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Design of steel Beam.doc
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Design of steel Beam
Dimensios :-
Span m 12 1
m 4 Max. Deflection factor 300
Steel. 37 Yield stress (Fy) 2.4
Straining actions :-
Kg.m 32000
Kg.m 0
Kg 8000
Design :-
2083.333
h =
55
0
Check normal stress :-
cm 271.109 < Lu = 400 cm
cm 377.618 < Lu = 400 cm
cm 5.470 b = 210
1.313 < 0.58Fy
1.274 < 0.58Fy IPE 550
1.830 >0.58Fy t/cm2 1.392
0.942 Safe
Check shear stress :-
qact 131.040 Safe
Check Deflection :-
Kg/m' 8.000
r cm 1.532 Safe
cm 4.000
It's Safe to use IPE 550
Cb
Lu
t/cm2
Mx
My
Qx
Zx req. cm3
20bf /√Fy
1380(Af/dFy)Cb
rT
Fltb1 t/cm2
Fltb2 t/cm2
Fltb t/cm2 Fltb = .58Fy
Fact. / Fall.
Kg/cm2
WxL.L
rall
t = 17.2
2440
Weight Area Dimensions Axis X-X Axis Y-Y
h b s t c h-2c
kg/m` mm mm mm mm mm mm mm cm
550 106 134 57.2316 550 210 11.1 17.2 24 41.2 467.6 67120 2440 22.3 2670 254
Choosen by designer :-
Weight Area Dimensions Axis X-X Axis Y-Y
h b s t c h-2c
kg/m` mm mm mm mm mm mm mm cm
550 106 134 57.2316 550 210 11.1 17.2 24 41.2 467.6 67120 2440 22.3 2670 254
Safty factor 3
Calculated according to Z req :-
Zx req. =
Sec.No.
Awebr1 Ix Sx rx Iy Sy
cm2 cm2 cm4 cm3 cm4 cm3
Sec.No.
Awebr1 Ix Sx rx Iy Sy
cm2 cm2 cm4 cm3 cm4 cm3
Axis Y-Y Details Surface Area
w
cm mm mm
4.45 120 M27 188 17.7
Axis Y-Y Details Surface Area
w
cm mm mm
4.45 120 M27 188 17.7
ry dmax Um Ut
x10-2 m2/m\ m2/t
ry dmax Um Ut
x10-2 m2/m\ m2/t
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Area Weight Area Dimensions Axis X-X Axis Y-Y Details Surface Area
h b s t c h-2c w
kg/m` mm mm mm mm mm mm mm cm cm mm mm
7.64 80 6.00 7.64 2.64 80 46 3.8 5.2 5 10.2 59.6 80.1 20.0 3.24 8.49 3.69 1.05 N.A. N.A. 32.80 54.80
10.30 100 8.10 10.30 3.63 100 55 4.1 5.7 7 12.7 74.6 171 34.2 4.07 15.9 5.79 1.24 N.A. N.A. 40.00 49.50
13.20 120 10.40 13.20 4.73 120 64 4.4 6.3 7 13.3 93.4 318 53.0 4.90 27.7 8.65 1.45 36 M10 47.50 45.60
16.40 140 12.90 16.40 5.93 140 73 4.7 6.9 7 13.9 112.2 541 77.3 5.74 44.9 12.3 1.65 38 M10 55.10 42.60
20.10 160 15.80 20.10 7.26 160 82 5.0 7.4 9 16.4 127.2 869 109 6.58 68.3 16.7 1.84 44 M12 62.30 39.40
23.90 180 18.80 23.90 8.69 180 91 5.3 8.0 9 17.0 146.0 1320 146 7.42 101 22.2 2.05 50 M12 69.80 37.10
28.50 200 22.40 28.50 10.25 200 100 5.6 8.5 12 20.5 159.0 1940 194 8.26 142 28.5 2.24 56 M12 76.80 34.30
33.40 220 26.20 33.40 11.89 220 110 5.9 9.2 12 21.2 177.6 2770 252 9.11 205 37.3 2.48 60 M16 84.80 32.40
39.10 240 30.70 39.10 13.66 240 120 6.2 9.8 15 24.8 190.4 3890 324 9.97 284 47.3 2.69 68 M16 92.20 30.00
45.90 270 36.10 45.90 16.47 270 135 6.6 10.2 15 25.2 219.6 5790 429 11.20 420 62.2 3.02 72 M20 104.00 28.80
53.80 300 42.20 53.80 19.78 300 150 7.1 10.7 15 25.7 248.6 8360 557 12.50 604 80.5 3.35 80 M20 116.00 27.50
62.60 330 49.10 62.60 23.03 330 160 7.5 11.5 18 29.5 271.0 11770 713 13.70 788 98.5 3.55 86 M24 125.00 25.50
72.70 360 57.10 72.70 26.77 360 170 8.0 12.7 18 30.7 298.6 16270 904 15.00 1040 123 3.79 90 M24 135.00 23.60
84.50 400 66.30 84.50 32.08 400 180 8.6 13.5 21 34.5 331.0 23130 1160 16.50 1320 146 3.95 96 M27 147.00 22.20
98.80 450 77.60 98.80 39.56 450 190 9.4 14.6 21 35.6 378.8 33740 1500 18.50 1680 176 4.12 106 M27 161.00 20.70
116.00 500 90.70 116.00 47.74 500 200 10.2 16.0 21 37.0 426.0 48200 1930 20.40 2140 214 4.31 110 M27 174.00 19.20
134.00 550 106.00 134.00 57.23 550 210 11.1 17.2 24 41.2 467.6 67120 2440 22.30 2670 254 4.45 120 M27 188.00 17.70
156.00 600 122.00 156.00 67.44 600 220 12.0 19.0 24 43.0 514.0 92080 3070 24.30 3390 308 4.66 120 M27 202.00 16.60
N.A.=not available for this IPE size
Sec.No.
Awebr1 Ix Sx rx Iy Sy ry dmax Um Ut
cm2 cm2 cm2 cm4 cm3 cm4 cm3 x10-2 m2/m\ m2/t
I.P.E.
t
s
b
r1
h
X X
Y
Y
cc
h-2c
d
W
Design of steel Beam
Dimensios & Loads :-
Span m 7.5 Effictive width m 2 Tie rod :- No tie rod
5 Angle of roof 5.71
L.L 50 Max. Deflection factor 200
Steel. 37 Fy 2.4
Loading :-Assume :-
h = Span/40 mm 187.5 From tables try. C 200Kg/m' 135.3499
Kg/m' 134.6783
Kg/m' 13.46642
Straining actions :-
Kg.m 951.6787
Kg.m 94.68577
Kg 505.0436
Design :-
109.1806 From tables try. C 160
Check normal stress :-
0.961079 Safe
Check shear stress :-
qact 42.08697 Safe
Check Deflection :-
Kg/cm' 1
r cm 2.120913 Safe
cm 3.75
It's not Safe to use C - Channel 160
D.L cover Kg/m2
Kg/m2
t/cm2
Wt
Wx
Wy
Mx
My
Qx
Zx req. cm3
Fact Kg/cm2
Kg/cm2
WxL.L
rall
No tie rod
Calculated by Excel sheet :-
200.00
Sec. No.Weight Area
Dimensions Axis X-X
h b s c h-2c
kg/m` mm mm mm mm mm mm cm cm cm
200 25.3 32.2 15 200 75 8.5 11.5 24.5 151 2.01 3.94 1910 191 7.7
Given by user :-
116
Sec. No.Weight Area
Dimensions Axis X-X
h b s c h-2c
kg/m` mm mm mm mm mm mm cm cm cm
160 18.8 24 10.4 160 65 7.5 10.5 22.5 116 1.84 3.56 925 116 6.21
Safty factor 3
Awebt=r1 ey Xm Ix Sx rx
cm2 cm2 cm4 cm3
Zx req. =
Awebt=r1 ey Xm Ix Sx rx
cm2 cm2 cm4 cm3
Axis Y-Y Details Surface Area
W
cm mm mm
148 27 2.14 40 M20 66.1 26.1
Axis Y-Y Details Surface Area
W
cm mm mm
85.3 18.3 1.89 35 M20 54.6 29
Iy Sy ry dmax Um Ut
cm4 cm3 x10-2 m2/m\ m2/t
Iy Sy ry dmax Um Ut
cm4 cm3 x10-2 m2/m\ m2/t
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Weight Area Dimensions Axis X-X Axis Y-Y Details
h h b s c h-2c W
mm kg/m` mm mm mm mm mm mm cm cm cm cm mm mm
1.69 30 30x15 30x15 1.74 2.21 0.84 30 15 4.0 4.5 9.0 12 0.52 0.74 2.53 1.69 1.07 0.38 0.39 0.42 N.A. N.A.
4.26 30 30 30 4.27 5.44 0.80 30 33 5.0 7.0 14.5 1 1.31 2.22 6.39 4.26 1.08 5.33 2.68 0.99 N.A. N.A.
3.79 40 40x20 40x20 2.87 3.66 1.45 40 20 5.0 5.5 11.0 18 0.67 1.01 7.58 3.79 1.44 1.14 0.86 0.56 N.A. N.A.
7.05 40 40 40 4.87 6.21 1.30 40 35 5.0 7.0 14.5 11 1.33 2.32 14.1 7.05 1.50 6.68 3.08 1.04 N.A. N.A.
6.73 50 50x25 50x25 3.86 4.92 1.90 50 25 5.0 6.0 12.5 25 0.81 1.34 16.6 6.73 1.85 2.49 1.48 0.71 N.A. N.A.
10.6 50 50 50 5.59 7.12 1.80 50 38 5.0 7.0 15.0 20 1.37 2.47 26.4 10.6 1.92 9.12 3.75 1.13 N.A. N.A.
10.5 60 60 60 5.07 6.46 2.88 60 30 6.0 6.0 12.5 35 0.91 1.50 31.6 10.5 2.21 4.51 2.16 0.84 N.A. N.A.
17.7 65 65 65 7.09 9.03 2.75 65 42 5.5 7.5 16.0 33 1.42 2.60 57.5 17.7 2.52 14.1 5.07 1.25 22 M10
17.5 70 70 70 6.73 8.57 3.42 70 40 6.0 6.5 16.0 38 1.42 2.20 61.1 17.5 2.67 11.4 4.10 1.15 22 M10
26.5 80 80 80 8.64 11.00 3.84 80 45 6.0 8.0 17.0 47 1.45 2.67 106 26.5 3.10 19.4 6.36 1.33 25 M12
41.2 100 100 100 10.60 13.50 4.98 100 50 6.0 8.5 18.0 64 1.55 2.93 206 41.2 3.91 29.3 8.49 1.47 30 M12
60.7 120 120 120 13.40 17.00 7.14 120 55 7.0 9.0 19.0 82 1.60 3.03 364 60.7 4.62 43.2 11.1 1.59 30 M16
86.4 140 140 140 16.00 20.40 8.40 140 60 7.0 10.0 21.0 97 1.75 3.37 605 86.4 5.45 62.7 14.8 1.75 35 M16
116 160 160 160 18.80 24.00 10.42 160 65 7.5 10.5 22.5 116 1.84 3.56 925 116 6.21 85.3 18.3 1.89 35 M20
150 180 180 180 22.00 28.00 12.64 180 70 8.0 11.0 23.5 133 1.92 3.75 1350 150 6.95 114 22.4 2.02 40 M20
191 200 200 200 25.30 32.20 15.05 200 75 8.5 11.5 24.5 151 2.01 3.94 1910 191 7.70 148 27.0 2.14 40 M20
245 220 220 220 29.40 37.40 17.55 220 80 9.0 12.5 26.5 166 2.14 4.20 2690 245 8.48 197 33.6 2.30 45 M20
300 240 240 240 33.20 42.30 20.33 240 85 9.5 13.0 28.0 185 2.23 4.39 3600 300 9.22 248 39.6 2.42 45 M24
371 260 260 260 37.90 48.30 23.20 260 90 10.0 14.0 30.0 201 2.36 4.66 4820 371 9.99 317 47.7 2.56 50 M24
448 280 280 280 41.80 53.30 25.00 280 95 10.0 15.0 32.0 213 2.53 5.02 6280 448 10.90 399 57.2 2.74 50 M24
535 300 300 300 46.20 58.80 26.80 300 100 10.0 16.0 34.0 232 2.70 5.41 8030 535 11.70 495 67.8 2.90 55 M27
679 320 320 320 59.50 75.80 39.90 320 100 14.0 17.5 37.0 247 2.60 4.82 10870 679 12.10 597 80.6 2.81 58 M27
734 350 350 350 60.60 77.30 44.52 350 100 14.0 16.0 34.0 283 2.40 4.45 12840 734 12.90 570 75.0 2.72 58 M27
829 380 380 380 63.10 80.40 46.98 380 102 13.5 16.0 33.5 313 2.38 4.58 15760 829 14.00 615 78.7 2.77 60 M27
1020 400 400 400 71.80 91.50 50.96 400 110 14.0 18.0 38.0 325 2.65 5.11 20350 1020 14.90 846 102 3.04 60 M27
N.A.=not available for this channel size
Sec. No.
Sec. No.
Aweb
Sx t=r1 ey Xm Ix Sx rx Iy Sy ry dmax
cm3 cm2 cm2 cm4 cm3 cm4 cm3
CHANNEL(U.P.N.)
Shear Center x
h
ey
h-2c
t
c
Y
sm
X X
c
bY
d
h
s
t
b
W
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00
h
mm400 1020380 829350 734320 679300 535280 448260 371240 300220 245200 191180 150160 116140 86.4
Sx
cm3
120 60.7100 41.280 26.570 17.765 17.560 10.650 10.550 7.0540 6.7340 4.2630 3.7930 1.69
22 23
23 24
Surface Area
7.14 41.00
17.40 40.74
13.71 47.77
19.47 40.00
17.52 45.40
22.40 40.06
21.32 42.06
27.30 38.50
26.67 39.64
31.20 36.10
37.20 35.10
43.40 32.40
48.90 30.60
54.60 29.00
61.10 37.80
66.10 26.10
71.80 24.40
77.50 23.30
83.40 22.00
89.00 21.00
95.00 20.60
98.20 16.50
105.00 17.30
111.00 17.70
118.00 16.50
Um Ut
x10-2 m2/m\ m2/t
d
h
s
t
b
W
24.00 25.00
No tie rod 1.00 8.00One tie rod 2.00 10.00Two Tie rod 3.00 10.00Three tie rod 4.00 10.00Four Tie rod 5.00 10.00
