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HomeMy WebLinkAbout20 - Design Report - Four Points Ph II - Stormwater STORMWATER DESIGN REPORT FOR: FOUR POINTS PHASE 2 SUBDIVISION BOZEMAN, MT Prepared By: Madison Engineering 895 Technology Blvd Ste 203 Bozeman, MT 59718 (406) 586-0262 OCTOBER 2020 FOUR POINTS PHASE 2 SUBDIVISION STORMWATER DESIGN REPORT A. Introduction The proposed development for the Four Points Phase 2 Subdivision is located within the SE ¼ of Section 34, Township 1 S, Range 5 E in the City of Bozeman Montana. The development is an expansion of the Four Points Phase 1 development. The developed area in Phase 2 will be approximately 13.79 acres, which is zoned for high density residential (R-4) development, and approximately 22.57 acres dedicated to wetland areas or common open space areas. Phase 2 includes the construction of two local City streets, Veronica Way from Cattail St to Kimberwicke St and extending existing Blondie St to Veronica Way. This report includes a description of the proposed stormwater management facilities and their design parameters. The report provides a stormwater plan, basin delineation, runoff calculations, conveyance structure sizing, and detention pond recommendations for the project. This Phase 2 report is in accordance with the previous stormwater reports that have been submitted for the Phase 1 development. The following references were used in the preparation of this report: a. COB Design Standards and Specifications Policy, 2004 (DSSP). Addendum #7 b. COB Modifications to Montana Public Works Standard Specifications (MPWSS) c. Four Points Phase 1 Subdivision Stormwater calculations (2014) d. Milkhouse Ave & Blondie St Stormwater Design Report (2014) The Four Points Subdivision is shown on the in the figure below: B. Existing Site Conditions The Four Points subdivision lies in northwest Bozeman, contains delineated wetlands which have been declared restricted wetland and common open space areas, and has slopes falling northward between 1% and 2%. There are no delineated floodplains in the subdivision. A geotechnical report was conducted for the entire Four Points Phase 2 Development in 2015 by Allied Engineering. In general, soil conditions consist of a layer of topsoil 1.0 to 3.5 ft thick followed by a layer of silts and clays between 3.0 and 13.5 ft depths, followed by alluvial sandy gravel. Groundwater was monitored on the site and seasonal high groundwater levels were observed between 2 and 5 ft below the existing surface. It is anticipated that significant dewatering efforts will be required for utility construction. However, to date groundwater has not been observed in the existing stormwater ponds or infrastructure. A significant portion of the subdivision is delineated wetlands. During phase 1 construction, culvert crossings were provided under the roadways for the wetland areas. The proposed Phase 2 road improvements do not include additional culvert crossings. There are three existing stormwater detention basins on the site which will be utilized for the Phase 2 infrastructure. These detention ponds have been in place for about 5 years and are well established. Standing water has not been observed in any detention pond. These ponds were sized during the Phase 1 development and were made large enough to account for future Phase 2 drainage. These ponds are identified as follows: Park Detention Pond, Cattail St Detention Pond, and Blondie St Detention Pond. There are three additional ponds which exist on the site that serve development to the south including Baxter Meadows Phase 6. At the time of this submittal, no changes are proposed to these existing ponds. However, it is anticipated that future site development within proposed Lot 4 Block 3 will require adjustment to the existing pond within that lot. Additionally, there are existing stormwater pipes and curb inlets which were constructed with Phase 1 that were sized to serve the Phase 2 areas. These existing pipes and curb inlets will be utilized to convey runoff from the Phase 2 areas into the existing detention ponds. The existing stormwater infrastructure, existing detention ponds, delineated basins, and proposed improvements are displayed on the Stormwater Exhibit and Storm Pipe Exhibit included in the Appendix. C. Proposed Improvements Phase 2 includes the construction of two local City streets, Veronica Way from Cattail St to Kimberwicke St and extending existing Blondie St to Veronica Way. The Phase 2 subdivision establishes five developable lots that will drain into existing stormwater infrastructure via existing stormwater main pipe stubs or curb and gutter. The runoff then flows into one of the three existing detention ponds, which were sized to accommodate the Phase 2 development areas. The improvements include modification of the existing pond outfall structures to provide retention for the first 0.5” of rainfall per City requirements, as described herein. The existing stormwater infrastructure, existing detention ponds, delineated basins, and proposed improvements are displayed on the Stormwater Exhibit and Storm Pipe Exhibit included in the Appendix. D. Peak Flow (Runoff) Calculations Basins were delineated for the entire Four Points Subdivision as shown on the attached Stormwater Exhibit. The City of Bozeman design standards were utilized to estimate the peak runoffs for the 25-year event with the rational method. Runoff C coefficients were estimated for each basin in accordance with City design standards. A C coefficient of 0.65 was used for the developable lots. The peak runoffs are summarized in the table below, detailed calculations are included in the appendix: Drainage Area No. Area (Ac.) Weighted C 25 Yr Q (cfs) Drains to: A 1.26 0.67 1.19 Park Pond B 5.36 0.20 0.98 Park Pond C 1.25 0.74 1.66 Park Pond D 1.62 0.65 1.77 Blondie Pond E 5.52 0.65 5.83 Blondie Pond F 1.92 0.74 2.34 Blondie Pond G 2.68 0.65 3.31 Cattail Pond H 2.40 0.67 1.95 Cattail Pond I 3.05 0.65 3.85 Cattail Pond J 0.95 0.74 1.41 Cattail Pond K 6.83 0.65 6.44 Cattail Pond E. Conveyance Capacity Runoff from the basins flows into curb and gutter, then into existing curb inlets, and into existing stormwater piping. The curb, gutter, existing inlet, and existing pipe locations are displayed on the Storm Pipe Exhibit in the Appendix. The existing pipes were checked to ensure that they have capacity for the 25 year peak flows. A summary of the pipe size, slope, inflow, and capacity is shown in the table below: Pipe Contributing Basin Inflow Q(25) (cfs) Pipe Size Pipe Slope Pipe Capacity (cfs) EX Pipe 1 A 1.19 15" 0.50% 7.1 EX Pipe 2 D 1.77 15" 0.50% 7.1 EX Pipe 3 C, D 3.42 15" 0.50% 7.1 EX Pipe 4 A, B, C, D 5.59 18" 0.50% 11.5 EX Pipe 5 E, F, G 11.48 18" 0.50% 11.5 EX Pipe 6 K 6.44 18" 0.50% 11.5 EX Pipe 7 H, J, K 9.80 18" 0.50% 11.5 EX Pipe 8 H, I, J, K 13.66 24" 0.50% 24.8 The existing pipes have the capacity to handle the 25 year peak flows. Detailed pipe conveyance calculations are included in the Appendix. The existing and proposed curb & gutter and existing curb inlets were also checked for capacity and found to be adequate. For the existing curb inlets, both weir and orifice flow were considered. Three of the existing inlets are located at sag points on the existing roadways, which act as orifice flow. The remaining existing inlets are not at sag locations, so weir flow is appropriate. Detailed curb & gutter and curb inlet conveyance calculations are included in the Appendix. F. Stormwater Detention & Treatment Stormwater runoff is directed into three existing detention pond facilities, the Park pond, the Cattail St pond, and the Blondie St pond. These ponds were constructed in 2015 without consideration for the retention of the first 0.5” of rainfall per city standards. Therefore, slight modifications are proposed to the existing pond outfall structures to retain the first 0.5” of rainfall. This allows for the first 0.5” of rainfall on impervious areas to be retained in the pond for treatment prior to release. The modifications to the outfall structures consist of widening the outfall slot width, grouting or blocking off a portion of the existing bottom of the slot, and in the case of the Blondie St pond, raising the outfall structure. The modified outfall slot widths were sized to reduce the pond outflow rate to the pre-development flow rates. Additionally, the total pond volumes were checked to ensure that they are still adequate with the adjusted outfall structure configurations. Per City of Bozeman Standards, the maximum pond depth at the overflow is between 1.5’ and 2.5’. The pond volumes, maximum depths, and proposed slot widths are summarized in the table below: Pond Identification Proposed Volume at Overflow (cf) Proposed 0.5" Storm Retention Volume (cf) Pond Depth at Overflow (ft) Proposed Slot Width (ft) Park Pond 6,981 2,598 1.5 0.49 Cattail St 19,039 4,996 1.5 0.54 Blondie St 10,265 3,453 2.0 0.49 The stormwater ponds, outfall structures, and contributing basins are displayed in the attached Stormwater System Exhibit. Detailed calculations for pond sizing, outfall sizing, and retention volume for the 0.5” of rainfall are included in the Appendix. G. Stormwater Maintenance Plan The proposed storm drainage facilities will be privately operated and maintained by the Property Owner. A stormwater maintenance plan that describes maintenance operations and procedures is included in the Appendix. The property covenants should include these stormwater maintenance provisions. Appendices A. Exhibits B. Runoff Calculations C. Conveyance Calculations D. Detention Facility Calculations E. Stormwater Maintenance Plan Appendix A: Exhibits PROPOSED LOT 1 BLK 2 70,767 SF 1.62 ACRES PROPOSED LOT 2 BLK 2 179,501 SF 4.121 ACRES (WETLANDS) PROPOSED LOT 1 BLK 1 75,992 SF 1.74 ACRES (WETLANDS) PROPOSED LOT 4 BLK 3 78,120 SF 1.79 ACRES PROPOSED LOT 6 BLK 3 487,175 SF 11.18 ACRES (WETLANDS) EXISTING LOT 1 MINOR SUB 475 PUBLIC PARK 233,438 SF 5.359 ACRES ZONING: R3 PROPOSED COMMON OPEN SPACE LOT 5 BLK 3 24,009 SF, 0.55 ACRES (Detention Basin) PROPOSEDLOT 7 BLK 372,136 SF1.66 ACRES (LINEAR PARK) PROPOSED COMMON OPEN SPACE LOT 3 BLK 2 30,430 SF, 0.70 ACRES (Detention Basin) PROPOSED LOT 1 BLK3 9,914 SF 0.23 ACRES (Lift Station)VERONICA WAYBLONDIE STREET CATTAIL STREET KIMBERWICKE STREETMILKHOUSE AVEVAQUERO WAYCASPIAN AVEDAVIS LANEFERGUSON AVEKIMBERWICKE STREET EXISTING LOT 2 MINOR SUB 475 115,826 SF 2.659 ACRES ZONING: R3 EXISTING LOT 3MINOR SUB 475123,623 SF2.838 ACRES ZONING: R4 PROPOSEDLOT 4 BLK 2132,995 SF 3.05ACRES PROPOSED LOT 2 BLK 1 116,759 SF 2.68 ACRES PROPOSEDLOT 3 BLK 3 101,002 SF 2.32 ACRES PROPOSED LOT 2 BLK 3 101,437 SF 2.33 ACRES GREENWAY BLVDBASIN H 2.40 ACRES C = 0.67 BASIN A 1.26 ACRES C = 0.67 BASIN C 1.26 ACRES C = 0.74 BASIN F 1.92 ACRES C = 0.74 BASIN J 0.95 ACRES C = 0.74 BASIN D 1.62 ACRES C = 0.65BASIN B 5.36 ACRES C = 0.2 BASIN E 5.52 ACRES C = 0.65 BASIN G 2.68 ACRES C = 0.65 BASIN I 3.05 ACRES C = 0.65 BASIN K 6.83 ACRES C = 0.65 LEGEND 1" = 0 SCALE 100' 20050100 EXHIBITMADISON ENGINEERING 895 TECHNOLOGY BLVD, STE 203, BOZEMAN, MT 59718 PHONE (406) 586-0262 FOUR POINTS PHASE 2 STORMWATER EXHIBIT PROPOSED LOT 1 BLK 2 70,767 SF 1.62 ACRES PROPOSED LOT 2 BLK 2 179,501 SF 4.121 ACRES (WETLANDS) PROPOSED LOT 1 BLK 1 75,992 SF 1.74 ACRES (WETLANDS) PROPOSED LOT 4 BLK 3 78,120 SF 1.79 ACRES PROPOSED LOT 6 BLK 3 487,175 SF 11.18 ACRES (WETLANDS) EXISTING LOT 1 MINOR SUB 475 PUBLIC PARK 233,438 SF 5.359 ACRES ZONING: R3 PROPOSED COMMON OPEN SPACE LOT 5 BLK 3 24,009 SF, 0.55 ACRES (Detention Basin) PROPOSEDLOT 7 BLK 372,136 SF1.66 ACRES (LINEAR PARK) PROPOSED COMMON OPEN SPACE LOT 3 BLK 2 30,430 SF, 0.70 ACRES (Detention Basin) PROPOSED LOT 1 BLK3 9,914 SF 0.23 ACRES (Lift Station)VERONICA WAYBLONDIE STREET CATTAIL STREET KIMBERWICKE STREETMILKHOUSE AVEVAQUERO WAYCASPIAN AVEDAVIS LANEFERGUSON AVEKIMBERWICKE STREET EXISTING LOT 2 MINOR SUB 475 115,826 SF 2.659 ACRES ZONING: R3 EXISTING LOT 3MINOR SUB 475123,623 SF2.838 ACRES ZONING: R4 PROPOSEDLOT 4 BLK 2132,995 SF 3.05ACRES PROPOSED LOT 2 BLK 1 116,759 SF 2.68 ACRES PROPOSEDLOT 3 BLK 3 101,002 SF 2.32 ACRES PROPOSED LOT 2 BLK 3 101,437 SF 2.33 ACRES GREENWAY BLVDLEGEND 1" = 0 SCALE 100' 20050100 EXHIBITMADISON ENGINEERING 895 TECHNOLOGY BLVD, STE 203, BOZEMAN, MT 59718 PHONE (406) 586-0262 FOUR POINTS PHASE 2 STORM PIPE EXHIBIT Appendix B: Runoff Calculations Drainage Area No.Area (Ac.) Weighted C 100 Yr 25 Yr 10 Yr Drains to: A 1.26 0.67 1.95 1.19 0.88 Park Pond B 5.36 0.20 1.31 0.98 0.80 Park Pond C 1.25 0.74 3.08 1.66 1.19 Park Pond D 1.62 0.65 2.88 1.77 1.33 Blondie Pond E 5.52 0.65 9.51 5.83 4.37 Blondie Pond F 1.92 0.74 4.34 2.34 1.67 Blondie Pond G 2.68 0.65 5.43 3.31 2.49 Cattail Pond H 2.40 0.67 3.19 1.95 1.44 Cattail Pond I 3.05 0.65 6.34 3.85 2.90 Cattail Pond J 0.95 0.74 2.65 1.41 1.02 Cattail Pond K 6.83 0.65 10.44 6.44 4.82 Cattail Pond General Equation:i = a/(b+D)n where D is duration in hours, i = intensity in inches/hour Design Rainfall Freq.100 25 10 IDF coefficient a 1.01 0.78 0.64 IDF coefficient b 0 0 0 IDF coefficient n 0.67 0.64 0.65 Adjustment Factor Cf:1.25 1.1 1 60' ROW Cross-sectional dist (ft)C Landscaped 15 0.2 Paved (road&sidewalk)45 0.9 Total 60 0.73 65' ROW Cross-sectional dist (ft)C Landscaped 15 0.2 Paved (road&sidewalk)50 0.9 Total 65 0.74 Four Points Phase 2 Peak Flow Summary (cfs) Storm Information IDF Equations from Bozeman Stormwater Master Plan for City of Bozeman, March 1982 Weighted C Value - Local Streets (60' ROW) Peak flow calculations See SD1.2 for visual reference Drainage Areas - Post Development Weighted C Value - Local Streets (65' ROW) Page 1 of 5 60' ROW Cross-sectional dist (ft)C Landscaped 14 0.2 Paved (road&sidewalk)46 0.9 Total 60 0.74 Cross-sectional dist (ft)C Landscaped 15 0.2 Paved (road&sidewalk)30 0.9 Total 45 0.67 Estimated based on R-4 Zoning C = 0.65 Drainage Area A Area C 1.26 acres 0.67 Total 1.26 acres 0.67 1.00 percent 1200 feet Design Rainfall Freq. 100 25 10 years C*Cf 0.83 0.73 0.67 (Shall not exceed 1.00) Total tc:17.27 23.75 28.07 minutes intensity at tc 2.33 1.41 1.05 in/hr 2.0 1.2 0.9 cfs Drainage Area B Area C 5.36 acres 0.20 Total 5.36 acres 0.20 1.00 percent 800 feet Design Rainfall Freq. 100 25 10 years C*Cf 0.25 0.22 0.20 (Shall not exceed 1.00) Total tc:44.96 46.54 47.60 minutes intensity at tc 1.23 0.92 0.74 in/hr 1.3 1.0 0.8 cfs Drainage Area C Area C 1.25 acres 0.74 Total 1.25 acres 0.74 1.00 percent Travel Distance 900 feet Design Rainfall Freq. 100 25 10 years Weighted C Weighted C Value - Milkhouse Ave (60' ROW) Cattail & Ferguson Weighted C Value - Lot-Side Half of Ferguson & Cattail Weighted C Value - Developable Lots Travel Distance Peak Q values Average slope Average slope Travel Distance Weighted C Average slope peak runoff: Milkhouse 60' R.O.W. Existing Park peak runoff: Weighted C Page 2 of 5 C*Cf 0.92 0.81 0.74 (Shall not exceed 1.00) Total tc:10.05 16.25 20.38 minutes intensity at tc 3.34 1.80 1.29 in/hr 3.1 1.7 1.2 cfs Drainage Area D Area C 1.62 acres 0.65 Total 1.62 acres 0.65 0.50 percent 400 feet Design Rainfall Freq. 100 25 10 years C*Cf 0.81 0.72 0.65 (Shall not exceed 1.00) Total tc:13.55 18.14 21.20 minutes intensity at tc 2.74 1.68 1.26 in/hr 2.9 1.8 1.3 cfs Drainage Area E Area C Existing Lot 2 & 3 Minor Sub 475 5.52 acres 0.65 Total 5.52 acres 0.65 1.00 percent 700 feet Design Rainfall Freq. 100 25 10 years C*Cf 0.81 0.72 0.65 (Shall not exceed 1.00) Total tc:14.22 19.05 22.26 minutes intensity at tc 2.65 1.63 1.22 in/hr 9.5 5.8 4.4 cfs Drainage Area F Area C 1.92 acres 0.74 Total 1.92 acres 0.74 1.00 percent 1200 feet Design Rainfall Freq. 100 25 10 years C*Cf 0.92 0.81 0.74 (Shall not exceed 1.00) Total tc:11.46 18.64 23.42 minutes intensity at tc 3.06 1.65 1.18 in/hr 4.3 2.3 1.7 cfs Drainage Area G Area C Proposd Lot 2 Block 1 (R-4) 2.68 acres 0.65 Total 2.68 acres 0.65 1.25 percent 500 feet Blondie & Veronica 60' R.O.W. Weighted C Weighted C peak runoff: Average slope Weighted C Travel Distance Average slope Average slope Travel Distance peak runoff: Average slope Travel Distance peak runoff: Proposed Lot 1, Block 2 (R-4) Weighted C peak runoff: Travel Distance Page 3 of 5 Design Rainfall Freq. 100 25 10 years C*Cf 0.81 0.72 0.65 (Shall not exceed 1.00) Total tc:11.16 14.94 17.47 minutes intensity at tc 3.12 1.90 1.43 in/hr 5.4 3.3 2.5 cfs Drainage Area H Area C Cattail St 2.40 acres 0.67 Total 2.40 acres 0.67 0.50 percent 1200 feet Design Rainfall Freq. 100 25 10 years C*Cf 0.83 0.73 0.67 (Shall not exceed 1.00) Total tc:21.76 29.93 35.37 minutes intensity at tc 1.99 1.22 0.90 in/hr 3.2 1.9 1.4 cfs Drainage Area I Area C Proposed Lot 4 Block 2 (R-4) 3.05 acres 0.65 Total 3.05 acres 0.65 1.00 percent 400 feet Design Rainfall Freq. 100 25 10 years C*Cf 0.81 0.72 0.65 (Shall not exceed 1.00) Total tc:10.75 14.40 16.83 minutes intensity at tc 3.20 1.94 1.46 in/hr 6.3 3.9 2.9 cfs Drainage Area J Area C Veronica Way 65' R.O.W. 0.95 acres 0.74 Total 0.95 acres 0.74 1.40 percent 800 feet Design Rainfall Freq. 100 25 10 years C*Cf 0.92 0.81 0.74 (Shall not exceed 1.00) Total tc:8.36 13.60 17.09 minutes intensity at tc 3.78 2.02 1.45 in/hr 2.7 1.4 1.0 cfs Drainage Area K Area C 6.83 acres 0.65 Total 6.83 acres 0.65 1.00 percent 1000 feet Average slope Travel Distance peak runoff: Weighted C Average slope Travel Distance Weighted C Travel Distance peak runoff: Weighted C Average slope peak runoff: Travel Distance Weighted C Average slope peak runoff: This information was taken from the S. 11th Improvement project drainage report ("Basin J"). Proposed Lots 2, 3, 4 Block 3 Page 4 of 5 Design Rainfall Freq. 100 25 10 years C*Cf 0.81 0.72 0.65 (Shall not exceed 1.00) Total tc:17.00 22.77 26.61 minutes intensity at tc 2.35 1.45 1.09 in/hr 10.4 6.4 4.8 cfspeak runoff: Page 5 of 5 Appendix C: Conveyance Calculations Four Points Phase 2 Subdivision Stormwater Pipe Capacity Summary Pipe Contributing Basin Inflow Q(25) (cfs)Pipe Size Pipe Slope Pipe Capacity (cfs) EX Pipe 1 A 1.19 15" 0.50% 7.1 EX Pipe 2 D 1.77 15" 0.50% 7.1 EX Pipe 3 C, D 3.42 15" 0.50% 7.1 EX Pipe 4 A, B, C, D 5.59 18" 0.50% 11.5 EX Pipe 5 E, F, G 11.48 18" 0.50% 11.5 EX Pipe 6 K 6.44 18" 0.50% 11.5 EX Pipe 7 H, J, K 9.80 18" 0.50% 11.5 EX Pipe 8 H, I, J, K 13.66 24" 0.50% 24.8 DA Q(25) (cfs) A 1.19 B 0.98 C 1.66 D 1.77 E 5.83 F 2.34 G 3.31 H 1.95 I 3.85 J 1.41 K 6.44 CIRCULAR CHANNEL Manning's Eqn.1.486 A R2/3 S1/2 n Diameter,do (in) =15.0 Enter Value Diameter,do (ft) =1.25 Units =1.486 n =0.009 Slope, S (ft/ft)0.005 Depth, y (ft) Theta (rad) Area, A (ft 2) Wetted Perimeter, P (ft) Hydraulic Radius, R (ft) Top Width, T (ft) Hydraulic Depth, D (ft) Section Factor, Z (ft5/2) Q (cfs) Q (gpm) Q (gpd - 8 hour day) V (ft/s) Energy, E = V2/2g (ft) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0 0.0 0.0 0.0 0.00 0.06 0.90 0.02 0.56 0.04 0.54 0.04 0.00 0.0 14.2 6825.4 1.4 0.03 0.13 1.29 0.06 0.80 0.08 0.75 0.09 0.02 0.1 61.8 29674.5 2.2 0.07 0.19 1.59 0.12 0.99 0.12 0.89 0.13 0.04 0.3 143.9 69090.5 2.8 0.12 0.25 1.85 0.17 1.16 0.15 1.00 0.17 0.07 0.6 259.3 124468.8 3.3 0.17 0.31 2.09 0.24 1.31 0.18 1.08 0.22 0.11 0.9 405.6 194698.0 3.8 0.22 0.38 2.32 0.31 1.45 0.21 1.15 0.27 0.16 1.3 579.9 278343.1 4.2 0.27 0.44 2.53 0.38 1.58 0.24 1.19 0.32 0.22 1.7 778.6 373727.5 4.5 0.32 0.50 2.74 0.46 1.71 0.27 1.22 0.37 0.28 2.2 997.9 478974.9 4.9 0.37 0.56 2.94 0.54 1.84 0.29 1.24 0.43 0.35 2.7 1233.4 592031.1 5.1 0.41 0.63 3.14 0.61 1.96 0.31 1.25 0.49 0.43 3.3 1480.6 710671.1 5.4 0.45 0.69 3.34 0.69 2.09 0.33 1.24 0.56 0.52 3.9 1734.4 832495.6 5.6 0.48 0.75 3.54 0.77 2.22 0.35 1.22 0.63 0.61 4.4 1989.4 954914.8 5.8 0.52 0.81 3.75 0.84 2.34 0.36 1.19 0.71 0.71 5.0 2239.8 1075115.2 5.9 0.54 0.88 3.96 0.92 2.48 0.37 1.15 0.80 0.82 5.5 2479.2 1190001.2 6.0 0.56 0.94 4.19 0.99 2.62 0.38 1.08 0.91 0.94 6.0 2700.2 1296090.2 6.1 0.58 1.00 4.43 1.05 2.77 0.38 1.00 1.05 1.08 6.4 2894.4 1389314.9 6.1 0.58 1.06 4.69 1.11 2.93 0.38 0.89 1.25 1.24 6.8 3051.3 1464608.4 6.1 0.58 1.13 5.00 1.16 3.12 0.37 0.75 1.55 1.45 7.0 3156.0 1514862.7 6.0 0.57 1.19 5.38 1.20 3.36 0.36 0.54 2.21 1.79 7.1 3181.8 1527252.8 5.9 0.54 1.25 6.28 1.23 3.93 0.31 0.00 6.6 2962.1 1421822.7 5.4 0.45 Q = 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 Depth (ft) Q (CFS) V (ft/s) E (ft)ydoT THETA CIRCULAR CHANNEL Manning's Eqn.1.486 A R2/3 S1/2 n Diameter,do (in) =18.0 Enter Value Diameter,do (ft) =1.50 Units =1.486 n =0.009 Slope, S (ft/ft)0.005 Depth, y (ft) Theta (rad) Area, A (ft 2) Wetted Perimeter, P (ft) Hydraulic Radius, R (ft) Top Width, T (ft) Hydraulic Depth, D (ft) Section Factor, Z (ft5/2) Q (cfs) Q (gpm) Q (gpd - 8 hour day) V (ft/s) Energy, E = V2/2g (ft) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0 0.0 0.0 0.0 0.00 0.08 0.90 0.03 0.68 0.05 0.65 0.05 0.01 0.1 23.1 11098.9 1.6 0.04 0.15 1.29 0.09 0.97 0.10 0.90 0.10 0.03 0.2 100.5 48254.0 2.4 0.09 0.23 1.59 0.17 1.19 0.14 1.07 0.16 0.07 0.5 234.1 112348.8 3.1 0.15 0.30 1.85 0.25 1.39 0.18 1.20 0.21 0.12 0.9 421.7 202400.0 3.7 0.22 0.38 2.09 0.35 1.57 0.22 1.30 0.27 0.18 1.5 659.6 316600.4 4.3 0.28 0.45 2.32 0.45 1.74 0.26 1.37 0.32 0.25 2.1 943.0 452616.6 4.7 0.34 0.53 2.53 0.55 1.90 0.29 1.43 0.39 0.34 2.8 1266.1 607722.1 5.1 0.41 0.60 2.74 0.66 2.05 0.32 1.47 0.45 0.44 3.6 1622.6 778866.0 5.5 0.47 0.68 2.94 0.77 2.21 0.35 1.49 0.52 0.55 4.5 2005.6 962707.8 5.8 0.52 0.75 3.14 0.88 2.36 0.38 1.50 0.59 0.68 5.4 2407.6 1155629.5 6.1 0.57 0.83 3.34 1.00 2.51 0.40 1.49 0.67 0.81 6.3 2820.3 1353729.7 6.3 0.62 0.90 3.54 1.11 2.66 0.42 1.47 0.75 0.96 7.2 3235.0 1552796.8 6.5 0.66 0.98 3.75 1.22 2.81 0.43 1.43 0.85 1.12 8.1 3642.2 1748255.8 6.7 0.69 1.05 3.96 1.32 2.97 0.44 1.37 0.96 1.30 9.0 4031.4 1935073.1 6.8 0.72 1.13 4.19 1.42 3.14 0.45 1.30 1.09 1.49 9.8 4390.8 2107585.6 6.9 0.74 1.20 4.43 1.52 3.32 0.46 1.20 1.26 1.70 10.5 4706.6 2259179.2 6.9 0.74 1.28 4.69 1.60 3.52 0.45 1.07 1.49 1.96 11.1 4961.7 2381614.8 6.9 0.74 1.35 5.00 1.68 3.75 0.45 0.90 1.86 2.29 11.4 5131.9 2463333.8 6.8 0.72 1.43 5.38 1.73 4.04 0.43 0.65 2.65 2.82 11.5 5173.9 2483481.5 6.6 0.69 1.50 6.28 1.77 4.71 0.38 0.00 10.7 4816.8 2312040.6 6.1 0.57 Q = 0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 Depth (ft) Q (CFS) V (ft/s) E (ft)ydoT THETA CIRCULAR CHANNEL Manning's Eqn.1.486 A R2/3 S1/2 n Diameter,do (in) =24.0 Enter Value Diameter,do (ft) =2.00 Units =1.486 n =0.009 Slope, S (ft/ft)0.005 Depth, y (ft) Theta (rad) Area, A (ft 2) Wetted Perimeter, P (ft) Hydraulic Radius, R (ft) Top Width, T (ft) Hydraulic Depth, D (ft) Section Factor, Z (ft5/2) Q (cfs) Q (gpm) Q (gpd - 8 hour day) V (ft/s) Energy, E = V2/2g (ft) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0 0.0 0.0 0.0 0.00 0.10 0.90 0.06 0.90 0.07 0.87 0.07 0.02 0.1 49.8 23902.9 1.9 0.06 0.20 1.29 0.16 1.29 0.13 1.20 0.14 0.06 0.5 216.5 103921.1 3.0 0.14 0.30 1.59 0.30 1.59 0.19 1.43 0.21 0.13 1.1 504.1 241957.1 3.8 0.22 0.40 1.85 0.45 1.85 0.24 1.60 0.28 0.24 2.0 908.1 435893.6 4.5 0.32 0.50 2.09 0.61 2.09 0.29 1.73 0.35 0.37 3.2 1420.5 681838.4 5.2 0.41 0.60 2.32 0.79 2.32 0.34 1.83 0.43 0.52 4.5 2030.8 974766.2 5.7 0.51 0.70 2.53 0.98 2.53 0.39 1.91 0.51 0.70 6.1 2726.7 1308805.1 6.2 0.60 0.80 2.74 1.17 2.74 0.43 1.96 0.60 0.91 7.8 3494.6 1677384.9 6.6 0.68 0.90 2.94 1.37 2.94 0.47 1.99 0.69 1.14 9.6 4319.4 2073311.1 7.0 0.77 1.00 3.14 1.57 3.14 0.50 2.00 0.79 1.39 11.6 5185.0 2488792.0 7.4 0.84 1.10 3.34 1.77 3.34 0.53 1.99 0.89 1.67 13.5 6073.8 2915425.3 7.6 0.91 1.20 3.54 1.97 3.54 0.56 1.96 1.00 1.97 15.5 6967.0 3344141.0 7.9 0.97 1.30 3.75 2.16 3.75 0.58 1.91 1.13 2.30 17.5 7843.9 3765086.5 8.1 1.02 1.40 3.96 2.35 3.96 0.59 1.83 1.28 2.66 19.3 8682.1 4167420.8 8.2 1.05 1.50 4.19 2.53 4.19 0.60 1.73 1.46 3.05 21.1 9456.1 4538947.8 8.3 1.08 1.60 4.43 2.69 4.43 0.61 1.60 1.68 3.50 22.6 10136.3 4865423.5 8.4 1.09 1.70 4.69 2.85 4.69 0.61 1.43 1.99 4.02 23.8 10685.6 5129103.8 8.4 1.09 1.80 5.00 2.98 5.00 0.60 1.20 2.48 4.69 24.6 11052.3 5305095.8 8.3 1.06 1.90 5.38 3.08 5.38 0.57 0.87 3.54 5.80 24.8 11142.7 5348486.4 8.1 1.01 2.00 6.28 3.14 6.28 0.50 0.00 23.1 10373.5 4979267.0 7.4 0.84 Q = 0.0 5.0 10.0 15.0 20.0 25.0 30.0 0.00 0.50 1.00 1.50 2.00 2.50 Depth (ft) Q (CFS) V (ft/s) E (ft)ydoT THETA Allowable Pavement Encroachment Given:T =9.5 feet (max per city) W =1.5 feet Ts =8 feet Sw =0.0625 ft/ft Sx =0.03 ft/ft a =0.59 inches d =3.24 inches n =0.013 Sw/Sx =2.08 T/W =6.333333 Capacity for Gutter equations: Where: Qs =Discharge within the Roadway above the depressed section (cfs) Qw =Discharge within the depressed (gutter) section (cfs) Cf =0.56 for English units Sx =Pavement cross slope (ft/ft) Ts =Width of flow in the roadway above depressed section So =Gutter longitudinal slope (ft/ft) Sw =Gutter depression cross slope (ft/ft) T =Spread (ft) W =Width of gutter depression (ft) Capacity solution Gutter Capacity - Drainage Area A Gutter Capacity - Drainage Area B So =0.0100 Qs =3.19 cfs Eo =0.40 cfs Q =5.35 cfs Gutter Capacity - Drainage Area C Gutter Capacity - Drainage Area D So =0.0100 Qs =3.19 cfs Eo =0.40 cfs Q =5.35 cfs Gutter Capacity - Drainage Area E Gutter Capacity - Drainage Area F So =0.0100 Qs =3.19 cfs Eo =0.40 cfs Q =5.35 cfs Gutter Capacity - Drainage Area G Gutter Capacity - Drainage Area H So =0.0125 So =0.0050 Qs =3.57 cfs Qs =2.26 cfs Eo =0.40 cfs Eo =0.40 cfs Q =5.99 cfs Q =3.79 cfs Gutter Capacity - Drainage Area I Gutter Capacity - Drainage Area J So =0.0100 So =0.0140 Qs =3.19 cfs Qs =3.78 cfs Eo =0.40 cfs Eo =0.40 cfs Q =5.35 cfs Q =6.34 cfs Four Points PH 2 Subdivision Gutter Capacity Calculations N/A - This flow is directed via existing pipes into an existing 18" storm drain pipe N/A - This lot will flow into an existing 15" storm drain stub N/A - This lot overland flows into the existing park pond SWQQQ QEQoW 0 S E1 QQ 2 1 O3 8 S3 5 XfS STSn CQ   1 8/3 XW XWo 11T/W /SS1 /SS1E             Page 1 of 2 Gutter Capacity - Drainage Area K Summary DA Gutter Capacity (cfs) 25 Yr Design Flow (cfs) Capacity greater than 25- yr flow? A 5.35 1.19 Yes B N/A N/A N/A - This runoff overland flows into the existing park pond C 5.35 1.66 Yes D N/A N/A N/A - This flow will be directed into an existing 15" storm drain pipe stub E N/A N/A N/A - This flow is directed via existing pipes into an existing 18" storm drain pipe F 5.35 2.34 Yes G 5.99 3.31 Yes H 3.79 1.95 Yes I 5.35 3.85 Yes J 6.34 1.41 Yes K N/A N/A N/A - This flow will be directed into an existing 18" storm drain pipe stub Verdict The gutter capacity is adequate for each drainage area. N/A - This lot will flow into an existing 18" storm drain stub Page 2 of 2 Gutter Section Given: T =9.0 feet W =1.50 feet Ts =7.50 feet Sw =0.0625 ft/ft Sx =0.03 ft/ft a =0.59 inches d =3.24 inches n =0.015 Where: Qs = Discharge within the Roadway above the depressed section (cfs) Qw = Discharge within the depressed (gutter) section (cfs) Capacity for Inlets on Grade Cf = 0.56 for English units (Standard 24x36 Curb inlet) Sx = Pavement cross slope (ft/ft) Ts = Width of flow in the roadway above Drainage Area A - Existing Curb Inlet depressed section So = Gutter longitudinal slope (ft/ft) Qw =2.16 cfs Sw = Gutter depression cross slope (ft/ft) Qs =3.19 cfs T = Spread (ft) Cross-sectional area of flow W = Width of gutter depression (ft) A =1.22 ft2 Gutter Velocity V =4.41 ft/sec Fraction of side flow intercepted Rs =0.15 Total flow capacity intercepted by the inlet Qint =2.80 cfs Qbypass =2.56 cfs Design Q for inlet Q25 =1.19 cfs Single Inlet Sufficient Drainage Area C - Existing Curb Inlet Qw =2.16 cfs Qs =3.19 cfs Cross-sectional area of flow A =1.22 ft2 Gutter Velocity V =4.41 ft/sec Fraction of side flow intercepted Rs =0.15 Total flow capacity intercepted by the inlet Existing Weir Type Inlet Capacity Calculations Four Points Phase 2 Page 1 of 2 Qint =2.80 cfs Qbypass =2.56 cfs Design Q for inlet Q25 =1.66 cfs Single Inlet Sufficient Drainage Area H - Existing Curb Inlet Qw =0.91 cfs Qs =2.26 cfs Cross-sectional area of flow A =1.22 ft2 Gutter Velocity V =2.61 ft/sec Fraction of side flow intercepted Rs =0.31 Total flow capacity intercepted by the inlet Qint =1.94 cfs Qbypass =1.23 cfs Design Q for inlet Q25 =1.95 cfs Single Inlet Sufficient Drainage Area J - Existing Curb Inlet Qw =2.56 cfs Qs =3.78 cfs Cross-sectional area of flow A =1.22 ft2 Gutter Velocity V =5.21 ft/sec Fraction of side flow intercepted Rs =0.11 Total flow capacity intercepted by the inlet Qint =3.19 cfs Qbypass =3.15 cfs Design Q for inlet Q25 =1.41 cfs Single Inlet Sufficient Page 2 of 2 Basins F & G East Jordan Iron Works Orifice Flow Calculations: From Manufacturer's Website Where: Q = Flow (cfs) A = Open area in grate (in^2) d = Depth of water over grate (in) C = Rating Coefficient C = 0.0108 *From Manufacturer A = 225 in^2 *From Shop Drawing Submittal d = 4 in *City Maximum Q =4.86 cfs Basin Flows Half of Basin F 1.17 *Half is appropriate as Basin F flows into two sag inlets Half of Basin F plus Basin G 4.48 *Half of Basin F and all of Basin G will flow into one sag inlet Four Points Phase 2 Existing Orifice Type (Sag) Curb Inlet Capacity Calculations 𝑄=𝐶∗𝐴∗√𝑑 Appendix D: Detention Facility Calculations Four Points Phase 2 Existing Park Detention Pond Calculation of Required Volume for Storm Detention Pond (Reference: Bozeman Stormwater Master Plan - 1982) Design Rainfall Freq.10 year (see page III - 5 of master plan) IDF coefficient a 0.64 IDF coefficient b 0.00 IDF coefficient n 0.65 Pre-development Calculations Post-development Calculations Area (AC)C Area (AC)C Areas (ft2):Basin 1 9.49 0.20 Areas (AC):Basin A 1.26 0.67 Basin B 5.36 0.20 Basin C 1.25 0.74 Basin D 1.62 0.65 Total:9.49 Total:9.49 total area:9.49 acres total area:9.49 acres composite C:0.20 composite C:0.41 Overland tc Overland tc average slope:1.00 percent average slope:1.5 percent travel distance:900 feet travel distance:900 feet tc:50 minutes tc:34 minutes Channel tc Channel tc channel tc:minutes channel tc:2.6 minutes Total tc:50 minutes Total tc:36 minutes intensity at tc (fig 23):0.72 in/hr intensity at tc (fig 23):0.89 in/hr pre-devel peak runoff:1.36 cfs post-devel peak runoff:3.45 cfs Storm Duration Intensity Future Runoff Runoff Release Required (minutes)(in/hr)Rate (cfs)Volume (cf)Volume (cf)Storage (cf) 24 1.16 4.52 6511 1957 4554 25 1.13 4.40 6604 2038 4566 26 1.10 4.29 6696 2120 4576 27 1.08 4.19 6785 2201 4583 28 1.05 4.09 6872 2283 4589 29 1.03 4.00 6956 2365 4592 30 1.00 3.91 7039 2446 4593 32 0.96 3.75 7200 2609 4591 34 0.93 3.61 7355 2772 4583 36 0.89 3.47 7503 2935 4568 38 0.86 3.35 7647 3098 4548 40 0.83 3.24 7785 3261 4524 42 0.81 3.14 7919 3424 4495 44 0.78 3.05 8049 3588 4462 46 0.76 2.96 8175 3751 4425 48 0.74 2.88 8298 3914 4385 50 0.72 2.81 8418 4077 4341 52 0.70 2.74 8534 4240 4294 54 0.69 2.67 8647 4403 4245 56 0.67 2.61 8758 4566 4192 58 0.65 2.55 8866 4729 4137 60 0.64 2.49 8972 4892 4080 required detention storage (ft3) =4,593 Detention Pond Calculations: design depth of pond 1.50 feet max side slope 4.00 horizontal to 1.00 vertical length/width ratio 3.00 min. particle removed 40 microns (1 micron = 1 x 10-6 meters) settling velocity of particle 0.0069 feet/second min. pond to settle particle 499 square feet Existing approximate pond dimensions width 46 length 100 Volume held between contours: Cumulative Contour Area (ft2)Delta V (ft3)Volume (ft3) 4688.21 3,834 0 0 4689.00 4,681 3,363 3,363 4689.71 5,509 3,617 6,981 Design storage at 1.5' depth (ft3) =6,981 0.5 inch stormwater in roadways calculations within Basins A & C C Areas (ft2):asphalt 59,271 0.90 A =1.36 acres I = 0.021 in/hr (0.5" in 24 hrs) C =0.90 Q = 0.03 cfs Volume = 2,204 cf *0.5 inch stormwater from asphalt areas in Basins D C **Areas (ft2):asphalt 10,585 0.90 * Assumes 15% of the developed lot will be asphalt A =0.24 acres I = 0.021 in/hr (0.5" in 24 hrs) C =0.90 Q = 0.005 cfs Volume = 394 cf Total Volume=2,598 cf Elevated Weir Elevation above pond bottom Use Interpolation to solve for the pond height at the required volume 0.5" storm Volume 2,598 cf Volume of Pond at 0'=0 cf Volume of Pond at 0.79'=3,363 cf Interpolated Depth=0.61 ft slot weir h =0.61 ft overflow weir h =1.50 ft proposed slot elev =4688.82 ft prop. overflow weir elev =4689.71 ft existing slot elev = 4687.36 ft *the slot is lower than the pond bottom because there is a pipe from pond to outfall structure existing overflow elev =4689.71 ft existing slot width =0.25 ft proposed slot width =0.49 ft Flow Structure Calculations - Park Pond (Reference: City of Bozeman, Design Standards and Specifications Policy, March 2004, II.D.2, page 24) Note: see Figure A-2 in above reference. Rectangular weir - Q=3.33LH3/2 Determine Outlet Slot Width needed: Pre-development flow rate = 1.36 cfs Vertical Slot Height = 10.68 inches Req'd Outlet Slot Width = 0.49 feet or 5 7/8 inches Determine Outlet Flow: Outlet Slot Width = 5.83 inches stage above weir (ft)stage above bottom (ft)Q (cfs)Q (gpm) 0.00 0.61 0.00 0 0.10 0.71 0.05 23 0.20 0.81 0.14 65 0.30 0.91 0.27 119 0.40 1.01 0.41 184 0.50 1.11 0.57 257 0.60 1.21 0.75 338 0.70 1.31 0.95 426 0.80 1.41 1.16 520 0.89 1.50 1.36 610 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.00 0.50 1.00 1.50Discharge (cfs)Stage (ft) Flow through outlet Stage vs. Discharge Four Points Phase 2 Existing Blondie St Detention Pond Calculation of Required Volume for Storm Detention Pond (Reference: Bozeman Stormwater Master Plan - 1982) Design Rainfall Freq.10 year (see page III - 5 of master plan) IDF coefficient a 0.64 IDF coefficient b IDF coefficient n 0.65 Pre-development Calculations Post-development Calculations Area (AC)C Area (AC)C Areas (ft2):Basin E, F & G 10.12 0.20 Areas (AC):Basin E 5.52 0.65 Basin F 1.92 0.74 Basin G 2.68 0.65 Total:10.12 Total:10.12 total area:10.12 acres total area:10.12 acres composite C:0.20 composite C:0.67 Overland tc Overland tcaverage slope:1.38 percent average slope:2.0 percent travel distance:800 feet travel distance:800 feet tc:43 minutes tc:18 minutes Channel tc Channel tc channel tc:minutes channel tc:2.6 minutes Total tc:43 minutes Total tc:21 minutes intensity at tc (fig 23):0.80 in/hr intensity at tc (fig 23):1.27 in/hr pre-devel peak runoff:1.61 cfs post-devel peak runoff:8.60 cfs Storm Duration Intensity Future Runoff Runoff Release Required (minutes)(in/hr)Rate (cfs)Volume (cf)Volume (cf)Storage (cf) 30 1.00 6.78 12203 2904 9300 32 0.96 6.50 12482 3097 9385 34 0.93 6.25 12750 3291 9459 36 0.89 6.02 13007 3485 9523 38 0.86 5.81 13256 3678 9578 40 0.83 5.62 13496 3872 9624 42 0.81 5.45 13728 4065 9663 44 0.78 5.29 13954 4259 9695 46 0.76 5.14 14173 4452 9720 48 0.74 4.99 14385 4646 9739 50 0.72 4.86 14592 4840 9753 52 0.70 4.74 14794 5033 9761 54 0.69 4.63 14991 5227 9764 56 0.67 4.52 15183 5420 9762 58 0.65 4.42 15370 5614 9756 60 0.64 4.32 15554 5808 9746 62 0.63 4.23 15733 6001 9732 required detention storage (ft3) =9,764 Detention Pond Calculations: design depth of pond 2.00 feet max side slope 4.00 horizontal to 1.00 vertical length/width ratio 3.00 min. particle removed 40 microns (1 micron = 1 x 10-6 meters) settling velocity of particle 0.0069 feet/second min. pond to settle particle 1246 square feet existingpond dimentions assuming vertical side slopes width 35 length 148 Volume held between contours: Cumulative Contour Area (ft2)Delta V (ft3)Volume (ft3) 4691.00 757 4691.50 3,412 1,042 1,042 4692.00 5,974 2,347 3,389 4692.50 6,714 3,172 6,561 4693.00 8,101 3,704 10,265 Design storage at 2' depth (ft3) =10,265 0.5 inch stormwater in roadways calculations within Basin F C Areas (ft2):asphalt 39,262 0.90 A =0.90 acres I = 0.021 in/hr (0.5" in 24 hrs) C =0.90 Q = 0.02 cfs Volume = 1,460 cf *0.5 inch stormwater from asphalt area in Basin E & G C *Areas (ft2):asphalt 53,579 0.90 *Assumes 15% of the lot will be asphalt. A =1.23 acres I = 0.021 in/hr (0.5" in 24 hrs) C =0.90 Q = 0.023 cfs Volume = 1,993 cf Total Volume=3,453 cf Elevated Weir Elevation above pond bottom Use Interpolation to solve for the pond height at the required volume 0.5" storm Volume 3,453 cf Volume of Pond at 1.0'=3,389 cf Volume of Pond at 1.5'=6,561 cf Interpolated Depth=1.01 ft slot weir h =1.01 ft overflow weir h =2.00 ft proposed slot elev =4692.01 ft prop. overflow weir elev =4693.00 ft existing slot elev =4690.84 ft existing overflow elev =4692.35 ft existing slot width =0.33 ft proposed slot width =0.49 ft Flow Structure Calculations - Blondie St Pond (Reference: City of Bozeman, Design Standards and Specifications Policy, March 2004, II.D.2, page 24) Note: see Figure A-2 in above reference. Rectangular weir - Q=3.33LH3/2 Determine Outlet Slot Width needed: Pre-development flow rate = 1.61 cfs Vertical Slot Height = 11.88 inches Req'd Outlet Slot Width = 0.49 feet or 5 7/8 inches Determine Outlet Flow: Outlet Slot Width = 5.90 inches stage above weir (ft)stage above bottom (ft)Q (cfs)Q (gpm) 0.00 1.01 0.00 0 0.10 1.11 0.05 23 0.20 1.21 0.15 66 0.30 1.31 0.27 121 0.40 1.41 0.41 186 0.50 1.51 0.58 260 0.60 1.61 0.76 342 0.70 1.71 0.96 431 0.80 1.81 1.17 526 0.90 1.91 1.40 628 0.99 2.00 1.61 724 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.00 0.50 1.00 1.50Discharge (cfs)Stage (ft) Flow through outlet Stage vs. Discharge Four Points Phase 2 Existing Cattail St Detention Pond Calculation of Required Volume for Storm Detention Pond (Reference: Bozeman Stormwater Master Plan - 1982) Design Rainfall Freq.10 year (see page III - 5 of master plan) IDF coefficient a 0.64 IDF coefficient b IDF coefficient n 0.65 Pre-development Calculations Post-development Calculations Area (AC)C Area (AC)C Areas (ft2):Basin 1 13.23 0.20 Areas (AC):Basin H 2.40 0.67 Basin I 3.05 0.65 Basin J 0.95 0.74 Basin K 6.83 0.65 Total:13.23 Total:13.23 total area:13.23 acres total area:13.23 acres composite C:0.20 composite C:0.66 Overland tc Overland tc average slope:1.07 percent average slope:1.2 percent travel distance:1400 feet travel distance:1198 feet tc:62 minutes tc:27 minutes Channel tc Channel tc channel tc:minutes channel tc:2.6 minutes Total tc:62 minutes Total tc:29 minutes intensity at tc (fig 23):0.63 in/hr intensity at tc (fig 23):1.02 in/hr pre-devel peak runoff:1.67 cfs post-devel peak runoff:8.89 cfs Storm Duration Intensity Future Runoff Runoff Release Required (minutes)(in/hr)Rate (cfs)Volume (cf)Volume (cf)Storage (cf) 30 1.00 8.77 15786 2998 12788 32 0.96 8.41 16147 3198 12949 34 0.93 8.09 16493 3398 13095 36 0.89 7.79 16827 3598 13229 38 0.86 7.52 17148 3798 13350 40 0.83 7.27 17459 3998 13461 42 0.81 7.05 17759 4198 13562 44 0.78 6.84 18051 4398 13653 46 0.76 6.64 18334 4598 13737 48 0.74 6.46 18609 4797 13812 50 0.72 6.29 18877 4997 13880 52 0.70 6.13 19138 5197 13941 54 0.69 5.99 19392 5397 13995 56 0.67 5.85 19641 5597 14044 58 0.65 5.71 19883 5797 14087 60 0.64 5.59 20121 5997 14124 62 0.63 5.47 20353 6197 14156 64 0.61 5.36 20581 6397 14184 66 0.60 5.25 20803 6596 14207 68 0.59 5.15 21022 6796 14226 70 0.58 5.06 21236 6996 14240 72 0.57 4.96 21447 7196 14251 74 0.56 4.88 21653 7396 14257 76 0.55 4.79 21856 7596 14260 78 0.54 4.71 22056 7796 14260 80 0.53 4.64 22252 7996 14257 82 0.52 4.56 22445 8196 14250 84 0.51 4.49 22636 8395 14240 required detention storage (ft3) =14,260 Detention Pond Calculations: design depth of pond 1.50 feet max side slope 4.00 horizontal to 1.00 vertical length/width ratio 3.00 min. particle removed 40 microns (1 micron = 1 x 10-6 meters) settling velocity of particle 0.0069 feet/second min. pond to settle particle 1288 square feet Existing approximate pond dimensions width 55 length 270 Volume held between contours: Cumulative Contour Area (ft2)Delta V (ft3)Volume (ft3) 4686.62 11,054 4687.00 11,941 4,369 4,369 4688.00 14,478 13,210 17,579 4688.10 14,737 1,461 19,039 Design storage at 1.5' depth (ft3) =19,039 0.5 inch stormwater in roadways calculations within Basins H & J C Areas (ft2):asphalt 69,779 0.90 A =1.60 acres I = 0.021 in/hr (0.5" in 24 hrs) C =0.90 Q = 0.03 cfs Volume = 2,595 cf *0.5 inch stormwater from asphalt areas in Basins I & K C **Areas (ft2):asphalt 64,556 0.90 * Assumes 15% of the developed lot will be asphalt A =1.48 acres I = 0.021 in/hr (0.5" in 24 hrs) C =0.90 Q = 0.028 cfs Volume = 2,401 cf Total Volume=4,996 cf Elevated Weir Elevation above pond bottom Use Interpolation to solve for the pond height at the required volume 0.5" storm Volume 4,996 cf Volume of Pond at 0.38'=4,369 cf Volume of Pond at 1.38'=17,579 cf Interpolated Depth=0.53 ft slot weir h =0.53 ft overflow weir h =1.50 ft proposed slot elev =4687.15 ft prop. overflow weir elev =4688.10 ft existing slot elev =4686.1 ft *the slot is lower than the pond bottom because there is a pipe from pond to outfall structure existing overflow elev =4689.93 ft existing slot width =0.25 ft proposed slot width =0.54 ft Flow Structure Calculations - Cattail St Pond (Reference: City of Bozeman, Design Standards and Specifications Policy, March 2004, II.D.2, page 24) Note: see Figure A-2 in above reference. Rectangular weir - Q=3.33LH3/2 Determine Outlet Slot Width needed: Pre-development flow rate = 1.67 cfs Vertical Slot Height = 11.43 inches Req'd Outlet Slot Width = 0.54 feet or 6 4/8 inches Determine Outlet Flow: Outlet Slot Width = 6.46 inches stage above weir (ft)stage above bottom (ft)Q (cfs)Q (gpm) 0.00 0.53 0.00 0 0.10 0.63 0.06 25 0.20 0.73 0.16 72 0.30 0.83 0.29 132 0.40 0.93 0.45 203 0.50 1.03 0.63 284 0.60 1.13 0.83 374 0.70 1.23 1.05 471 0.80 1.33 1.28 575 0.90 1.43 1.53 687 0.97 1.50 1.71 768 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0.00 0.50 1.00 1.50Discharge (cfs)Stage (ft) Flow through outlet Stage vs. Discharge Appendix E: Stormwater Maintenance Plan Four Points Phase 2 Storm Water Maintenance Plan The stormwater facilities will be maintained and operated by the Owner of the development. The storm water facilities are intended to be operated with minimal maintenance. The suggested minimum maintenance, which will prevent system failure and reduce repair fees, are described below: 1. Site Housekeeping – regularly inspect all stormwater infrastructure and keep them free of leaves, rocks, trash, and other debris. 2. Monitoring – inspect the facilities periodically, especially after heavy rains (preferably monthly and after each storm event that delivers 0.5 inches or more of rainfall), to observe system performance. Significant ponding can be a warning sign of a plugged pipe or inlet. 3. Quarterly Maintenance - re-sod damaged or maintained landscaped areas. Inspect the flow control outfall structures to ensure that they are functioning properly and are free of debris. If needed, clean accumulated soil in stormwater pipes, culverts, or inlets. 4. Annual Maintenance - Remove accumulated sediment in sumps during the summer months. If accumulated sediment covers vegetation within the pond, remove it. Perform weed control within the pond and landscaped areas annually. 5. Owner to maintain and fund Operation and Maintenance of stormwater facilities. _______________________________ Steve Moore, Four Points MT LLC