written 6.1 years ago by |
Given
Pu = 1800kN = 1800×103N
l=8m=8000mm
Left=KL
K=0.8......(IS. Pg 45. Clause)
Left =0.88×8000
=6400mm
fe=410fy=250= mpa
Required = Built up section
Step I. Design of column section
Pd=Ae×Fcd
1800×103=Ae×150
Ae=1800×103150
Area of each section = 12002=6000mm2
Provide two channel section
Ismc 400
Area= 6299mm2
Ixx =15082.8×104
Iyy=504.8×104mm4
Cyy=24.2m
λxx=154.8mm
λyy=28.3mm
Ad=Ae×fcd
We=2×6293=12586mm2
Fcd=?
Klγmin=6400154.8=41.374
λ=Klγmin=6400154.8=41.374
λ=1.05×λe
=1.05×41.374
λ==43.414
λ=Klr Fcd
40 198
43.414 ?
50 183
(50−40)(50−43.414)=(183−198)(183−fcd)
fcd=192.879
Pd=12586×192.879
Pd=2427×103N
StepII. Provide spacing
Spacing between channel
[15082.8×104+0]=[504.8×104+6293×(52+Cyy)2]
S=256mm
Step III. Design of lacing
a) angle of inclination
θ=450 ——[class7.6.4]
b) width of lacing
= 3× d
=3×20
=60mm
c)t=140×eff length—-[ clause 7.6.3]
140×476
t=11.87
t=12mm
d)Radius of gyration
λmin=t√12
12√12
γmin =3.46 mm
e) distance between lacing point[Is. oh 50 class7.6.5]
ary<50
aγy<0.7×xc
tan(90−θ)=oppAdj=x256+80
X=(256+80)
Tan45
X=337
Spacing of lacing =2xx
=2×336
Distance =672mm
67.228.3=23.74<50
67228.3<0.7×λe
67228.3<0.7×43.41
23.74<30.387
a=distance between lacing point
γ =min radius of gyration of individual members being laced
λe= slenderness ratio of whole section
Step iv Check for compression [clause 7.6.6.1]
V=(2.5)18000×1032
v=2.5100×1800×1032
v=22.50KN
V=fsinθ
vsinθ=f
22.50sin45==f
f=31.8KN
Pd=Ae×fcd
Pd=(60×12)×fcd
λ=kLγmin=4763.46=137.57
130 74.3
137.57 fcd
140 66.2
fcd=68.549
d=(60×12)×68.549
=49.35×103
Pd=49.35 kN=31.8 factual saffe
Step V Check for tention
Tension capacity
1) Tdg =Ag×fyγmo
=(60×12)×2501.1
2) Tdn=0.9×12)×250γml
=0.9×(60−22)×12)×4101.85
Tdn=149.58KN
Tdn=149.58KN
Tdn=149.58 >cf=31.8
Analysis is safe
Step Vi Bolted connection
Vdsb=an×nn×fub√3×γmb
=245×2×400√3×1.25
Vdsb=90.52KN
Vdpb=2×kb×d×t×fu
=2x0.51x20x12x410
vdpb=57.95kN
Bolt value=57.95kN
BV=57.95> f=31.8
Analysis is safe
No of bolt =1 no of bolt 20mm ϕ
step vii Design of tie plate [clause 7.7.2.3]
effective depth=(5+2.cyy)
=(256+2×28.3)
=312.6mm
provide 315 mm effective depth
overall depth=315+(2×30)
=315+60
=375mm
overall depth=375mm
length of tie plate=(s+2bf)
=(256+(2× 100))
=456mm
t=150(5+29)
t=150(256+2× 40)
t=6.72mm
t=8mm