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Design laterally unsupported beam ss over a span 2m i tcarry a udl 56kN/m
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Given

w=56kN/m

factored load =56×1.5=84kN/m

length of span=2m

Required =design laterally unsupported beam

1) V=wd2=84×22=84kN

m=wl28=84×228=42kN.m

2) Trial section

Zpreq=Mfbd

Assume λ=100 htf=25mm

fcrb=291.4 Md

250      152.3

291.4    fbd

300      163.6

fbd=161.65

Zpreq=42×106161.65

Zpreq=259.82×103mm3

ISMB     200

Zp=255.36×103

D=200     bf=100mm      tf=10.8mm

tw=5.7mm      γ xx=83.2

γyy=21.5      Ixx=2235.4×106mm4

Zxx=224×103       R1=11mm

Dtf=20010.8=18.52

kLγmin=200021.5=93

18    18.5220

90       402.2     x      380.4

93       x     y

100       34364      325.8

18           402.2

18.52          x

20        380.4

18         346.4

18.52       y

20       325.8

x=396.53        y=341.64

90        396.53

93        fcr

10        341.04

fcrb=379.88

350         172.7

379.88       fbd

400           184.1

fbd=179.21mpa

md=BdZPfbd

=1(255.56)×179.89

=45.94kN > m(42)

Anaysis is safe

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