8/12/2019 14SweSlipCirc Dam

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Swedish Slip Circle Method (Ordinary Method of Slices) 2014

Job no. VAC3061 Type of analysis (total stress = 1, effective stress = 2) 2Ass't 2 dam Parameters c & f(undrained = 1, effective values = 2) 2

(Section a: with drain layer)

Soil Properties layer 1 layer 2 Notes:

un. wt g = 21 19 kN/m3

Slice arc length is approximated as slice width b / cos b

c = 4 4 kN/m2

Layer 1 = saturated, layer 2 = moist

f= 27 27 degrees

tan f = 0.510 0.510

Slice Layer 1 Layer 2 Layer 1 Layer 2 Surcharge Tot. Wt + b W sin b W cos b Arc length Adopted cL x 1m Mean pore uL x 1m W cos b Adopted (W cos b

area area weight weight load (SL) SL, ie, W L c value pressure u - uL tan fvalue - uL)tan fm

2m

2kN kN kN kN degrees kN kN m kN/m

2kN kN/m

2kN kN kN

1 0.00 2.20 0.00 41.80 0.00 41.80 47 30.57 28.51 2.93 4.00 11.73 0.00 0.00 28.51 0.51 14.54

2 0.00 6.20 0.00 117.80 0.00 117.80 39 74.13 91.55 2.57 4.00 10.29 0.00 0.00 91.55 0.51 46.69

3 0.12 8.08 2.52 153.52 0.00 156.04 33 84.99 130.87 2.38 4.00 9.54 0.69 1.65 129.22 0.51 65.90

4 1.20 7.20 25.20 136.80 0.00 162.00 27 73.55 144.34 2.24 4.00 8.98 3.92 8.80 135.54 0.51 69.13

5 0.80 7.60 16.80 144.40 0.00 161.20 20 55.13 151.48 2.13 4.00 8.51 2.45 5.21 146.26 0.51 74.59

6 0.00 7.80 0.00 148.20 0.00 148.20 14 35.85 143.80 2.06 4.00 8.24 0.00 0.00 143.80 0.51 73.34

7 0.00 6.60 0.00 125.40 0.00 125.40 9 19.62 123.86 2.02 4.00 8.10 0.00 0.00 123.86 0.51 63.17

8 0.00 5.00 0.00 95.00 0.00 95.00 3.5 5.80 94.82 2.00 4.00 8.01 0.00 0.00 94.82 0.51 48.36

9 0.00 3.00 0.00 57.00 0.00 57.00 -3.5 -3.48 56.89 2.00 4.00 8.01 0.00 0.00 56.89 0.51 29.02

10 0.00 0.60 0.00 11.40 0.00 11.40 -8.5 -1.69 11.27 1.31 4.00 5.26 0.00 0.00 11.27 0.51 5.75

11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Sums 374.47 86.69 961.73 490.48

Factor of Safety= 1.54

8/12/2019 14SweSlipCirc Dam

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Swedish Slip Circle Method (Ordinary Method of Slices) 2014

Job no. VAC3061 Type of analysis (total stress = 1, effective stress = 2) 2Ass't 3 dam Parameters c & f(undrained = 1, effective values = 2) 2

(Section b: no drain layer)

Soil Properties layer 1 layer 2 Notes:

un. wt g = 21 19 kN/m3

Slice arc length is approximated as slice width b / cos b

c = 4 4 kN/m2

Layer 1 = saturated, layer 2 = moist

f= 27 27 degrees

tan f = 0.510 0.510

Slice Layer 1 Layer 2 Layer 1 Layer 2 Surcharge Tot. Wt + b W sin b W cos b Arc length Adopted cL x 1m Mean pore uL x 1m W cos b Adopted (W cos b

area area weight weight load (SL) SL, ie, W L c value pressure u - uL tan fvalue - uL)tan fm

2m

2kN kN kN kN degrees kN kN m kN/m

2kN kN/m

2kN kN kN

1 0.00 2.20 0.00 41.80 0.00 41.80 47 30.57 28.51 2.93 4.00 11.73 0.00 0.00 28.51 0.51 14.54

2 0.70 5.50 14.70 104.50 0.00 119.20 39 75.01 92.64 2.57 4.00 10.29 1.57 4.04 88.60 0.51 45.18

3 3.00 5.20 63.00 98.80 0.00 161.80 33 88.12 135.70 2.38 4.00 9.54 14.01 33.41 102.29 0.51 52.17

4 4.60 3.80 96.60 72.20 0.00 168.80 27 76.63 150.40 2.24 4.00 8.98 20.58 46.19 104.21 0.51 53.15

5 5.50 2.90 115.50 55.10 0.00 170.60 20 58.35 160.31 2.13 4.00 8.51 24.99 53.19 107.12 0.51 54.63

6 5.70 2.10 119.70 39.90 0.00 159.60 14 38.61 154.86 2.06 4.00 8.24 26.85 55.34 99.52 0.51 50.75

7 5.30 1.30 111.30 24.70 0.00 136.00 9 21.28 134.33 2.02 4.00 8.10 25.28 51.19 83.14 0.51 42.40

8 4.60 0.40 96.60 7.60 0.00 104.20 3.5 6.36 104.01 2.00 4.00 8.01 21.17 42.42 61.59 0.51 31.41

9 3.00 0.00 63.00 0.00 0.00 63.00 -3.5 -3.85 62.88 2.00 4.00 8.01 12.64 25.33 37.56 0.51 19.15

10 0.60 0.00 12.60 0.00 0.00 12.60 -8.5 -1.86 12.46 1.31 4.00 5.26 3.92 5.15 7.31 0.51 3.73

11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Sums 389.23 86.69 719.82 367.11

Factor of Safety= 1.17

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Swedish Slip Circle Method (Ordinary Method of Slices) 2014

Job no. VAC3061 Type of analysis (total stress = 1, effective stress = 2) 2

Ass't 3 dam Parameters c & f(undrained = 1, effective values = 2) 2

(Section c: with chimney drain & drain layer)

Soil Properties layer 1 layer 2 Notes:

un. wt g = 21 19 kN/m3

Slice arc length is approximated as slice width b / cos b

c = 4 4 kN/m2

Layer 1 = saturated, layer 2 = moist

f= 27 27 degrees

tan f = 0.510 0.510

Slice Layer 1 Layer 2 Layer 1 Layer 2 Surcharge Tot. Wt + b W sin b W cos b Arc length Adopted cL x 1m Mean pore uL x 1m W cos b Adopted (W cos b

area area weight weight load (SL) SL, ie, W L c value pressure u - uL tan fvalue - uL)tan fm

2m

2kN kN kN kN degrees kN kN m kN/m

2kN kN/m

2kN kN kN

___________________________________________________________________________________________________________

1 0.00 2.20 0.00 41.80 0.00 41.80 47 30.57 28.51 2.93 4.00 11.73 0.00 0.00 28.51 0.51 14.54

2 0.00 6.20 0.00 117.80 0.00 117.80 39 74.13 91.55 2.57 4.00 10.29 0.00 0.00 91.55 0.51 46.69

3 0.00 8.20 0.00 155.80 0.00 155.80 33 84.85 130.66 2.38 4.00 9.54 0.00 0.00 130.66 0.51 66.64

4 0.00 8.40 0.00 159.60 0.00 159.60 27 72.46 142.20 2.24 4.00 8.98 0.00 0.00 142.20 0.51 72.52

5 0.00 8.40 0.00 159.60 0.00 159.60 20 54.59 149.97 2.13 4.00 8.51 0.00 0.00 149.97 0.51 76.49

6 0.00 7.80 0.00 148.20 0.00 148.20 14 35.85 143.80 2.06 4.00 8.24 0.00 0.00 143.80 0.51 73.34

7 0.00 6.60 0.00 125.40 0.00 125.40 9 19.62 123.86 2.02 4.00 8.10 0.00 0.00 123.86 0.51 63.17

8 0.00 5.00 0.00 95.00 0.00 95.00 3.5 5.80 94.82 2.00 4.00 8.01 0.00 0.00 94.82 0.51 48.36

9 0.00 3.00 0.00 57.00 0.00 57.00 -3.5 -3.48 56.89 2.00 4.00 8.01 0.00 0.00 56.89 0.51 29.02

10 0.00 0.60 0.00 11.40 0.00 11.40 -8.5 -1.69 11.27 1.31 4.00 5.26 0.00 0.00 11.27 0.51 5.75

11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Sums 372.71 86.69 973.54 496.51

Factor of Safety= 1.56

8/12/2019 14SweSlipCirc Dam

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Swedish Slip Circle Method (Ordinary Method of Slices) 2014

Job no. VAC3061 Type of analysis (total stress = 1, effective stress = 2) 2

Ass't 3 dam Parameters c & f(undrained = 1, effective values = 2) 2

(Section d; upstream face, rapid drawdown)

Soil Properties layer 1 layer 2 Notes:

un. wt g = 21 19 kN/m3

Slice arc length is approximated as slice width b / cos b

c = 4 4 kN/m2

Layer 1 = saturated, layer 2 = moist

f= 27 27 degrees

tan f = 0.510 0.510

Slice Layer 1 Layer 2 Layer 1 Layer 2 Surcharge Tot. Wt + b W sin b W cos b Arc length Adopted cL x 1m Mean pore uL x 1m W cos b Adopted (W cos b

area area weight weight load (SL) SL, ie, W L c value pressure u - uL tan fvalue - uL)tan fm

2m

2kN kN kN kN degrees kN kN m kN/m

2kN kN/m

2kN kN kN

___________________________________________________________________________________________________________

1 0.00 2.00 0.00 38.00 0.00 38.00 48.0 28.24 25.43 2.99 4.00 11.96 0.00 0.00 25.43 0.51 12.97

2 0.25 5.95 5.25 113.05 0.00 118.30 40.0 76.04 90.62 2.61 4.00 10.44 0.00 0.00 90.62 0.51 46.22

3 3.38 5.22 70.98 99.18 0.00 170.16 34.5 96.38 140.23 2.43 4.00 9.71 16.70 40.53 99.71 0.51 50.85

4 5.80 3.60 121.80 68.40 0.00 190.20 26.5 84.87 170.22 2.23 4.00 8.94 24.99 55.85 114.37 0.51 58.33

5 7.00 2.60 147.00 49.40 0.00 196.40 20.0 67.17 184.56 2.13 4.00 8.51 29.89 63.62 120.94 0.51 61.68

6 7.30 1.70 153.30 32.30 0.00 185.60 15.0 48.04 179.28 2.07 4.00 8.28 32.83 67.98 111.30 0.51 56.76

7 7.10 1.30 149.10 24.70 0.00 173.80 9.5 28.69 171.42 2.03 4.00 8.11 34.30 69.55 101.86 0.51 51.95

8 6.50 0.70 136.50 13.30 0.00 149.80 4.0 10.45 149.44 2.00 4.00 8.02 31.36 62.87 86.56 0.51 44.15

9 5.40 0.20 113.40 3.80 0.00 117.20 -4.0 -8.18 116.91 2.00 4.00 8.02 25.48 51.08 65.83 0.51 33.5710 3.60 0.00 75.60 0.00 0.00 75.60 -9.5 -12.48 74.56 1.32 4.00 5.27 20.58 27.13 47.44 0.51 24.19

11 1.02 0.00 21.42 0.00 21.42 -15.0 -5.54 20.69 1.35 4.00 5.38 15.68 21.10 -0.41 0.51 -0.21

12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Sums 413.68 92.65 863.64 440.46

Factor of Safety= 1.29 (NB: This is without considering the extra resisting moment due to water pressure at u/s toe of dam

Taking the resisting force (~9.25 kN - see attached graph sheet) into account, the final factor of safety = (92.65 + 440.46 + 9.25) / 413.68 = 1.31 (bit low)