iy = 246 960 000 mm4
Sy =  1 176 000 mm3
ry = 95.286 mm
J = 3 626 666.667 mm4
c = 1.0 (doubly symmetric I-shaped member)
rts = 110.753 mm
ho = 520 mm

 

Compute for the ultimate moment capacity (in kN-m) of the beam if it spans 4m.

 

Please answer this asap. For upvote

Thank you so much

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