Slender Ness Ratio for Beams

7/30/2019 Slender Ness Ratio for Beams

1/45

For beams let us consider The Effective length = 1.2 * L for all expect to Cantilever beams

Span m KL/r=180 ( r= kl/180) in m Required rmin in cm

1 0.006666667 0.666666667

2 0.013333333 1.3333333333 0.02 2

4 0.026666667 2.666666667

5 0.033333333 3.333333333

6 0.04 4

7 0.046666667 4.666666667

8 0.053333333 5.333333333

9 0.06 6

10 0.066666667 6.666666667

11 0.073333333 7.333333333

12 0.08 8

13 0.086666667 8.66666666714 0.093333333 9.333333333

15 0.1 10

16 0.106666667 10.66666667

17 0.113333333 11.33333333

18 0.12 12

19 0.126666667 12.66666667

20 0.133333333 13.33333333

21 0.14 14

22 0.146666667 14.66666667

23 0.153333333 15.33333333

24 0.16 1625 0.166666667 16.66666667

26 0.173333333 17.33333333

27 0.18 18

28 0.186666667 18.66666667

29 0.193333333 19.33333333

30 0.2 20


2/45

Round off of rmin in cm Section That Satisfies As per Rrrpa Recommended Sections

1

22

3

4

4

5

6

6

7

8

8

910

10

11

12

12

13

14

14

15

16

1617

18

18

19

20

20

Freezing level of column with respect to slenderness Ratio

and Maximum Height of the column and section listconfirmed for RRPA project


3/45

Always use ISMB 250 for JOIST if not enough go to ISMC Sections Always Sta

For beams let us consider The Effective length = 1.2 * L for all expect to Ca

Length k value slenderness limit Required Ryy in cm

1 1.2 180 0.667

2 1.2 180 1.334

3 1.2 180 2

4 1.2 180 2.667

5 1.2 180 3.334

6 1.2 180 4

7 1.2 180 4.667

8 1.2 180 5.334

9 1.2 180 6

10 1.2 180 6.667

11 1.2 180 7.334

12 1.2 180 8

13 1.2 180 8.667

14 1.2 180 9.334

15 1.2 180 10

16 1.2 180 10.667

17 1.2 180 11.334

18 1.2 180 12

19 1.2 180 12.667


4/45

t Seleceting Sections from UB and then to UC in Case of Beams and finally to HEM and HEB Sections

ntilever beams

DIFFERENT TYPES OF

SECTIONSRxx in cm Ryy in cm

610 @ 140 25.05 5.03

610 x 229 x 125 24.88 4.97

610 x 229 x 113 24.63 4.88

610 @ 101 24.24 4.75

533 x 210 x 122 22.12 4.67

533 x 210 x 101 21.87 4.57

533 x 210 x 92 21.69 4.51

533 x 210 x 82 21.31 4.38

457 x 191 x 98 19.11 4.33

457 x 191 x 82 18.83 4.23

457 x 191 x 74 18.76 4.2

457 x 191 x 67 18.54 4.12

406 x 178 x 74 17 4.04

406 x 178 x 67 16.87 3.99

356 x 171 x 67 15.09 3.99

406 x 178 x 60 16.8 3.97

356 x 171 x 57 14.87 3.97

305 x 165 x 54 13.04 3.93

305 @ 46 12.98 3.9

356 x 171 x 51 14.76 3.86

305 @ 40 12.87 3.86

406 x 178 x 54 16.48 3.85

356 x 171 x 45 14.51 3.76

254 x 146 x 43 10.93 3.52254 @ 37 10.83 3.48

203 x 133 x 25 8.56 3.17

UB SECTIONS
mailto:610@140mailto:610@140


5/45

Sectional

Weight Kg/m

DIFFERENT TYPES OF

SECTIONSRxx in cm

140 UC Sections

125 356 x 368 x 202 16.05

113 356 x 368 x 177 15.89

101.2 356 x 368 x 153 15.78

122 305 x 305 x 283 14.79

101 305 x 305 x 240 14.49

92.1 305 @ 198 14.2

82.2 305 @ 158 13.87

98.3 305 @ 137 13.72

82 305 @ 118 13.57

74.3 305 @ 97 13.42

67.1 254 x 254 x 89 11.22

74.2 254 @ 73 11.07

67.1 203 x 203 x 60 8.96

67.1 203 x 203 x 52 8.91

60.1 203 x 203 x 46 8.82

57 152 x 152 x 23 6.54

54 INDIAN SECTION

46.1 ISMB 400

51 ISMB 250

40.3 IS OR EUROPean

54.1 NPB or IPE

45 600 x 220 x 122.4

4337

25.1


6/45

Ryy in cm

Sectional

Weight

Kg/m

9.6 202.2

9.53 177.2

9.48 153.1

8.27 282.9

8.15 240

8.04 198.1

7.9 158.1

7.83 136.9

7.77 117.9

7.69 96.9

6.55 88.9

6.48 73.1

5.2 60

5.18 52

5.13 46.1

3.87 23

2.81

2.73


7/45

Beams/ Columns w

Kg/m

UB 203X133X 25 25.1

UB 254x146x37 37

UB 254x146x43 43

UB 305 x 165 x 40 40.3

UB 305 x 165 x 46 46.1

UB 305 x 165 x 54 54

UB 356 x 171 x 45 45

UB 356 x 171 x 51 51

UB 356 x 171 x 57 57

UB 356 x 171 x 67 67.1

UB 406 X 178 X 54 54.1

UB 406 X 178 X 60 60.1

UB 406 X 178 X 67 67.1

UB 406 X 178 X 74 74.2

UB 457 x 191 x 67 67.1

UB 457 x 191 x 74 74.3UB 457 x 191 x 82 82

UB 457 x 191 x 98 98.3

UB 533 x 210 x 82 82.2

UB 533 x 210 x 92 92.1

UB 533 x 210 x 101 101

UB 533 x 210 x 122 122

UB 610 x 229 x 101 101.2

UB 610 x 229 x 113 113

UB 610 x 229 x 125 125.1

UB 610 x 229 x 139 139.9

NPB 450 x 190 x 77.6 77.6

NPB 500 x 200 x 90.7 90.7

NPB 600 x 220 x 122.4 122.4

WPB 600 x 300 x 128.8 128.8

WPB 700 x 300 x 204.5 204.5

WPB 900 x 300 x 291 291.45

PARALLEL FLANGE BEAMS

Description Sectional Weight


8/45

WPB 600 x 300 x 211.9 211.9

HE 900 M 333

22

OUT STANDING ELEMENT = b/tf

Plastic Compact

9.4 10.5

INTERNAL ELEMENTS web =d/tw

Plastic Compact

84 105

1000 3.34

2000 6.67

3000 10

4000 13.34

5000 16.67

6000 20

7000 23.34

8000 26.67

9000 30

10000 33.34

11000 36.67

12000 40

13000 43.34

14000 46.67

15000 5016000 53.34

17000 56.67

18000 60

19000 63.34

20000 66.67

Deflection Criteria Length / 240


9/45

FOR POINT LOAD

length/ 180 length /300

5.56 3.34 1000 3.3411.12 6.67 2000 6.67

16.67 10 3000 10

22.23 13.34 4000 13.34

27.78 16.67 5000 16.67

33.34 20 6000 20

38.89 23.34 7000 23.34

44.45 26.67 8000 26.67

50 30 9000 30

55.56 33.34 10000 33.34

61.12 36.67 11000 36.67

66.67 40 12000 4072.23 43.34 13000 43.34

77.78 46.67 14000 46.67

83.34 50 15000 50

88.89 53.34 16000 53.34

94.45 56.67 17000 56.67

100 60 18000 60

105.56 63.34 19000 63.34

111.12 66.67 20000 66.67

DeflectionDeflectionLength in mm

Deflection Length /

240 in mm


10/45

H b tw tf r

mm mm mm mm mm

203.2 133.2 5.7 7.8 7.6

256 146.4 6.3 10.9 7.6

259.6 147.3 7.2 12.7 7.6

303.4 165 6 10.2 8.9

306.6 165.7 6.7 11.8 8.9

310.4 166.9 7.9 13.7 8.9

351.4 171.1 7 9.7 10.2

355 171.5 7.4 11.5 10.2

358 172.2 8.1 13 10.2

363.4 173.2 9.1 15.7 10.2

402.6 177.7 7.7 10.9 10.2

406.4 177.9 7.9 12.8 10.2

409.4 178.8 8.8 14.3 10.2

412.8 179.5 9.5 16 10.2

453.4 189.9 8.5 12.7 10.2

457 190.4 9 14.5 10.2460 191.3 9.9 16 10.2

467.2 192.8 11.4 19.6 10.2

528.3 208.8 9.6 13.2 12.7

533.1 209.3 10.1 15.6 12.7

536.7 210 10.8 17.4 12.7

544.5 211.9 12.7 21.3 12.7

602.6 227.6 10.5 14.8 12.7

607.6 228.2 11.1 17.3 12.7

612.2 229 11.9 19.6 12.7

617.2 230.2 13.1 22.1 12.7

450 190 9.4 14.6 21

500 200 10.2 16 21

600 220 12 19 24

571 300 12 15.5 27

690 300 14.5 27 27

900 300 18.5 35 30

Total Depth Flange WidthThickness of

Web

Thickness of

FlangeRoot radius


11/45

600 300 15.5 30 27

910 302 21 40 30

Load 20 N/mm

Semic compact E 210000

15.7

fy 250e 1

Semi Compact

126

assume w = 20

UB 203X133X 25 UB 254x146x37 UB 254x146x43 UB 305 x 165 x 40UB 305 x 165 x 46

x w x l^4/((384 x ExI))

0.053 0.023 0.019 0.015 0.013

0.848 0.359 0.304 0.234 0.201

4.293 1.815 1.535 1.182 1.015

13.567 5.734 4.852 3.734 3.207

33.122 13.998 11.844 9.116 7.83

68.682 29.026 24.56 18.901 16.236

127.241 53.774 45.499 35.017 30.079

217.067 91.735 77.619 59.737 51.312

347.7 146.942 124.331 95.686 82.192

529.949 223.963 189.499 145.841 125.274

775.898 327.904 277.446 213.525 183.413

1098.902 464.409 392.945 302.415 259.767

1513.586 639.659 541.228 416.535 357.793

2035.85 860.374 727.979 560.26 481.25

2682.865 1133.81 959.338 738.317 634.1963473.071 1467.76 1241.899 955.779 820.991

4426.183 1870.556 1582.712 1218.073 1046.295

5563.187 2351.067 1989.282 1530.973 1315.068

6906.342 2918.7 2469.566 1900.605 1632.573

8479.176 3583.398 3031.979 2333.444 2004.372


12/45

W 1097.2 kN

W = 100 Kn

UB 203X133X 25 UB 254x146x37 UB 254x146x43 UB 305 x 165 x 40UB 305 x 165 x 46

w x l^3/((48 x ExI))

4.65168 1.96586 1.66335 1.28013 1.099637.21341 15.72682 13.30675 10.24102 8.79679

125.59524 53.078 44.91028 34.56344 29.68915

297.70724 125.81451 106.454 81.92814 70.37428

581.45944 245.73146 207.91796 160.01589 137.44976

1004.76191 424.62396 359.28223 276.50746 237.51317

1595.5247 674.28712 570.52687 439.0836 377.16212

2381.65785 1006.51605 851.63194 655.42507 562.99418

3391.07143 1433.10586 1212.5775 933.21265 801.60695

4651.67549 1965.85166 1663.34362 1280.12709 1099.59801

6191.38008 2616.54856 2213.91036 1703.84916 1463.56495

8038.09524 3396.99167 2874.25778 2212.05961 1900.1053510219.73105 4318.9761 3654.36593 2812.43922 2415.81682

12764.19754 5394.29696 4564.21489 3512.66874 3017.29693

15699.40477 6634.74935 5613.78472 4320.42893 3711.14327

19053.26279 8052.1284 6813.05546 5243.40056 4503.95343

22853.68166 9658.2292 8172.0072 6289.26439 5402.325

27128.57143 11464.84688 9700.61998 7465.70119 6412.85556

31905.84216 13483.77653 11408.87388 8780.39171 7542.14271

37213.40389 15726.81328 13306.74895 10241.01671 8796.78403


13/45

X Axis Y Axis X AxisA Ixx Iyy Zxx

cm2 cm4 cm4 cm3

31.97 2340 307.6 230.3

47.17 5537 570.6 432.6

54.77 6544 677.4 504.1

51.32 8503 764.4 560.5

58.75 9899 895.7 645.7

68.77 11700 1063 753.6

57.34 12070 811.1 686.7

64.91 14140 968.3 796.4

72.56 16040 1108 896

85.49 19460 1362 1071

68.95 18720 1021 930

76.52 21600 1203 1063

85.54 24330 1365 1189

94.51 27310 1545 1323

85.51 29380 1452 1296

94.63 33320 1671 1458104.5 37050 1871 1611

125.3 45730 2347 1957

104.7 47540 2007 1800

117.4 55230 2389 2072

128.7 61520 2692 2292

155.4 76040 2793 2793

128.9 75780 2915 2515

143.9 87320 3434 2874

159.3 98610 3922 3221

178.2 111800 4505 3622

98.8 33743 1675.9 1499.7

115.5 48199 2141.7 1927.9

156 92083 3387.3 3069.4

164.1 91872 6993.4 3217.9

260.5 215301 12178.8 6240.6

371.3 494065 15815.9 10979.2

Area of sectionMoment of Inertia Sectio


14/45

270 171041 13530.2 5701.4

423.6 570400 18450 12540

UB 305 x 165 x 54UB 356 x 171 x 45 UB 356 x 171 x 51 UB 356 x 171 x 57

0.011 0.011 0.009 0.008

0.17 0.165 0.141 0.124

0.86 0.833 0.711 0.627

2.72 2.631 2.246 1.98

6.63 6.422 5.482 4.832

13.74 13.316 11.366 10.02

25.45 24.669 21.057 18.563

43.42 42.083 35.922 31.667

69.54 67.409 57.541 50.725

105.99 102.741 87.701 77.312

155.18 150.423 128.402 113.193

219.79 213.043 181.855 160.314

302.72 293.438 250.481 220.81

407.17 394.689 336.909 297.001

536.58 520.125 443.982 391.391694.62 673.321 574.752 506.67

885.24 858.1 732.48 645.715

1112.64 1078.531 920.641 811.588

1381.27 1338.927 1142.917 1007.534

1695.84 1643.851 1403.202 1236.987


15/45

consider that load is reaction of that simply supported beam multiplied with distance gi

UB 305 x 165 x 54UB 356 x 171 x 45 UB 356 x 171 x 51 UB 356 x 171 x 57

0.93034 0.90182 0.7698 0.678627.44269 7.21453 6.15838 5.42889

25.11905 24.34904 20.78451 18.3225

59.54145 57.71624 49.26697 43.43111

116.29189 112.72702 96.22455 84.82638

200.95239 194.79229 166.27602 146.57998

319.10494 309.32294 264.04016 232.76358

476.33157 461.72986 394.13575 347.44884

678.21429 657.42396 561.18156 494.70743

930.3351 901.81613 769.79637 678.61102

1238.27602 1200.31727 1024.59897 903.23126

1607.61905 1558.33827 1330.20813 1172.639832043.94621 1981.29003 1691.24262 1490.9084

2552.83951 2474.58345 2112.32124 1862.10862

3139.88096 3043.62943 2598.06274 2290.31217

3810.65256 3693.83886 3153.08593 2779.59071

4570.73634 4430.62263 3782.00956 3334.01591

5425.71429 5259.39165 4489.45242 3957.65943

6381.16844 6185.55681 5280.03329 4654.59294

7442.68078 7214.52901 6158.37094 5428.8881


16/45

Y Axis X Axis Y AxisZyy rxx ryy

cm3 cm cm b/tf d/tw

46.2 8.56 3.1 8.54 32.92

78 10.83 3.48 6.72 37.18

92 10.93 3.52 5.8 32.53

92.6 12.87 3.86 8.09 47.17

108 12.98 3.9 7.03 42.24

127 13.04 3.93 6.1 35.83

94.81 14.51 3.76 8.82 47.43

112.9 14.76 3.86 7.46 44.87

128.7 14.87 3.91 6.63 40.99

157.3 15.09 3.99 5.52 36.49

115 16.48 3.85 8.16 49.46

135 16.8 3.97 6.95 48.21

153 16.87 3.99 6.26 43.28

172 17 4.04 5.61 40.09

152.9 18.54 4.12 7.48 50.36

175.5 18.76 4.2 6.57 47.56195.6 18.83 4.23 5.98 43.24

243.5 19.11 4.33 4.92 37.55

192.3 21.31 4.38 7.91 52.29

228.3 21.69 4.51 6.71 49.7

256.4 21.87 4.57 6.04 46.48

319.7 22.12 4.67 4.98 39.52

256.1 24.24 4.75 7.69 54.58

301 24.63 4.88 6.6 51.63

343.4 24.88 4.97 5.85 48.16

391.1 25.05 5.08 5.21 43.75

176.4 18.48 4.12 6.51 44.77

241.2 20.43 4.31 6.25 45.89

307.9 24.3 4.66 5.79 46.84

466.2 23.66 6.53 9.68 45

811.9 28.75 6.65 5.56 43.87

1054.4 36.48 6.53 4.29 44.87

al Modulus Radius of gyyration


17/45

902 25.17 7.08 5 34.84

1222 36.7 6.6 3.78 39.53

UB 356 x 171 x 67 B 406 X 178 X 5 B 406 X 178 X 6 B 406 X 178 X 6 B 406 X 178 X 7

0.007 0.007 0.006 0.006 0.005

0.102 0.106 0.092 0.082 0.073

0.517 0.537 0.466 0.413 0.368

1.632 1.696 1.47 1.305 1.163

3.983 4.141 3.589 3.186 2.838

8.259 8.586 7.441 6.606 5.885

15.301 15.906 13.785 12.238 10.903

26.102 27.134 23.516 20.877 18.599

41.81 43.463 37.668 33.441 29.792

63.725 66.244 57.412 50.97 45.408

93.3 96.988 84.056 74.624 66.482

132.14 137.363 119.048 105.69 94.158

182.004 189.199 163.972 145.573 129.689

244.805 254.482 220.551 195.804 174.438

322.606 335.359 290.644 258.032 229.876417.626 434.134 376.25 334.032 297.583

532.234 553.273 479.504 425.7 379.249

668.955 695.399 602.679 535.054 476.67

830.465 863.293 748.187 664.236 591.756

1019.593 1059.897 918.578 815.507 726.521


18/45

ive u maximum load upto first point load if several point loads r there means so that point will be subjected

UB 356 x 171 x 67 B 406 X 178 X 5 B 406 X 178 X 6 B 406 X 178 X 6 B 406 X 178 X 7

0.55935 0.58146 0.50394 0.44739 0.398574.47479 4.65168 4.03146 3.5791 3.18856

15.10241 15.69941 13.60616 12.07945 10.76137

35.79831 37.21341 32.25162 28.63276 25.50842

69.91856 72.68243 62.99144 55.92335 49.82114

120.81927 125.59524 108.84921 96.63555 86.09092

191.85652 199.44059 172.84851 153.45367 136.70919

286.38641 297.70724 258.01294 229.06204 204.06736

407.76502 423.88393 367.36608 326.14498 290.55684

559.34844 581.45944 503.93152 447.3868 398.56905

744.49278 773.92251 670.73285 595.47182 530.4954

966.55411 1004.76191 870.79366 773.08438 688.727321228.88853 1277.46639 1107.13753 982.90879 875.6562

1534.85212 1595.5247 1382.78807 1227.62936 1093.67347

1887.80099 1962.4256 1700.76885 1509.93043 1345.17053

2291.09121 2381.65785 2064.10347 1832.4963 1632.53882

2748.07889 2856.71021 2475.81552 2198.01131 1958.16973

3262.1201 3391.07143 2938.92858 2609.15977 2324.45468

3836.57095 3988.23027 3456.46624 3068.62601 2733.78509

4474.78752 4651.67549 4031.45209 3579.09434 3188.55237


19/45

W.R.T. Out

standing

elements

W.R.T Internal

standing

elements

Deflection

Criteria

considering 20

kN/m

Section Classificati ection Classificatio

5 x w xl ^4/((384

x E x I )) upto

span which it can

be given

Plastic Plastic 4

Plastic Plastic 5

Plastic Plastic 6

Plastic Plastic 6

Plastic Plastic 6

Plastic Plastic 7

Plastic Plastic 7

Plastic Plastic 7

Plastic Plastic 8

Plastic Plastic 8

Plastic Plastic 8

Plastic Plastic 9

Plastic Plastic 9

Plastic Plastic 9

Plastic Plastic 9

Plastic Plastic 10Plastic Plastic 10

Plastic Plastic 11

Plastic Plastic 11

Plastic Plastic 12

Plastic Plastic 12

Plastic Plastic 13

Plastic Plastic 13

Plastic Plastic 14

Plastic Plastic 14

Plastic Plastic 15

Equivalent to IPE 450 Plastic Plastic 10

Equivalent to IPE 500 Plastic Plastic 11

Equivalent to IPE600 Plastic Plastic 14

Equivalent to HE 600AA Compact Plastic 14

Equivalent to HE 700A Plastic Plastic 19

Equivalent to HE 900B Plastic Plastic 20+

Remarks


20/45

Equivalent to HE 600B Plastic Plastic 17

Plastic Plastic 20+

UB 457 x 191 x 67UB 457 x 191 x 74UB 457 x 191 x 82UB 457 x 191 x 98UB 533 x 210 x 82

0.005 0.004 0.004 0.003 0.003

0.068 0.06 0.054 0.044 0.042

0.342 0.302 0.272 0.22 0.212

1.081 0.953 0.857 0.695 0.668

2.639 2.327 2.092 1.695 1.631

5.471 4.824 4.338 3.515 3.381

10.135 8.936 8.037 6.511 6.264

17.289 15.245 13.71 11.108 10.685

27.693 24.419 21.96 17.792 17.115

42.209 37.218 33.471 27.118 26.085

61.798 54.49 49.005 39.703 38.192

87.524 77.174 69.405 56.231 54.09

120.552 106.297 95.595 77.451 74.502

162.148 142.974 128.58 104.175 100.209

213.68 188.413 169.445 137.282 132.056276.617 243.908 219.352 177.717 170.951

352.528 310.843 279.549 226.488 217.865

443.086 390.692 351.36 284.668 273.83

550.063 485.02 436.19 353.397 339.942

675.333 595.477 535.527 433.879 417.36


21/45

to maximum deflection.

UB 457 x 191 x 67UB 457 x 191 x 74UB 457 x 191 x 82UB 457 x 191 x 98UB 533 x 210 x 82

0.37049 0.32668 0.2938 0.23803 0.228972.9639 2.61343 2.35033 1.90421 1.83171

10.00317 8.82032 7.93234 6.4267 6.18202

23.7112 20.90742 18.80257 15.23366 14.65366

46.31093 40.83479 36.72376 29.75323 28.62043

80.02529 70.56252 63.45865 51.41358 49.4561

127.07719 112.05066 100.76999 81.64286 78.53446

189.68957 167.25929 150.4205 121.86922 117.22927

270.08534 238.14848 214.17294 173.52083 166.91433

370.48743 326.6783 293.79004 238.02582 228.96342

493.11877 434.80881 391.03454 316.81237 304.75031

640.20228 564.50009 507.66918 411.30862 395.64878813.96088 717.71221 645.4567 522.94273 503.03262

1016.61751 896.40523 806.15985 653.14285 628.27561

1250.39507 1102.53923 991.54136 803.33714 772.75152

1517.51651 1338.07428 1203.36397 974.95375 937.83414

1820.20474 1604.97045 1443.39043 1169.42085 1124.89725

2160.68269 1905.18779 1713.38346 1388.16657 1335.31463

2541.17327 2240.6864 2015.10583 1632.61909 1570.46005

2963.89943 2613.42633 2350.32025 1904.20655 1831.70731


22/45


23/45

UB 533 x 210 x 92 B 533 x 210 x 10 B 533 x 210 x 12 B 610 x 229 x 10 UB 610 x 229 x 113

0.003 0.003 0.002 0.002 0.002

0.036 0.033 0.027 0.027 0.023

0.182 0.164 0.133 0.133 0.116

0.575 0.517 0.418 0.419 0.364

1.404 1.26 1.02 1.023 0.888

2.91 2.613 2.114 2.121 1.841

5.391 4.84 3.916 3.93 3.41

9.197 8.257 6.68 6.703 5.817

14.732 13.226 10.7 10.737 9.318

22.454 20.158 16.309 16.365 14.202

32.874 29.513 23.877 23.959 20.793

46.559 41.799 33.817 33.933 29.449

64.129 57.572 46.578 46.738 40.562

86.256 77.437 62.65 62.865 54.557

113.669 102.047 82.561 82.844 71.896147.149 132.104 106.878 107.245 93.072

187.53 168.357 136.209 136.676 118.613

235.703 211.604 171.198 171.785 149.083

292.61 262.693 212.531 213.26 185.077

359.249 322.518 260.933 261.828 227.225


24/45

UB 533 x 210 x 92 B 533 x 210 x 10 B 533 x 210 x 12 B 610 x 229 x 10 UB 610 x 229 x 113

0.19709 0.17694 0.14315 0.14364 0.124661.57667 1.41547 1.14518 1.14911 0.99725

5.32126 4.7772 3.86498 3.87824 3.3657

12.61335 11.32372 9.16143 9.19286 7.97796

24.63544 22.11664 17.89342 17.95481 15.58195

42.57004 38.21754 30.91982 31.02591 26.9256

67.59964 60.68804 49.09953 49.26799 42.75685

100.90675 90.58972 73.29142 73.54288 63.82363

143.67386 128.98419 104.35439 104.71242 90.87388

197.08349 176.93305 143.1473 143.63844 124.65553

262.31812 235.49788 190.52906 191.18276 165.91651

340.56026 305.7403 247.35854 248.20722 215.40476432.99241 388.72189 314.49462 315.57365 273.8682

540.79708 485.50427 392.79619 394.14387 342.05477

665.15675 597.14902 483.12214 484.77972 420.71241

807.25394 724.71774 586.33134 588.34304 510.58904

968.27115 869.27203 703.28269 705.69564 612.43261

1149.39086 1031.8735 834.83505 837.69936 726.99104

1351.7956 1213.58373 981.84733 985.21603 855.01227

1576.66785 1415.46433 1145.1784 1149.10749 997.24422


25/45


26/45

UB 610 x 229 x 125 UB 610 x 229 x 139 NPB 450 x 190 x 77.6 NPB 500 x 200 x 90.7

0.002 0.002 0.004 0.003

0.021 0.018 0.059 0.042

0.102 0.09 0.298 0.209

0.322 0.284 0.941 0.659

0.786 0.694 2.297 1.609

1.63 1.438 4.763 3.335

3.02 2.664 8.824 6.178

5.151 4.544 15.054 10.539

8.251 7.278 24.113 16.881

12.576 11.092 36.751 25.729

18.412 16.24 53.807 37.669

26.077 23.001 76.207 53.351

35.918 31.68 104.964 73.483

48.311 42.611 141.182 98.838

63.664 56.153 186.051 130.2582.416 72.693 240.85 168.614

105.033 92.642 306.946 214.886

132.014 116.439 385.795 270.086

163.887 144.552 478.939 335.295

201.21 177.472 588.012 411.654


27/45

UB 610 x 229 x 125 UB 610 x 229 x 139 NPB 450 x 190 x 77.6 NPB 500 x 200 x 90.7

0.11039 0.09737 0.32259 0.225840.88307 0.77889 2.58067 1.80667

2.98036 2.62874 8.70975 6.09749

7.06455 6.23109 20.64532 14.45331

13.79795 12.17009 40.32289 28.22912

23.84285 21.02991 69.67795 48.77991

37.86156 33.39471 110.646 77.46069

56.51638 49.84866 165.16254 115.62646

80.4696 70.97592 235.16307 164.6322

110.38354 97.36065 322.58308 225.83292

146.92049 129.58703 429.35808 300.58361

190.74276 168.23921 557.42356 390.23928242.51264 213.90135 708.71502 496.15492

302.89243 267.15763 885.16796 619.68552

372.54444 328.5922 1088.71788 762.18609

452.13097 398.78923 1321.30027 925.01162

542.31432 478.33288 1584.85064 1109.51711

643.7568 567.80731 1881.30449 1317.05756

757.12069 667.7967 2212.5973 1548.98796

883.06831 778.8852 2580.66459 1806.66332


28/45


29/45

NPB 600 x 220 x 122.4 WPB 600 x 300 x 128.8 WPB 700 x 300 x 204.5

0.002 0.002 0.001

0.022 0.022 0.01

0.11 0.11 0.047

0.345 0.346 0.148

0.842 0.844 0.36

1.746 1.75 0.747

3.234 3.241 1.383

5.517 5.529 2.36

8.836 8.856 3.779

13.467 13.498 5.76

19.717 19.763 8.433

27.926 27.99 11.944

38.464 38.552 16.451

51.735 51.854 22.127

68.177 68.334 29.15988.258 88.46 37.748

112.478 112.736 48.106

141.371 141.696 60.464

175.503 175.907 75.062

215.472 215.967 92.156


30/45

NPB 600 x 220 x 122.4 WPB 600 x 300 x 128.8 WPB 700 x 300 x 204.5

0.11821 0.11848 0.050560.94567 0.94784 0.40446

3.19161 3.19894 1.36504

7.5653 7.58267 3.23564

14.77597 14.8099 6.3196

25.53287 25.59151 10.92026

40.54525 40.63837 17.34097

60.52235 60.66135 25.88507

86.17343 86.37134 36.85588

118.20772 118.4792 50.55676

157.33447 157.69581 67.29105

204.26293 204.73205 87.36208259.70235 260.2988 111.0732

324.36196 325.10692 138.72775

398.95103 399.86729 170.62906

484.17879 485.29079 207.08049

580.75449 582.08829 248.38536

689.38737 690.97067 294.84702

810.78669 812.64881 346.76881

945.66169 947.83357 404.45407


31/45


32/45

WPB 900 x 300 x 291 WPB 600 x 300 x 211.9 HE 900 M

0.001 0.001 0.001 1

0.005 0.012 0.004 2

0.021 0.059 0.018 3

0.065 0.186 0.056 4

0.157 0.454 0.136 5

0.326 0.94 0.282 6

0.603 1.741 0.522 7

1.029 2.97 0.891 8

1.647 4.757 1.427 9

2.51 7.251 2.175 10

3.675 10.615 3.184 11

5.205 15.034 4.509 12

7.169 20.708 6.21 13

9.643 27.853 8.352 14

12.707 36.705 11.007 1516.45 47.515 14.248 16

20.964 60.555 18.158 17

26.349 76.11 22.823 18

32.71 94.486 28.333 19

40.16 116.004 34.785 20


33/45

WPB 900 x 300 x 291 WPB 600 x 300 x 211.9 HE 900 M

0.02204 0.06364 0.019090.17626 0.50912 0.15267

0.59485 1.71826 0.51524

1.41001 4.07292 1.22131

2.75392 7.95491 2.38538

4.75878 13.74608 4.12192

7.55676 21.82827 6.54546

11.28006 32.5833 9.77048

16.06086 46.39302 13.91148

22.03136 63.63925 19.08297

29.32374 84.70384 25.39943

38.07018 109.96863 32.9753648.40289 139.81543 41.92527

60.45404 174.6261 52.36365

74.35582 214.78247 64.405

90.24043 260.66637 78.16381

108.24004 312.65963 93.75459

128.48686 371.1441 111.29183

151.11306 436.50161 130.89003

176.25083 509.11399 152.66369


34/45

W.R

X Axis X Axis X AxisY

AxisCla

Beams/ Columns w H b A Ixx Zxx rxx ryy

Kg/m mm mm cm2 cm4 cm3 cm cm b/tf d/tw

UB 203X133X 25 25.1 203.2 133.2 32 2340 230.3 8.56 3.1 8.54 32.92 Plas

UB 254x146x37 37 256 146.4 47.2 5537 432.6 10.83 3.48 6.72 37.18 Plas

UB 254x146x43 43 259.6 147.3 54.8 6544 504.1 10.93 3.52 5.8 32.53 Plas

UB 305 x 165 x 40 40.3 303.4 165 51.3 8503 560.5 12.87 3.86 8.09 47.17 Plas

UB 305 x 165 x 46 46.1 306.6 165.7 58.8 9899 645.7 12.98 3.9 7.03 42.24 Plas

UB 305 x 165 x 54 54 310.4 166.9 68.8 11700 753.6 13.04 3.93 6.1 35.83 Plas

UB 356 x 171 x 45 45 351.4 171.1 57.3 12070 686.7 14.51 3.76 8.82 47.43 Plas

UB 356 x 171 x 51 51 355 171.5 64.9 14140 796.4 14.76 3.86 7.46 44.87 Plas

UB 356 x 171 x 57 57 358 172.2 72.6 16040 896 14.87 3.91 6.63 40.99 Plas

UB 356 x 171 x 67 67.1 363.4 173.2 85.5 19460 1071 15.09 3.99 5.52 36.49 Plas

UB 406 X 178 X 54 54.1 402.6 177.7 69 18720 930 16.48 3.85 8.16 49.46 Plas

UB 406 X 178 X 60 60.1 406.4 177.9 76.5 21600 1063 16.8 3.97 6.95 48.21 Plas

UB 406 X 178 X 67 67.1 409.4 178.8 85.5 24330 1189 16.87 3.99 6.26 43.28 Plas

UB 406 X 178 X 74 74.2 412.8 179.5 94.5 27310 1323 17 4.04 5.61 40.09 PlasUB 457 x 191 x 67 67.1 453.4 189.9 85.5 29380 1296 18.54 4.12 7.48 50.36 Plas

UB 457 x 191 x 74 74.3 457 190.4 94.6 33320 1458 18.76 4.2 6.57 47.56 Plas

UB 457 x 191 x 82 82 460 191.3 105 37050 1611 18.83 4.23 5.98 43.24 Plas

NPB 450 x 190 x 77.6 77.6 450 190 98.8 33743 1499.7 18.48 4.12 6.51 44.77Equivalent

to IPE 450Plas

NPB 500 x 200 x 90.7 90.7 500 200 116 48199 1927.9 20.43 4.31 6.25 45.89 IPE 500 Plas

UB 457 x 191 x 98 98.3 467.2 192.8 125 45730 1957 19.11 4.33 4.92 37.55 Plas

UB 533 x 210 x 82 82.2 528.3 208.8 105 47540 1800 21.31 4.38 7.91 52.29 Plas

UB 533 x 210 x 92 92.1 533.1 209.3 117 55230 2072 21.69 4.51 6.71 49.7 Plas

UB 533 x 210 x 101 101 536.7 210 129 61520 2292 21.87 4.57 6.04 46.48 Plas

UB 533 x 210 x 122 122 544.5 211.9 155 76040 2793 22.12 4.67 4.98 39.52 PlasUB 610 x 229 x 101 101.2 602.6 227.6 129 75780 2515 24.24 4.75 7.69 54.58 Plas

UB 610 x 229 x 113 113 607.6 228.2 144 87320 2874 24.63 4.88 6.6 51.63 Plas

NPB 600 x 220 x 122.4 122.4 600 220 156 92083 3069.4 24.3 4.66 5.79 46.84 IPE600 Plas

UB 610 x 229 x 125 125.1 612.2 229 159 98610 3221 24.88 4.97 5.85 48.16 Plas

dius of gyyrati

Remarks

PARALLEL FLANGE BEAMS

Area

of

secti

on

ment of Ineional Mo

DescriptionSectional

WeightTotal Depth

Flange

Width


35/45

WPB 600 x 300 x 128.8 128.8 571 300 164 91872 3217.9 23.66 6.53 9.68 45

Equivale

to HE

600AA

UB 610 x 229 x 139 139.9 617.2 230.2 178 111800 3622 25.05 5.08 5.21 43.75

WPB 600 x 300 x 211.9 211.9 600 300 270 171041 5701.4 25.17 7.08 5 34.84Equivale

to HE 600

WPB 700 x 300 x 204.5 204.5 690 300 261 215301 6240.6 28.75 6.65 5.56 43.87Equivale

to HE 700

WPB 900 x 300 x 291 291.45 900 300 371 494065 10979 36.48 6.53 4.29 44.87Equivale

to HE 900

HE 900 M 333 910 302 424 570400 12540 36.7 6.6 3.78 39.53

ISMB 250 37.3 250 125 47.5 5130 410 10.4 2.65 5 32.6

22

OUT STANDING ELEMENT = b/tf

Plastic Compact Semic compact

9.4 10.5 15.7

INTERNAL ELEMENTS web =d/tw

Plastic Compact Semi Compact

84 105 126

assume w = 20

B 203X133X 2 B 254x146x 5 x 16 356 x 171 x 56 x 171 6 X 17 6 X 17 6 X 17 6 X 17 B 457 x 19

w x l^4/((384 x ExI))

1000 4.17 0.053 0.023 0.011 0.011 0.008 0.007 0.006 0.006 0.005 0.005

2000 8.34 0.848 0.359 0.17 0.165 0.124 0.106 0.092 0.082 0.073 0.068

3000 12.5 4.293 1.815 0.86 0.833 0.627 0.537 0.466 0.413 0.368 0.342

4000 16.67 13.567 5.734 2.72 2.631 1.98 1.696 1.47 1.305 1.163 1.081

5000 20.84 33.122 13.998 6.63 6.422 4.832 4.141 3.589 3.186 2.838 2.639

6000 25 68.682 29.026 13.74 13.316 10.02 8.586 7.441 6.606 5.885 5.471

7000 29.17 127.241 53.774 25.45 24.669 18.563 15.906 13.79 12.24 10.903 10.135

8000 33.34 217.067 91.735 43.42 42.083 31.667 27.134 23.52 20.88 18.599 17.289

9000 37.5 347.7 146.942 69.54 67.409 50.725 43.463 37.67 33.44 29.792 27.693

10000 41.67 529.949 223.963 106 102.741 77.312 66.244 57.41 50.97 45.408 42.209

Deflection Criteria Length / 240


36/45

11000 45.84 775.898 327.904 155.2 150.423 113.193 96.988 84.06 74.62 66.482 61

12000 50 1098.902 464.409 219.8 213.043 160.314 137.36 119 105.7 94.158 87

13000 54.17 1513.586 639.659 302.7 293.438 220.81 189.2 164 145.6 129.69 120

14000 58.34 2035.85 860.374 407.2 394.689 297.001 254.48 220.6 195.8 174.44 162

15000 62.5 2682.865 1133.81 536.6 520.125 391.391 335.36 290.6 258 229.88 21

16000 66.67 3473.071 1467.76 694.6 673.321 506.67 434.13 376.3 334 297.58 276

17000 70.84 4426.183 1870.556 885.2 858.1 645.715 553.27 479.5 425.7 379.25 352

18000 75 5563.187 2351.067 1113 1078.531 811.588 695.4 602.7 535.1 476.67 443

19000 79.17 6906.342 2918.7 1381 1338.927 1007.53 863.29 748.2 664.2 591.76 550

20000 83.34 8479.176 3583.398 1696 1643.851 1236.99 1059.9 918.6 815.5 726.52 675


37/45

Maximuml

Deflection

for that

span l/240

16.67

20.84

50

54.17

25

29.17

33.34

37.5

41.67

45.84


38/45

62.5

70.84

79.17

533 x 210 x 1UB 533 x 210 x 12 UB 610 x 229 x 101 B 610 x 229 x 11 UB 610 x 229 x 12 UB 610 x 229 x 13 PB 450 x 190 x 77.PB 500 x 200 x 90

0.003 0.002 0.002 0.002 0.002 0.002 0.004 0.003

0.033 0.027 0.027 0.023 0.021 0.018 0.059 0.042

0.164 0.133 0.133 0.116 0.102 0.09 0.298 0.209

0.517 0.418 0.419 0.364 0.322 0.284 0.941 0.659

1.26 1.02 1.023 0.888 0.786 0.694 2.297 1.609

2.613 2.114 2.121 1.841 1.63 1.438 4.763 3.335

4.84 3.916 3.93 3.41 3.02 2.664 8.824 6.178

8.257 6.68 6.703 5.817 5.151 4.544 15.054 10.539

13.226 10.7 10.737 9.318 8.251 7.278 24.113 16.881

20.158 16.309 16.365 14.202 12.576 11.092 36.751 25.729

.

83.34


39/45

29.513 23.877 23.959 20.793 18.412 16.24 53.807 37.669

41.799 33.817 33.933 29.449 26.077 23.001 76.207 53.351

57.572 46.578 46.738 40.562 35.918 31.68 104.964 73.483

77.437 62.65 62.865 54.557 48.311 42.611 141.182 98.838

102.047 82.561 82.844 71.896 63.664 56.153 186.051 130.25

132.104 106.878 107.245 93.072 82.416 72.693 240.85 168.614

168.357 136.209 136.676 118.613 105.033 92.642 306.946 214.886

211.604 171.198 171.785 149.083 132.014 116.439 385.795 270.086

262.693 212.531 213.26 185.077 163.887 144.552 478.939 335.295

322.518 260.933 261.828 227.225 201.21 177.472 588.012 411.654


40/45


41/45

PB 900 x 300 x 29PB 600 x 300 x 211 HE 900 M

0.001 #REF! 0.001 1

0.005 #REF! 0.004 2

0.021 #REF! 0.018 3

0.065 #REF! 0.056 4

0.157 #REF! 0.136 5

0.326 #REF! 0.282 6

0.603 #REF! 0.522 7

1.029 #REF! 0.891 8

1.647 #REF! 1.427 9

2.51 #REF! 2.175 10


42/45

3.675 #REF! 3.184 11

5.205 #REF! 4.509 12

7.169 #REF! 6.21 13

9.643 #REF! 8.352 14

12.707 #REF! 11.007 15

16.45 #REF! 14.248 16

20.964 #REF! 18.158 17

26.349 #REF! 22.823 18

32.71 #REF! 28.333 19

40.16 #REF! 34.785 20


43/45

X Axis Y Axis X Axis Y Axis X Axis Y Axis

Beams/ Columns w H b tw tf A Ixx Iyy Zxx Zyy rxx ryy

Kg/m mm mm mm mm cm2 cm4 cm4 cm3 cm3 cm cm

UC 152x152x23 23 152.4 152.2 5.8 6.8 29.25 1250 399.9 164 52.55 6.54 3.7

UC 203 x 203 X 46 46.1 203.2 203.6 7.2 11 58.73 4568 1548 449.6 152.1 8.82 5.13

UC 203 x 203 X 52 52 206.2 204.3 7.9 12.5 66.28 5259 1778 510.1 174 8.91 5.18

UC 203 x 203 X 60 60 209.6 205.8 9.4 14.2 76.27 6125 2065 584.4 200.6 8.96 5.2

UC 254 X 254 X 73 73.1 254.1 254.6 8.6 14.2 93.1 11420 3908 897.9 307 11.07 6.48

UC 254 X 254 X 89 88.9 260.3 256.3 10.3 17.3 113.3 14270 4857 1096 379 11.22 6.55

UC 305 x 305 x 97 96.9 307.9 305.3 9.9 15.4 123.4 22250 7308 1445 478.7 13.42 7.69

UC 305 x 305 x 118 117.9 314.5 307.4 12 18.7 150.2 27670 9059 1760 589.4 13.57 7.77

UC 305 x 305 x 137 136.9 320.5 309.2 13.8 21.7 174.4 32810 10700 2048 692.2 13.72 7.83

UC 305 x 305 x 158 158.1 327.1 311.2 15.8 25 203.4 38750 12570 2369 807.8 13.87 7.9

UC 305 x 305 x 198 198.1 339.9 314.5 19.1 31.4 252.4 50900 16300 2995 1037 14.2 8.04

UC 305 x 305 x 240 240 352.5 318.4 23 37.7 305.8 64200 20310 3643 1276 14.49 8.15

UC 305 x 305 x 283 282.9 365.3 322.2 26.8 44.1 360.4 78870 24630 4318 1529 14.79 8.27

UC 356 x 368 x 153 152.9 362 370.5 12.3 20.7 194.8 48590 17550 2684 947.5 15.79 9.49

UC 356 x 368 x 177 177 368.2 372.6 14.4 23.8 225.5 57120 20530 3103 1102 15.91 9.54

UC 356 x 368 x 202 201.9 365.3 374.7 16.5 27 257.2 66260 23690 3538 1264 16.05 9.6

Area of

section

Moment of Inertia Sectional Modulus adius of gyyrati

ARALLEL FLANGE COLUMN

DescriptionSectiona

l Weight

Total

Depth

Flange

Width

Thickn

ess of

Thickn

ess of


44/45

4

7

7

7

8 r 9

8 r 9

10

10

10

10

11

11

11

13

13

13

Length of

Column

in m


45/45

4.375

48.125

4.010417

Documents

Slender Ness Ratio for Beams