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Νομικός
Table A.1
(psi) (psf) (kPa) (ksf) (Mpa)
1.5 216 10 913 43.8
3 432 21 1174 56.3
6 864 41 1548 74.2
12 1728 83 1993 95.5
24 3456 165 2710 129.9
Table A.2
3.78E-04 1501 1.00 3.78E-04
7.33E-04 1502 1.00 7.33E-04
1.46E-03 1466 0.98 1.46E-03
2.70E-03 1396 0.93 1.88E-03
5.38E-03 1266 0.84 3.63E-03
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve(-) High Noise Level Interferring with Damping Measurement
Table A.3
First Cycle Tenth Cycle
2.04E-04 1500 1.00 1.12 2.04E-04
3.83E-04 1500 1.00 1.16 3.85E-04
7.77E-04 1470 0.98 1.24 7.81E-04
1.60E-03 1430 0.95 1.51 1.60E-03
3.43E-03 1340 0.89 2.37 3.48E-03
Variation in Low-Amplitude Shear Wave Velocity, Low-Amplitude Shear Modulus, Low-Amplitude Material Damping Ratio and Estimated Void Ratio with Isotropic Confining Pressure from RC Tests of Specimen UTA-62-A (1C)
Isotropic Confining Pressure, σoLow-Amplitude Shear
Modulus, Gmax
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Average (1) Shearing Strain, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Material Damping
Ratio, D, %
Peak Shearing Strain, %
8.49E-03 1120 0.75 5.00 8.74E-03
Table A.4
1.37E-04 2731 1.00 1.37E-04
2.60E-04 2744 1.00 2.60E-04
5.06E-04 2719 0.99 5.06E-04
1.01E-03 2707 0.99 1.01E-03
1.85E-03 2648 0.97 1.41E-03
3.69E-03 2530 0.92 2.75E-03
7.62E-03 2304 0.84 5.50E-03
1.53E-02 1931 0.71 1.06E-02
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve(-) High Noise Level Interferring with Damping Measurement
Table A.5
First Cycle Tenth Cycle
5.61E-05 2800 1.00 0.70 5.55E-05
1.12E-04 2790 1.00 0.84 1.11E-04
2.07E-04 2800 1.00 0.76 2.08E-04
4.15E-04 2810 1.00 0.79 4.17E-04
8.37E-04 2780 0.99 0.91 8.38E-04
1.72E-03 2720 0.97 1.25 1.72E-03
3.77E-03 2570 0.92 2.03 3.80E-03
8.78E-03 2240 0.80 3.51 8.93E-03
2.21E-02 1760 0.63 7.82 2.25E-02
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Average (1) Shearing Strain, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Material Damping
Ratio, D, %
Peak Shearing Strain, %
(fps) (%)
483 8.83 0.414
547 7.51 0.412
625 6.85 0.393
707 6.20 0.385
826 5.19 0.390
-
6.35
6.51
6.62
7.36
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve(-) High Noise Level Interferring with Damping Measurement
Tenth Cycle
1500 1.00 1.15
1490 0.99 1.24
1470 0.98 1.18
1430 0.95 1.46
1320 0.88 2.33
Variation in Low-Amplitude Shear Wave Velocity, Low-Amplitude Shear Modulus, Low-Amplitude Material Damping Ratio and Estimated Void Ratio with Isotropic Confining Pressure from RC Tests of Specimen UTA-
Low-Amplitude Shear Wave Velocity, Vs
Low-Amplitude Material Damping
Ratio, Dmin
Estimated Void Ratio, e
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 6 psi (0.9 ksf = 41 kPa)
Material Damping Ratio (2), D, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 6 psi (0.9 ksf = 41 kPa)
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Material Damping
Ratio, D, %
1090 0.73 4.68
-
5.09
4.95
5.03
4.89
5.28
5.91
6.89
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve(-) High Noise Level Interferring with Damping Measurement
Tenth Cycle
2780 0.99 0.73
2800 1.00 0.65
2790 1.00 0.69
2800 1.00 0.78
2780 0.99 0.93
2700 0.97 1.22
2550 0.91 1.93
2180 0.78 3.32
1730 0.62 7.14
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 24 psi (3.5 ksf = 165 kPa)
Material Damping Ratio (2), D, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 24 psi (3.5 ksf = 165 kPa)
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Material Damping
Ratio, D, %
Table A.2
3.78E-04 1501 1.00 3.78E-04
7.33E-04 1502 1.00 7.33E-04
1.46E-03 1466 0.98 1.46E-03
2.70E-03 1396 0.93 1.88E-03
5.38E-03 1266 0.84 3.63E-03
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve(-) High Noise Level Interferring with Damping Measurement
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Average (1) Shearing Strain, %
-
6.35
6.51
6.62
7.36
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve(-) High Noise Level Interferring with Damping Measurement
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-A (1C); Isotropic
Material Damping Ratio (2), D, %
Table A.3
First Cycle
2.04E-04 1500 1.00 1.12
3.83E-04 1500 1.00 1.16
7.77E-04 1470 0.98 1.24
1.60E-03 1430 0.95 1.51
3.43E-03 1340 0.89 2.37
8.49E-03 1120 0.75 5.00
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Tenth Cycle
2.04E-04 1500 1.00 1.15
3.85E-04 1490 0.99 1.24
7.81E-04 1470 0.98 1.18
1.60E-03 1430 0.95 1.46
3.48E-03 1320 0.88 2.33
8.74E-03 1090 0.73 4.68
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Table A.4
1.37E-04 2731 1.00 1.37E-04
2.60E-04 2744 1.00 2.60E-04
5.06E-04 2719 0.99 5.06E-04
1.01E-03 2707 0.99 1.01E-03
1.85E-03 2648 0.97 1.41E-03
3.69E-03 2530 0.92 2.75E-03
7.62E-03 2304 0.84 5.50E-03
1.53E-02 1931 0.71 1.06E-02
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve(-) High Noise Level Interferring with Damping Measurement
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Average (1) Shearing Strain, %
-
5.09
4.95
5.03
4.89
5.28
5.91
6.89
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve(-) High Noise Level Interferring with Damping Measurement
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-A (1C); Isotropic
Material Damping Ratio (2), D, %
Table A.5
First Cycle
5.61E-05 2800 1.00 0.70
1.12E-04 2790 1.00 0.84
2.07E-04 2800 1.00 0.76
4.15E-04 2810 1.00 0.79
8.37E-04 2780 0.99 0.91
1.72E-03 2720 0.97 1.25
3.77E-03 2570 0.92 2.03
8.78E-03 2240 0.80 3.51
2.21E-02 1760 0.63 7.82
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo, = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Tenth Cycle
5.55E-05 2780 0.99 0.73
1.11E-04 2800 1.00 0.65
2.08E-04 2790 1.00 0.69
4.17E-04 2800 1.00 0.78
8.38E-04 2780 0.99 0.93
1.72E-03 2700 0.97 1.22
3.80E-03 2550 0.91 1.93
8.93E-03 2180 0.78 3.32
2.25E-02 1730 0.62 7.14
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-A (1C); Isotropic Confining Pressure, σo, = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Table B.1
(psi) (psf) (kPa) (ksf) (Mpa)
2 216 10 2196 105.3
3 432 20 2428 116.4
6 864 41 2859 137.1
12 1728 83 3456 170.0
24 3456 165 4473 214.4
48 6912 330 5987 287.0
Table B.2
2.35E-04 2841 1.00
4.66E-04 2841 1.00
8.67E-04 2812 0.99
1.76E-03 2675 0.94
3.65E-03 2420 0.85
8.35E-03 1982 0.70
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Table B.3
First Cycle Tenth Cycle
2.99E-04 2670 1.01 1.48 2.99E-04
5.91E-04 2620 0.99 1.76 5.96E-04
1.14E-03 2550 0.96 1.79 1.15E-03
2.40E-03 2400 0.91 2.44 2.45E-03
5.56E-03 2080 0.79 3.83 5.70E-03
Variation in Low-Amplitude Shear Wave Velocity, Low-Amplitude Shear Modulus, Low-Amplitude Material Damping Ratio and Estimated Void Ratio with Isotropic Confining Pressure from RC Tests of Specimen UTA-62-B (2C)
Isotropic Confining Pressure, σo'Low-Amplitude Shear
Modulus, Gmax
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Material Damping
Ratio, D, %
Peak Shearing Strain, %
1.15E-02 1680 0.64 5.42 1.21E-02
Table B.4
9.27E-05 4368 1.00
1.75E-04 4364 1.00
3.43E-04 4414 1.01
6.35E-04 4381 1.00
1.27E-03 4331 0.99
2.58E-03 4125 0.94
5.52E-03 3696 0.84
1.24E-02 3008 0.69
2.81E-02 2267 0.52
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Table B.5
First Cycle Tenth Cycle
1.79E-04 4380 1.00 1.08 1.78E-04
3.61E-04 4350 1.00 1.06 3.60E-04
7.33E-04 4280 0.98 1.21 7.33E-04
1.01E-03 4260 0.98 1.21 1.02E-03
1.89E-03 4150 0.95 1.75 1.90E-03
3.15E-03 3990 0.91 2.03 3.17E-03
7.02E-03 3555 0.81 4.05 7.16E-03
1.10E-02 3215 0.74 5.45 1.14E-02
2.05E-02 2642 0.61 7.85 2.12E-02
Table B.6
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Material Damping
Ratio, D, %
Peak Shearing Strain, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 48 psi (6.9 ksf = 331 kPa)
7.39E-05 5922 1.00
1.43E-04 5923 1.00
2.80E-04 5923 1.00
5.19E-04 5904 1.00
1.04E-03 5905 1.00
2.08E-03 5761 0.97
4.36E-03 5435 0.92
9.57E-03 4681 0.79
2.04E-02 3749 0.63
4.89E-02 2625 0.44
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Table B.7
First Cycle Tenth Cycle
2.69E-04 5890 1.00 0.99 2.70E-04
5.32E-04 5850 1.00 1.12 5.30E-04
1.02E-03 5790 0.99 1.26 1.02E-03
2.30E-03 5660 0.96 1.65 2.29E-03
4.86E-03 5291 0.90 2.45 4.90E-03
1.22E-02 4554 0.78 4.89 1.23E-02
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 48 psi (6.9 ksf = 331 kPa)
Peak Shearing Strain, %
Shear Modulus, G,
ksf
Normalized Shear
Modulus, G/Gmax
Material Damping
Ratio, D, %
Peak Shearing Strain, %
(fps) (%) (pcf)
747 13.12 127 0.436
786 12.01 127 0.436
852 15.09 127 0.434
949 11.02 127 0.432
1064 9.62 127 0.427
1230 8.25 128 0.421
1.36E-04 11.13
4.66E-04 11.57
5.09E-04 10.78
1.03E-03 10.96
2.06E-03 11.87
4.42E-03 13.84
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Tenth Cycle
2650 1.01 1.47
2620 0.99 1.72
2540 0.96 1.86
2360 0.90 2.48
2030 0.77 3.87
Variation in Low-Amplitude Shear Wave Velocity, Low-Amplitude Shear Modulus, Low-Amplitude Material Damping Ratio and Estimated Void Ratio with Isotropic Confining Pressure from RC Tests of Specimen UTA-62-B (2C)
Low-Amplitude Shear Wave Velocity, Vs
Low-Amplitude Material Damping
Ratio, Dmin
Estimated Total Unit Weight, γt
Estimated Void Ratio, e
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 6 psi (0.9 ksf = 41 kPa)
Average (1) Shearing Strain, %
Material Damping Ratio (2), D, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 6 psi (0.9 ksf = 41 kPa)
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Material Damping Ratio,
D, %
1600 0.61 5.63
9.27E-05 7.36
1.75E-04 10.38
3.43E-04 9.93
6.35E-04 9.87
1.27E-03 10.04
2.58E-03 10.69
5.52E-03 12.02
1.24E-02 13.18
1.51E-02 13.45
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Tenth Cycle
4390 1.00 1.03
4380 1.00 1.01
4280 0.98 1.20
4260 0.97 1.22
4110 0.94 1.76
3940 0.90 2.08
3495 0.80 3.92
3103 0.71 5.42
2553 0.58 7.73
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 24 psi (3.5 ksf = 165 kPa)
Average (1) Shearing Strain, %
Material Damping Ratio (2), D, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 24 psi (3.5 ksf = 165 kPa)
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Material Damping Ratio,
D, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 48 psi (6.9 ksf = 331 kPa)
7.39E-05 9.32
1.43E-04 9.32
2.80E-04 8.98
5.19E-04 8.94
1.04E-03 9.02
2.08E-03 9.44
4.36E-03 10.2
5.68E-03 10.51
1.16E-02 11.65
2.63E-02 13.37
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Tenth Cycle
5920 1.00 1.01
5870 1.00 1.05
5790 0.98 1.29
5620 0.95 1.55
5232 0.89 2.37
4466 0.76 4.83
Average (1) Shearing Strain, %
Material Damping Ratio (2), D, %
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 48 psi (6.9 ksf = 331 kPa)
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Material Damping Ratio,
D, %
Table B.2
2.35E-04 2841 1.00 1.36E-04
4.66E-04 2841 1.00 4.66E-04
8.67E-04 2812 0.99 5.09E-04
1.76E-03 2675 0.94 1.03E-03
3.65E-03 2420 0.85 2.06E-03
8.35E-03 1982 0.70 4.42E-03
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Average (1) Shearing Strain, %
11.13
11.57
10.78
10.96
11.87
13.84
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic
Material Damping Ratio (2), D, %
Table B.3
First Cycle
2.99E-04 2670 1.01 1.48
5.91E-04 2620 0.99 1.76
1.14E-03 2550 0.96 1.79
2.40E-03 2400 0.91 2.44
5.56E-03 2080 0.79 3.83
1.15E-02 1680 0.64 5.42
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Tenth Cycle
2.99E-04 2650 1.01 1.47
5.96E-04 2620 0.99 1.72
1.15E-03 2540 0.96 1.86
2.45E-03 2360 0.90 2.48
5.70E-03 2030 0.77 3.87
1.21E-02 1600 0.61 5.63
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 6 psi (0.9 ksf = 41 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Table B.4
9.27E-05 4368 1.00 9.27E-05
1.75E-04 4364 1.00 1.75E-04
3.43E-04 4414 1.01 3.43E-04
6.35E-04 4381 1.00 6.35E-04
1.27E-03 4331 0.99 1.27E-03
2.58E-03 4125 0.94 2.58E-03
5.52E-03 3696 0.84 5.52E-03
1.24E-02 3008 0.69 1.24E-02
2.81E-02 2267 0.52 1.51E-02
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Average (1) Shearing Strain, %
7.36
10.38
9.93
9.87
10.04
10.69
12.02
13.18
13.45
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic
' = 24 psi (3.5 ksf = 165 kPa)
Material Damping Ratio (2), D, %
Table B.5
First Cycle
1.79E-04 4380 1.00 1.08
3.61E-04 4350 1.00 1.06
7.33E-04 4280 0.98 1.21
1.01E-03 4260 0.98 1.21
1.89E-03 4150 0.95 1.75
3.15E-03 3990 0.91 2.03
7.02E-03 3555 0.81 4.05
1.10E-02 3215 0.74 5.45
2.05E-02 2642 0.61 7.85
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Tenth Cycle
1.78E-04 4390 1.00 1.03
3.60E-04 4380 1.00 1.01
7.33E-04 4280 0.98 1.20
1.02E-03 4260 0.97 1.22
1.90E-03 4110 0.94 1.76
3.17E-03 3940 0.90 2.08
7.16E-03 3495 0.80 3.92
1.14E-02 3103 0.71 5.42
2.12E-02 2553 0.58 7.73
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 24 psi (3.5 ksf = 165 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Table B.6
7.39E-05 5922 1.00 7.39E-05
1.43E-04 5923 1.00 1.43E-04
2.80E-04 5923 1.00 2.80E-04
5.19E-04 5904 1.00 5.19E-04
1.04E-03 5905 1.00 1.04E-03
2.08E-03 5761 0.97 2.08E-03
4.36E-03 5435 0.92 4.36E-03
9.57E-03 4681 0.79 5.68E-03
2.04E-02 3749 0.63 1.16E-02
4.89E-02 2625 0.44 2.63E-02
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 48 psi (6.9 ksf = 331 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus, G/Gmax
Average (1) Shearing Strain, %
9.32
9.32
8.98
8.94
9.02
9.44
10.2
10.51
11.65
13.37
(1) Average Shearing Strain from the First Three Cycle of the Free Vibration Decay Curve
(2) Average Damping Ratio from the First Three Cyclce of the Free Vibration Decay Curve
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from RC Tests of Specimen UTA-62-B (2C); Isotropic
' = 48 psi (6.9 ksf = 331 kPa)
Material Damping Ratio (2), D, %
Table B.7
First Cycle
2.69E-04 5890 1.00 0.99
5.32E-04 5850 1.00 1.12
1.02E-03 5790 0.99 1.26
2.30E-03 5660 0.96 1.65
4.86E-03 5291 0.90 2.45
1.22E-02 4554 0.78 4.89
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 48 psi (6.9 ksf = 331 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
Tenth Cycle
2.70E-04 5920 1.00 1.01
5.30E-04 5870 1.00 1.05
1.02E-03 5790 0.98 1.29
2.29E-03 5620 0.95 1.55
4.90E-03 5232 0.89 2.37
1.23E-02 4466 0.76 4.83
Variation in Shear Modulus, Normalized Shear Modulus and Material Damping Ratio with Shearing Strain from TS Tests of Specimen UTA-62-B (2C); Isotropic Confining Pressure, σo' = 48 psi (6.9 ksf = 331 kPa)
Peak Shearing Strain, %
Shear Modulus, G, ksf
Normalized Shear Modulus,
G/Gmax
Material Damping Ratio,
D, %
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