A flooring system consists of parallel I-beam sections spaced at 3 m. on centers simply supported over a span of 9 m. The beam supports a 200 mm thick concrete slab of ultimate strength f’c = 21 MPa. The flooring system is designed for as ceiling and floor load of 750 N/m2. The properties of the I=beam sections are: A = 11,500 mm^2d = 350 mm; tw = 10 mmbf = 250 mm; tf = 16 mmIx = 266x10^6 mm^4Iy = 45 x 10^6 mm^4Fy = 248 MPaWb = 90 kg/mFy = 248MPa If each beam is laterally braced by the concrete slab, calculate the allowable bending strength using safety factor of 1.67. = Ma =kN•mCalculate the service floor live load =kPa each beam can sustain in bending under allowable stress design method.Calculate the service floor live load =kPa each beam can sustain under LRFD method using a resistance factor of 0.90.

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Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A flooring system consists of parallel I-beam sections spaced at 3 m. on centers simply supported over a span of 9 m. The beam supports a 200 mm thick concrete slab of ultimate strength f’c = 21 MPa. The flooring system is designed for as ceiling and floor load of 750 N/m². The properties of the I=beam sections are:

A = 11,500 mm^2

d = 350 mm; tw = 10 mm

bf = 250 mm; tf = 16 mm

Ix = 266x10^6 mm^4

Iy = 45 x 10^6 mm^4

Fy = 248 MPa

W_b = 90 kg/m

F_y = 248MPa

If each beam is laterally braced by the concrete slab, calculate the allowable bending strength using safety factor of 1.67. = Ma =
kN•m
Calculate the service floor live load =
kPa each beam can sustain in bending under allowable stress design method.
Calculate the service floor live load =
kPa each beam can sustain under LRFD method using a resistance factor of 0.90.

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