4. What is the measured undrained shear strength in our test? And when will undr

Question

4. What is the measured undrained shear strength in our test? And when will undrained shear strength be used in slope stability analysis?

Test 1 Test 2 Soil sample: compacted river silt Soil sample: compacted river silt Diameter (inch): 3 Diameter (inch): 3 Initial Height (inch): 6 Initial Height (inch): 6 Vertical. Load (lbs) Cell pressure (psi) change of height (in) Vertical. Load (lbs) Cell pressure (psi) change of height (in) 1.5835 7.5093 0.0000 0.1305 45.3648 0.0000 0.8875 7.5070 0.0014 -0.2697 45.3533 0.0014 0.6786 7.5118 0.0026 0.8440 45.3853 0.0026 1.4443 7.5090 0.0043 1.2964 45.4082 0.0038 1.0441 7.5059 0.0055 1.9576 45.3926 0.0056 0.7657 7.5097 0.0067 1.8010 45.3748 0.0067 5.9860 7.5076 0.0086 1.7836 45.4215 0.0085 8.5440 7.4892 0.0097 3.1235 45.3822 0.0097 12.2331 7.4730 0.0114 2.3579 45.3781 0.0109 14.5996 7.4582 0.0126 0.8266 45.3914 0.0127 19.8374 7.4502 0.0138 4.1154 45.2754 0.0139 24.9186 7.4282 0.0156 2.4971 45.3582 0.0139 28.2596 7.4183 0.0168 5.1943 45.1836 0.0151 31.5310 7.4152 0.0185 6.8300 45.0018 0.0170 34.6633 7.4145 0.0197 9.9970 44.8223 0.0181 41.2061 7.4131 0.0214 12.3810 44.7418 0.0193 45.0866 7.4155 0.0226 16.0178 44.6566 0.0212 49.2803 7.4153 0.0244 15.3044 44.7160 0.0224 51.8383 7.4245 0.0256 17.2011 44.6609 0.0241 56.0842 7.4458 0.0273 17.5491 44.7215 0.0252 61.2523 7.4505 0.0285 19.3415 44.7951 0.0269 64.6456 7.4554 0.0302 20.8728 44.8098 0.0281 69.4483 7.4641 0.0314 23.1871 44.8543 0.0293 73.8334 7.4626 0.0331 24.5096 44.7928 0.0312 76.4784 7.4696 0.0343 26.1802 44.8412 0.0323 80.7939 7.4706 0.0355 27.7637 44.8590 0.0340 85.5271 7.4673 0.0374 26.3020 44.9070 0.0352 89.0073 7.4732 0.0385 27.5026 44.9043 0.0364 90.6082 7.4591 0.0402 29.2950 44.9125 0.0382 94.9411 7.4588 0.0414 30.9655 44.9543 0.0394 97.5165 7.4675 0.0426 32.2880 44.9975 0.0411 102.4585 7.4708 0.0444 31.4005 45.0691 0.0423 106.4085 7.4697 0.0455 33.3321 45.0410 0.0435 107.4526 7.4784 0.0473 36.0641 45.0943 0.0454 111.6985 7.4800 0.0485 35.9944 45.1275 0.0465 113.6648 7.4760 0.0502 36.3077 45.1453 0.0483 117.5279 7.4792 0.0514 35.5768 45.1545 0.0494 118.8852 7.4760 0.0532 38.7090 45.1148 0.0506 115.0395 7.4859 0.0544 39.1963 45.1467 0.0525 117.2669 7.4803 0.0544 41.9109 45.1789 0.0537 123.1833 7.4808 0.0556 44.1904 45.2199 0.0548 128.6299 7.4899 0.0574 44.0686 45.1672 0.0567 138.0788 7.4859 0.0628 48.0013 45.2248 0.0619 149.2156 7.4923 0.0687 54.0743 45.2869 0.0678 158.1424 7.4926 0.0740 57.6242 45.2971 0.0731 166.2688 7.4947 0.0793 62.2355 45.3705 0.0790 170.1667 7.5014 0.0853 69.5266 45.4459 0.0842 176.6399 7.5056 0.0906 73.0765 45.5027 0.0901 179.0935 7.5110 0.0965 77.0614 45.6445 0.0954 182.1387 7.5186 0.1018 83.3780 45.6992 0.1013 184.3835 7.5224 0.1071 88.8072 45.6789 0.1066 186.5934 7.5285 0.1129 93.8361 45.7107 0.1125 189.8126 7.5489 0.1183 103.1458 45.8369 0.1178 191.1177 7.5592 0.1242 106.3650 45.8363 0.1236 191.6224 7.5601 0.1295 112.1422 45.7994 0.1289 192.8753 7.5624 0.1348 113.5343 45.7633 0.1348 194.5980 7.5574 0.1408 118.3371 45.8396 0.1402 195.6595 7.5582 0.1461 125.1584 45.9043 0.1461 196.5469 7.5688 0.1514 130.1525 45.9353 0.1514 198.1478 7.5719 0.1574 132.3103 45.9513 0.1567 198.0260 7.5727 0.1627 137.4610 45.9527 0.1627 198.4437 7.5777 0.1680 143.7255 45.9385 0.1679 198.8439 7.5782 0.1740 148.6674 45.9635 0.1732 199.4007 7.5825 0.1794 152.5131 45.9615 0.1791 200.6014 7.5733 0.1847 156.9504 45.9914 0.1844 201.8543 7.5757 0.1906 161.4921 46.0000 0.1903 201.7847 7.5781 0.1959 163.8587 45.9943 0.1957 203.0376 7.5800 0.2012 169.0095 46.0459 0.2010 204.4297 7.5777 0.2072 172.9769 46.0295 0.2069 204.9865 7.5865 0.2126 178.0581 46.0642 0.2122 206.5004 7.5833 0.2179 181.0337 46.0492 0.2175 205.8044 7.5721 0.2238 186.3759 46.1150 0.2234 207.2835 7.5787 0.2291 187.1068 46.1136 0.2287 208.6060 7.5818 0.2344 191.7529 46.1910 0.2346 207.9795 7.6005 0.2404 194.2761 46.0213 0.2399 210.2069 7.6042 0.2457 199.3398 46.1590 0.2458 211.0247 7.6031 0.2510 201.4454 46.1390 0.2511 212.1210 7.6097 0.2570 205.1866 46.1525 0.2571 214.0178 7.6042 0.2623 206.3873 46.0152 0.2624 214.2440 7.5950 0.2677 208.8235 46.0453 0.2677 214.9226 7.6047 0.2736 214.9313 46.1363 0.2737 215.1314 7.6083 0.2789 215.7144 46.1664 0.2789 219.1511 7.6020 0.2930 221.6134 46.2361 0.2930 219.2311 7.6057 0.3066 226.3291 46.2861 0.3066 219.2211 7.5987 0.3202 232.9590 46.2601 0.3206 219.1247 7.5983 0.3344 236.8047 46.2685 0.3342 219.1100 7.6001 0.3479 241.5900 46.2599 0.3478 219.0789 7.6001 0.3620 243.6260 46.4345 0.3620 219.0547 7.6055 0.3755 246.5494 47.1279 0.3755 218.9800 7.6219 0.3855 249.9600 46.7873 0.3891 251.5435 46.4330 0.4033 254.9716 46.4166 0.4169 256.6943 46.4781 0.4304 259.5655 46.4742 0.4446 259.2871 46.4664 0.4582 260.8880 47.2134 0.4718 261.6536 47.2271 0.4859 263.0457 47.0976 0.4995 266.2476 46.2562 0.5131 264.7684 47.0796 0.5273 266.9262 46.3414 0.5408 268.6141 47.1929 0.5544 268.3879 47.2257 0.5686 268.2661 47.3033 0.5822 266.1431 47.2541 0.5958 268.4053 47.1511 0.6099 268.2661 46.3404 0.6235

Explanation / Answer

For short-term stability analysis, undrained shear strength parameters should be obtained

Test 1 Soil sample: compacted river silt Diameter (inch): 3 (Area = 7.065 in^2) Initial Height (inch): 6 Vertical. Load (lbs) Cell pressure (psi) change of height (in) 1 3 1(sin^-1(1-3)/(1+3) Undrained shear strength (1 + 3 tan1) 1.5835 7.5093 0 0.2241331 7.5093 -1.23 -20.8600263 0.8875 7.507 0.0014 0.1256192 7.507 -1.31 -28.4051001 0.6786 7.5118 0.0026 0.096051 7.5118 -1.35 -32.6943096 1.4443 7.509 0.0043 0.2044303 7.509 -1.24 -21.9307504 1.0441 7.5059 0.0055 0.1477849 7.5059 -1.29 -26.0716307 0.7657 7.5097 0.0067 0.1083793 7.5097 -1.33 -30.6963416 5.986 7.5076 0.0086 0.8472753 7.5076 -0.92 -9.06569251 8.544 7.4892 0.0097 1.2093418 7.4892 -0.81 -6.60447125 12.2331 7.473 0.0114 1.7315074 7.473 -0.67 -4.23238941 14.5996 7.4582 0.0126 2.0664685 7.4582 -0.60 -3.05507514 19.8374 7.4502 0.0138 2.8078415 7.4502 -0.47 -0.97315573 24.9186 7.4282 0.0156 3.5270488 7.4282 -0.36 0.696316264 28.2596 7.4183 0.0168 3.9999434 7.4183 -0.30 1.672320347 31.531 7.4152 0.0185 4.4629866 7.4152 -0.25 2.560303703 34.6633 7.4145 0.0197 4.9063411 7.4145 -0.21 3.364686412 41.2061 7.4131 0.0214 5.8324275 7.4131 -0.12 4.94140804 45.0866 7.4155 0.0226 6.3816844 7.4155 -0.07 5.824478516 49.2803 7.4153 0.0244 6.9752725 7.4153 -0.03 6.748425163 51.8383 7.4245 0.0256 7.337339 7.4245 -0.01 7.293500408 56.0842 7.4458 0.0273 7.9383156 7.4458 0.03 8.176811878 61.2523 7.4505 0.0285 8.6698231 7.4505 0.08 9.234989541 64.6456 7.4554 0.0302 9.1501203 7.4554 0.10 9.914994686 69.4483 7.4641 0.0314 9.829908 7.4641 0.14 10.8606821 73.8334 7.4626 0.0331 10.450587 7.4626 0.17 11.71306447 76.4784 7.4696 0.0343 10.824968 7.4696 0.18 12.21859191 80.7939 7.4706 0.0355 11.435796 7.4706 0.21 13.03822675 85.5271 7.4673 0.0374 12.105747 7.4673 0.24 13.92724413 89.0073 7.4732 0.0385 12.598344 7.4732 0.26 14.57200533 90.6082 7.4591 0.0402 12.82494 7.4591 0.27 14.87102289 94.9411 7.4588 0.0414 13.438231 7.4588 0.29 15.66560539 97.5165 7.4675 0.0426 13.80276 7.4675 0.30 16.13266984 102.4585 7.4708 0.0444 14.502265 7.4708 0.33 17.02563765 106.4085 7.4697 0.0455 15.061359 7.4697 0.34 17.73452641 107.4526 7.4784 0.0473 15.209144 7.4784 0.35 17.91960516 111.6985 7.48 0.0485 15.81012 7.48 0.37 18.67498748 113.6648 7.476 0.0502 16.088436 7.476 0.37 19.02387957 117.5279 7.4792 0.0514 16.63523 7.4792 0.39 19.70489075 118.8852 7.476 0.0532 16.827346 7.476 0.39 19.9438736 115.0395 7.4859 0.0544 16.283015 7.4859 0.38 19.26540784 117.2669 7.4803 0.0544 16.598287 7.4803 0.39 19.65881886 123.1833 7.4808 0.0556 17.435711 7.4808 0.41 20.69604144 128.6299 7.4899 0.0574 18.206638 7.4899 0.43 21.64345022 138.0788 7.4859 0.0628 19.544062 7.4859 0.46 23.27540998 149.2156 7.4923 0.0687 21.120396 7.4923 0.50 25.17886077 158.1424 7.4926 0.074 22.383921 7.4926 0.52 26.69167991 166.2688 7.4947 0.0793 23.534154 7.4947 0.54 28.05987157 170.1667 7.5014 0.0853 24.085874 7.5014 0.55 28.71353637 176.6399 7.5056 0.0906 25.002109 7.5056 0.57 29.79531168 179.0935 7.511 0.0965 25.349398 7.511 0.57 30.20441725 182.1387 7.5186 0.1018 25.780425 7.5186 0.58 30.71145445 184.3835 7.5224 0.1071 26.09816 7.5224 0.59 31.08459149 186.5934 7.5285 0.1129 26.410955 7.5285 0.59 31.45165301 189.8126 7.5489 0.1183 26.86661 7.5489 0.60 31.98650497 191.1177 7.5592 0.1242 27.051338 7.5592 0.60 32.20330394 191.6224 7.5601 0.1295 27.122774 7.5601 0.60 32.2868778 192.8753 7.5624 0.1348 27.300113 7.5624 0.60 32.49426264 194.598 7.5574 0.1408 27.543949 7.5574 0.61 32.77851793 195.6595 7.5582 0.1461 27.694197 7.5582 0.61 32.95386 196.5469 7.5688 0.1514 27.819802 7.5688 0.61 33.10124994 198.1478 7.5719 0.1574 28.046398 7.5719 0.61 33.36560792 198.026 7.5727 0.1627 28.029158 7.5727 0.61 33.34559628 198.4437 7.5777 0.168 28.08828 7.5777 0.61 33.41492926 198.8439 7.5782 0.174 28.144926 7.5782 0.61 33.48095416 199.4007 7.5825 0.1794 28.223737 7.5825 0.61 33.57313179 200.6014 7.5733 0.1847 28.393687 7.5733 0.62 33.77007379 201.8543 7.5757 0.1906 28.571026 7.5757 0.62 33.9765912 201.7847 7.5781 0.1959 28.561175 7.5781 0.62 33.96537297 203.0376 7.58 0.2012 28.738514 7.58 0.62 34.17173784 204.4297 7.5777 0.2072 28.935556 7.5777 0.62 34.40043317 204.9865 7.5865 0.2126 29.014367 7.5865 0.63 34.49288497 206.5004 7.5833 0.2179 29.228648 7.5833 0.63 34.7412845 205.8044 7.5721 0.2238 29.130134 7.5721 0.63 34.62574683 207.2835 7.5787 0.2291 29.33949 7.5787 0.63 34.86937094 208.606 7.5818 0.2344 29.526681 7.5818 0.63 35.08677411 207.9795 7.6005 0.2404 29.438004 7.6005 0.63 34.98604837 210.2069 7.6042 0.2457 29.753277 7.6042 0.63 35.35194835 211.0247 7.6031 0.251 29.86903 7.6031 0.64 35.48591684 212.121 7.6097 0.257 30.024204 7.6097 0.64 35.66638661 214.0178 7.6042 0.2623 30.292682 7.6042 0.64 35.97641107 214.244 7.595 0.2677 30.324699 7.595 0.64 36.01230296 214.9226 7.6047 0.2736 30.42075 7.6047 0.64 36.12457989 215.1314 7.6083 0.2789 30.450304 7.6083 0.64 36.15920134 219.1511 7.602 0.293 31.019264 7.602 0.65 36.81561054 219.2311 7.6057 0.3066 31.030587 7.6057 0.65 36.82917355 219.2211 7.5987 0.3202 31.029172 7.5987 0.65 36.82660309 219.1247 7.5983 0.3344 31.015527 7.5983 0.65 36.81080305 219.11 7.6001 0.3479 31.013447 7.6001 0.65 36.80864265 219.0789 7.6001 0.362 31.009045 7.6001 0.65 36.80356235 219.0547 7.6055 0.3755 31.005619 7.6055 0.65 36.80032991 218.98 7.6219 0.3855 30.995046 7.6219 0.65 36.79030242

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