JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W5 (6m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level -5.00 mPD Tentative Rock Head Level 6 Min. Socket Length, L m 17.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.915 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.458 3.46 2.52 3.48
m m m m
65.11 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
13.64 m2 4.58 m2 9.1
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L) Total weight of rock = ( grock -gwater ) * V1
54.42 m3 225.2 m3 935
kN
Total weight of soil = ( gsoil -gwater ) * V2
2070 kN
Total weight
3005 kN
Summary Ultimate Tension Capacity 0.9Ru 2705 kN = Allowable Tension Capacity Ra 1002 kN =
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W5 (5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level -5.00 mPD Tentative Rock Head Level 5 Min. Socket Length, L m 16.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.915 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.458 2.89 2.52 2.48
m m m m
59.67 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
8.679 m2 3.63 m2 5.0
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L) Total weight of rock = ( grock -gwater ) * V1
35.31 m3 3
185
m
607
kN
Total weight of soil = ( gsoil -gwater ) * V2
1700 kN
Total weight
2307 kN
Summary Ultimate Tension Capacity 0.9Ru 2076 kN = Allowable Tension Capacity Ra 769 kN =
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W4 (5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 0.00 mPD Tentative Rock Head Level 7 Min. Socket Length, L m 13.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.915 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.458 4.04 2.52 4.48
m m m m
68.86 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
19.63 m2 5.49 m2 14.1
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
77.56 m3 149.8 m3
Total weight of rock = ( grock -gwater ) * V1
1333 kN
Total weight of soil = ( gsoil -gwater ) * V2
1377 kN
Total weight
2710 kN
Summary Ultimate Tension Capacity 0.9Ru 2439 kN = Allowable Tension Capacity Ra = 903.3 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W4 (5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 0.00 mPD Tentative Rock Head Level 6 Min. Socket Length, L m 12.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.915 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.458 3.46 2.52 3.48
m m m m
65.11 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
13.64 m2 4.58 m2 9.1
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L) Total weight of rock = ( grock -gwater ) * V1
54.42 m3 127.3 m3 935
kN
Total weight of soil = ( gsoil -gwater ) * V2
1170 kN
Total weight
2105 kN
Summary Ultimate Tension Capacity 0.9Ru 1895 kN = Allowable Tension Capacity Ra = 701.8 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W4 (5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 0.00 mPD Tentative Rock Head Level 5 Min. Socket Length, L m 11.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.915 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.458 2.89 2.52 2.48
m m m m
59.67 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
8.679 m2 3.63 m2 5.0
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
35.31 m3 104.6 m3
Total weight of rock = ( grock -gwater ) * V1
607
kN
Total weight of soil = ( gsoil -gwater ) * V2
961
kN
1568 kN
Total weight Summary Ultimate Tension Capacity 0.9Ru 1411 kN = Allowable Tension Capacity Ra = 522.6 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W3 (9m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 1.00 mPD Tentative Rock Head Level 9.5 m Min. Socket Length, L 15.00 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.121 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.061 5.48 1.84 7.66
m m m m
78.85 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
41.4 m2 5.71 m2 35.7
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
116.9 m3 127.2 m3
Total weight of rock = ( grock -gwater ) * V1
2010 kN
Total weight of soil = ( gsoil -gwater ) * V2
1169 kN
Total weight
3179 kN
Summary Ultimate Tension Capacity 0.9Ru 2861 kN = Allowable Tension Capacity Ra 1060 kN =
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W3 (9m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 1.00 mPD Tentative Rock Head Level 9 Min. Socket Length, L m 14.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.121 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.061 5.20 1.84 7.16
m m m m
78.22 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
36.86 m2 5.40 m2 31.5
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
104.2 m3 120.4 m3
Total weight of rock = ( grock -gwater ) * V1
1791 kN
Total weight of soil = ( gsoil -gwater ) * V2
1106 kN
Total weight
2898 kN
Summary Ultimate Tension Capacity 0.9Ru 2608 kN = Allowable Tension Capacity Ra 966 kN =
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W3 (8m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 1.00 mPD Tentative Rock Head Level 8 Min. Socket Length, L m 13.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.121 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.061 4.62 1.84 6.16
m m m m
76.72 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
28.57 m2 4.77 m2 23.8
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L) Total weight of rock = ( grock -gwater ) * V1 Total weight of soil = ( gsoil -gwater ) * V2
80.94 m3 106.8 m3 1391 kN 982
kN
2373 kN
Total weight Summary Ultimate Tension Capacity 0.9Ru 2136 kN = Allowable Tension Capacity Ra 791 kN =
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W3 (7m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 1.00 mPD Tentative Rock Head Level 7 Min. Socket Length, L m 12.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.121 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.061 4.04 1.84 5.16
m m m m
74.78 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
21.32 m2 4.14 m2 17.2
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L) Total weight of rock = ( grock -gwater ) * V1 Total weight of soil = ( gsoil -gwater ) * V2
60.59 m3 93.21 m3 1042 kN 857
kN
1898 kN
Total weight Summary Ultimate Tension Capacity 0.9Ru 1708 kN = Allowable Tension Capacity Ra = 632.7 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W3 (6m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 1.00 mPD Tentative Rock Head Level 6 Min. Socket Length, L m 11.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.121 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.061 3.46 1.84 4.16
m m m m
72.17 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
15.12 m2 3.50 m2 11.6
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
43.16 m3 79.55 m3
Total weight of rock = ( grock -gwater ) * V1
742
kN
Total weight of soil = ( gsoil -gwater ) * V2
731
kN
1473 kN
Total weight Summary Ultimate Tension Capacity 0.9Ru 1326 kN = Allowable Tension Capacity Ra 491 kN =
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W3 (5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 1.00 mPD Tentative Rock Head Level 5 Min. Socket Length, L m 10.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.121 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.061 2.89 1.84 3.16
m m m m
68.44 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
9.955 m2 2.85 m2 7.1
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
28.65 m3 65.81 m3
Total weight of rock = ( grock -gwater ) * V1
492
kN
Total weight of soil = ( gsoil -gwater ) * V2
605
kN
1097 kN
Total weight Summary Ultimate Tension Capacity 0.9Ru = 987.5 kN Allowable Tension Capacity Ra = 365.8 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W2 (5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 2.00 mPD Tentative Rock Head Level 6 Min. Socket Length, L m 10.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.915 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.458 3.46 2.52 3.48
m m m m
65.11 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
13.64 m2 4.58 m2 9.1
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
54.42 m3 88.14 m3
Total weight of rock = ( grock -gwater ) * V1
935
kN
Total weight of soil = ( gsoil -gwater ) * V2
810
kN
1745 kN
Total weight Summary Ultimate Tension Capacity 0.9Ru 1571 kN = Allowable Tension Capacity Ra = 581.8 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W2 (5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information Pile Cap Soffit Level / Existing Ground Level Tentative Rock Head Level Min. Socket Length, L Min. Pile Length, Lp Density of Rock, grock Density of Soil, gsoil
6.5 2.00 5 9.50
mPD mPD m m
27
kN/m
3
19
kN/m
3
9.81 kN/m3 2.915 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.458 2.89 2.52 2.48
m m m m
59.67 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
8.679 m2 3.63 m2 5.0
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
35.31 m3 72.39 m3
Total weight of rock = ( grock -gwater ) * V1
607
kN
Total weight of soil = ( gsoil -gwater ) * V2
665
kN
1272 kN
Total weight Summary Ultimate Tension Capacity 0.9Ru 1145 kN = Allowable Tension Capacity Ra = 424.1 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W1 (6.5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 1.00 mPD Tentative Rock Head Level 6 Min. Socket Length, L m 11.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 3.354 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.677 3.46 2.90 3.10
m m m m
61.04 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
12.79 m2 5.08 m2 7.7
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
59.51 m3 122.6 m3
Total weight of rock = ( grock -gwater ) * V1
1023 kN
Total weight of soil = ( gsoil -gwater ) * V2
1127 kN
Total weight
2150 kN
Summary Ultimate Tension Capacity 0.9Ru 1935 kN = Allowable Tension Capacity Ra = 716.6 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11/11/2013
Job No.
1125 Sheet
Rock Cone Effect - PC-W1 (5m socket)
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 1.00 mPD Tentative Rock Head Level 5 Min. Socket Length, L m 10.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 3.354 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.677 2.89 2.90 2.10
m m m m
54.48 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
7.924 m2 3.94 m2 4.0
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu*2 Volume of soil V2 = (p*ru2 - A*2) * (Lp-L)
38.07 m3 100.2 m3
Total weight of rock = ( grock -gwater ) * V1
654
kN
Total weight of soil = ( gsoil -gwater ) * V2
921
kN
1575 kN
Total weight Summary Ultimate Tension Capacity 0.9Ru 1417 kN = Allowable Tension Capacity Ra 525 kN =
Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
TWAH
Subject
By
L. Mok
Date
9-May-12
Job No.
1030 Sheet
Reaction Pile for SPLT - Rock Cone Effect
Checking for Rock Cone Effect - 4 Pile Group Information Pile Cap Soffit Level / Existing Ground Level 25.6 mPD 14.80 mPD Tentative Rock Head Level 6.5 m Min. Socket Length, L 17.30 m Min. Pile Length, Lp 27 kN/m3 Density of Rock, grock 19
Density of Soil, gsoil Density of Water, gwater Shorter Spacing of Piles 2a Longer Spacing of Piles 2b
3
9.81 kN/m3 1.4 m 2.704 m
Calculations of rock and soil mass for 1 pile a. Location from vertex to rock surface for two near 0.7 Radius of bottom rock cone, r1 = a 3.753 Radius of upper rock cone, ru 1.21 L1 = r1 / tan30 5.29 La = L - L1 -1
kN/m
piles m m m m
79.25 deg
q1 = cos (r1 / ru) 2
Area of A1 = p * (r3) * 2q1 / 360 2
2 0.5
Area of A2 = r1 * (r3 - r1 )
Overlapped area, Aa = A1 - A2 Overlapped volume, Va = 1/3*Aa*La
19.48 m2 2.58 m2 16.90 m2 29.78 m3
b. Location from vertex to rock surface for two far piles 1.352 m Radius of bottom rock cone, r2 = b 3.753 m Radius of upper rock cone, ru 2.34 m L2 = r2 / tan30 4.16 m Lb = L - L2 -1 68.88 deg q2 = cos (r2 / ru) 2
Area of A1 = p * (ru) * 2q2 / 360 2
2 0.5
Area of A2 = r2 * (ru - r2 )
Overlapped area, Ab = A1 - A2 Overlapped volume, Vb = 1/3*Ab*Lb
16.93 m2 4.73 m2 12.20 m2 16.91 m3
c. Location from r3 to rock surface to add back double deleted area 1.522 m Radius of bottom rock cone, r3 3.753 m Radius of upper rock cone, ru 2.64 m L3 = r3 / tan30 3.86 m Lc = L - L3 Calculation of shaded area: -1 10.75 deg a = sin (a/r) -1
21.12 deg 58.13 deg
b = sin (b/r) f = 90º - a - b 2
Sector OAB = p * (ru) * f / 360 2
2 0.5
2
2 0.5
O'A = (ru - b ) - a
7.145 m2 2.801 m 2.335 m
O'B = (ru - a ) - b 2
D OAB = 1/2 r sin f D O'AB = 1/2 O'A x O'B Shaded area Ac =
Sector OAB - D OAB + D O'AB Double deleted volume Vc = 1/3*Ac*Lc
5.980 m2 3.270 m2 4.434 m2 5.710 m3
Volume of rock cone 2
V1 = 1/3*p*ru *L- Va - Vb + Vc Volume of soil 2
V2 = (p*ru - Aa - Ab + Ac) * (Lp-L)
54.88 m3 211.5 m3
Total weight of rock = ( grock -gwater ) * V1
943
Total weight of soil = ( gsoil -gwater ) * V2
1943 kN
Total weight
2887 kN
kN
Summary Total Weight of 4-pile group rock cone = 11547 kN > 10866 kN Checked by
Date
Drawing No.
File Ref.
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
TWAH
Subject
By
L. Mok
Date
9-May-12
Job No.
1030 Sheet
Reaction Pile for SPLT - Checking for Pile Tension Capacity
Checking for Pile Tension Capacity Required capacity of 1 pile Test Load = No. of piles = Required Cap. = 1
10866 kN 4 2717 kN
Friction between rock and grout Allowable bond strength between rock and grout
350
kPa
Socket Diameter
550
mm
6
m
350
*
480
kPa
Socket Length 0.55
Friction between rock and grout = ( p * 2
)*
Pile perimeter
1327 mm
Pile length
10.50 m
Friction between steel and grout = 480
*
1.327
=
3629 kN
*
10.5
=
6688 kN
Steel Tensile stress Allowable axial working stress for H-piles = 0.5*fy = Allowable compression resistanc
215
(with minimum socket length =
Date
*
215
2
N/mm
28500 / 1000 =
6128 kN
3629 kN
Pile Tension Capacity = min(1,2,3) =
Checked by
6
Friction between steel and grout Allowable bond stress between steel and grout
3
(for Grade III rock)
6
Drawing No.
m & minimum pile length = 10.5
File Ref.
m)
Page No.
JMK CONSULTING ENGINEERS LIMITED Job
Siu Sau Tsuen
Subject
By
L. Mok
Date
11-Nov-13
Job No.
1125 Sheet
Rock Cone Effect
Checking for Rock Cone Effect - 2 Pile Group Information 6.5 mPD Pile Cap Soffit Level / Existing Ground Level 2.00 mPD Tentative Rock Head Level 6 Min. Socket Length, L m 10.50 m Min. Pile Length, Lp g Density of Rock, rock 27 kN/m3 Density of Soil, gsoil
19
kN/m
3
9.81 kN/m3 2.704 m
Density of Water, gwater Spacing of Piles Calculations Radius of bottom rock cone, rb Radius of upper rock cone, ru Lb = rb / tan30 Lu = L - Lb -1
1.352 3.46 2.34 3.66
m m m m
67.03 deg
q = cos (rb / ru) 2
Area of A1 = p * (ru) * 2q / 360 0.5
Area of A2 = rb * (ru2 + rb2)
Overlapped area, A = A1 - A2
14.04 m2 4.31 m2 9.7
2
m
Volume of rock cone 2
V1 = 1/3*p*ru *L-1/3*A*Lu Volume of soil V2 = (p*ru2 - A) * (Lp-L)
63.54 m3 125.9 m3
Total weight of rock = ( grock -gwater ) * V1
1092 kN
Total weight of soil = ( gsoil -gwater ) * V2
1157 kN
Total weight
2249 kN
Summary Ultimate Tension Capacity 0.9Ru 2024 kN = Allowable Tension Capacity Ra = 749.7 kN
Checked by
Date
Drawing No.
File Ref.
Page No.
