Question 12.P.10: A concrete slab 175 mm thick and 2 m wide is supported by, a...

A concrete slab 175 mm thick and 2 m wide is supported by, and firmly connected to, a 457 mm × 152 mm × 74 kg/m Universal Beam whose actual depth is 461.3 mm and whose cross-sectional area is 9490 mm². If \sigma_{cu} = 30 N/mm² and \sigma_{Y} = 350 N/mm², find the moment of resistance of the resultant steel and concrete beam.

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Equating the compressive force in the concrete to the tensile force in the steel

0.4 × 30 × 2 × 10^{3} n=0.87 × 350 × 9490

so that

n = 120.4 mm

Taking moments about the line of action of the resultant compressive force in the concrete

M × 10^{6}=0.87 × 350 × 9490(405.7-87.5)

i.e.

M = 919.5 kN m

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