02-Beam Design

Slabs Types: Lx (cm) Ly (cm)Right

S 1 : 1 720 600 2S 2 : 2 720 600 2S 3 : 3 300 780 2S 4 : 4 720 280 2S 5 : 5 720 600 2S 6 : 6 720 600 2S 7 : 7 300 780 2S 8 : 8 720 300 2S 9 : 9 720 300 2S 10 : 10 720 720 0S 11 : 11 720 720 2S 12 : 12 300 600 2S 13 : 13 720 780 2S 14 : 14 720 280 2S 15 : 15 720 300 2S 16 : 16 300 720 2S 17 : 17 720 720 2S 18 : 18 720 720 2S 19 : 19 720 720 2S 20 : 20 720 600 0S 21 : 21 300 600 2S 22 : 22 720 780 2S 23 : 23 720 280 2S 24 : 24 720 600 2

plzz put the rebars bent up from right and left side in each joint. At the end joints plzz write zero from which side u don’t have rebars.

S 25 : 25 300 600 2S 26 : 26 720 780 2S 27 : 27 720 300 2S 28 : 28 720 300 2S 29 : 29 720 720 2S 30 : 30 300 720 0S 31 : 31 720 600 2S 32 : 32 720 780 2S 33 : 33 720 280 2S 34 : 34 300 300 2S 35 : 35 720 720 2S 36 : 36 720 720 2S 37 : 37 720 720 2S 38 : 38 720 720 2

39 300 240 720 041 720 242 720 243 300 244 720 245 720 246 720 247 720 248 300 249 720 250 720 051 720 252 300 253 720 254 720 255 720 256 720 257 300 258 720 259 720 260 720 061 300 262 720 263 720 264 720 265 720 2

66 300 267 720 268 720 269 720 270 300 071 720 272 720 273 720 274 720 275 300 276 720 277 720 278 720 279 300 280 720 081 720 282 720 283 720 284 300 285 720 286 720 287 720 288 300 289 720 290 720 091 720 292 720 293 300 294 720 295 720 296 720 297 300 298 720 299 720 2100 0101 2102 2103 2104 2105 2106 2

107 2108 2109 2110 0111 2112 2113 2114 2115 2116 2117 2118 2119 2120 0

Lymbda 1/2 ax ay bx byleft

0 0.00 2 #N/A #N/A #N/A #N/A2 2.00 2 0.0303 0.0056 0.061 02 2.00 2 0.0443 0.0142 0 0.03382 2.00 2 0.0193 0.003 0.0412 02 2.00 2 0.04 0.0146 0 0.03972 2.00 2 0.0294 0.0074 0.0588 0.01472 2.00 2 0.0189 0.004 0.0404 0.00762 2.00 2 0.028 0.0087 0.0555 0.01872 2.00 2 0.0183 0.0046 0.0392 0.00982 2.00 2 0 0 0 00 0.00 2 #N/A #N/A #N/A #N/A2 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 00 0.00 2 #N/A #N/A #N/A #N/A2 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 0

plzz put the rebars bent up from right and left side in each joint. At the end joints plzz write zero from which side u

2 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 00 0.00 2 #N/A #N/A #N/A #N/A2 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 02 2.00 2 0 0 0 0220222222222022222222202222

22222022222222202222222220222222222022222

22220222222222

2.00 23

r n b c n#N/A 1

23 7 1.88 1 1.823 1323 1923 2523 3123 3723 4323 4916 55

#N/A 6123 6723 7323 7923 8523 9123 9723 10323 10923 115

#N/A 12123 12723 13323 139

23 14523 15123 15723 16316 16923 175

#N/A 18123 18723 19323 19923 20523 21123 21723 223

Slabs Types: Lx (cm) Ly (cm) SupportMoment( T.M)

S 1 : 1 720 600 6.52S 2 : 2 720 600 7.11S 3 : 3 300 780 7.67S 4 : 4 720 280 7.45S 5 : 5 720 600 7.74S 6 : 6 720 600 7.54S 7 : 7 300 780 7.45S 8 : 8 720 300 7.67S 9 : 9 720 300 7.11S 10 : 10 720 720 6.52S 11 : 11 720 720 11.66S 12 : 12 300 600 10.89S 13 : 13 720 780 12S 14 : 14 720 280 11.79S 15 : 15 720 300 11.97S 16 : 16 300 720 11.91S 17 : 17 720 720 11.79S 18 : 18 720 720 12S 19 : 19 720 720 10.89S 20 : 20 720 600 11.66S 21 : 21 300 600 6.52

S 22 : 22 720 780 11.66S 23 : 23 720 280 10.89S 24 : 24 720 600 12S 25 : 25 300 600 11.79S 26 : 26 720 780 11.97S 27 : 27 720 300 11.91S 28 : 28 720 300 11.79S 29 : 29 720 720 12S 30 : 30 300 720 10.89S 31 : 31 720 600 11.66S 32 : 32 720 780 6.52S 33 : 33 720 280 11.66S 34 : 34 300 300 10.89S 35 : 35 720 720 12S 36 : 36 720 720 11.79S 37 : 37 720 720 11.97S 38 : 38 720 720 11.91

39 300 11.7940 720 1241 720 10.8942 720 11.6643 300 6.5244 720 11.6645 720 10.8946 720 1247 720 11.7948 300 11.9749 720 11.9150 720 11.7951 720 1252 300 10.8953 720 11.6654 720 6.5255 720 11.6656 720 10.8957 300 1258 720 11.7959 720 11.9760 720 11.9161 300 11.7962 720 12

63 720 10.8964 720 11.6665 720 6.5266 300 11.6667 720 10.8968 720 1269 720 11.7970 300 11.9771 720 11.9172 720 11.7973 720 1274 720 10.8975 300 11.6676 720 6.5277 720 11.6678 720 10.8979 300 1280 720 11.7981 720 11.9782 720 11.9183 720 11.7984 300 1285 720 10.8986 720 11.6687 720 6.5288 300 11.6689 720 10.8990 720 1291 720 11.7992 720 11.9793 300 11.9194 720 11.7995 720 1296 720 10.8997 300 11.6698 720 6.5299 720 11.66100 10.89101 12102 11.79103 11.97

104 11.91105 11.79106 12107 10.89108 11.66

Lymbda Lymbda 1/2 ax ay bx byr n

1.2 1.20 2 0.0428 0.0298 0 0 71.2 1.20 2 0.0357 0.0196 0.0872 0 72.6 2.60 1 #N/A #N/A #N/A #N/A #N/A2 2.00 2 0.0193 0.003 0.0412 0 23

1.2 1.20 2 0.0254 0.0254 0 0.0707 71.2 1.20 2 0.0309 0.0214 0.0703 0.0488 72.6 2.60 1 #N/A #N/A #N/A #N/A #N/A2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A1 1.00 2 0 0 0 0 161 1.00 2 0 0 0 0 32 2.00 2 0 0 0 0 23

1.08 1.10 2 0 0 0 0 52.57 2.60 1 #N/A #N/A #N/A #N/A #N/A2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A2 2.00 2 0 0 0 0 232 2.00 2 0 0 0 0 231 1.00 2 0 0 0 0 31 1.00 2 0 0 0 0 3

1.2 1.20 2 0 0 0 0 72 2.00 2 0 0 0 0 23

1.08 1.10 2 0 0 0 0 52 2.00 2 0 0 0 0 23

1.2 1.20 2 0 0 0 0 72 2.00 2 0 0 0 0 23

1.08 1.10 2 0 0 0 0 52.4 2.40 1 #N/A #N/A #N/A #N/A #N/A2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A1 1.00 2 0 0 0 0 16

2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A1.2 1.20 2 0 0 0 0 7

1.08 1.10 2 0 0 0 0 52.57 2.60 1 #N/A #N/A #N/A #N/A #N/A

1 1.00 2 0 0 0 0 32 2.00 2 0 0 0 0 232 2.00 2 0 0 0 0 231 1.00 2 0 0 0 0 31 1.00 2 0 0 0 0 3

2.00 23

b c n17 1.88 1 1.8131925313743495561677379859197

103109115121

127133139145151157163169175181187193199205211217223

Slabs Types: Lx (cm) Ly (cm) Moment( T.M)S 1 : 1 720 600 5S 2 : 2 99 600 4.52S 3 : 3 300 780 2S 4 : 4 720 280 4.41S 5 : 5 720 600 4.06S 6 : 6 720 600 4.41S 7 : 7 300 780 2S 8 : 8 720 300 4.52S 9 : 9 720 300 5S 10 : 10 720 720 6.8S 11 : 11 720 720 6.6S 12 : 12 300 600 1.5S 13 : 13 720 780 6.5S 14 : 14 720 280 6S 15 : 15 720 300 6.5S 16 : 16 300 720 1.5S 17 : 17 720 720 6.6S 18 : 18 720 720 6.8S 19 : 19 720 720 6.8S 20 : 20 720 600 6.6S 21 : 21 300 600 1.5

S 22 : 22 720 780 6.5S 23 : 23 720 280 6S 24 : 24 720 600 6.5S 25 : 25 300 600 1.5S 26 : 26 720 780 6.6S 27 : 27 720 300 6.8S 28 : 28 720 300 6.8S 29 : 29 720 720 6.6S 30 : 30 300 720 1.5S 31 : 31 720 600 6.5S 32 : 32 720 780 6S 33 : 33 720 280 6.5S 34 : 34 300 300 1.5S 35 : 35 720 720 6.6S 36 : 36 720 720 6.8S 37 : 37 720 720 6.8S 38 : 38 720 720 6.6

39 300 1.540 720 6.541 720 642 720 6.543 300 1.544 720 6.645 720 6.846 720 6.847 720 6.648 300 1.549 720 6.550 720 651 720 6.552 300 1.553 720 6.654 720 6.855 720 6.856 720 6.657 300 1.558 720 6.559 720 660 720 6.561 300 1.562 720 6.6

63 720 6.864 720 6.865 720 6.666 300 1.567 720 6.568 720 669 720 6.570 300 1.571 720 6.672 720 6.873 720 6.874 720 6.675 300 1.576 720 6.577 720 678 720 6.579 300 1.580 720 6.681 720 6.882 720 6.883 720 6.684 300 1.585 720 6.586 720 687 720 6.588 300 1.589 720 6.690 720 6.891 720 6.892 720 6.693 300 1.594 720 6.595 720 696 720 6.597 300 1.598 720 6.699 720 6.8

Lymbda Lymbda 1/2 ax ay bx by r n1.2 1.20 2 0.0428 0.0298 0 0 7

6.06 6.05 1 #N/A #N/A #N/A #N/A #N/A2.6 2.60 1 #N/A #N/A #N/A #N/A #N/A2 2.00 2 0.0193 0.003 0.0412 0 23

1.2 1.20 2 0.0254 0.0254 0 0.0707 71.2 1.20 2 0.0309 0.0214 0.0703 0.0488 72.6 2.60 1 #N/A #N/A #N/A #N/A #N/A2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A1 1.00 2 0 0 0 0 161 1.00 2 0 0 0 0 32 2.00 2 0 0 0 0 23

1.08 1.10 2 0 0 0 0 52.57 2.60 1 #N/A #N/A #N/A #N/A #N/A2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A2 2.00 2 0 0 0 0 232 2.00 2 0 0 0 0 231 1.00 2 0 0 0 0 31 1.00 2 0 0 0 0 3

1.2 1.20 2 0 0 0 0 72 2.00 2 0 0 0 0 23

1.08 1.10 2 0 0 0 0 52 2.00 2 0 0 0 0 23

1.2 1.20 2 0 0 0 0 72 2.00 2 0 0 0 0 23

1.08 1.10 2 0 0 0 0 52.4 2.40 1 #N/A #N/A #N/A #N/A #N/A2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A1 1.00 2 0 0 0 0 16

2.4 2.40 1 #N/A #N/A #N/A #N/A #N/A1.2 1.20 2 0 0 0 0 7

1.08 1.10 2 0 0 0 0 52.57 2.60 1 #N/A #N/A #N/A #N/A #N/A

1 1.00 2 0 0 0 0 32 2.00 2 0 0 0 0 232 2.00 2 0 0 0 0 231 1.00 2 0 0 0 0 31 1.00 2 0 0 0 0 3

2.00 23

b c n17 1.88 1 1.8131925313743495561677379859197

103109115121

127133139145151157163169175181187193199205211217223

1 2r ax ay bx by r ax ay

1 0.0365 0.0365 0 0 1 0.0334 0.02731.05 0.0384 0.0341 0 0 1.05 0.0343 0.02521.1 0.0399 0.033 0 0 1.1 0.0349 0.02311.15 0.0414 0.0314 0 0 1.15 0.0353 0.02131.2 0.0428 0.0298 0 0 1.2 0.0357 0.01961.25 0.044 0.0282 0 0 1.25 0.0359 0.01791.3 0.0452 0.0268 0 0 1.3 0.0359 0.01651.35 0.0461 0.0253 0 0 1.35 0.0358 0.01521.4 0.0409 0.024 0 0 1.4 0.0357 0.0141.45 0.0475 0.0225 0 0 1.45 0.0353 0.01281.5 0.048 0.0214 0 0 1.5 0.035 0.01191.55 0.0484 0.0201 0 0 1.55 0.034 0.01091.6 0.0485 0.0189 0 0 1.6 0.0341 0.01011.65 0.0486 0.0179 0 0 1.65 0.0338 0.00931.7 0.0488 0.0169 0 0 1.7 0.0333 0.00861.75 0.0486 0.0158 0 0 1.75 0.0329 0.0081.8 0.0485 0.0148 0 0 1.8 0.0326 0.00751.85 0.0484 0.014 0 0 1.85 0.0321 0.00691.9 0.048 0.0133 0 0 1.9 0.0316 0.00641.95 0.0476 0.0125 0 0 1.95 0.031 0.0062 0.0473 0.0118 0 0 2 0.0303 0.0056

3bx by r ax ay bx by0.0892 0 1 0.0273 0.0334 0 0.08930.0895 0 1.05 0.0293 0.0325 0 0.08830.0892 0 1.1 0.0313 0.0313 0 0.08670.0885 0 1.15 0.0332 0.0302 0 0.08440.0872 0 1.2 0.0348 0.0292 0 0.0820.0859 0 1.25 0.0363 0.028 0 0.07910.0843 0 1.3 0.0378 0.0269 0 0.0760.0827 0 1.35 0.0391 0.0258 0 0.07260.0808 0 1.4 0.0401 0.0248 0 0.06880.079 0 1.45 0.0411 0.0237 0 0.06540.0772 0 1.5 0.042 0.0228 0 0.0620.0754 0 1.55 0.0427 0.0219 0 0.05850.0735 0 1.6 0.0433 0.0208 0 0.05530.0718 0 1.65 0.0437 0.0198 0 0.05190.0701 0 1.7 0.0441 0.019 0 0.04890.0685 0 1.75 0.0443 0.0181 0 0.0460.0668 0 1.8 0.0444 0.0172 0 0.04320.0653 0 1.85 0.0445 0.0165 0 0.04070.0638 0 1.9 0.0445 0.0157 0 0.03320.0624 0 1.95 0.0444 0.0149 0 0.03590.061 0 2 0.0443 0.0142 0 0.0338


1 0.0267 0.018 0.0694 0 1 0.018 0.02671.05 0.0267 0.0161 0.068 0 1.05 0.0199 0.02561.1 0.0266 0.0146 0.0667 0 1.1 0.0218 0.02621.15 0.0264 0.0131 0.065 0 1.15 0.0236 0.02581.2 0.0261 0.0118 0.0633 0 1.2 0.0254 0.02541.25 0.0257 0.0106 0.0616 0 1.25 0.0271 0.02481.3 0.0254 0.0097 0.0599 0 1.3 0.0287 0.02421.35 0.025 0.0088 0.0582 0 1.35 0.0302 0.02351.4 0.0245 0.008 0.0565 0 1.4 0.0316 0.02291.45 0.024 0.0072 0.055 0 1.45 0.0329 0.02221.5 0.0235 0.0066 0.0534 0 1.5 0.0341 0.02141.55 0.023 0.006 0.0519 0 1.55 0.0352 0.02071.6 0.0226 0.0056 0.0506 0 1.6 0.0362 0.021.65 0.0221 0.0051 0.0493 0 1.65 0.0369 0.01931.7 0.0217 0.0047 0.047 0 1.7 0.0376 0.01861.75 0.0212 0.0043 0.0466 0 1.75 0.0383 0.01791.8 0.0208 0.004 0.0454 0 1.8 0.0388 0.01721.85 0.0204 0.0037 0.0443 0 1.85 0.0393 0.01651.9 0.0199 0.0034 0.0432 0 1.9 0.0396 0.01581.95 0.0196 0.0032 0.0422 0 1.95 0.0398 0.01522 0.0193 0.003 0.0412 0 2 0.04 0.0146

6bx by r ax ay bx by

0 0.0694 1 0.0269 0.0269 0.0625 0.06250 0.0705 1.05 0.0282 0.0255 0.0655 0.0590 0.0708 1.1 0.0292 0.0242 0.0675 0.05580 0.071 1.15 0.0301 0.0228 0.0691 0.05220 0.0707 1.2 0.0309 0.0214 0.0703 0.04880 0.07 1.25 0.0314 0.0202 0.071 0.04540 0.0689 1.3 0.0319 0.0188 0.0711 0.04210 0.0676 1.35 0.032 0.0176 0.0711 0.03910 0.066 1.4 0.0323 0.0165 0.0709 0.03610 0.0641 1.45 0.0324 0.0154 0.0703 0.03340 0.0621 1.5 0.0324 0.0144 0.0695 0.0310 0.0599 1.55 0.0323 0.0134 0.0686 0.02860 0.0577 1.6 0.0321 0.0125 0.0678 0.02650 0.0555 1.65 0.0319 0.0117 0.0668 0.02450 0.0531 1.7 0.0316 0.0109 0.0657 0.02280 0.0507 1.75 0.0313 0.0097 0.0645 0.02110 0.0484 1.8 0.0308 0.0096 0.0635 0.01960 0.0461 1.85 0.0306 0.0089 0.0622 0.01830 0.0439 1.9 0.0302 0.0084 0.0612 0.01690 0.0418 1.95 0.0299 0.0078 0.0599 0.0160 0.0397 2 0.0294 0.0074 0.0588 0.0147


1 0.0226 0.0198 0.0556 0.0417 1 0.0198 0.02261.05 0.0231 0.0198 0.056 0.0385 1.05 0.0213 0.02211.1 0.0234 0.0169 0.0565 0.035 1.1 0.0226 0.02121.15 0.0236 0.0154 0.0564 0.0319 1.15 0.0238 0.02061.2 0.0236 0.0142 0.056 0.0292 1.2 0.0249 0.01981.25 0.0236 0.0132 0.0552 0.0267 1.25 0.0258 0.01891.3 0.0236 0.012 0.0545 0.0242 1.3 0.0266 0.01811.35 0.0233 0.011 0.0536 0.0222 1.35 0.0272 0.01721.4 0.023 0.0102 0.0526 0.0202 1.4 0.0279 0.01621.45 0.0238 0.0094 0.0516 0.0185 1.45 0.0282 0.01541.5 0.0225 0.0086 0.0506 0.0169 1.5 0.0285 0.01461.55 0.0221 0.0079 0.0495 0.0155 1.55 0.0289 0.01381.6 0.0218 0.0073 0.0484 0.0142 1.6 0.0289 0.0131.65 0.0214 0.0067 0.0473 0.0131 1.65 0.029 0.01231.7 0.021 0.0062 0.0462 0.012 1.7 0.029 0.01161.75 0.0206 0.0058 0.0452 0.0112 1.75 0.029 0.01091.8 0.0203 0.0054 0.0442 0.0102 1.8 0.0288 0.01031.85 0.0209 0.005 0.0432 0.0095 1.85 0.0286 0.00971.9 0.0196 0.0046 0.0422 0.0088 1.9 0.0284 0.00921.95 0.0192 0.0043 0.0413 0.0082 0.0282 0.00862 0.0189 0.004 0.0404 0.0076 0.028 0.0087

1.95 2.00

9bx by r ax ay bx by0.0417 0.0556 1 0.0179 0.0179 0.0417 0.04170.045 0.0545 1.05 0.0187 0.0171 0.0437 0.03940.0481 0.053 1.1 0.0194 0.0161 0.045 0.03720.0507 0.0511 1.15 0.02 0.015 0.0461 0.03490.053 0.0491 1.2 0.0204 0.0142 0.0468 0.03250.0549 0.047 1.25 0.0207 0.0133 0.0473 0.03030.0565 0.0447 1.3 0.0208 0.0123 0.0475 0.02810.0577 0.0424 1.35 0.21 0.0115 0.0474 0.02620.0588 0.04 1.4 0.021 0.0107 0.0473 0.0240.0593 0.0377 1.45 0.0209 0.01 0.0469 0.02230.0597 0.0354 1.5 0.0208 0.0093 0.0469 0.02060.0599 0.0332 1.55 0.0206 0.0086 0.0459 0.01910.0599 0.0312 1.6 0.0205 0.008 0.0452 0.01770.0597 0.0293 1.65 0.0202 0.0074 0.0446 0.01640.0594 0.0274 1.7 0.02 0.0069 0.0438 0.01520.0589 0.0256 1.75 0.0197 0.0064 0.0431 0.01410.0583 0.024 1.8 0.0195 0.006 0.0423 0.01310.0576 0.0225 1.85 0.0192 0.0056 0.0415 0.01220.057 0.0212 1.9 0.019 0.0052 0.0408 0.01130.0562 0.0198 1.95 1.0186 0.0049 0.04 0.01070.0555 0.0187 2 0.0183 0.0046 0.0392 0.0098

01 . Slab 01 Calculation

7.2 m 13 cm

6 m 85

5 T/m² 2100

λ= =7.2

= 1.26

0.0428 0.0298 0 0

P = 5×7.2×6 = 216 T

0.0428×216 = 9.2448 T/m²0.0298×216 = 6.4368 T/m²

00

=9.2448×10�×10�

= 0.6435685×100×13�

γ = =1+(1–2×0.64356)½ = #NUM!2 2

=9.2448×10�×10�

= #NUM! cm�#NUM!

×1� 0.7854 cm�###

#NUM!Accepted Steel Bar ###Actual Area of Ste 3.9 cm�

#NUM!

=6.4368×10�×10�

= 0.4480985×100×13�

۲ -۳ -۱: ه: م�حاس�ب� و ان� ح س�ي� د و وان�� دد ي� واځ� ن�� ا ي� ب�� او ک�وو، ه م�حاس�ب� ه ون� �ټ� م�وم�ن! ې& کاي)� ات�� او ې& ي�� ه وان�� س�لب� د ک�ې� ه ب��رخ دې& ه ن�4

. ک�وو ه م�حاس�ب� ان5 ح س�ي� ې& واي)�دوالې: اوږ89 س�لب� د اع: ف اږت)� عاله ف� س�لب� دس�وږ: س�لب� د اوم�ت�: م�ف� اږې� Dش ف� ي�Gب� کر ک�ان� د kg/cm²

اږ: ن�� اسه دن)4 س�لب� د اوم�ت�: م�ف� ي� Dش Dک�ش و ان� ح س�ي� د kg/cm²lmax

lmin

ي& ځ4 0دا < λ کي ک�وون� ا حن ان� واوو خ� و �دواږ ه ن�4 س�لب� و .دې Two Way ن�د و ن� ه λ اوس ن�4 ي& ځ4 ک�وم لو، ږاخ� ه ون� ټ� Z[ب ر ض ي� Dش ح� س�ي! کي� ون� Dش& وې) � م�وم�ن ت� د ه خ Dڅ� دول خ�� د اږه ل�ي4

دې� ول �د دې� :لان�αx = αy = βx = βy =

وه ق� ه مرک�ز م�ت� وله �ن�� دې� ان� ن�� س�لب� ه وو (P) ن�4 ح�شان�� ه �ګ :داږن)qs × l1 × l2

و �ږاوږ ه ن�� لاس ه �ګ داږن) ه ون� �ټ� م�وم�ن! ې& کاي)� ات�� او ې& ي�� ه :وان�� x د م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : Mx = αx × P =� y د م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : My = αy × P =

ې& x د ي)� ا حن ان� ې& ي�� ې& ي)� کا ات�� داد ام�ي� ه ن�4� م�وم�ن ت� : M`x = βx × P =

ې& y د ي)� ا حن ان� ې& ي�� ې& ي)� کا ات�� داد ام�ي� ه ن�4� م�وم�ن ت� : M`y = βy × P =

ه x د م�حاس�ب� و ان� ح س�ي� ې& ي�� ه وان�� د داد ام�ي� ه :ن�4Ao =

Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx

Rst × γ × dه �وګ� ن�� ي� زض ف� ه و 10ن�4 ن� و، �وږ کاږ ت�4 ان5 ح س�ي� م�لي� :

Af = 0.25pd² = 0.25

ه y د م�حاس�ب� و ان� ح س�ي� ې& ي�� ه وان�� د داد ام�ي� ه :ن�4Ao =

My

Rb × b × d²

γ = =1+(1–2×0.44809)½ = 0.661112 21+(1–2 × Ao)½

=6.4368×10�×10�

= 35.66429 cm�2100×0.66111×13

×1� 0.7854 cm�Number of steel bars per run meter = 45.409 ≈ 46

Accepted Steel Bar (46 dia.10 mm)Actual Area of Ste 3.9 cm�


0.99 m 13 cm

6 m 85

4.52 T/m² 2100

λ= =6

= 6.10.99

#N/A #N/A #N/A #N/A

P = 4.52×0.99×6 = 26.8488 T

#N/A#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A

#N/AAccepted Steel Bar ###Actual Area of Ste 3.9 cm�

Ast =My


Af = 0.25pd² = 0.25

ي� واځ� ن�� ه خ Dڅ� ملي& ج�� له و ان� ح س�ي� ول�و �ن�� ک�وو 23د ات� ق�� ې& ي�� .

دوالې: اوږ89 س�لب� د اع: ف اږت)� عاله ف� س�لب� دس�وږ: س�لب� د اوم�ت�: م�ف� اږې� Dش ف� ي�Gب� کر ک�ان� د kg/cm²


lmin




و �ږاوږ ه ن�� لاس ه �ګ داږن) ه ون� �ټ� م�وم�ن! ې& کاي)� ات�� او ې& ي�� ه � x د:وان�� م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : Mx = αx × P =� y د م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : My = αy × P =




Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25

#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A03 . Slab 03 Calculation

3 m 13 cm

7.8 m 85

2 T/m² 2100

λ= =7.8

= 2.63

#N/A #N/A #N/A #N/A

P = 2×3×7.8 = 46.8 T

#N/A#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx

Rst × γ × d

×1� 0.7854 cm�#N/A


#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A



7.2 m 13 cm

2.8 m 85

4.41 T/m² 2100

λ= =7.2

= 2.62.8

0.0193 0.003 0.0412 0

P = 4.41×7.2×2.8 = 88.9056 T

0.0193×88.9056 = 1.71588 T0.003×88.9056 = 0.26672 T/0.0412×88.9056 = 3.66291 T

0

ه �وګ� ن�� ي� زض ف� ه و 10ن�4 ن� و، �وږ کاږ ت�4 ان5 ح س�ي� م�لي� :Af = 0.25pd² = 0.25


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



lmin







ه x د م�حاس�ب� و ان� ح س�ي� ې& ي�� ه وان�� د داد ام�ي� ه :ن�4

=1.71588×10�×10�

= 0.1194585×100×13�

γ = =1+(1–2×0.11945)½ = 0.936212 2

=1.71588×10�×10�

= 6.71353 cm�2100×0.93621×13



=0.26672×10�×10�

= 0.0185785×100×13�

γ = =1+(1–2×0.01857)½ = 0.990632 2

=0.26672×10�×10�

= 0.98624 cm�2100×0.99063×13




7.2 m 13 cm

6 m 85

4.06 T/m² 2100

λ= =7.2

= 1.26

0.0254 0.0254 0 0.0707

P = 4.06×7.2×6 = 175.392 T

Ao =Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25

ي� واځ� ن�� ه خ Dڅ� ملي& ج�� له و ان� ح س�ي� ول�و �ن�� ک�وو 4د ات� ق�� ې& ي�� .ه y د م�حاس�ب� و ان� ح س�ي� ې& ي�� ه وان�� د داد ام�ي� ه :ن�4

Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25

و ن� ول�زو، ان5 ح س�ي� ه خ� ن ب�4 ک�ې� مت�ر ه ن�4 د ان�� ن�� ک�مه ر ب�� ک�م ، ي� م�خ له و م�ق�رږان�� ې� ماي) ت� س�اح� :د




lmin




و �ږاوږ ه ن�� لاس ه �ګ داږن) ه ون� �ټ� م�وم�ن! ې& کاي)� ات�� او ې& ي�� ه :وان��

0.0254×175.392 = 4.45496 T0.0254×175.392 = 4.45496 T

00.0707×175.392 = 12.40021

=4.45496×10�×10�

= 0.3101385×100×13�

γ = =1+(1–2×0.31013)½ = 0.808122 2

=4.45496×10�×10�

= 20.19321 cm�2100×0.80812×13



=4.45496×10�×10�

= 0.3101385×100×13�

γ = =1+(1–2×0.31013)½ = 0.808122 2

=4.45496×10�×10�

= 20.19321 cm�2100×0.80812×13




7.2 m 13 cm

6 m 85

4.41 T/m² 2100

λ= =7.2

= 1.26

� x د م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : Mx = αx × P =� y د م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : My = αy × P =




Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25




lmin

ي& ځ4 0دا < λ کي ک�وون� ا حن ان� واوو خ� و �دواږ ه ن�4 س�لب� و .دې Two Way ن�

0.0309 0.0214 0.0703 0.0488

P = 4.41×7.2×6 = 190.512 T

0.0309×190.512 = 5.88682 T0.0214×190.512 = 4.07696 T0.0703×190.512 = 13.39299 0.0488×190.512 = 9.29699 T

=5.88682×10�×10�

= 0.409885×100×13�

γ = = 1+(1–2×0.4098)½ = 0.712372 2

=5.88682×10�×10�

= 30.27 cm�2100×0.71237×13



=4.07696×10�×10�

= 0.2838185×100×13�

γ = =1+(1–2×0.28381)½ = 0.828782 2

=4.07696×10�×10�

= 18.01916 cm�2100×0.82878×13




د و ن� ه λ اوس ن�4 ي& ځ4 ک�وم لو، ږاخ� ه ون� ټ� Z[ب ر ض ي� Dش ح� س�ي! کي� ون� Dش& وې) � م�وم�ن ت� د ه خ Dڅ� دول خ�� د اږه ل�ي4دې� ول �د دې� :لان�

αx = αy = βx = βy =وه ق� ه مرک�ز م�ت� وله �ن�� دې� ان� ن�� س�لب� ه وو (P) ن�4 ح�شان�� ه �ګ :داږن)

qs × l1 × l2





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25


3 m 13 cm

7.8 m 85

2 T/m² 2100

λ= =7.8

= 2.63

#N/A #N/A #N/A #N/A

P = 2×3×7.8 = 46.8 T

#N/A#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A



lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



7.2 m 13 cm

3 m 85

4.52 T/m² 2100

λ= =7.2

= 2.43

#N/A #N/A #N/A #N/A

P = 4.52×7.2×3 = 97.632 T

#N/A#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A

=#N/A

= #N/A85×100×13�



lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


My

Rb × b × d²

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A



7.2 m 13 cm

3 m 85

5 T/m² 2100

λ= =7.2

= 2.43

#N/A #N/A #N/A #N/A

P = 5×7.2×3 = 108 T

#N/A#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A

#N/AAccepted Steel Bar ###

1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



lmin



وه ق� ه مرک�ز م�ت� وله �ن�� دې� ان� ن�� س�لب� ه وو (P) ن�4 ح�شان�� ه �ګ qs × l1 × l2:داږن)





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25

Actual Area of Ste 3.9 cm�

#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A



7.2 m 13 cm

7.2 m 85

6.8 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.8×7.2×7.2 = 352.512 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx

= 2100×1×13 = 0 cm�

×1� 0.7854 cm�Number of steel bars per run meter = 0 ≈ 0


=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

7.2 m 85

6.6 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.6×7.2×7.2 = 342.144 T

0000

Ast = Rst × γ × dه �وګ� ن�� ي� زض ف� ه و 10ن�4 ن� و، �وږ کاږ ت�4 ان5 ح س�ي� م�لي� :

Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin







=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




3 m 13 cm

6 m 85

1.5 T/m² 2100

λ= =6

= 23

0 0 0 0

P = 1.5×3×6 = 27 T


Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin




0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13






Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

7.8 m 85

6.5 T/m² 2100

λ= =7.8

= 1.17.2

0 0 0 0

P = 6.5×7.2×7.8 = 365.04 T

0000

=0×10�×10�

= 085×100×13�



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin








Mx

Rb × b × d²

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

2.8 m 85

6 T/m² 2100

λ= =7.2

= 2.62.8

#N/A #N/A #N/A #N/A

P = 6×7.2×2.8 = 120.96 T

#N/A

1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin




و �ږاوږ ه ن�� لاس ه �ګ داږن) ه ون� �ټ� م�وم�ن! ې& کاي)� ات�� او ې& ي�� ه � x د:وان�� م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : Mx = αx × P =

#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A



7.2 m 13 cm

3 m 85

6.5 T/m² 2100

λ= =7.2

= 2.43

� y د م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : My = αy × P =ې& x د ي)� ا حن ان� ې& ي�� ې& ي)� کا ات�� داد ام�ي� ه ن�4

� م�وم�ن ت� : M`x = βx × P =ې& y د ي)� ا حن ان� ې& ي�� ې& ي)� کا ات�� داد ام�ي� ه ن�4

� م�وم�ن ت� : M`y = βy × P =


Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



lmin


دې� ول �د دې� :لان�

#N/A #N/A #N/A #N/A

P = 6.5×7.2×3 = 140.4 T

#N/A#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A



3 m 13 cm

7.2 m 85

1.5 T/m² 2100


qs × l1 × l2





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25


اږ: ن�� اسه دن)4 س�لب� د اوم�ت�: م�ف� ي� Dش Dک�ش و ان� ح س�ي� د kg/cm²

λ= =7.2

= 2.43

0 0 0 0

P = 1.5×3×7.2 = 32.4 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



lmax

lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



7.2 m 13 cm

7.2 m 85

6.6 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.6×7.2×7.2 = 342.144 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My

Rst × γ × d




7.2 m 13 cm

7.2 m 85

6.8 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.8×7.2×7.2 = 352.512 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13








lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

7.2 m 85

6.8 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.8×7.2×7.2 = 352.512 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

6 m 85

6.6 T/m² 2100

λ= =7.2

= 1.26

0 0 0 0

P = 6.6×7.2×6 = 285.12 T

0000

=0×10�×10�

= 0

Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin








Mx

= 85×100×13� = 0

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




3 m 13 cm

6 m 85

1.5 T/m² 2100

λ= =6

= 23

0 0 0 0

P = 1.5×3×6 = 27 T

0

Ao = Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin




و �ږاوږ ه ن�� لاس ه �ګ داږن) ه ون� �ټ� م�وم�ن! ې& کاي)� ات�� او ې& ي�� ه :وان�� x د م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : Mx = αx × P =

000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

7.8 m 85

6.5 T/m² 2100

λ= =7.8

= 1.17.2



� م�وم�ن ت� : M`y = βy × P =


Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin

ي& ځ4 0دا < λ کي ک�وون� ا حن ان� واوو خ� و �دواږ ه ن�4 س�لب� و .دې Two Way ن�

0 0 0 0

P = 6.5×7.2×7.8 = 365.04 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




د و ن� ه λ اوس ن�4 ي& ځ4 ک�وم لو، ږاخ� ه ون� ټ� Z[ب ر ض ي� Dش ح� س�ي! کي� ون� Dش& وې) � م�وم�ن ت� د ه خ Dڅ� دول خ�� د اږه ل�ي4دې� ول �د دې� :لان�


qs × l1 × l2





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



7.2 m 13 cm

2.8 m 85

6 T/m² 2100

λ= =7.2

= 2.62.8

0 0 0 0

P = 6×7.2×2.8 = 120.96 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



7.2 m 13 cm

6 m 85

6.5 T/m² 2100

λ= =7.2

= 1.26

0 0 0 0

P = 6.5×7.2×6 = 280.8 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 1





lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

γ = 2 = 2 = 1

=0×10�×10�

= 0 cm�2100×1×13




3 m 13 cm

6 m 85

1.5 T/m² 2100

λ= =6

= 23

0 0 0 0

P = 1.5×3×6 = 27 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



Ast =My


Af = 0.25pd² = 0.25





lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

7.8 m 85

6.6 T/m² 2100

λ= =7.8

= 1.17.2

0 0 0 0

P = 6.6×7.2×7.8 = 370.656 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13


Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx

Rst × γ × d



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

3 m 85

6.8 T/m² 2100

λ= =7.2

= 2.43

#N/A #N/A #N/A #N/A

P = 6.8×7.2×3 = 146.88 T

#N/A#N/A#N/A#N/A




Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin








=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A

Ao =Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25


7.2 m 13 cm

3 m 85

6.8 T/m² 2100

λ= =7.2

= 2.43

#N/A #N/A #N/A #N/A

P = 6.8×7.2×3 = 146.88 T

#N/A#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A



lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


×1� 0.7854 cm�#N/A



7.2 m 13 cm

7.2 m 85

6.6 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.6×7.2×7.2 = 342.144 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 0

Af = 0.25pd² = 0.25



lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

= 85×100×13� = 0

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




3 m 13 cm

7.2 m 85

1.5 T/m² 2100

λ= =7.2

= 2.43

#N/A #N/A #N/A #N/A

P = 1.5×3×7.2 = 32.4 T

#N/A#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A

#N/A

Ao = Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin








Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25

Accepted Steel Bar ###Actual Area of Ste 3.9 cm�

#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A



7.2 m 13 cm

6 m 85

6.5 T/m² 2100

λ= =7.2

= 1.26

0 0 0 0

P = 6.5×7.2×6 = 280.8 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



lmin


دې� ول �د دې� = αx:لان� αy = βx = βy =وه ق� ه مرک�ز م�ت� وله �ن�� دې� ان� ن�� س�لب� ه وو (P) ن�4 ح�شان�� ه �ګ qs × l1 × l2:داږن)





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx

Rst × γ × d



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

7.8 m 85

6 T/m² 2100

λ= =7.8

= 1.17.2

0 0 0 0

P = 6×7.2×7.8 = 336.96 T

0000




Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin


دې� ول �د دې� = αx:لان� αy = βx = βy =وه ق� ه مرک�ز م�ت� وله �ن�� دې� ان� ن�� س�لب� ه وو (P) ن�4 ح�شان�� ه �ګ :داږن)

qs × l1 × l2





=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

2.8 m 85

6.5 T/m² 2100

λ= =7.2

= 2.62.8

#N/A #N/A #N/A #N/A

P = 6.5×7.2×2.8 = 131.04 T

#N/A

Ao =Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin



qs × l1 × l2

و �ږاوږ ه ن�� لاس ه �ګ داږن) ه ون� �ټ� م�وم�ن! ې& کاي)� ات�� او ې& ي�� ه � x د:وان�� م�وم�ن ت� ې& ي)� ا حن ان� ې& ي�� ه وان�� داد ام�ي� ه ن�4 : Mx = αx × P =

#N/A#N/A#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A


#N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

×1� 0.7854 cm�#N/A



3 m 13 cm

3 m 85

1.5 T/m² 2100



� م�وم�ن ت� : M`y = βy × P =


Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25


My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25


اږ: ن�� اسه دن)4 س�لب� د اوم�ت�: م�ف� ي� Dش Dک�ش و ان� ح س�ي� د kg/cm²

λ= =3

= 13

0 0 0 0

P = 1.5×3×3 = 13.5 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



lmax

lmin



qs × l1 × l2





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25




7.2 m 13 cm

7.2 m 85

6.6 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.6×7.2×7.2 = 342.144 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




lmin



qs × l1 × l2





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



7.2 m 13 cm

7.2 m 85

6.8 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.8×7.2×7.2 = 352.512 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2





lmin



qs × l1 × l2





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



Ao =My

Rb × b × d²1+(1–2 × Ao)½

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

7.2 m 85

6.8 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.8×7.2×7.2 = 352.512 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



Ast =My


Af = 0.25pd² = 0.25





lmin



qs × l1 × l2





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




7.2 m 13 cm

7.2 m 85

6.6 T/m² 2100

λ= =7.2

= 17.2

0 0 0 0

P = 6.6×7.2×7.2 = 342.144 T

0000

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13



My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25





lmin



qs × l1 × l2





Mx

Rb × b × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25

Accepted Steel Bar (5 dia.10 mm)و ن� ول�زو، ان5 ح س�ي� ه خ� ن ب�4 ک�ې� مت�ر ه ن�4 د ان�� ن�� ک�مه ر ب�� ک�م ، ي� م�خ له و م�ق�رږان�� ې� ماي) ت� س�اح� :د

Actual Area of Ste 3.9 cm�

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13




Ao =My

Rb × b × d²1+(1–2 × Ao)½

Ast =My


Af = 0.25pd² = 0.25



d 13 cm

rb 85 kg/sq cm

rst 2100 kg/sq cm

9.24486.4368

00

assumed dia.10 mm

#NUM! resulted bars

#NUM! accepted bars#NUM! bentup bars

assumed dia.10 mm

46 resulted bars

46 accepted bars23 bentup bars

#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars

#N/A accepted bars#N/A bentup bars

assumed dia.10 mm

#N/A resulted bars


#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


1.715880.266723.66291

0

assumed dia.10 mm

9 resulted bars


assumed dia.10 mm

2 resulted bars


4.454964.45496

012.4002

assumed dia.10 mm

26 resulted bars


assumed dia.10 mm

26 resulted bars


5.886824.0769613.3939.29699

assumed dia.10 mm

39 resulted bars


assumed dia.10 mm

23 resulted bars


#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


0000

assumed dia.

10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


#N/A

#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0

000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars



0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


#N/A#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars

#N/A accepted bars

#N/A bentup bars

assumed dia.10 mm

#N/A resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


#N/A

#N/A#N/A#N/A

assumed dia.10 mm

#N/A resulted bars


assumed dia.10 mm

#N/A resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars



0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


0000

assumed dia.10 mm

0 resulted bars


assumed dia.10 mm

0 resulted bars


01 .Support between slab 01 and slab 01 :

Slab1: M` y = 0 T/m�Slab1: M` y = 0 T/m�Maximum Momnet at this support : 0

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

= 0×10�×10� = 0 cm�2100×1×13Required Area of steel at support = 0 cm�Provided Area of steel at support = (23×0.25×3.14×1�) + (23×0.25×Provided Area of steel at support = 36.12832 cm�* No Extra Bars Required for Supports.


Slab1: M` x = 0 T/m�Slab1: M` x = 0 T/m�Maximum Momnet at this support : 0

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

= 0×10�×10� = 0 cm�2100×1×13Required Area of steel at support = 0 cm�############


Slab1: M` y = 0 T/m�Slab2: M` y = #N/A T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A

۲ -۳ -۲: ه: م�حاس�ب� و ان� �کاک� ات�� د ږ �اد �ک� دک�وو سره ب��ر ه م�حاس�ب� و ان� ح س�ي� روږې� ض د اږه ل�ي4 و ان� �کاک� ات�� د و ږون� �اد �ک� د :اوس

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast = Msupport

Rst × γ × d

Msupport =Ao =

Msupport

= 85×100×13� = #N/A

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A#N/A#N/A#N/A#N/A#N/A


Slab2: M` y = #N/A T/m�Slab4: M` y = 3.66291 T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A



Slab3: M` y = #N/A T/m�Slab4: M` y = 3.66291 T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A


Ao = Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d


Slab3: M` y = #N/A T/m�Slab14: M` y = #N/A T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13Required Area of steel at support = 0 cm�Provided Area of steel at support = (2×0.25×3.14×1�) + (13×0.25×3Provided Area of steel at support = 11.78097 cm�* No Extra Bars Required for Supports.


Slab14: M` y = #N/A T/m�Slab12: M` y = 0 T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

#N/A#N/A#N/A#N/A#N/A


Slab14: M` x = #N/A T/m�Slab4: M` x = 3.66291 T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A



Slab8: M` x = #N/A T/m�Slab4: M` x = 3.66291 T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A



Slab8: M` x = #N/A T/m�Slab9: M` x = #N/A T/m�Maximum Momnet at this support : #N/A

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

= #N/A = #N/A cm�#N/A#N/A#N/A#N/A#N/A#N/A



=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2


Ao =Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast = Msupport

Rst × γ × d


Slab9: M` x = #N/A T/m�Slab5: M` x = 0 T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A



Slab5: M` y = 12.40021 T/m�Slab5: M` y = 0 T/m�Maximum Momnet at this support : 12.4

=12.40021×10�×10�

= 0.863285×100×13�

γ = = 1+(1–2×0.86322)½ = #NUM!2 2

=12.40021×10�×10�

= #NUM! cm�#NUM!###Provided Area of steel at support = (13×0.25×3.14×1�) + (13×0.25×Provided Area of steel at support = 20.42035 cm�######



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

= 0×10�×10� = 0 cm�

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

= 2100×1×13 = 0 cm�Required Area of steel at support = 0 cm�Provided Area of steel at support = (2×0.25×3.14×1�) + (2×0.25×3.Provided Area of steel at support = 3.14159 cm�* No Extra Bars Required for Supports.



=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A



Slab5: M` y = 12.40021 T/m�Slab6: M` y = 13.39299 T/m�Maximum Momnet at this support : 13.393

=13.39299×10�×10�

= 0.932385×100×13�

γ = = 1+(1–2×0.93233)½ = #NUM!2 2

=13.39299×10�×10� = #NUM! cm�#NUM!###Provided Area of steel at support = (13×0.25×3.14×1�) + (11×0.25×Provided Area of steel at support = 18.84956 cm�######


Slab6: M` x = 13.39299 T/m�Slab15: M` x = #N/A T/m�

Ast = Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Maximum Momnet at this support : #N/A=

#N/A= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A



Slab5: M` y = 12.40021 T/m�Slab7: M` y = #N/A T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=12.40021×10�×10�

= 0.863285×100×13�

γ = = 1+(1–2×0.86322)½ = #NUM!2 2

=12.40021×10�×10�

= #NUM! cm�#NUM!###Provided Area of steel at support = (13×0.25×3.14×1�) + (2×0.25×3Provided Area of steel at support = 11.78097 cm�###

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

###


Slab13: M` x = 0 T/m�Slab7: M` x = #N/A T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

=#N/A




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=12.40021×10�×10�

= 0.863285×100×13�

γ = = 1+(1–2×0.86322)½ = #NUM!2 2

=12.40021×10�×10�

= #NUM! cm�#NUM!###Provided Area of steel at support = (13×0.25×3.14×1�) + (2×0.25×3Provided Area of steel at support = 11.78097 cm�######


Slab18: M` x = 0 T/m�

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Slab12: M` x = 0 T/m�Maximum Momnet at this support : 0

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�2100×1×13Required Area of steel at support = 0 cm�Provided Area of steel at support = (2×0.25×3.14×1�) + (2×0.25×3.Provided Area of steel at support = 3.14159 cm�* No Extra Bars Required for Supports.



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

= 0×10�×10� = 0 cm�2100×1×13Required Area of steel at support = 0 cm�Provided Area of steel at support = (2×0.25×3.14×1�) + (2×0.25×3.Provided Area of steel at support = 3.14159 cm�* No Extra Bars Required for Supports.



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

= 0×10�×10� = 0 cm�2100×1×13Required Area of steel at support = 0 cm�Provided Area of steel at support = (2×0.25×3.14×1�) + (2×0.25×3.

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Provided Area of steel at support = 3.14159 cm�* No Extra Bars Required for Supports.



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²

γ = = 1+(1–2×0)½ = 12 2




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�



1+(1–2 × Ao)½

Ast = Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d


=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A#N/A

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

#N/A#N/A#N/A#N/A



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2




=#N/A

= #N/A

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast = Msupport

Rst × γ × d

Msupport =Ao =

Msupport

= 85×100×13� = #N/A

γ = = #N/A = #N/A2 2

=#N/A




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A



Slab27: M` x = #N/A T/m�Slab28: M` x = #N/A T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A


Ao = Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d



=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A

= #N/A cm�#N/A

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

#N/A#N/A#N/A#N/A#N/A



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2




Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =

=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2


Ao =Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast = Msupport

Rst × γ × d



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�

= 0 cm�

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

= 2100×1×13 = 0 cm�Required Area of steel at support = 0 cm�Provided Area of steel at support = (2×0.25×3.14×1�) + (2×0.25×3.Provided Area of steel at support = 3.14159 cm�* No Extra Bars Required for Supports.



=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�



Slab26: M` x = 0 T/m�Slab29: M` x = 0 T/m�

Ast = Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Maximum Momnet at this support : 0=

0×10�×10�= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

=0×10�×10�


Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d


Slab37: M` x = 0 T/m�Slab30: M` x = #N/A T/m�Maximum Momnet at this support : #N/A

=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2

=#N/A




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

=0×10�×10�




=#N/A

= #N/A85×100×13�

γ = = #N/A = #N/A2 2




=0×10�×10�

= 085×100×13�

γ = = 1+(1–2×0)½ = 12 2


Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast =Msupport

Rst × γ × d

Msupport =Ao =

Msupport

Rb × b × d²1+(1–2 × Ao)½

Ast = Msupport

Rst × γ × d

y Direction

T/m�

Provided Area of steel at support = (23×0.25×3.14×1�) + (23×0.25×

x Direction

T/m�

y Direction

T/m�

۲ -۳ -۲: ه: م�حاس�ب� و ان� �کاک� ات�� د ږ �اد �ک� دک�وو سره ب��ر ه م�حاس�ب� و ان� ح س�ي� روږې� ض د اږه ل�ي4 و ان� �کاک� ات�� د و ږون� �اد �ک� د :اوس

y Direction

T/m�

y Direction

T/m�

y Direction

T/m�

y Direction

T/m�

Provided Area of steel at support = (2×0.25×3.14×1�) + (13×0.25×3

y Direction

T/m�

x Direction

T/m�

x Direction

T/m�

x Direction

T/m�

y Direction

T/m�

y Direction

T/m�

x Direction

T/m�

y Direction

T/m�


y Direction

T/m�

Provided Area of steel at support = (2×0.25×3.14×1�) + (2×0.25×3.

y Direction

T/m�

y Direction

T/m�


x Direction

T/m�

y Direction

T/m�

y Direction

T/m�


x Direction

T/m�

y Direction

T/m�

y Direction

T/m�

x Direction

T/m�

y Direction

T/m�


x Direction

T/m�


x Direction

T/m�


y Direction

T/m�


x Direction

T/m�


y Direction

T/m�


x Direction

T/m�


x Direction

T/m�


y Direction

T/m�


y Direction

T/m�


y Direction

T/m�


y Direction

T/m�

y Direction

T/m�


y Direction

T/m�

x Direction

T/m�

x Direction

T/m�

x Direction

T/m�

y Direction

T/m�

y Direction

T/m�

x Direction

T/m�

y Direction

T/m�


y Direction

T/m�


y Direction

T/m�


y Direction

T/m�


x Direction

T/m�


y Direction

T/m�


y Direction

T/m�


x Direction

T/m�


y Direction

T/m�


y Direction

T/m�


x Direction

T/m�


y Direction

T/m�


x Direction

T/m�


x Direction

T/m�

y Direction

T/m�

x Direction

T/m�


y Direction

T/m�

x Direction

T/m�


y Span Direction

d 13 cm

rb 85 kg/sq cmrst 2100 kg/sq cm

Slab1 Slab123 2310 10 36.1283 cm�

Extra Reinforcement: -36.128Assumed dia. Of extra b 12 cm²

x Span Direction

Slab1 Slab1#NUM! #NUM!

10 10 #NUM! cm�Extra Reinforcement: #NUM!Assumed dia. Of extra b 12 cm²

y Span Direction

Provided Steel

Provided Steel

Slab1 Slab223 #N/A10 10 #N/A cm�

Extra Reinforcement: #N/AAssumed dia. Of extra b 12 cm²

y Span Direction

Slab2 Slab4#N/A 2

10 10 #N/A cm�Extra Reinforcement: #N/AAssumed dia. Of extra b 12 cm²

y Span Direction

Slab3 Slab4#N/A 2


Provided Steel

Provided Steel

Provided Steel

y Span Direction

Slab3 Slab14#N/A #N/A


y Span Direction

Slab4 Slab52 13

10 10 11.781 cm�Extra Reinforcement: -11.781Assumed dia. Of extra b 12 cm²

y Span Direction

Slab14 Slab12

Provided Steel

Provided Steel

Provided Steel

#N/A 210 10 #N/A cm�


x Span Direction

Slab14 Slab4#N/A 4


x Span Direction

Slab8 Slab4#N/A 4


x Span Direction

d Steel

Provided Steel

Provided Steel



y Span Direction



y Span Direction

Slab9 Slab5#N/A 13


Provided Steel

Provided Steel

Provided Steel

x Span Direction

Slab9 Slab5#N/A 13


y Span Direction

Slab5 Slab513 1310 10 20.4204 cm�

Extra Reinforcement: #NUM!Assumed dia. Of extra b 12 cm²

y Span Direction

d 13 cm

rb 85 kg/sq cm

rst 2100 kg/sq cm

Provided Steel

Provided Steel

Slab12 Slab122 2


y Span Direction

Slab12 Slab152 #N/A


y Span Direction

Slab5 Slab613 1110 10 18.8496 cm�


x Span Direction

Provided Steel

Provided Steel

Provided Steel



y Span Direction



y Span Direction

Slab5 Slab1313 210 10 11.781 cm�


Provided Steel

Provided Steel

Provided Steel

x Span Direction

Slab13 Slab72 #N/A


y Span Direction

Slab13 Slab72 #N/A


y Span Direction

Provided Steel

Provided Steel



x Span Direction

Slab7 Slab10#N/A 2


y Span Direction

Slab5 Slab1813 210 10 11.781 cm�


x Span Direction

Provided Steel

Provided Steel

Provided Steel

Slab18 Slab122 2


x Span Direction

Slab18 Slab112 2


y Span Direction

Slab11 Slab162 2

10 10 3.14159 cm�

Provided Steel

Provided Steel

Provided Steel

Extra Reinforcement: -3.1416Assumed dia. Of extra b 16 cm²

x Span Direction

Slab16 Slab162 2


y Span Direction

d 13 cm

rb 85 kg/sq cm

rst 2100 kg/sq cm

Slab11 Slab192 2


x Span Direction

Provided Steel

Provided Steel

Slab19 Slab192 2


x Span Direction

Slab20 Slab202 2


y Span Direction

Slab20 Slab212 2


y Span Direction

Provided Steel

Provided Steel

Provided Steel

Slab21 Slab232 2


y Span Direction

Slab22 Slab232 2


y Span Direction

Slab22 Slab332 #N/A

Provided Steel

Provided Steel

Provided Steel


y Span Direction

Slab23 Slab242 2


y Span Direction

Slab33 Slab31#N/A 2


x Span Direction

Provided Steel

Provided Steel

Slab33 Slab23#N/A 2


x Span Direction

Slab27 Slab23#N/A 2


x Span Direction



Provided Steel

Provided Steel

Provided Steel

y Span Direction



y Span Direction

Slab28 Slab24#N/A 2


x Span Direction

Slab28 Slab24

Provided Steel

Provided Steel

Provided Steel

#N/A 210 10 #N/A cm�


y Span Direction

Slab24 Slab242 2


y Span Direction

d 13 cm

rb 85 kg/sq cm

rst 2100 kg/sq cm

Slab31 Slab312 2


y Span Direction

d Steel

Provided Steel

Provided Steel

Slab34 Slab342 2


y Span Direction

Slab24 Slab252 2


x Span Direction

Slab25 Slab342 2


Provided Steel

Provided Steel

Provided Steel

y Span Direction

Slab24 Slab262 2


y Span Direction

Slab24 Slab322 2


x Span Direction

Provided Steel

Provided Steel

Slab32 Slab262 2


y Span Direction

Slab32 Slab262 2


y Span Direction

Slab26 Slab262 2


x Span Direction

Provided Steel

Provided Steel

Provided Steel

Slab26 Slab292 2


y Span Direction

Slab24 Slab372 2


x Span Direction

Slab37 Slab312 2


Provided Steel

Provided Steel

Provided Steel

x Span Direction

Slab37 Slab302 #N/A


y Span Direction

Slab30 Slab35#N/A 2


x Span Direction

Provided Steel

Provided Steel

Slab35 Slab352 2


y Span Direction

d 13 cm

rb 85 kg/sq cm

rst 2100 kg/sq cm

Slab30 Slab38#N/A 2


x Span Direction

Slab38 Slab382 2


Provided Steel

Provided Steel

Provided Steel

01 Beam 1-2 Calculation

7.2 m 45100

5 T.m 2700

bf =l

=7.2

= 2.43 3

=5×10�×10�

= 0.0247100×240×45�

γ = =1+(1–2×0.02469)½ = 0.9872 2

=5×10�×10�

= 4.1694 cm�2700×0.987×45

×2� = 3.1416 cm�Number of steel bars per run meter = 1.32717 ≈ 2

Accepted Steel Bars: (4 dia.20 mm)Actual Area of Steel: 7.854 cm�


0.99 m 45100

4.52 T.m 2700

bf =l

=0.99

= 0.333 3

=4.52×10�×10�

= 0.0223100×33×45�

γ = =1+(1–2×0.02232)½ = 0.9892 2

=4.52×10�×10�

= 3.7615 cm�2700×0.989×45

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Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p

و ن� ول�زو، ان5 ح س�ي� لوږ Dخ� د ان�� ن�� ک�مه ر ب�� ک�م ، ي� م�خ له و م�ق�رږان�� ې� ت�ماي) س�اح� :د



Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


×1.6� =2.0106 cm�Number of steel bars per run meter = 1.87084 ≈ 2



3 m 45100

2 T.m 2700

bf =l

=3

= 13 3

=2×10�×10�

= 0.0099100×100×45�

γ = =1+(1–2×0.00988)½ = 0.9952 2

=2×10�×10�

= 1.6544 cm�2700×0.995×45




7.2 m 45100

4.41 T.m 2700

bf =l

=7.2

= 2.43 3

=4.41×10�×10�

= 0.0218100×240×45�

γ = =1+(1–2×0.02178)½ = 0.9892 2

=4.41×10�×10�

= 3.67 cm�2700×0.989×45

×1.6� =2.0106 cm�

Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p

Number of steel bars per run meter = 1.82531 ≈ 2



7.2 m 45100

4.06 T.m 2700

bf =l

=7.2

= 2.43 3

=4.06×10�×10�

= 0.0201100×240×45�

γ = =1+(1–2×0.02005)½ = 0.992 2

=4.06×10�×10�

= 3.3753 cm�2700×0.99×45




7.2 m 45100

4.41 T.m 2700

bf =l

=7.2

= 2.43 3

=4.41×10�×10�

= 0.0218100×240×45�

γ = =1+(1–2×0.02178)½ = 0.9892 2

=4.41×10�×10�

= 3.67 cm�2700×0.989×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



3 m 45100

2 T.m 2700

bf =l

=3

= 13 3

=2×10�×10�

= 0.0099100×100×45�

γ = =1+(1–2×0.00988)½ = 0.9952 2

=2×10�×10�

= 1.6544 cm�2700×0.995×45




7.2 m 45100

4.52 T.m 2700

bf =l

=7.2

= 2.43 3

=4.52×10�×10�

= 0.0223100×240×45�

γ = =1+(1–2×0.02232)½ = 0.9892 2

=4.52×10�×10�

= 3.7615 cm�2700×0.989×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



7.2 m 45100

5 T.m 2700

bf =l

=7.2

= 2.43 3

=5×10�×10�

= 0.0247100×240×45�

γ = =1+(1–2×0.02469)½ = 0.9872 2

=5×10�×10�

= 4.1694 cm�2700×0.987×45




7.2 m 45100

6.8 T.m 2700

bf =l

=7.2

= 2.43 3

=6.8×10�×10�

= 0.0336100×240×45�

γ = =1+(1–2×0.03358)½ = 0.9832 2

=6.8×10�×10�

= 5.6935 cm�2700×0.983×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p


7.2 m 45100

6.6 T.m 2700

bf =l

=7.2

= 2.43 3

=6.6×10�×10�

= 0.0326100×240×45�

γ = =1+(1–2×0.03259)½ = 0.9832 2

=6.6×10�×10�

= 5.526 cm�2700×0.983×45




3 m 45100

1.5 T.m 2700

bf =l

=3

= 13 3

=1.5×10�×10�

= 0.0074100×100×45�

γ = =1+(1–2×0.00741)½ = 0.9962 2

=1.5×10�×10�

= 1.2395 cm�2700×0.996×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



7.2 m 45100

6.5 T.m 2700

bf =l

=7.2

= 2.43 3

=6.5×10�×10�

= 0.0321100×240×45�

γ = = 1+(1–2×0.0321)½ = 0.9842 2

=6.5×10�×10�

= 5.4368 cm�2700×0.984×45




7.2 m 45100

6 T.m 2700

bf =l

=7.2

= 2.43 3

=6×10�×10�

= 0.0296100×240×45�

γ = =1+(1–2×0.02963)½ = 0.9852 2

=6×10�×10�

= 5.0135 cm�2700×0.985×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



7.2 m 45100

6.5 T.m 2700

bf =l

=7.2

= 2.43 3

=6.5×10�×10�

= 0.0321100×240×45�

γ = = 1+(1–2×0.0321)½ = 0.9842 2

=6.5×10�×10�

= 5.4368 cm�2700×0.984×45




3 m 45100

1.5 T.m 2700

bf =l

=3

= 13 3

=1.5×10�×10�

= 0.0074100×100×45�

γ = =1+(1–2×0.00741)½ = 0.9962 2

=1.5×10�×10�

= 1.2395 cm�2700×0.996×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



7.2 m 45100

6.6 T.m 2700

bf =l

=7.2

= 2.43 3

=6.6×10�×10�

= 0.0326100×240×45�

γ = =1+(1–2×0.03259)½ = 0.9832 2

=6.6×10�×10�

= 5.526 cm�2700×0.983×45




7.2 m 45100

6.8 T.m 2700

bf =l

=7.2

= 2.43 3

=6.8×10�×10�

= 0.0336100×240×45�

γ = =1+(1–2×0.03358)½ = 0.9832 2

=6.8×10�×10�

= 5.6935 cm�2700×0.983×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



7.2 m 45100

6.8 T.m 2700

bf =l

=7.2

= 2.43 3

=6.8×10�×10�

= 0.0336100×240×45�

γ = =1+(1–2×0.03358)½ = 0.9832 2

=6.8×10�×10�

= 5.6935 cm�2700×0.983×45




7.2 m 45100

6.6 T.m 2700

bf =l

=7.2

= 2.43 3

=6.6×10�×10�

= 0.0326100×240×45�

γ = =1+(1–2×0.03259)½ = 0.9832 2

=6.6×10�×10�

= 5.526 cm�2700×0.983×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



3 m 45100

1.5 T.m 2700

bf =l

=3

= 13 3

=1.5×10�×10�

= 0.0074100×100×45�

γ = =1+(1–2×0.00741)½ = 0.9962 2

=1.5×10�×10�

= 1.2395 cm�2700×0.996×45




7.2 m 45100

6.5 T.m 2700

bf =l

=7.2

= 2.43 3

=6.5×10�×10�

= 0.0321100×240×45�

γ = = 1+(1–2×0.0321)½ = 0.9842 2

=6.5×10�×10�

= 5.4368 cm�2700×0.984×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



7.2 m 45100

6 T.m 2700

bf =l

=7.2

= 2.43 3

=6×10�×10�

= 0.0296100×240×45�

γ = =1+(1–2×0.02963)½ = 0.9852 2

=6×10�×10�

= 5.0135 cm�2700×0.985×45




7.2 m 45100

6.5 T.m 2700

bf =l

=7.2

= 2.43 3

=6.5×10�×10�

= 0.0321100×240×45�

γ = = 1+(1–2×0.0321)½ = 0.9842 2

=6.5×10�×10�

= 5.4368 cm�2700×0.984×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



3 m 45100

1.5 T.m 2700

bf =l

=3

= 13 3

=1.5×10�×10�

= 0.0074100×100×45�

γ = =1+(1–2×0.00741)½ = 0.9962 2

=1.5×10�×10�

= 1.2395 cm�2700×0.996×45




7.2 m 45100

6.6 T.m 2700

bf =l

=7.2

= 2.43 3

=6.6×10�×10�

= 0.0326100×240×45�

γ = =1+(1–2×0.03259)½ = 0.9832 2

=6.6×10�×10�

= 5.526 cm�2700×0.983×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p



7.2 m 45100

6.8 T.m 2700

bf =l

=7.2

= 2.43 3

=6.8×10�×10�

= 0.0336100×240×45�

γ = =1+(1–2×0.03358)½ = 0.9832 2

=6.8×10�×10�

= 5.6935 cm�2700×0.983×45




7.2 m 45100

6.8 T.m 2700

bf =l

=7.2

= 2.43 3

=6.8×10�×10�

= 0.0336100×240×45�

γ = =1+(1–2×0.03358)½ = 0.9832 2

=6.8×10�×10�

= 5.6935 cm�2700×0.983×45





Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p




Ao =Mx

Rb × bf × d²1+(1–2 × Ao)½

Ast =Mx


Af = 0.25pd² = 0.25 p
