A built up beam is made up of 1250 mm x 9 mm web section and two flange  sections of 620 x 20 mm plate. It has a span of 14 m and carries a uniform load of 40 kN/m  including the self-weight. Use A 36 steel Fy = 248 MPa.  a) Compute the elastic section modulus of the given beam.  b) Compute the radius of gyration of the given beam.  c) Compute the plastic section modulus of the given beam.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A built up beam is made up of 1250 mm x 9 mm web section and two flange 
sections of 620 x 20 mm plate. It has a span of 14 m and carries a uniform load of 40 kN/m 
including the self-weight. Use A 36 steel Fy = 248 MPa. 
a) Compute the elastic section modulus of the given beam. 
b) Compute the radius of gyration of the given beam. 
c) Compute the plastic section modulus of the given beam. 
d) If the allowable bending stress is 124.66 MPa, compute the safe concentrated 
load that it could carry at its mid span besides the uniform load. 
e) Determine if the section is compact, non-compact or slender

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