written 6.1 years ago by |
Given
L=5.9m = 5900 mm
Pu=2000×103N
required two channel back to back with battern & site welding γ mw=1.5
- Pu=Aea× fcd
2000×103=Area× 150
Area=13333.33mm2
Area of each section=13333.332=6666.67mm2
provide fcd=190mpa
Pu=Area× fcd
2000×103=Area×190
Area=1056.31mm2
Area of each section=10526.312=5263.15mm2
2) Provide ISMC 350
Aprov=5366mm2
γ xx=136.6mm Ixx=10008×104mm4
γyy=28.3mm Iyy=430.6×104mm4
Cyy=24.4
kLγ=5900136.6=43.19
λe=1.1×43.19
λe=47.51
40 198
47.51 fcd
50 183
fcd=186.74mpa
Pd=Ae× fcd
=2×5366)×186.74
Pd=2004.09kN> 2000 KN s safe
Step II
Ixx=Iyy
2[Ixx1+Ab2]=2[Ixx+Ah2]
[10008×104+0]=[430.6×104+5366(52+cyy)2]
S=218.99mm
S=220mm
Step III Sapcing between batten
cγyy<50 & cγyy<0.7λe
c<50×γyy
c<50×28.33
c<1415mm
c<0.7×λ×γyy
<0.7×97.81×28.3
<941.17
c=940mm
Step IV Size of batten
end batten
over all depth=eff depth d′
d′=s+2cyy
=220+2(24.4)
=268.8
D=270mm
thickness=150×s
=150×220
=4.4mm
provide 8mm
overlao=4× 8 =32mm
length provide 60mm
length=s+2∗ overlap
=220+2∗ 60
=340mm
Intermedient
d=34d′
=34×270
D=d=205mm
t=8mm
Step V check for shear stress
Vdt<fy√3∗γmo
Vb=Vt×c2N
Vt=2.5∗ P4
2.5100×2000×103
Vt=5000NVt=50kN
shear stress=Vbd×t
69.12×103250×8
=42.15×131.26
safe
Vb=50×103×9402×(s+2overlap)=50×103×9402(5+260)
Vb=69.12×103N
Shera Stress=69.12×103270×8=32KN<fy√3.γm=131.26
Step VI Check for bending stress=6mtd2
end batten
m==vt×c2N=50×103×9402(2)
m=11.75×106 N.mm
bending stress=6×11.75×1068×2702
=120.88mpa
<fyγmo=227.27
Intermedient
b. stress=6×11.75×1068×2052
=209.70mpa
< 227.27
Step VII
Connection
(rn)2=302+(2052)2
direct shera stress=(f1)=VbLw×t
=69.12×103530×1
f1=130.41N/mm
Torrtn stress(F2)=m.γnIP
IP=IXX+IYY
Ixx=2[60×t312+Ah2]+2[t×205312+0]
Ixx=2.69×106mm4
Iyy=2[1×60312+0]+2[25×t312+(205×)×302]
Iyy=405×103mm4
Ip=Ixx+Iyy
=2.69×106+405×103 rn2=(30)2+(2052)2
=3.0595×106mm4 γn=106.800
bending stress=m.rn2D
=11.75×106×106.83.095×106
cosθ=30106.8
f2=405.46N/mm
θ=0.28∘
Resultant stress=√F21+F22+2F1F2cosθ
=√130.472+405.462+2×130.42×405.46×γcosθ
R=459.37N/m--------eq A
force in p=Lw×FT.T×fu√3γmw
459.37=1×(0.7×sw)410√3×1.5
459.37=1×(0.7sw)410√3×1.5
sw=4.16mm
sw=5mm