DESIGN OF MONORAIL
Project No. : 3435-BOROUGE 2. Date: 6/6/2008
Prepared By: ADJ Checked By: JP
Monorail capacity P1 3 T
PTOTAL = 1.50 x P1 (including impact = 50% of Monorail Capacity) = 45.00 kN …Ref.:BGS-CU-002, sect 10.8
Span ( L) 8 m
Overhang (o) Enter zero or positive value 2 m Suggested value
Maximum bending moment @ major axis = Mz = 100.7 kN-m 102.40 kN-m
Maximum bending moment @ minor axis = My From STAAD = 9.00 kN-m 0.00 kN-m
Maximum shear force = Fymax = 48.04 kN 51.20 kN
Yield stress as per EN10025 Grade S275 JR fy 248 N/mm2
35.97 ksi
Modulus of Elasticity E 210000 N/mm2
Unsupported length for lateral bending ly 8 m
Design of beam for bending in major and minor direction
Assume section HEA500 safe
Properties of section d 490 mm bf 300 mm tf 23 mm tw 12 mm Af 69 cm2 Iz 86970 cm4 Sz 3550 cm3 wt 155 Kg/m ryy 7.24 cm a outer edge d/Af 0.07 /mm A 198 cm2 60 La h 390 mm Beff. web
A. Combined Stress Checks
Width of beam , bf = 300 mm a
C/C distance of wheel = a 326mm …assumed outer edge
Contact Area of the Wheel = c 50mm …assumed 60°
La
Root radius for the section = r 27 mm
Lever arm for the moment = La = ( bf/2 - (tw/2)-r)*0.5 Beff. web
= 58.50 mm
Eff. width to resist moment = Beff =(if [2*La*tan(600)+c]<a,[2*La*tan(600)+c],[2*La*tan(600)+c]+a) 252.65 mm
Reaction on one side of flange Pt = PTOTAL/4
= 45 / 4
= 11.25 kN
Bending Moment @ face of web = M = Pt x La
= (11.25 x 58.5 /1000 )
= 0.66 kN-m
Local Bending of Flange:
M1 = Bending Moment @ face of web = M = 0.66 kN-m
Z1 = Section Modulus of the Cross-section of the Flange = (Beff x tf 2
DESIGN OF MONORAIL
Project No. : 3435-BOROUGE 2. Date: 6/6/2008
Prepared By: ADJ Checked By: JP
s1 = M1/Z1 = 29629 kN/m 2
Vertical Bending of the Beam:
M2 = Maximum Bending Moment @ major axis of the Beam = 100.7 kN-m Z2 = Section Modulus of the Beam @ its major axis = 3550 cm
3 = 0.00355 m3 s2 = M2/Z2 = 28358 kN/m 2 sR = (s1 2 +s2 2 ) = 41013 kN/m2
A-1. Check for Combined Action of (Vertical Bending+Plan Bending+Local Bending of Flange)
IR1 = Interaction Ratio from STAAD = 0.88 From STAAD
(combined vertical & plan bending effect)
IR2 = s1/(0.66fy) = 0.181
(local bending of the flange)
Resultant IRR = ((IR1) 2
+(IR2) 2
) = 0.898 < 1 Safe
A-2. Combined Shear & Tension Stress (as per AISC ASD - Eqn G5-1)
(sR <= 0.60Fy) & [sR <=(0.825 - 0.375(fv/Fv))Fy] where:
fv = computed average web shear stress (Fymax/web area)
= Fymax/(h*tw) = 10265 kN/m 2 Fv = 0.4Fy = 0.4*345000(kN/m2) = 99200 kN/m2 (0.825-0.375(fv/Fv))Fy = 194976 kN/m2 0.60*Fy = 0.60*345000(kN/m2) = 148800 kN/m2 Check1 = (sR <= 0.60Fy) = OK
DESIGN OF MONORAIL
Project No. : 3435-BOROUGE 2. Date: 6/6/2008
Prepared By: ADJ Checked By: JP
table II Estimating guide for monorail trollys and hoist
WEIGHT OF ELECTRIC TROLLY AND HOIST WEIGHT OF HAND OPERATEDTROLLY AND HOIST C/C DISTANCE BETWEEN WHEELS
lb lb MM 1 1655 300 261 1.5 1655 300 261 2 1655 300 293 3 1655 400 326 4 1655 400 326 4.5 1655 400 326 5 1655 400 388 6 2205 600 388 7.5 2205 600 388 8 2500 700 388 9 2500 700 388 10 3000 800 471 11 3000 800 471 12 3000 800 471 13 3000 471 14 3000 471 15 4000 471 16 4000 471 17 4000 471 18 4000 471 19 4000 471 20 5000 471 21 5550 471 35 7000 471
SECTIONAL PROPERTIES Sect D B tw tf A Af Ix Zx Iy rx ry KG/M D WT r h-2c (h-(h-2c))/2 mm mm cm2 cm2 cm4 cm3 cm4 cm cm in lb/ft mm HEA180 HEA 180 171 180 6 9.5 45.3 17.1 2510 294 925 10.3 4.52 35.5 6.73 23.86 15 122 24.5 HEA200 HEA 200 190 200 6.5 10 53.8 20 3690 389 1340 8.3 5.0 42.3 7.48 28.43 18 134 28 HEA220 HEA 220 210 220 7 11 64.3 24.2 5410 515 1950 9.2 5.5 50.5 8.27 33.94 18 152 29 HEA240 HEA 240 230 240 7.5 12 76.8 28.8 7760 675 2770 10.1 6.0 60.3 9.06 40.52 21 164 33 HEA260 HEA 260 250 260 7.5 12.5 86.8 32.5 10450 836 3670 11.0 6.5 68.2 9.84 45.83 24 177 36.5 HEA280 HEA 280 270 280 8 13 97.3 36.4 13670 1010 4760 11.9 7.0 76.4 10.63 51.34 24 196 37 HEA300 HEA 300 290 300 8.5 14 113 42 18260 1260 6310 12.7 7.5 88.3 11.42 59.34 27 208 41 HEA320 HEA 320 310 300 9 15.5 124 46.5 22930 1480 6990 13.6 7.5 97.6 12.20 65.59 27 225 42.5 HEA340 HEA 340 330 300 9.5 16.5 133 49.5 27690 1680 7440 14.4 7.5 105 12.99 70.56 27 243 43.5 HEA360 HEA 360 350 300 10 17.5 143 52.5 33090 1890 7890 15.2 7.4 112 13.78 75.26 27 261 44.5 HEA400 HEA 400 390 300 11 19 159 57 45070 2310 8560 16.8 7.3 125 15.35 84.00 27 298 46 HEA500 HEA 500 490 300 12 23 198 69 86970 3550 10370 21.0 7.2 155 19.29 104.16 27 390 50 HEA600 HEA 600 590 300 13 25 226 75 141200 4790 11270 25.0 7.1 178 23.23 119.62 27 486 52 HEA700 HEA 700 690 300 14.5 27 260 81 215300 6240 12180 28.8 6.8 204 27.17 137.09 27 582 54 HEA800 HEA 800 790 300 15 28 286 84 303400 7680 12640 32.6 6.6 224 31.10 150.53 30 674 58 HEB160 HEB 160 160 160 8 13 54.3 20.8 2490 311 889 6.8 4.1 42.6 6.30 28.63 15 104 28 HEB180 HEB 180 180 180 8.5 14 65.3 25.2 3830 426 1360 7.7 4.6 51.2 7.09 34.41 15 122 29 HEB200 HEB 200 200 200 9 15 78.1 30 5700 570 2000 8.54 5.07 61.3 7.87 41.19 18 134 33 HEB220 HEB 220 220 220 9.5 16 91 35.2 8090 736 2840 9.43 5.59 71.5 8.66 48.05 18 152 34 HEB240 HEB 240 240 240 10 17 106 40.8 11260 938 3920 10.30 6.08 83.2 9.45 55.91 21 164 38 HEB260 HEB 260 260 260 10 17.5 118 45.5 14920 1150 5130 11.20 6.58 93 10.24 62.50 24 177 41.5 HEB280 HEB 280 280 280 10.5 18 131 50.4 19270 1380 6590 12.10 7.09 103 11.02 69.22 24 196 42 HEB300 HEB 300 300 300 11 19 149 57 25170 1680 8560 13.00 7.58 117 11.81 78.62 27 208 46 HEB320 HEB 320 320 300 11.5 20.5 161 61.5 30820 1930 9240 13.80 7.57 127 12.60 85.34 27 225 47.5 HEB340 HEB 340 340 300 12 21.5 171 64.5 36660 2160 9690 14.60 7.53 134 13.39 90.05 27 243 48.5 HEB360 HEB 360 360 300 12.5 22.5 181 67.5 43190 2400 10140 15.50 7.49 142 14.17 95.42 27 261 49.5 HEB400 HEB 400 400 300 13.5 24 198 72 57680 2880 10820 17.10 7.40 155 15.75 104.16 27 298 51 HEB450 HEB 450 450 300 14 26 218 78 79890 3550 11720 19.10 7.33 171 17.72 114.91 27 344 53 HEB500 HEB 500 500 300 14.5 28 239 84 107200 4290 12620 21.20 7.27 187 19.69 125.66 27 390 55 HEB550 HEB 550 550 300 15 29 254 87 136700 4970 13080 23.20 7.17 199 21.65 133.73 27 438 56 HEB600 HEB 600 600 300 15.5 30 270 90 171000 5700 13530 25.20 7.08 212 23.62 142.46 27 486 57 HEB650 HEB 650 650 300 16 31 286 93 210600 6480 13980 27.10 6.99 225 25.59 151.20 27 534 58 HEB700 HEB 700 700 300 17 32 306 96 256900 7340 14400 29.00 6.87 241 27.56 161.95 27 582 59 HEB800 HEB 800 800 300 17.5 33 334 99 359100 8980 14900 32.80 6.68 262 31.50 176.06 30 674 63 HEB900 HEB 900 900 300 18.5 35 371 105 494100 10980 15820 36.50 6.53 291 35.43 195.55 30 770 65 HEB1000 HEB 1000 1000 300 19 36 400 108 644700 12890 16280 40.10 6.38 314 39.37 211.01 30 868 66 IPE160 IPE 160 160 82 5 7.4 20.1 6.068 869 109 68.3 6.6 1.84 15.8 6.30 10.62 9 127 16.5 IPE180 IPE 180 180 91 5.3 8 23.9 7.28 1320 146 101 7.4 2.05 18.8 7.09 12.63 9 146 17 IPE200 IPE 200 200 100 5.6 8.5 28.5 8.5 1940 194 142 8.3 2.24 22.4 7.87 15.05 12 159 20.5 IPE220 IPE 220 220 110 5.9 9.2 33.4 10.12 2770 252 205 9.1 2.48 26.2 8.66 17.61 12 177 21.5
IPE240 IPE 240 240 120 6.2 9.8 39.1 11.76 3890 324 284 9.97 2.69 30.7 9.45 20.63 15 190 25 IPE270 IPE 270 270 135 6.6 10.2 45.9 13.77 5790 429 420 11.2 3.02 36.1 10.63 24.26 15 219 25.5 IPE300 IPE 300 300 150 7.1 10.7 53.8 16.05 8360 557 604 12.5 3.35 42.2 11.81 28.36 15 248 26 IPE330 IPE 330 330 160 7.5 11.5 62.6 18.4 11770 713 788 13.7 3.55 49.1 12.99 33.00 18 271 29.5 IPE360 IPE 360 360 170 8 12.7 72.7 21.59 16270 904 1040 15.0 3.79 57.1 14.17 38.37 18 298 31 IPE400 IPE 400 400 180 8.6 13.5 84.5 24.3 23130 1160 1320 16.5 3.95 66.3 15.75 44.55 21 331 34.5 IPE450 IPE 450 450 190 9.4 14.6 98.8 27.74 33740 1500 1680 18.5 4.12 77.6 17.72 52.15 21 378 36 IPE500 IPE 500 500 200 10.2 16 116 32 48200 1930 2140 20.4 4.30 90.7 19.69 60.95 21 426 37 IPE550 IPE 550 550 210 11.1 17.2 134 36.12 67120 2440 2670 22.3 4.45 106 21.65 71.23 24 467 41.5 IPE600 IPE 600 600 220 12 19 156 41.8 92080 3070 3390 24.3 4.66 122 23.62 81.98 24 514 43 H500X500X20X40 500 500 20 40 484 200 224481 8979 83361.3333 21.54 13.12 379.9 19.69 255.32 30 HEM180 HEM 180 200 186 14.5 24 113 44.64 7480 748 2580 8.13 4.77 88.9 7.87 59.74 15 122 39 HEM200 HEM 200 220 206 15 25 131 51.5 10640 967 3650 9.00 5.27 103 8.66 69.22 18 134 43 HEM220 HEM 220 240 226 15.5 26 149 58.76 14600 1220 5010 9.89 5.79 117 9.45 78.62 18 152 44 HEM240 HEM 240 270 248 18 32 200 79.36 24290 1800 8150 11.00 6.39 157 10.63 105.50 21 164 53 HEM260 HEM 260 290 268 18 32.5 220 87.1 31310 2160 10450 11.90 6.90 172 11.42 115.58 24 177 56.5 HEM280 HEM 280 310 288 18.5 33 240 95.04 39550 2550 13160 12.80 7.40 189 12.20 127.01 24 196 57 HEM300 HEM 300 340 310 21 39 303 120.9 59200 3480 19400 14.00 8.00 238 13.39 159.94 27 208 66 HEM320 HEM 320 359 309 21 40 312 123.6 68130 3800 19710 14.78 7.95 245 14.13 164.64 27 225 67 HEM340 HEM 340 377 309 21 40 316 123.6 76370 4050 19710 15.55 7.90 248 14.84 166.66 27 243 67 HEM360 HEM 360 395 308 21 40 319 123.2 84870 4300 19520 16.31 7.82 250 15.55 168.00 27 261 67 HEM400 HEM 400 432 307 21 40 326 122.8 104100 4820 19340 17.87 7.70 256 17.01 172.03 27 298 67 HEM500 HEM 500 524 306 21 40 344 122.4 161900 6180 19150 21.69 7.46 270 20.63 181.44 27 390 67 HEM600 HEM 600 620 305 21 40 364 122 237400 7660 18980 25.54 7.22 285 24.41 191.52 27 486 67 HEM700 HEM 700 716 304 21 40 383 121.6 329300 9200 18800 29.32 7.01 301 28.19 202.27 27 582 67 HEM800 HEM 800 814 303 21 40 404 121.2 442600 10870 18630 33.10 6.79 317 32.05 213.02 30 674 70 HEM900 HEM 900 910 302 21 40 424 120.8 570400 12540 18450 36.68 6.60 333 35.83 223.78 30 770 70 HEM1000 HEM 1000 1008 302 21 40 444 120.8 722300 14330 18460 40.33 6.45 349 39.69 234.53 30 868 70 BUS 210 x 220 x 7 x 11 210 220 7 11 61.56 24.2 5184.207 493.734 1952.671 9.18 5.6 48.32 0 0 BUS 230 x 240 x 8 x 12 230 240 8 12 74.08 28.8 7433.156 646.3614 2765.679 10.02 6.1 58.15 0 0 BUS 308 x 305 x 10 x 16 308 305 10 16 125.2 48.8 22577.29 1466.057 7568.333 13.43 7.8 98.28 0 0 BUS 356 x 368 x 12 x 20 356 368 12 20 185.12 73.6 44750.24 2514.059 16616.56 15.55 9.5 145.3 0 0 BUS 360 x 320 x 16 x 20 360 320 16 20 179.2 64 41403.73 2300.207 10933.59 15.20 7.8 140.7 0 0 BUS 368 x 372 x 16 x 25 368 372 16 25 236.88 93 59091.32 3211.485 21460.37 15.79 9.5 186 0 0 BUS 368 x 391 x 16 x 25 368 391 16 25 246.38 97.75 61890.43 3363.61 24917.72 15.85 10 193.4 0 0
BUS 375 x 394 x 20 x 30 375 394 20 30 299.4 118.2 75730.39 4038.954 30602.49 15.90 10 235 0 0 BUS 381 x 395 x 20 x 35 381 395 20 35 338.7 138.25 88049.32 4622.011 35971.49 16.12 10 265.9 0 0 BUS 387 x 397 x 22 x 35 387 397 22 35 347.64 138.95 92206.08 4765.172 36527.75 16.29 10 272.9 0 0 BUS 390 x 300 x 12 x 20 390 300 12 20 162 60 45397.5 2328.077 9005.04 16.74 7.5 127.2 0 0 BUS 393 x 399 x 25 x 40 393 399 25 40 397.45 159.6 106252 5407.225 42388.22 16.35 10 312 0 0 BUS 395 x 395 x 12 x 20 395 395 12 20 200.6 79 60073.43 3041.693 20548.4 17.31 10 157.5 0 0 BUS 395 x 395 x 16 x 20 395 395 16 20 214.8 79 61564.73 3117.201 20555.41 16.93 9.8 168.6 0 0 BUS 400 x 320 x 12 x 25 400 320 12 25 202 80 60620.83 3031.042 13658.37 17.32 8.2 158.6 0 0 BUS 400 x 400 x 20 x 35 400 400 20 35 346 140 99532.83 4976.642 37355.33 16.96 10 271.6 0 0 BUS 400 x 400 x 30 x 40 400 400 30 40 416 160 112298.7 5614.933 42738.67 16.43 10 326.6 0 0 BUS 435 x 320 x 20 x 40 435 320 20 40 327 128 107653.8 4949.601 21869 18.14 8.2 256.7 0 0 BUS 440 x 300 x 12 x 25 440 300 12 25 196.8 75 70594.4 3208.836 11255.62 18.94 7.6 154.5 0 0 BUS 440 x 440 x 30 x 40 440 440 30 40 460 176 152933.3 6951.515 56870.33 18.23 11 361.1 0 0 BUS 450 x 190 x 10 x 16 450 190 10 16 102.6 30.4 34729.3 1543.525 1832.55 18.40 4.2 80.54 0 0 BUS 450 x 320 x 16 x 25 450 320 16 25 224 80 80866.67 3594.074 13666.99 19.00 7.8 175.8 0 0 BUS 470 x 310 x 12 x 20 470 310 12 20 175.6 62 70767.03 3011.363 9936.525 20.07 7.5 137.8 0 0 BUS 480 x 320 x 20 x 40 480 320 20 40 336 128 134912 5621.333 21872 20.04 8.1 263.8 0 0 BUS 480 x 480 x 30 x 40 480 480 30 40 504 192 202368 8432 73818 20.04 12 395.6 0 0 BUS 490 x 300 x 12 x 25 490 300 12 25 202.8 75 89680.9 3660.445 11256.34 21.03 7.5 159.2 0 0 BUS 500 x 200 x 10 x 18 500 200 10 18 118.4 36 50162.54 2006.502 2403.867 20.58 4.5 92.94 0 0 BUS 500 x 300 x 16 x 30 500 300 16 30 250.4 90 110897.9 4435.915 13515.02 21.04 7.3 196.6 0 0 BUS 510 x 510 x 35 x 40 510 510 35 40 558.5 204 249051.5 9766.727 88587.64 21.12 13 438.4 0 0 BUS 530 x 320 x 20 x 40 530 320 20 40 346 128 169192.8 6384.635 21875.33 22.11 8 271.6 0 0
BUS 540 x 310 x 12 x 25 540 310 12 25 213.8 77.5 114620.3 4245.197 12419.97 23.15 7.6 167.8 0 0 BUS 550 x 210 x 12 x 18 550 210 12 18 137.28 37.8 67091.62 2439.695 2785.702 22.11 4.5 107.8 0 0 0 BUS 550 x 300 x 16 x 30 550 300 16 30 258.4 90 137501.5 5000.056 13516.73 23.07 7.2 202.8 0 0 BUS 550 x 550 x 40 x 40 550 550 40 40 628 220 321304.3 11683.79 111167.3 22.62 13 493 0 0 BUS 580 x 320 x 20 x 40 580 320 20 40 356 128 207798.7 7165.471 21878.67 24.16 7.8 279.5 0 0 BUS 580 x 580 x 40 x 40 580 580 40 40 664 232 380541.3 13122.11 130341.3 23.94 14 521.2 0 0 BUS 590 x 300 x 16 x 25 590 300 16 25 236.4 75 140782.7 4772.295 11268.43 24.40 6.9 185.6 0 0 BUS 600 x 220 x 12 x 20 600 220 12 20 155.2 44 91598.93 3053.298 3557.397 24.29 4.8 121.8 0 0 BUS 300 x 320 x 20 x 40 300 320 20 40 300 128 45380 3025.333 21860 12.30 8.5 235.5 0 0 BUS 600 x 300 x 16 x 30 600 300 16 30 266.4 90 167335.2 5577.84 13518.43 25.06 7.1 209.1 0 0 BUS 630 x 630 x 40 x 40 630 630 40 40 724 252 494736.3 15705.92 166991.3 26.14 15 568.3 0 0 BUS 640 x 300 x 16 x 30 640 300 16 30 272.8 90 193594.9 6049.842 13519.8 26.64 7 214.1 0 0 BUS 690 x 300 x 16 x 30 690 300 16 30 280.8 90 229494.6 6652.017 13521.5 28.59 6.9 220.4 0 0 BUS 700 x 300 x 20 x 35 700 300 20 35 336 105 274057 7830.2 15792 28.56 6.9 263.8 0 0 BUS 720 x 320 x 16 x 25 720 320 16 25 267.2 80 233395.1 6483.196 13676.2 29.55 7.2 209.8 0 0 BUS 755 x 270 x 12 x 20 755 270 12 20 193.8 54 182449.3 4833.095 6571.296 30.68 5.8 152.1 0 0 BUS 755 x 270 x 16 x 20 755 270 16 20 222.4 54 194633.5 5155.855 6585.405 29.58 5.4 174.6 0 0 BUS 770 x 270 x 16 x 25 770 270 16 25 250.2 67.5 237157.7 6159.939 8225.826 30.79 5.7 196.4 0 0 BUS 790 x 300 x 16 x 30 790 300 16 30 296.8 90 311923.9 7896.808 13524.92 32.42 6.8 233 0 0 BUS 800 x 240 x 20 x 40 800 240 20 40 336 96 339712 8492.8 9264 31.80 5.3 263.8 0 0 BUS 800 x 240 x 16 x 30 800 240 16 30 262.4 72 267581.9 6689.547 6937.259 31.93 5.1 206 0 0 BUS 800 x 250 x 20 x 40 800 250 20 40 344 100 351274.7 8781.867 10464.67 31.96 5.5 270 0 0 BUS 800 x 300 x 20 x 30 800 300 20 30 328 90 334477.3 8361.933 13549.33 31.93 6.4 257.5 0 0
BUS 800 x 300 x 20 x 35 800 300 20 35 356 105 372293.7 9307.342 15798.67 32.34 6.7 279.5 0 0 BUS 800 x 300 x 20 x 40 800 300 20 40 384 120 409088 10227.2 18048 32.64 6.9 301.4 0 0 BUS 800 x 320 x 20 x 30 800 320 20 30 340 96 352273.3 8806.833 16433.33 32.19 7 266.9 0 0 BUS 800 x 320 x 20 x 40 800 320 20 40 400 128 432213.3 10805.33 21893.33 32.87 7.4 314 0 0 BUS 800 x 340 x 30 x 40 800 340 30 40 488 136 486442.7 12161.07 26364.67 31.57 7.4 383.1 0 0 BUS 800 x 360 x 40 x 40 800 360 40 40 576 144 540672 13516.8 31488 30.64 7.4 452.2 0 0 BUS 800 x 400 x 40 x 40 800 400 40 40 608 160 586922.7 14673.07 43050.67 31.07 8.4 477.3 0 0 BUS 800 x 450 x 40 x 40 800 450 40 40 648 180 644736 16118.4 61134 31.54 9.7 508.7 0 0 BUS 800 x 480 x 40 x 40 800 480 40 40 672 192 679424 16985.6 74112 31.80 11 527.5 0 0 BUS 800 x 500 x 40 x 40 800 500 40 40 688 200 702549.3 17563.73 83717.33 31.96 11 540.1 0 0 BUS 800 x 550 x 40 x 40 800 550 40 40 728 220 760362.7 19009.07 111300.7 32.32 12 571.5 0 0 BUS 800 x 700 x 40 x 40 800 700 40 40 848 280 933802.7 23345.07 229050.7 33.18 16 665.7 0 0 BUS 800 x 800 x 40 x 40 800 800 40 40 928 320 1049429 26235.73 341717.3 33.63 19 728.5 0 0 BUS 800 x 950 x 40 x 40 800 950 40 40 1048 380 1222869 30571.73 571967.3 34.16 23 822.7 0 0 BUS 500 x 500 x 30 x 30 500 500 30 30 432 150 187196 7487.84 62599 20.82 12 339.1 0 0 BUS 1400 x 600 x 30 x 40 1400 600 30 40 876 240 2795152 39930.74 144297 56.49 13 687.7 0 0 BUS 1300 x 500 x 30 x 40 1300 500 30 40 766 200 2042095 31416.85 83607.83 51.63 10 601.3 0 0 BUS 800 x 1000 x 40 x 40 800 1000 40 40 1088 400 1280683 32017.07 667050.7 34.31 25 854.1 0 0 BUS 1000 x 1000 x 40 x 40 1000 1000 40 40 1168 400 2103829 42076.59 667157.3 42.44 24 916.9 0 0 BUS 1300 x 700 x 40 x 40 1300 700 40 40 1048 280 2828669 43517.99 229317.3 51.95 15 822.7 0 0 BUS 1300 x 1000 x 40 x 40 1300 1000 40 40 1288 400 3781549 58177.68 667317.3 54.18 23 1011 0 0 BUS 1200 x 450 x 40 x 40 1200 450 40 40 808 180 1679829 27997.16 61347.33 45.60 8.7 634.3 0 0 BUS 1200 x 950 x 50 x 50 1200 950 50 50 1500 475 3697500 61625 715625 49.65 22 1178 0 0
BUS 1000 x 800 x 40 x 40 1000 800 40 40 1008 320 1734976 34699.52 341824 41.49 18 791.3 0 0 BUS 1000 x 1000 x 40 x 40 1000 1000 40 40 1168 400 2103829 42076.59 667157.3 42.44 24 916.9 0 0 BUS 1300 x 450 x 40 x 40 1300 450 40 40 848 180 2034603 31301.58 61400.67 48.98 8.5 665.7 0 0 BUS 1300 x 950 x 50 x 50 1300 950 50 50 1550 475 4432917 68198.72 715729.2 53.48 21 1217 0 0 BUS 510 x 510 x 50 x 50 510 510 50 50 715 255 299569.6 11747.83 110969.6 20.47 12 561.3 0 0 BUS 1000 x 1000 x 40 x 50 1000 1000 40 50 1360 500 2501333 50026.67 833813.3 42.89 25 1068 0 0 BUS 1200 x 1000 x 40 x 50 1200 1000 40 50 1440 500 3752000 62533.33 833920 51.04 24 1130 0 0 BUS 1300 x 450 x 40 x 50 1300 450 40 50 930 225 2334750 35919.23 76577.5 50.10 9.1 730.1 0 0 BUS 1400 x 950 x 40 x 50 1400 950 40 50 1470 475 5062750 72325 715172.5 58.69 22 1154 0 0 BUS 1400 x 450 x 40 x 50 1400 450 40 50 970 225 2783583 39765.48 76630.83 53.57 8.9 761.5 0 0 BUS 1400 x 1000 x 50 x 50 1400 1000 50 50 1650 500 5473750 78196.43 834687.5 57.60 22 1295 0 0 BUS 1400 x 550 x 50 x 50 1400 550 50 50 1200 275 3422500 48892.86 140000 53.40 11 942 0 0 BUS 800 x 800 x 40 x 50 800 800 40 50 1080 400 1241000 31025 427040 33.90 20 847.8 0 0
UNIT MMS ISECTION D TW D BF TF BF TF AY = TW X DAZ=0.667*2*BF*TF BUS210x220x7x11 210 7 210 220 11 220 11 1470 3194.4 BUS230x240x8x12 230 8 230 240 12 240 12 1840 3801.6 BUS308x305x10x16 308 10 308 305 16 305 16 3080 6441.6 BUS356x368x12x20 356 12 356 368 20 368 20 4272 9715.2 BUS360x320x16x20 360 16 360 320 20 320 20 5760 8448 BUS368x372x16x25 368 16 368 372 25 372 25 5888 12276 BUS368x391x16x25 368 16 368 391 25 391 25 5888 12903 BUS375x394x20x30 375 20 375 394 30 394 30 7500 15602.4 BUS381x395x20x35 381 20 381 395 35 395 35 7620 18249 BUS387x397x22x35 387 22 387 397 35 397 35 8514 18341.4 BUS390x300x12x20 390 12 390 300 20 300 20 4680 7920 BUS393x399x25x40 393 25 393 399 40 399 40 9825 21067.2 BUS395x395x12x20 395 12 395 395 20 395 20 4740 10428 BUS395x395x16x20 395 16 395 395 20 395 20 6320 10428 BUS400x320x12x25 400 12 400 320 25 320 25 4800 10560 BUS400x400x20x35 400 20 400 400 35 400 35 8000 18480 BUS400x400x30x40 400 30 400 400 40 400 40 12000 21120 BUS435x320x20x40 435 20 435 320 40 320 40 8700 16896 BUS440x300x12x25 440 12 440 300 25 300 25 5280 9900 BUS440x440x30x40 440 30 440 440 40 440 40 13200 23232 BUS450x190x10x16 450 10 450 190 16 190 16 4500 4012.8 BUS450x320x16x25 450 16 450 320 25 320 25 7200 10560 BUS470x310x12x20 470 12 470 310 20 310 20 5640 8184 BUS480x320x20x40
BUS480x480x30x40 480 30 480 480 40 480 40 14400 25344 BUS490x300x12x25 490 12 490 300 25 300 25 5880 9900 BUS500x200x10x18 500 10 500 200 18 200 18 5000 4752 BUS500x300x16x30 500 16 500 300 30 300 30 8000 11880 BUS510x510x35x40 510 35 510 510 40 510 40 17850 26928 BUS530x320x20x40 530 20 530 320 40 320 40 10600 16896 BUS540x310x12x25 540 12 540 310 25 310 25 6480 10230 BUS550x210x12x18 550 12 550 210 18 210 18 6600 4989.6 BUS550x300x16x30 550 16 550 300 30 300 30 8800 11880 BUS550x550x40x40 550 40 550 550 40 550 40 22000 29040 BUS580x320x20x40 580 20 580 320 40 320 40 11600 16896 BUS580x580x40x40 580 40 580 580 40 580 40 23200 30624 BUS590x300x16x25 590 16 590 300 25 300 25 9440 9900 BUS600x220x12x20 600 12 600 220 20 220 20 7200 5808 BUS300x320x20x40 300 20 300 320 40 320 40 6000 16896 BUS600x300x16x30 600 16 600 300 30 300 30 9600 11880 BUS630x630x40x40 630 40 630 630 40 630 40 25200 33264 BUS640x300x16x30 640 16 640 300 30 300 30 10240 11880 BUS690x300x16x30 690 16 690 300 30 300 30 11040 11880 BUS700x300x20x35 700 20 700 300 35 300 35 14000 13860 BUS720x320x16x25 720 16 720 320 25 320 25 11520 10560 BUS755x270x12x20 755 12 755 270 20 270 20 9060 7128 BUS755x270x16x20 755 16 755 270 20 270 20 12080 7128 BUS770x270x16x25 770 16 770 270 25 270 25 12320 8910 BUS790x300x16x30 790 16 790 300 30 300 30 12640 11880 BUS800x240x20x40
BUS800x240x16x30 800 16 800 240 30 240 30 12800 9504 BUS800x250x20x40 800 20 800 250 40 250 40 16000 13200 BUS800x300x20x30 800 20 800 300 30 300 30 16000 11880 BUS800x300x20x35 800 20 800 300 35 300 35 16000 13860 BUS800x300x20x40 800 20 800 300 40 300 40 16000 15840 BUS800x320x20x30 800 20 800 320 30 320 30 16000 12672 BUS800x320x20x40 800 20 800 320 40 320 40 16000 16896 BUS800x340x30x40 800 30 800 340 40 340 40 24000 17952 BUS800x360x40x40 800 40 800 360 40 360 40 32000 19008 BUS800x400x40x40 800 40 800 400 40 400 40 32000 21120 BUS800x450x40x40 800 40 800 450 40 450 40 32000 23760 BUS800x480x40x40 800 40 800 480 40 480 40 32000 25344 BUS800x500x40x40 800 40 800 500 40 500 40 32000 26400 BUS800x550x40x40 800 40 800 550 40 550 40 32000 29040 BUS800x700x40x40 800 40 800 700 40 700 40 32000 36960 BUS800x800x40x40 800 40 800 800 40 800 40 32000 42240 BUS800x950x40x40 800 40 800 950 40 950 40 32000 50160 BUS500x500x30x30 500 30 500 500 30 500 30 15000 19800 BUS1400x600x30x40 1400 30 1400 600 40 600 40 42000 31680 BUS1300x500x30x40 1300 30 1300 500 40 500 40 39000 26400 BUS800x1000x40x40 800 40 800 1000 40 1000 40 32000 52800 BUS1000x1000x40x40 1000 40 1000 1000 40 1000 40 40000 52800 BUS1300x700x40x40 1300 40 1300 700 40 700 40 52000 36960 BUS1300x1000x40x40 1300 40 1300 1000 40 1000 40 52000 52800 BUS1200x450x40x40 1200 40 1200 450 40 450 40 48000 23760 BUS1200x950x50x50
BUS1000x800x40x40 1000 40 1000 800 40 800 40 40000 42240 BUS1000x1000x40x40 1000 40 1000 1000 40 1000 40 40000 52800 BUS1300x450x40x40 1300 40 1300 450 40 450 40 52000 23760 BUS1300x950x50x50 1300 50 1300 950 50 950 50 65000 62700 BUS510x510x50x50 510 50 510 510 50 510 50 25500 33660 BUS1000x1000x40x50 1000 40 1000 1000 50 1000 50 40000 66000 BUS1200x1000x40x50 1200 40 1200 1000 50 1000 50 48000 66000 BUS1300x450x40x50 1300 40 1300 450 50 450 50 52000 29700 BUS1400x950x40x50 1400 40 1400 950 50 950 50 56000 62700 BUS1400x450x40x50 1400 40 1400 450 50 450 50 56000 29700 BUS1400x1000x50x50 1400 50 1400 1000 50 1000 50 70000 66000 BUS1400x550x50x50 1400 50 1400 550 50 550 50 70000 36300 BUS800x800x40x50 800 40 800 800 50 800 50 32000 52800
J=1/3*(2*BFXTF^3+(D-2*TF)*TW^3)AREA WEIGHT Ix Zx Iy Zy ry mm^2 Cm^4 Cm^3 Cm^4 Cm^3 mm 216708 6156 48.3246 5184.207 493.734 1952.671 177.5155 56.32033 311637.3 7408 58.1528 7433.156 646.3614 2765.679 230.4732 61.10129 924853.3 12520 98.282 22577.29 1466.057 7568.333 496.2842 77.74956 2144683 18512 145.3192 44750.24 2514.059 16616.56 903.074 94.7423 2143573 17920 140.672 41403.73 2300.207 10933.59 683.3493 78.11103 4309176 23688 185.9508 59091.32 3211.485 21460.37 1153.784 95.18192 4507093 24638 193.4083 61890.43 3363.61 24917.72 1274.564 100.5661 7932000 29940 235.029 75730.39 4038.954 30602.49 1553.426 101.1003 12119750 33870 265.8795 88049.32 4622.011 35971.49 1821.341 103.0556 12472722 34764 272.8974 92206.08 4765.172 36527.75 1840.189 102.5054 1801600 16200 127.17 45397.5 2328.077 9005.04 600.336 74.55647 18654208 39745 311.9983 106252 5407.225 42388.22 2124.723 103.2717 2311147 20060 157.471 60073.43 3041.693 20548.4 1040.426 101.21 2591360 21480 168.618 61564.73 3117.201 20555.41 1040.78 97.82411 3534933 20200 158.57 60620.83 3031.042 13658.37 853.6483 82.22877 12313333 34600 271.61 99532.83 4976.642 37355.33 1867.767 103.9054 19946667 41600 326.56 112298.7 5614.933 42738.67 2136.933 101.3594 14600000 32700 256.695 107653.8 4949.601 21869 1366.813 81.77877 3349640 19680 154.488 70594.4 3208.836 11255.62 750.3744 75.62617 22013333 46000 361.1 152933.3 6951.515 56870.33 2585.015 111.1895 658160 10260 80.541 34729.3 1543.525 1832.55 192.9 42.26241 3879467 22400 175.84 80866.67 3594.074 13666.99 854.1867 78.11103 1901013 17560 137.846 70767.03 3011.363 9936.525 641.0662 75.22376
24080000 50400 395.64 202368 8432 73818 3075.75 121.0224 3378440 20280 159.198 89680.9 3660.445 11256.34 750.4224 74.50142 932266.7 11840 92.944 50162.54 2006.502 2403.867 240.3867 45.05877 6000747 25040 196.564 110897.9 4435.915 13515.02 901.0012 73.46681 27905417 55850 438.4225 249051.5 9766.727 88587.64 3474.025 125.9433 14853333 34600 271.61 169192.8 6384.635 21875.33 1367.208 79.51321 3511407 21380 167.833 114620.3 4245.197 12419.97 801.2886 76.21781 1112544 13728 107.7648 67091.62 2439.695 2785.702 265.3049 45.04677 6069013 25840 202.844 137501.5 5000.056 13516.73 901.115 72.32517 33493333 62800 492.98 321304.3 11683.79 111167.3 4042.448 133.0481 14986667 35600 279.46 207798.7 7165.471 21878.67 1367.417 78.39447 35413333 66400 521.24 380541.3 13122.11 130341.3 4494.529 140.1061 3862280 23640 185.574 140782.7 4772.295 11268.43 751.2288 69.04115 1495893 15520 121.832 91598.93 3053.298 3557.397 323.3998 47.87627 14240000 30000 235.5 45380 3025.333 21860 1366.25 85.36197 6137280 26640 209.124 167335.2 5577.84 13518.43 901.2288 71.23543 38613333 72400 568.34 494736.3 15705.92 166991.3 5301.312 151.872 6191893 27280 214.148 193594.9 6049.842 13519.8 901.3198 70.39842 6260160 28080 220.428 229494.6 6652.017 13521.5 901.4336 69.39273 10255000 33600 263.76 274057 7830.2 15792 1052.8 68.55655 4248107 26720 209.752 233395.1 6483.196 13676.2 854.7627 71.54257 1851840 19380 152.133 182449.3 4833.095 6571.296 486.7627 58.23025 2416213 22240 174.584 194633.5 5155.855 6585.405 487.8078 54.41566 3795540 25020 196.407 237157.7 6159.939 8225.826 609.3204 57.33847 6396693 29680 232.988 311923.9 7896.808 13524.92 901.6612 67.50491
5330347 26240 205.984 267581.9 6689.547 6937.259 578.1049 51.41763 12586667 34400 270.04 351274.7 8781.867 10464.67 837.1733 55.15482 7373333 32800 257.48 334477.3 8361.933 13549.33 903.2889 64.27203 10521667 35600 279.46 372293.7 9307.342 15798.67 1053.244 66.61702 14720000 38400 301.44 409088 10227.2 18048 1203.2 68.55655 7733333 34000 266.9 352273.3 8806.833 16433.33 1027.083 69.52218 15573333 40000 314 432213.3 10805.33 21893.33 1368.333 73.98198 20986667 48800 383.08 486442.7 12161.07 26364.67 1550.863 73.50235 30720000 57600 452.16 540672 13516.8 31488 1749.333 73.93691 32426667 60800 477.28 586922.7 14673.07 43050.67 2152.533 84.14691 34560000 64800 508.68 644736 16118.4 61134 2717.067 97.13012 35840000 67200 527.52 679424 16985.6 74112 3088 105.017 36693333 68800 540.08 702549.3 17563.73 83717.33 3348.693 110.3096 38826667 72800 571.48 760362.7 19009.07 111300.7 4047.297 123.6469 45226667 84800 665.68 933802.7 23345.07 229050.7 6544.305 164.3493 49493333 92800 728.48 1049429 26235.73 341717.3 8542.933 191.8932 55893333 104800 822.68 1222869 30571.73 571967.3 12041.42 233.6173 12960000 43200 339.12 187196 7487.84 62599 2503.96 120.3765 37480000 87600 687.66 2795152 39930.74 144297 4809.9 128.3443 32313333 76600 601.31 2042095 31416.85 83607.83 3344.313 104.4742 58026667 108800 854.08 1280683 32017.07 667050.7 13341.01 247.6082 62293333 116800 916.88 2103829 42076.59 667157.3 13343.15 238.9971 55893333 104800 822.68 2828669 43517.99 229317.3 6551.924 147.9237 68693333 128800 1011.08 3781549 58177.68 667317.3 13346.35 227.6189 43093333 80800 634.28 1679829 27997.16 61347.33 2726.548 87.13491
53760000 100800 791.28 1734976 34699.52 341824 8545.6 184.1497 62293333 116800 916.88 2103829 42076.59 667157.3 13343.15 238.9971 45226667 84800 665.68 2034603 31301.58 61400.67 2728.919 85.09198 1.29E+08 155000 1216.75 4432917 68198.72 715729.2 15067.98 214.8862 59583333 71500 561.275 299569.6 11747.83 110969.6 4351.748 124.5802 1.03E+08 136000 1067.6 2501333 50026.67 833813.3 16676.27 247.6082 1.07E+08 144000 1130.4 3752000 62533.33 833920 16678.4 240.6473 63100000 93000 730.05 2334750 35919.23 76577.5 3403.444 90.74216 1.07E+08 147000 1153.95 5062750 72325 715172.5 15056.26 220.5701 65233333 97000 761.45 2783583 39765.48 76630.83 3405.815 88.88243 1.38E+08 165000 1295.25 5473750 78196.43 834687.5 16693.75 224.9158 1E+08 120000 942 3422500 48892.86 140000 5090.909 108.0123 81600000 108000 847.8 1241000 31025 427040 10676 198.8485
1470 3194.4 219223.3 0 0 -2515.33 1725 3801.6 308823.8 115 0 2813.583 3080 6441.6 935520 0 0 -10666.7 4272 9715.2 2167723 0 0 -23040 5760 8448 2198187 0 0 -54613.3 5888 12276 4377443 0 0 -68266.7 5888 12903 4575359 0 0 -68266.7 7500 15602.4 8092000 0 0 -160000 7620 18249 12306417 0 0 -186667 8514 18341.4 12721175 0 0 -248453 4680 7920 1824640 0 0 -23040 9825 21067.2 19070875 0 0 -416667 4740 10428 2334187 0 0 -23040 6320 10428 2645973 0 0 -54613.3 4800 10560 3563733 0 0 -28800 8000 18480 12500000 0 0 -186667 12000 21120 20666667 0 0 -720000 8700 16896 14813333 0 0 -213333 5280 9900 3378440 0 0 -28800 13200 23232 22733333 0 0 -720000 4500 4012.8 668826.7 0 0 -10666.7 7200 10560 3947733 0 0 -68266.7 5640 8184 1924053 0 0 -23040
14400 25344 24800000 0 0 -720000 5880 9900 3407240 0 0 -28800 5000 4752 944266.7 0 0 -12000 8000 11880 6082667 0 0 -81920 17850 26928 29048750 0 0 -1143333 10600 16896 15066667 0 0 -213333 6480 10230 3540207 0 0 -28800 6600 4989.6 1133280 0 0 -20736 8800 11880 6150933 0 0 -81920 22000 29040 35200000 0 0 -1706667 11600 16896 15200000 0 0 -213333 23200 30624 37120000 0 0 -1706667 9440 9900 3930547 0 0 -68266.7 7200 5808 1518933 0 0 -23040 6000 16896 14453333 0 0 -213333 9600 11880 6219200 0 0 -81920 25200 33264 40320000 0 0 -1706667 10240 11880 6273813 0 0 -81920 11040 11880 6342080 0 0 -81920 14000 13860 10441667 0 0 -186667 11520 10560 4316373 0 0 -68266.7 9060 7128 1874880 0 0 -23040 12080 7128 2470827 0 0 -54613.3 12320 8910 3863807 0 0 -68266.7 12640 11880 6478613 0 0 -81920
12800 9504 5412267 0 0 -81920 16000 13200 12800000 0 0 -213333 16000 11880 7533333 0 0 -160000 16000 13860 10708333 0 0 -186667 16000 15840 14933333 0 0 -213333 16000 12672 7893333 0 0 -160000 16000 16896 15786667 0 0 -213333 24000 17952 21706667 0 0 -720000 32000 19008 32426667 0 0 -1706667 32000 21120 34133333 0 0 -1706667 32000 23760 36266667 0 0 -1706667 32000 25344 37546667 0 0 -1706667 32000 26400 38400000 0 0 -1706667 32000 29040 40533333 0 0 -1706667 32000 36960 46933333 0 0 -1706667 32000 42240 51200000 0 0 -1706667 32000 50160 57600000 0 0 -1706667 15000 19800 13500000 0 0 -540000 42000 31680 38200000 0 0 -720000 39000 26400 33033333 0 0 -720000
Calculation of bending moment and shear force
A. SIMPLY SUPPORTED BEAM OR OVERHANG BEAM WITH LOAD AT CENTRE PTOTAL P4 L o PTOTAL 45.00 #REF! P4 0.00 0 L 8 m o 2 m
Maximum bending moment @ major axis = Mz = 102.40 kN-m Maximum bending moment @ minor axis = My = 0.00 kN-m Maximum shear force = Fymax = 51.20 kN B. OVERHANG BEAM WITH LOAD AT TIP OF OVERHANG
PTOTAL P4 L o PTOTAL 45.00 #REF! P4 0.00 0 L 8.00 m o 2.00 m
Maximum bending moment @ major axis = Mz = 93.10 kN-m Maximum bending moment @ minor axis = My = 0.00 kN-m Maximum shear force = Fymax = 48.10 kN
CRITICAL VALUES
Maximum bending moment @ major axis = Mz = 102.40 kN-m Maximum bending moment @ minor axis = My = 0.00 kN-m Maximum shear force = Fymax = 51.20 kN