Bang tra Thủy Lực Công Trình

MỘT SỐ BẢNG TRA MÔN
THỦY LỰC CÔNG TRÌNH

TRỊ SỐ PHÂN GIỚI (Z/P)
pg
XÁC ĐỊNH TRẠNG THÁI CHẢY QUA
ĐẬP TRÀN MẶT CẮT THỰC DỤNG

H/P
m
0.10 0.20 0.30 0.40 0.50 0.75 1.00 1.50 2.00
0.35 0.92 0.89 0.87 0.86 0.84 0.86 0.87 0.96 1.05
0.385 0.91 0.86 0.84 0.8 0.8 0.79 0.8 0.83 0.9
0.42 0.89 0.84 0.8 0.78 0.76 0.75 0.73 0.75 0.82
0.46 0.88 0.82 0.78 0.76 0.74 0.71 0.7 0.73 0.79
0.48 0.86 0.8 0.76 0.74 0.71 0.68 0.67 0.67 0.78

HỆ SỐ CHẢY NGẬP CỦA ĐẬP TRÀM MẶT CẮT THỰC DỤNG
hn/Ho
σ
n

0.10 0.998
0.20 0.996
0.30 0.991
0.40 0.986
0.50 0.972
0.60 0.957
0.70 0.933
0.75 0.850
0.80 0.790

0.85 0.700
0.90 0.590
0.95 0.410
1.00 0.000
CÁC HÀM SỐ ĐỂ TÍNH SỰ NỐI TIẾP Ở HẠ LƯU CÔNG TRÌNH

τ
c
’’
F(τ
c
) τ
c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
0.005 0.0011 0.0525 0.0558 0.0591 0.0624 0.0638 0.0657
0.010 0.0023 0.0755 0.0803 0.0851 0.0899 0.0918 0.0947
0.015 0.0034 0.0915 0.0973 0.1031 0.1089 0.1112 0.1147
0.020 0.0045 0.1049 0.1116 0.1182 0.1249 0.1276 0.1316
0.025 0.0057 0.1176 0.1252 0.1327 0.1402 0.1432 0.1477
0.030 0.0068 0.1281 0.1363 0.1446 0.1528 0.1561 0.1610
0.035 0.0079 0.1378 0.1466 0.1555 0.1643 0.1678 0.1732
0.040 0.0091 0.1475 0.1569 0.1664 0.1759 0.1797 0.1854
0.045 0.0102 0.1557 0.1658 0.1758 0.1859 0.1899 0.1959
0.050 0.0114 0.1643 0.1749 0.1855 0.1961 0.2003 0.2067
0.055 0.0125 0.1716 0.1827 0.1938 0.2049 0.2094 0.2160
0.060 0.0136 0.1786 0.1902 0.2018 0.2134 0.2180 0.2249
0.065 0.0148 0.1859 0.1980 0.2101 0.2221 0.2270 0.2342
0.070 0.0159 0.1923 0.2048 0.2174 0.2299 0.2349 0.2424
0.075 0.0171 0.1991 0.2120 0.2250 0.2379 0.2431 0.2509

0.080 0.0182 0.2050 0.2183 0.2317 0.2450 0.2504 0.2584
0.085 0.0194 0.2112 0.2250 0.2388 0.2525 0.2581 0.2663
0.090 0.0205 0.2167 0.2309 0.2450 0.2592 0.2648 0.2733
0.095 0.0217 0.2225 0.2371 0.2516 0.2662 0.2720 0.2808
0.100 0.0228 0.2277 0.2426 0.2575 0.2724 0.2784 0.2873

0.105 0.0240 0.2332 0.2485 0.2637 0.2790 0.2852 0.2943
0.110 0.0252 0.2385 0.2541 0.2698 0.2855 0.2917 0.3011
0.115 0.0263 0.2432 0.2592 0.2752 0.2912 0.2976 0.3072
0.120 0.0275 0.2483 0.2646 0.2809 0.2973 0.3038 0.3136
0.125 0.0286 0.2528 0.2694 0.2861 0.3027 0.3094 0.3194
0.130 0.0298 0.2576 0.2745 0.2915 0.3085 0.3153 0.3255
0.135 0.0310 0.2622 0.2795 0.2969 0.3142 0.3211 0.3315
0.140 0.0321 0.2664 0.2840 0.3016 0.3192 0.3263 0.3368
0.145 0.0333 0.2709 0.2888 0.3067 0.3247 0.3318 0.3426
0.150 0.0345 0.2753 0.2935 0.3117 0.3299 0.3372 0.3482
0.155 0.0356 0.2792 0.2977 0.3162 0.3347 0.3421 0.3532
0.160 0.0368 0.2834 0.3022 0.3210 0.3398 0.3473 0.3586
0.165 0.0380 0.2875 0.3066 0.3257 0.3448 0.3524 0.3639
0.170 0.0392 0.2915 0.3109 0.3303 0.3497 0.3574 0.3690
0.175 0.0403 0.2952 0.3148 0.3344 0.3541 0.3619 0.3737
0.180 0.0415 0.2990 0.3189 0.3388 0.3588 0.3667 0.3787
0.185 0.0427 0.3028 0.3230 0.3432 0.3634 0.3715 0.3836
0.190 0.0439 0.3066 0.3270 0.3475 0.3679 0.3761 0.3884
τ
c
’’
F(τ
c
) τ

c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
0.195 0.0450 0.3099 0.3306 0.3513 0.3720 0.3803 0.3927
0.200 0.0462 0.3136 0.3345 0.3555 0.3764 0.3848 0.3974

0.205 0.0474 0.3171 0.3383 0.3595 0.3807 0.3892 0.4019
0.210 0.0486 0.3206 0.3421 0.3635 0.3850 0.3936 0.4064
0.215 0.0498 0.3240 0.3457 0.3674 0.3892 0.3978 0.4109
0.220 0.0510 0.3274 0.3494 0.3713 0.3933 0.4021 0.4152
0.225 0.0522 0.3307 0.3529 0.3751 0.3973 0.4062 0.4195
0.230 0.0534 0.3340 0.3564 0.3789 0.4013 0.4103 0.4238
0.235 0.0546 0.3372 0.3599 0.3826 0.4052 0.4143 0.4279
0.240 0.0558 0.3404 0.3633 0.3862 0.4091 0.4183 0.4320
0.245 0.0570 0.3435 0.3667 0.3898 0.4129 0.4222 0.4361
0.250 0.0582 0.3466 0.3700 0.3933 0.4167 0.4260 0.4400
0.255 0.0594 0.3497 0.3732 0.3968 0.4204 0.4298 0.4440
0.260 0.0606 0.3527 0.3764 0.4002 0.4240 0.4336 0.4479
0.265 0.0618 0.3556 0.3796 0.4036 0.4276 0.4373 0.4517
0.270 0.0630 0.3585 0.3827 0.4070 0.4312 0.4409 0.4554
0.275 0.0642 0.3614 0.3858 0.4103 0.4347 0.4445 0.4592
0.280 0.0654 0.3642 0.3889 0.4135 0.4382 0.4480 0.4628
0.285 0.0666 0.3670 0.3919 0.4167 0.4416 0.4515 0.4665
0.290 0.0678 0.3698 0.3948 0.4199 0.4450 0.4550 0.4700
0.295 0.0690 0.3725 0.3978 0.4230 0.4483 0.4584 0.4736
0.300 0.0702 0.3752 0.4006 0.4261 0.4516 0.4618 0.4771

0.305 0.0715 0.3781 0.4037 0.4294 0.4551 0.4654 0.4808
0.310 0.0727 0.3807 0.4065 0.4324 0.4583 0.4687 0.4842
0.315 0.0739 0.3833 0.4093 0.4354 0.4615 0.4719 0.4876

0.320 0.0751 0.3858 0.4121 0.4383 0.4646 0.4751 0.4909
0.325 0.0763 0.3883 0.4148 0.4412 0.4677 0.4783 0.4942
0.330 0.0776 0.3910 0.4177 0.4443 0.4710 0.4817 0.4977
0.335 0.0788 0.3935 0.4203 0.4472 0.4740 0.4848 0.5009
0.340 0.0800 0.3959 0.4229 0.4500 0.4770 0.4878 0.5041
0.345 0.0813 0.3985 0.4257 0.4530 0.4802 0.4911 0.5075
0.350 0.0825 0.4009 0.4283 0.4557 0.4831 0.4941 0.5105
0.355 0.0837 0.4032 0.4308 0.4584 0.4860 0.4970 0.5136
0.360 0.0850 0.4057 0.4335 0.4613 0.4891 0.5002 0.5169
0.365 0.0862 0.4080 0.4360 0.4639 0.4919 0.5031 0.5199
0.370 0.0874 0.4103 0.4384 0.4665 0.4947 0.5059 0.5228
0.375 0.0887 0.4127 0.4410 0.4693 0.4977 0.5090 0.5260
0.380 0.0899 0.4149 0.4434 0.4719 0.5004 0.5118 0.5289
0.385 0.0912 0.4173 0.4459 0.4746 0.5033 0.5148 0.5320

τ
c
’’
F(τ
c
) τ
c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
0.390 0.0924 0.4194 0.4483 0.4771 0.5060 0.5175 0.5348
0.395 0.0937 0.4218 0.4508 0.4798 0.5088 0.5204 0.5379
0.400 0.0949 0.4239 0.4530 0.4822 0.5114 0.5231 0.5406

0.405 0.0962 0.4261 0.4555 0.4848 0.5142 0.5260 0.5436
0.410 0.0974 0.4282 0.4577 0.4872 0.5168 0.5286 0.5463

0.415 0.0987 0.4304 0.4601 0.4898 0.5195 0.5314 0.5492
0.420 0.0999 0.4324 0.4623 0.4921 0.5220 0.5339 0.5519
0.425 0.1012 0.4346 0.4646 0.4946 0.5247 0.5367 0.5547
0.430 0.1025 0.4367 0.4669 0.4971 0.5273 0.5394 0.5575
0.435 0.1037 0.4387 0.4690 0.4994 0.5297 0.5419 0.5601
0.440 0.1050 0.4408 0.4713 0.5018 0.5323 0.5445 0.5629
0.445 0.1063 0.4429 0.4735 0.5042 0.5349 0.5472 0.5656
0.450 0.1075 0.4448 0.4756 0.5064 0.5372 0.5496 0.5681
0.455 0.1088 0.4468 0.4777 0.5087 0.5397 0.5521 0.5707
0.460 0.1101 0.4488 0.4799 0.5111 0.5422 0.5547 0.5734
0.465 0.1114 0.4508 0.4821 0.5134 0.5447 0.5572 0.5760
0.470 0.1126 0.4526 0.4840 0.5155 0.5469 0.5595 0.5784
0.475 0.1139 0.4545 0.4861 0.5177 0.5493 0.5620 0.5810
0.480 0.1152 0.4565 0.4882 0.5200 0.5517 0.5644 0.5835
0.485 0.1165 0.4584 0.4903 0.5222 0.5541 0.5669 0.5860
0.490 0.1178 0.4602 0.4923 0.5243 0.5564 0.5693 0.5885
0.495 0.1191 0.4621 0.4943 0.5265 0.5587 0.5716 0.5910
0.500 0.1204 0.4640 0.4963 0.5287 0.5610 0.5740 0.5934

0.505 0.1216 0.4656 0.4981 0.5306 0.5631 0.5761 0.5957
0.510 0.1229 0.4674 0.5001 0.5327 0.5654 0.5785 0.5981
0.515 0.1242 0.4692 0.5020 0.5348 0.5676 0.5807 0.6004
0.520 0.1255 0.4710 0.5039 0.5369 0.5698 0.5830 0.6028
0.525 0.1268 0.4728 0.5058 0.5389 0.5720 0.5852 0.6051
0.530 0.1281 0.4745 0.5077 0.5409 0.5742 0.5875 0.6074
0.535 0.1295 0.4763 0.5097 0.5431 0.5765 0.5898 0.6099
0.540 0.1307 0.4779 0.5114 0.5449 0.5784 0.5918 0.6120
0.545 0.1321 0.4797 0.5133 0.5470 0.5807 0.5941 0.6144
0.550 0.1334 0.4814 0.5151 0.5489 0.5827 0.5963 0.6166
0.555 0.1347 0.4830 0.5169 0.5509 0.5848 0.5984 0.6188

0.560 0.1360 0.4847 0.5187 0.5528 0.5868 0.6005 0.6209
0.565 0.1373 0.4863 0.5204 0.5546 0.5889 0.6025 0.6231
0.570 0.1387 0.4880 0.5223 0.5566 0.5910 0.6048 0.6254
0.575 0.1400 0.4896 0.5240 0.5585 0.5930 0.6068 0.6275

τ
c
’’
F(τ
c
) τ
c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
0.580 0.1413 0.4911 0.5257 0.5603 0.5949 0.6088 0.6296
0.585 0.1426 0.4927 0.5274 0.5621 0.5969 0.6108 0.6317
0.590 0.1440 0.4943 0.5292 0.5640 0.5989 0.6129 0.6339
0.595 0.1453 0.4959 0.5308 0.5658 0.6008 0.6149 0.6359
0.600 0.1466 0.4974 0.5325 0.5676 0.6027 0.6168 0.6379

0.605 0.1480 0.4990 0.5342 0.5694 0.6047 0.6189 0.6400
0.610 0.1493 0.5004 0.5358 0.5712 0.6066 0.6208 0.6420
0.615 0.1507 0.5020 0.5375 0.5730 0.6086 0.6228 0.6441
0.620 0.1520 0.5034 0.5390 0.5747 0.6104 0.6246 0.6461
0.625 0.1533 0.5049 0.5406 0.5764 0.6122 0.6265 0.6480
0.630 0.1547 0.5064 0.5422 0.5781 0.6141 0.6284 0.6500
0.635 0.1561 0.5079 0.5439 0.5799 0.6160 0.6304 0.6520
0.640 0.1574 0.5093 0.5454 0.5815 0.6177 0.6322 0.6539
0.645 0.1588 0.5107 0.5470 0.5833 0.6196 0.6341 0.6559
0.650 0.1601 0.5121 0.5485 0.5848 0.6213 0.6358 0.6577

0.655 0.1615 0.5135 0.5500 0.5865 0.6231 0.6377 0.6596
0.660 0.1629 0.5150 0.5516 0.5882 0.6249 0.6396 0.6616
0.665 0.1642 0.5163 0.5530 0.5898 0.6265 0.6413 0.6633
0.670 0.1656 0.5177 0.5545 0.5914 0.6283 0.6431 0.6652
0.675 0.1670 0.5191 0.5560 0.5930 0.6301 0.6449 0.6671
0.680 0.1683 0.5203 0.5574 0.5945 0.6317 0.6465 0.6688
0.685 0.1697 0.5217 0.5589 0.5961 0.6334 0.6483 0.6707
0.690 0.1711 0.5230 0.5604 0.5977 0.6351 0.6500 0.6725
0.695 0.1725 0.5244 0.5618 0.5993 0.6368 0.6518 0.6743
0.700 0.1739 0.5257 0.5632 0.6008 0.6384 0.6535 0.6761

0.705 0.1753 0.5270 0.5646 0.6023 0.6401 0.6552 0.6778
0.710 0.1767 0.5283 0.5660 0.6039 0.6417 0.6569 0.6796
0.715 0.1780 0.5295 0.5673 0.6053 0.6432 0.6584 0.6812
0.720 0.1794 0.5307 0.5687 0.6067 0.6448 0.6600 0.6829
0.725 0.1808 0.5320 0.5701 0.6082 0.6464 0.6617 0.6846
0.730 0.1822 0.5332 0.5714 0.6097 0.6480 0.6633 0.6863
0.735 0.1837 0.5345 0.5728 0.6112 0.6496 0.6650 0.6881
0.740 0.1851 0.5357 0.5741 0.6126 0.6512 0.6666 0.6897
0.745 0.1865 0.5369 0.5755 0.6140 0.6527 0.6681 0.6913
0.750 0.1879 0.5381 0.5767 0.6154 0.6542 0.6697 0.6929
0.755 0.1893 0.5393 0.5780 0.6168 0.6557 0.6712 0.6945
0.760 0.1907 0.5404 0.5793 0.6182 0.6571 0.6727 0.6961
0.765 0.1922 0.5416 0.5806 0.6196 0.6587 0.6743 0.6978

τ
c
’’
F(τ
c

) τ
c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
0.770 0.1936 0.5428 0.5818 0.6210 0.6601 0.6758 0.6993
0.775 0.1950 0.5439 0.5831 0.6223 0.6616 0.6773 0.7009
0.780 0.1964 0.5450 0.5843 0.6236 0.6630 0.6787 0.7024
0.785 0.1979 0.5462 0.5855 0.6250 0.6645 0.6803 0.7040
0.790 0.1993 0.5472 0.5867 0.6263 0.6659 0.6817 0.7055
0.795 0.2008 0.5484 0.5880 0.6276 0.6673 0.6832 0.7071
0.800 0.2022 0.5494 0.5891 0.6289 0.6687 0.6846 0.7085

0.805 0.2037 0.5505 0.5904 0.6302 0.6701 0.6861 0.7101
0.810 0.2051 0.5516 0.5915 0.6314 0.6714 0.6875 0.7115
0.815 0.2066 0.5527 0.5927 0.6327 0.6729 0.6889 0.7130
0.820 0.2080 0.5537 0.5938 0.6339 0.6741 0.6902 0.7144
0.825 0.2095 0.5547 0.5950 0.6352 0.6755 0.6917 0.7159
0.830 0.2109 0.5557 0.5960 0.6364 0.6768 0.6930 0.7172
0.835 0.2124 0.5568 0.5972 0.6376 0.6781 0.6943 0.7187
0.840 0.2139 0.5578 0.5983 0.6389 0.6795 0.6957 0.7201
0.845 0.2154 0.5588 0.5994 0.6401 0.6808 0.6971 0.7215
0.850 0.2168 0.5598 0.6004 0.6412 0.6820 0.6983 0.7228
0.855 0.2183 0.5607 0.6015 0.6424 0.6833 0.6996 0.7242
0.860 0.2198 0.5617 0.6026 0.6436 0.6845 0.7010 0.7256
0.865 0.2213 0.5627 0.6037 0.6447 0.6858 0.7023 0.7269
0.870 0.2228 0.5637 0.6047 0.6459 0.6870 0.7035 0.7283
0.875 0.2243 0.5646 0.6058 0.6470 0.6883 0.7048 0.7296
0.880 0.2258 0.5655 0.6068 0.6481 0.6895 0.7060 0.7309
0.885 0.2273 0.5665 0.6078 0.6492 0.6907 0.7073 0.7322
0.890 0.2288 0.5674 0.6088 0.6503 0.6919 0.7085 0.7335

0.895 0.2303 0.5683 0.6098 0.6514 0.6930 0.7097 0.7347
0.900 0.2318 0.5691 0.6108 0.6525 0.6942 0.7109 0.7360

0.905 0.2333 0.5700 0.6117 0.6535 0.6953 0.7121 0.7372
0.910 0.2349 0.5709 0.6127 0.6546 0.6965 0.7133 0.7385
0.915 0.2364 0.5718 0.6137 0.6556 0.6977 0.7145 0.7397
0.920 0.2379 0.5726 0.6146 0.6567 0.6988 0.7156 0.7409
0.925 0.2395 0.5735 0.6156 0.6577 0.6999 0.7168 0.7422
0.930 0.2410 0.5743 0.6165 0.6587 0.7010 0.7179 0.7433
0.935 0.2425 0.5751 0.6174 0.6597 0.7021 0.7190 0.7445
0.940 0.2441 0.5760 0.6183 0.6607 0.7032 0.7202 0.7457
0.945 0.2456 0.5768 0.6192 0.6617 0.7042 0.7212 0.7468
0.950 0.2472 0.5776 0.6201 0.6627 0.7053 0.7224 0.7480
0.955 0.2487 0.5784 0.6209 0.6636 0.7063 0.7234 0.7491

τ
c
’’
F(τ
c
) τ
c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
0.960 0.2503 0.5792 0.6218 0.6646 0.7074 0.7245 0.7502
0.965 0.2519 0.5799 0.6227 0.6655 0.7084 0.7256 0.7513
0.970 0.2534 0.5807 0.6235 0.6664 0.7094 0.7266 0.7524
0.975 0.2550 0.5814 0.6244 0.6673 0.7104 0.7276 0.7535
0.980 0.2566 0.5822 0.6252 0.6683 0.7114 0.7287 0.7546
0.985 0.2582 0.5829 0.6260 0.6692 0.7124 0.7297 0.7557

0.990 0.2598 0.5837 0.6268 0.6701 0.7134 0.7307 0.7567
0.995 0.2614 0.5844 0.6276 0.6709 0.7143 0.7317 0.7578
1.000 0.2630 0.5851 0.6284 0.6718 0.7153 0.7327 0.7588

1.005 0.2646 0.5858 0.6292 0.6727 0.7162 0.7336 0.7598
1.010 0.2662 0.5865 0.6299 0.6735 0.7171 0.7346 0.7608
1.015 0.2678 0.5871 0.6307 0.6743 0.7180 0.7355 0.7618
1.020 0.2694 0.5878 0.6314 0.6751 0.7189 0.7365 0.7628
1.025 0.2710 0.5885 0.6322 0.6760 0.7198 0.7374 0.7637
1.030 0.2727 0.5891 0.6329 0.6768 0.7207 0.7383 0.7647
1.035 0.2743 0.5898 0.6336 0.6776 0.7216 0.7392 0.7657
1.040 0.2759 0.5904 0.6343 0.6783 0.7224 0.7401 0.7666
1.045 0.2776 0.5910 0.6350 0.6791 0.7233 0.7410 0.7675
1.050 0.2792 0.5916 0.6357 0.6799 0.7241 0.7418 0.7684
1.055 0.2809 0.5922 0.6364 0.6806 0.7250 0.7427 0.7693
1.060 0.2825 0.5928 0.6370 0.6814 0.7257 0.7435 0.7702
1.065 0.2842 0.5934 0.6377 0.6821 0.7266 0.7444 0.7711
1.070 0.2859 0.5940 0.6384 0.6828 0.7274 0.7452 0.7720
1.075 0.2875 0.5945 0.6390 0.6835 0.7281 0.7460 0.7728
1.080 0.2892 0.5951 0.6396 0.6842 0.7289 0.7468 0.7736
1.085 0.2909 0.5956 0.6402 0.6849 0.7297 0.7476 0.7745
1.090 0.2926 0.5962 0.6408 0.6856 0.7304 0.7484 0.7753
1.095 0.2943 0.5967 0.6414 0.6863 0.7311 0.7491 0.7761
1.100 0.2960 0.5972 0.6420 0.6869 0.7319 0.7499 0.7769

1.105 0.2977 0.5977 0.6426 0.6875 0.7326 0.7506 0.7777
1.110 0.2994 0.5982 0.6432 0.6882 0.7333 0.7513 0.7784
1.115 0.3011 0.5987 0.6437 0.6888 0.7340 0.7520 0.7792
1.120 0.3028 0.5992 0.6442 0.6894 0.7346 0.7527 0.7799
1.125 0.3046 0.5997 0.6448 0.6900 0.7353 0.7535 0.7807

1.130 0.3063 0.6001 0.6453 0.6906 0.7360 0.7541 0.7814
1.135 0.3080 0.6005 0.6458 0.6911 0.7366 0.7548 0.7821
1.140 0.3098 0.6010 0.6463 0.6917 0.7372 0.7555 0.7828
1.145 0.3115 0.6014 0.6468 0.6923 0.7378 0.7561 0.7835

τ
c
’’
F(τ
c
) τ
c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
1.150 0.3133 0.6018 0.6473 0.6928 0.7385 0.7567 0.7842
1.155 0.3151 0.6023 0.6478 0.6934 0.7391 0.7574 0.7848
1.160 0.3168 0.6026 0.6482 0.6939 0.7396 0.7579 0.7854
1.165 0.3186 0.6030 0.6486 0.6944 0.7402 0.7585 0.7861
1.170 0.3204 0.6034 0.6491 0.6949 0.7408 0.7591 0.7867
1.175 0.3222 0.6038 0.6495 0.6954 0.7413 0.7597 0.7873
1.185 0.3258 0.6045 0.6503 0.6963 0.7424 0.7608 0.7885
1.190 0.3276 0.6048 0.6507 0.6967 0.7429 0.7613 0.7891
1.195 0.3295 0.6051 0.6511 0.6972 0.7434 0.7619 0.7896
1.200 0.3313 0.6054 0.6515 0.6976 0.7439 0.7624 0.7902

1.205 0.3331 0.6057 0.6518 0.6980 0.7443 0.7629 0.7907
1.210 0.3350 0.6060 0.6522 0.6984 0.7448 0.7634 0.7912
1.215 0.3368 0.6063 0.6525 0.6988 0.7452 0.7638 0.7917
1.220 0.3387 0.6066 0.6528 0.6992 0.7457 0.7643 0.7922
1.225 0.3406 0.6068 0.6532 0.6996 0.7461 0.7647 0.7927

1.230 0.3424 0.6071 0.6534 0.6999 0.7465 0.7651 0.7931
1.235 0.3443 0.6073 0.6537 0.7003 0.7469 0.7656 0.7936
1.240 0.3462 0.6075 0.6540 0.7006 0.7473 0.7660 0.7940
1.245 0.3481 0.6078 0.6543 0.7009 0.7476 0.7664 0.7945
1.250 0.3500 0.6080 0.6545 0.7012 0.7480 0.7667 0.7949
1.255 0.3520 0.6082 0.6548 0.7015 0.7483 0.7671 0.7953
1.260 0.3539 0.6083 0.6550 0.7018 0.7487 0.7674 0.7956
1.265 0.3558 0.6085 0.6552 0.7020 0.7490 0.7678 0.7960
1.270 0.3578 0.6087 0.6554 0.7023 0.7493 0.7681 0.7964
1.275 0.3597 0.6088 0.6556 0.7025 0.7496 0.7684 0.7967
1.280 0.3617 0.6089 0.6558 0.7027 0.7498 0.7687 0.7970
1.285 0.3637 0.6090 0.6559 0.7030 0.7501 0.7690 0.7973
1.290 0.3657 0.6091 0.6561 0.7031 0.7503 0.7692 0.7976
1.295 0.3677 0.6092 0.6562 0.7033 0.7506 0.7695 0.7979
1.300 0.3697 0.6093 0.6563 0.7035 0.7508 0.7697 0.7981

1.305 0.3716 0.6094 0.6564 0.7036 0.7510 0.7699 0.7984
1.310 0.3737 0.6094 0.6565 0.7038 0.7511 0.7701 0.7986
1.315 0.3757 0.6095 0.6566 0.7039 0.7513 0.7703 0.7988
1.320 0.3778 0.6095 0.6567 0.7040 0.7515 0.7705 0.7990
1.325 0.3799 0.6095 0.6567 0.7041 0.7516 0.7706 0.7992
1.330 0.3819 0.6095 0.6568 0.7042 0.7517 0.7708 0.7993
1.335 0.3840 0.6095 0.6568 0.7043 0.7518 0.7709 0.7995
1.340 0.3861 0.6095 0.6568 0.7043 0.7519 0.7710 0.7996

τ
c
’’
F(τ
c

) τ
c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
1.345 0.3882 0.6094 0.6568 0.7043 0.7520 0.7711 0.7997
1.350 0.3903 0.6094 0.6568 0.7043 0.7520 0.7711 0.7998
1.355 0.3925 0.6093 0.6568 0.7043 0.7521 0.7712 0.7999
1.360 0.3946 0.6092 0.6567 0.7043 0.7521 0.7712 0.7999
1.365 0.3968 0.6091 0.6566 0.7043 0.7521 0.7712 0.8000
1.370 0.3989 0.6090 0.6566 0.7042 0.7521 0.7712 0.8000
1.375 0.4011 0.6089 0.6565 0.7042 0.7520 0.7712 0.8000
1.380 0.4033 0.6087 0.6563 0.7041 0.7520 0.7712 0.8000
1.385 0.4055 0.6086 0.6562 0.7040 0.7519 0.7711 0.7999
1.390 0.4078 0.6084 0.6560 0.7039 0.7518 0.7710 0.7999
1.395 0.4100 0.6082 0.6559 0.7037 0.7517 0.7709 0.7998
1.400 0.4123 0.6080 0.6557 0.7036 0.7516 0.7708 0.7997

1.405 0.4146 0.6077 0.6555 0.7034 0.7514 0.7707 0.7996
1.410 0.4169 0.6075 0.6553 0.7032 0.7512 0.7705 0.7994
1.415 0.4192 0.6072 0.6550 0.7030 0.7511 0.7703 0.7993
1.420 0.4215 0.6070 0.6548 0.7027 0.7508 0.7701 0.7991
1.425 0.4238 0.6067 0.6545 0.7025 0.7506 0.7699 0.7989
1.430 0.4262 0.6063 0.6542 0.7022 0.7504 0.7697 0.7986
1.435 0.4286 0.6060 0.6539 0.7019 0.7501 0.7694 0.7984
1.440 0.4310 0.6056 0.6535 0.7016 0.7498 0.7691 0.7981
1.445 0.4334 0.6053 0.6532 0.7012 0.7495 0.7688 0.7978
1.450 0.4358 0.6049 0.6528 0.7009 0.7491 0.7684 0.7975
1.455 0.4383 0.6044 0.6524 0.7005 0.7487 0.7681 0.7971
1.460 0.4408 0.6040 0.6519 0.7000 0.7483 0.7677 0.7967
1.465 0.4433 0.6035 0.6515 0.6996 0.7479 0.7673 0.7963

1.470 0.4458 0.6030 0.6510 0.6991 0.7475 0.7668 0.7959
1.475 0.4483 0.6025 0.6505 0.6987 0.7470 0.7663 0.7954
1.480 0.4509 0.6020 0.6500 0.6981 0.7465 0.7658 0.7949
1.485 0.4535 0.6014 0.6494 0.6976 0.7459 0.7653 0.7944
1.490 0.4561 0.6008 0.6488 0.6970 0.7454 0.7648 0.7939
1.495 0.4588 0.6002 0.6482 0.6964 0.7448 0.7641 0.7933
1.500 0.4614 0.5996 0.6476 0.6958 0.7442 0.7635 0.7927

1.505 0.4641 0.5989 0.6469 0.6951 0.7435 0.7629 0.7920
1.510 0.4669 0.5982 0.6462 0.6944 0.7428 0.7622 0.7913
1.515 0.4696 0.5975 0.6455 0.6937 0.7421 0.7615 0.7906
1.520 0.4724 0.5968 0.6448 0.6930 0.7413 0.7607 0.7898
1.525 0.4753 0.5960 0.6439 0.6921 0.7405 0.7599 0.7890
1.530 0.4781 0.5952 0.6431 0.6913 0.7397 0.7591 0.7882

τ
c
’’
F(τ
c
) τ
c

φ = 0.80 φ = 0.85 φ = 0.90 φ = 0.95 φ = 0.97 φ = 1.00
1.535 0.4810 0.5943 0.6423 0.6905 0.7388 0.7582 0.7873
1.540 0.4840 0.5934 0.6414 0.6895 0.7379 0.7572 0.7864
1.545 0.4869 0.5925 0.6404 0.6886 0.7369 0.7563 0.7854
1.550 0.4900 0.5915 0.6394 0.6876 0.7359 0.7553 0.7844
1.555 0.4931 0.5905 0.6384 0.6865 0.7348 0.7542 0.7833
1.560 0.4962 0.5895 0.6373 0.6854 0.7337 0.7531 0.7822

1.565 0.4994 0.5884 0.6362 0.6843 0.7326 0.7519 0.7810
1.570 0.5026 0.5872 0.6351 0.6831 0.7314 0.7507 0.7798
1.575 0.5058 0.5861 0.6339 0.6819 0.7301 0.7495 0.7785
1.580 0.5091 0.5848 0.6326 0.6806 0.7288 0.7481 0.7772
1.585 0.5125 0.5836 0.6313 0.6792 0.7274 0.7467 0.7758
1.590 0.5159 0.5822 0.6299 0.6778 0.7260 0.7453 0.7743
1.595 0.5194 0.5808 0.6285 0.6764 0.7245 0.7438 0.7727
1.600 0.5230 0.5793 0.6270 0.6748 0.7229 0.7421 0.7711

1.605 0.5267 0.5778 0.6254 0.6732 0.7212 0.7404 0.7694
1.610 0.5304 0.5762 0.6237 0.6715 0.7194 0.7387 0.7676
1.615 0.5342 0.5745 0.6220 0.6697 0.7176 0.7368 0.7657
1.620 0.5381 0.5728 0.6202 0.6678 0.7157 0.7349 0.7637
1.625 0.5422 0.5709 0.6182 0.6658 0.7136 0.7327 0.7616
1.630 0.5464 0.5689 0.6161 0.6636 0.7114 0.7305 0.7593
1.635 0.5506 0.5669 0.6140 0.6614 0.7091 0.7282 0.7570
1.640 0.5551 0.5646 0.6117 0.6590 0.7066 0.7257 0.7544
1.645 0.5595 0.5624 0.6094 0.6566 0.7041 0.7232 0.7518
1.650 0.5643 0.5599 0.6068 0.6539 0.7013 0.7203 0.7489
1.655 0.5693 0.5572 0.6040 0.6510 0.6983 0.7173 0.7458
1.670 0.5857 0.5480 0.5943 0.6409 0.6878 0.7067 0.7350
1.675 0.5918 0.5443 0.5905 0.6370 0.6837 0.7025 0.7307
1.680 0.5988 0.5400 0.5860 0.6323 0.6788 0.6975 0.7256
1.685 0.6062 0.5353 0.5811 0.6271 0.6735 0.6920 0.7200
1.690 0.6144 0.5300 0.5754 0.6212 0.6673 0.6858 0.7136
1.695 0.6243 0.5232 0.5684 0.6138 0.6595 0.6779 0.7055
1.700 0.6371 0.5141 0.5587 0.6037 0.6490 0.6672 0.6945