20210824_ESC_calculations

EROSION &SEDIMENT CONTROL
t MODIFICATIONS
PRINCETON II QUARRY
HANSON AGGREGATES, LLC
SOUTH REGION
Mining Permit 51-05
JOHNSTON COUNTY
NORTH CAROLINA
ISSUED BY
DRAPER ADEN ASSOCIATES
Project R14551 N-01 G
August202I
Draper Aden Associates
Engineering ♦ Surveying ♦ Emirunmenial Services
114 Edinburgh South Drive, Suite 200—Cary, North Carolina 27511
Phone: [phone] - Fax: [phone] — www.daa.com
License No. F-1429

NARRATIVE
The calculations attached are for erosion and sediment control measures in connections with the
addition of a new pit across Rains Mill Road and overburden piles across Old Cornwallis Road, and
associated screening. The revisions and modifications now shown are as follows:
• Added overburden piles #6 through #8 with associated Sediment Basins.
• Created a new pit limits across Rains Mill Road.

Sediment Basin 6
Project:
Hanson Aggregates
Princeton Quarry
Draper Aden Associates
Project#:
R14551N-01
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Date:
8.2.21
By:
APIA
Basin Sizing Area= 6.5
loyri= 6.22
Drainage area 6 C= 0.4
25 yr i= 6.94
10-year runoff, Q,o: 16.17 fI3/sec
25-year runoff, Q25: 18.04
Olson
Disturbed area: 6.50 acres
Volume required = 1800 ft' per acre disturbed area
Sklmmer Sizing
=1800X 6.5=
11.700 ft'
Maximum water volume:
16 Ili
Max. Dewalering Time:
120 this
Surface area required = 325 112 par ft'/sec Q25
Minimum Skimmer Size:
2 In
=325 X 18.044 =
Factor to drain in 4 days:
4492
5,864 fe
Orifice area =
0.004 in'
Orifice diameter=
0.07 in
Basin Is rectangular.
Surface elevation: 141
Bottom elevation: 139
Ponding depth: 2 fl
Side slope ratio: 2 h : 1 v
Surface width: 29 ft
Surface length: 440 it
Surface area = 12,760 ftx ADEQUATE
Bottom width: 21
Bottom length: 432
Bottom area = 9072 fir
Ponding volume = 21,632 g' ADEQUATE
Spillway Design
Principal Spillway
Emergency Spillway
Riser 8 barrel, C.M.P.
Trapezoidal channel, 12" riprap lining
Basin Bottom Elevation: 139.0
Emergency Spillway Crest Elev.:
142.0
Emergency Spillway Width:
5.0 it
Principal Spillway Crest Elevation 141.0
Side Slope Rallo:
3.0 It hlil v
Riser Diameter. 24 In
Riser Circumference= eft
Riser Capacity Q 1.1 it head = 474.03 ft'Isec
Water Depth:
0.50 it
Barrel Diameter: 18 In
Area, A.
3.26 0
Barrel Area, A = 1.767 h
Welted Perimeter.
8.16 it
Welled Perimeter = 4.712 it
Hydraulic Radius, R:
0.398 it
Hydraulic Radius, R = 0.38 It
VR:
1.79
Roughness Coefficient, n: 0.024
Roughness Coeffiiclent. n:
0.078 (12" nprep)
Barrel Slope, S: 0.0200 hgl
Slope. S:
0.180 Rlh
Velocity, V=1A9/nxRmxSr0•: 4.55 fusee
Velocity, V=1.49/nxRa XSrn:
4.49 ft/sec
Barrel Capcity = 8.04 f0/sec
Emergency Spillway Capachy=VxA:
14.60 00lsec
Principal Spillway Capacity= 8.04 ft'/eec
Prin. Spillway Capacity Required (2-year
Emergency Spillway Capacity Required (025 -
18.044 - 8.04
Runoff, Disturbed Area): 5.86 ft'/sec
Principal Spillway Capacity) =
10.00 folsec
Top of Embankment Elevation:
143.0
Buoyancy Calculation
Unit weight of water:
62.4 Ib/ft'
Unit weight of concrete:
140 lb/ft'
Riser diameter.
24 in
=
2.00 It
Riser area:
3.14 ft'
Riser depth:
4 ft
Riser volume:
12.6 ft'
Riser displacement:
784 lb
Concrete dimensions: 5
x 5 x 1.5
Concrete volume:
37.5 ft'
Concrete weight:
6,250 lb
Concrete displacement:
2,340 lb
Combined displacement:
3.124 lb
Buoyant force:
-2,126 lb

Sediment Basin 7
Project:
Hanson Aggregates
Princeton Quarry
Associates
a Draper Aden
Project#:
R14551N-01
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Date:
8.2.21
BY.,
APM
Basin Sizing Area = 14.78
Drainage area 6 C= 0.4
10-year runo8, Quo: 36.77 ft'/sec
Disturbed area: 14.78 acres
Volume required = 1800 ft' par acre disturbed area
=1800 X 14.78 =
26,604 ft'
Surface area required = 325 ft' per ft /sec 025
=325 X 41.02928 =
13,335 ft'
Basin is rectangular.
Surface elevation: 144
Bottom elevation: 142
Ponding depth: 2 ft
Side slope ratio: 2 h : 1 v
Surface width: 24 ft
Surface length: 833 ft
Surface area= 19,992 ft' ADEQUATE
Bottom width: 16
Bottom length: 825
Bottom area = 13200 ti'
Ponding volume= 33,192 ft' ADEQUATE
Spillway Crest Elev.: 144.0
Emergency Spillway Width: 20.0 It
Side Slope Ratio: 3.0 ft hilt v
Water Depth: 0.75 ft
Area. A. 16.69 rl'
Welted Perimeter. 24.74 ft
Hydraulic Radius, R: 0.674 it
VR: 1.73
Roughness Coelfiicienl, n: 0.100 (6-10- grass)
Slope. S: 0.050 ft/ft
VeloGty, V=1.49/MR'r'xSw: 2.56 ft/sec
Emergency Spillway Capacity=Vxk 42.70 ft'Isec
26-year rung, On: 41.03 elsec
10yri= 6.22
25 yr 1= 6.94
25-year mno8, 025: 41.03 ft'/sec
Skimmer Sizing
Maximum water volume:
26.804 ft3
Max. Dewatering Time:
120 bra
Minimum Skimmer Size:
2.5 in
Factor to drain In 4 days:
5080
Odfice area =
5.237 In'
Orifice diameter=
2.58 in

Sediment Basin 8A
Project:
Henson Aggregates
Princeton Qua
a Draper Aden Associates
Project#:
R14551N-01
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Date:
8.2.21
By:
APM
Basin Sizing Area=
19.81
Drainage area 6 C=
0.4
10-year runoff, Q,,: 49.29 ft3lsec
Disturbed area: 19.81 acres
Volume required = 1800 ft' per
acre disturbed area
=1800 X 19.81 =
35,658 ft'
Surface area required = 325 ft' per ft'/sec Q25
=325 X 54.99266 =
17.873 e
Basin is rectangular.
Surface elevation: 142
Bottom elevation: 140
Ponding depth: 2 it
Side slope ratio: 2 It :
1 v
Surface width: 36 ft
Surface length: 685 ft
Surface area = 24,660 a
ADEQUATE
Bottom width: 26
Bottom length: 677
Bottom area = 18956 ft'
Ponding volume = 43,616 ft'
ADEQUATE
SpIIMay Crest Elev.:
142.0
Emergency Spillway Width:
25.0 it
Side Slope Ratio:
3.0 it hlft v
Water Depth:
0.80 it
Area, A:
21.92 ft'
Wetted Perimeter:
30.06 8
Hydraulic Radius, R:
0.729 it
VR:
1.97
Roughness Coef lcient, n:
0.100 (6-10" grass)
Slope, S:
0.050 rim
Velocity, V=1.49/=R'XS1e:
2.70 Nees
Emergency Spillway Capacity=VXA:
59.11 Owe
25-year rung, Qn:
54.99 felsec
10 yr t= 6.22
25 yr l= 6.94
25-year runoff, Q25: 54.99 ft'/sec
Skimmer Sizing
Maximum water volume:
35,658 113
Max. Dewatering Time:
120 him
Minimum Skimmer Sirs:
3 in
Factor to drain In 4 days:
5060
Orifice area=
7.019 in'
Orifice diameter=
2.99 in

Sediment Basin 8B
Project.
Hanson Aggregates
Princeton guar
P Draper Aden Associates
Project k:
R14551N-01
F.nxlrmvynx • .Snnryi„x Enrl.ruun.vilu/Srnlna
Date:
8.2.21
By:
APM
Basin Sizing Area= 6.5
10 yr 1- 6.22
Drainage area 6 C= 0.4
25 yr i= 6.94
10-year runoff. Oro: 16.17 fta/sec
25-year runoff, Q25: 18.04 fOlsec
Disturbed area: 6.50 acres
Volume required = 1800 ft' per acre disturbed area
Skimmer Sizing
=1800 X 6.5 =
11,700 ft'
Maximum water volume:
16 03
Max Dewatering Time:
120 bra
Surface area required = 325 it per ft'/sec Q25
Minimum Skimmer Size:
2 in
=325 X 18.044 =
Factor to drain in 4 days:
4492
5.864 ft'
Orifice area =
0.004 in'
Orifice diameter
0.071n
Basin Is rectangular.
Surface elevation: 141
Bottom elevation: 139
Ponding depth: 2 ft
Side slope ratio: 2 h : 1 v
Surface width: 29 ft
Surface length: 440 ft
Surface area= 12,760 ft' ADEQUATE
Bottom width: 21
Bottom length: 432
Bottom area = 9072 IV
Pending volume= 21,832 ft' ADEQUATE
Spillway Design
Principal Spillway
Emergency Spillway
Riser 8 barrel, C.M.P.
Trapezoidal channel, 12" dprap lining
Basin Bottom Elevation: 139.0
Emergency Spillway Crest Elev.:
142.0
Emergency Spillway Width:
5.0 ft
Principal Spillway Crest Elevation 141.0
Side Slope Ratio:
3.0 ft h(ft v
Riser Diameter: 24 In
Riser Circumference = 6 It
Riser Capacity a 1.1 ft head = 474.03 fiIsec
Water Depth:
0.60 ft
Barrel Diameter: 18 In
Area, A
3.25 ft°
Barrel Area, A = 1.767 ft
Welled Perimeter.
8.16 It
Welted Perimeter = 4.712 ft
Hydraulic Radius, R:
0.398 It
Hydraulic Radius, R = 0.38 it
VR:
1.79
Roughness Coefficient, n: 0.024
Roughness Coelficienl, n:
0.078 (12• riprep)
Barrel Slope, S: 0.0200 ft/ft
Slope, S:
0.190 ft/ft
Velocity, V=1.49/nxRv'xS`o": 4.55 ft/sec
Velocity, V=1.49Inxfe'XSrn:
4.49 ft/sec
Barrel Cepcily = 8.04 ftrlsec
Emergency Spillway Capacity=VxA:
14.60 ft'/sec
Principal Spillway Capacity= 8,04 ft'/sec
Prin. Spillway Capacity Required (2-year
Emergency Spillway Capacity Required (O25 -
18.044 - 8.04
Runoff, Disturbed Area): 5.85 Osec
Principal Spillway Capacity) =
10.00 ft'/sec
Top of Embankment Elevation:
143.0
Buoyancy Calculation
Unit weight of water:
62.4 lb/ft'
Unit weight of concrete:
140 lb/ft'
Riser diameter:
24 In
=
2.00 it
Riser area:
3.14 ft'
Riser depth:
4 ft
Riser volume:
12.6 ft'
Riser displacement:
784 lb
Concrete dimensions: 5
x 5 x 1.5
Concrete volume:
37.5 ft'
Concrete weight:
6.250 lb
Concrete displacement
2.340 lb
Combined displacement:
3.124 lb
Buoyant force:
-2,126 lb