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hydraulic calculations 3-20-13Apartment Building Drawing Date:3/20/13 3/22/13 8:26 HYDRAULIC DESIGN INFORMATION SHEET Job Name: Apartment Building Location: 126 King St Northampton, MA Drawing Date: 3/20/13 Remote Area Number: 1 Contractor: Warehouse Mechanical Telephone:413 536-9222 342 Britton St Chicopee, MA Designer: JL Calculated By:SprinkCAD www.sprinkcad.com 451 N. Cannon Ave. Lansdale, PA 19446 Construction: Occupancy:Residential NFPA 13R Reviewing Authorities: __________________________________________________________________________ SYSTEM DESIGN __________________________________________________________________________ Code:NFPA 13R Hazard:Residential System Type:WET __________________________________________________________________________ Area of Sprinkler Oper. 806 sq ft| Sprinkler or Nozzle Density (gpm/sq ft) 0.100 | Make: Reliabl Area per Sprinkler 324.0 sq ft| Model: F1RES44 Hose Allowance Inside 0 gpm | K-Factor: 4.40 Hose Allowance Outside 100 gpm | Temperature Rating: 155 __________________________________________________________________________ CALCULATION SUMMARY 4 Flowing Outlets gpm Required: 229.3 psi Required: 100.8 @ City Supply __________________________________________________________________________ WATER SUPPLY __________________________________________________________________________ Water Flow Test | Pump Data | Date of Test 6/09 | Rated Capacity 0 gpm | Static Pressure 129.0 psi | Rated Pressure 0.0 psi | Residual Pres 105.0 psi | Elevation 0 | At a Flow of 1738 gpm | Make: | Elevation 2'0" | Model: | __________________________________________________________________________ Location: King Street Source of Information: Northampton Water Department __________________________________________________________________________ SYSTEM VOLUME 89 Gallons __________________________________________________________________________ Notes: Apartment Building Drawing Date:3/20/13 3/22/13 8:26 HYDRAULIC CALCULATION DETAILS HYDRAULIC FLOW LOSS QTY DESCRIPTION LENGTH C ID gpm psi TOTALS Hydr Ref W Required at Hyd Area 1 129 92.3 psi 1 2-1/2" Grvd 90 Ell 6' 120 2.469 129 0.4 1 Pipe 2½" 10x21 17' 120 2.635 129 0.8 1 2½" Grvd Shotgun Valve "90" 9' 120 2.469 129 0.6 Elevation Change 4'0" 1.7 Fixed Flow Inside Hose Stream 0 gpm ______ Total Loss for Riser 3.5 psi ______ Hydr Ref R1 Required at Base of Riser 129 95.7 psi 1 2½" Flngd Back Flow Valve Watts " CHART LOSS 129 4.4 1 Pipe 4" DIx18 Cl 350 UG w/3E,4T,1G 200' 140 4.238 129 0.7 Fixed Flow Outside Hose Stream 100 gpm ______ Total Loss for Underground 5.1 psi ______ Hydr Ref R2 Required at City Supply 229 100.8 psi Water Source129.9 psi static,105.9 psi residual @ 1738 gpm 229 gpm 129.3 psi ======= SAFETY PRESSURE 28.5 psi NOTE: Water Source has been adjusted to include a change of elevation of 2'0" flow test to point of connection Available Pressure of 129.3 psi Exceeds Required Pressure of 100.8 psi This is a safety margin of 28.5 psi or 22 % of Supply Maximum Water Velocity is 14.0 fps Apartment Building Drawing Date:3/20/13 3/22/13 8:26 Page 3 FITTING NAME TABLE ABBREV. NAME C Coupling E 90' Standard Elbow F 45' Elbow S Straight Flow Thru Tee T 90' Flow Thru Tee V Valve LEGEND HYD REF Hydraulic reference. Refer to accompanying flow diagram. __ K FACTOR Flow factor for open head or path where Flow (gpm) = K x -\/P Qa Flow added or subtracted Qt Total flow DIA Actual internal diameter of pipe C Hazen Williams pipe roughness factor Pf/ft Friction loss per foot of pipe PIPE Length of pipe FTNG'S Number of fittings. See table above. TOTAL Total length (PIPE + FTNG'S) Pt Total pressure (psi) at fitting Pe Pressure due to change in elevation where Pe = 0.433 x change in elevation Pf Friction loss (psi) to fitting where Pf = l x 4.52 x (Q/C)^1.85 / ID^4.87 Pv Velocity pressure (psi) where Pv = 0.001123 x Q^2/ID^4 Pn Normal pressure (psi), where Pn = Pt - Pv NOTES: - Pressures are balanced to 0.01 psi. Pressures are listed to 0.1 psi. Addition may vary by 0.1 psi due to accumulation of round off. - Calculations conform to NFPA 13. - Velocity Pressures are not considered in these Calculations Apartment Building Drawing Date:3/20/13 3/22/13 8:26 Page 4 NODE ELEVATION SPRINKLER PRESSURE ACTUAL MINIMUM ACTUAL NUMBER K-FACTOR FLOW FLOW DENSITY (FT) (GPM/(PSI^½)) (PSI) (GPM) (GPM) (GPM/SQ.FT) 1 34.00 4.40 53.2 32.1 16.9 0.19 2 34.00 4.40 53.0 32.0 16.9 0.19 3 34.00 4.40 54.2 32.4 32.4 0.10 4 34.00 4.40 55.3 32.7 14.4 0.23 10 24.00 68.8 11 34.00 57.1 12 34.00 56.2 13 34.00 56.0 14 24.00 68.1 15 24.00 67.7 16 24.00 67.4 A1 4.00 86.8 A2 4.00 87.6 W 4.00 92.3 Max velocity of 13.97 occurs in the pipe from 13 TO 12 Apartment Building Drawing Date:3/20/13 3/22/13 8:26 Tyco Fire Products Page 5 HYD. Qa DIA. FITTING PIPE Pt Pt REF "C" TYPES FTNG'S Pe Pv ******* NOTES ******* POINT Qt Pf/ft TOTAL Pf Pn PATH 1 FROM HYDRAULIC REFERENCE 2 TO W (PRIMARY PATH) 32.03 1.049 4E 19.25 53.0 53.0 K = 4.40 2 C=120 1T 13.00 4.3 0.0 32.03 0.311 32.25 10.0 53.0 Vel = 12.01 1.380 4.48 67.4 67.4 16 C=120 0.00 0.0 0.0 32.03 0.082 4.48 0.4 67.4 Vel = 6.94 1.610 1E 5.33 67.7 67.7 15 C=120 4.00 0.0 0.0 32.03 0.039 9.33 0.4 67.7 Vel = 5.10 2.067 3E 34.53 68.1 68.1 14 C=120 1T 25.00 0.0 0.0 32.03 0.011 59.53 0.7 68.1 Vel = 3.09 97.22 2.067 3E 46.58 68.8 68.8 10 C=120 15.00 8.7 0.0 See PATH 2 129.25 0.151 61.58 9.3 68.8 Vel = 12.48 2.157 1E 0.50 86.8 86.8 A1 C=120 6.15 0.0 0.0 129.25 0.123 6.65 0.8 86.8 Vel = 11.46 2.635 2E 85.41 87.6 87.6 A2 C=120 16.47 0.0 0.0 129.25 0.046 101.88 4.7 87.6 Vel = 7.68 W 129.25 92.3 K = 13.45 PATH 2 FROM HYDRAULIC REFERENCE 1 TO 10 32.10 1.049 9.00 53.2 53.2 K = 4.40 1 C=120 0.00 0.0 0.0 32.10 0.312 9.00 2.8 53.2 Vel = 12.03 32.40 1.380 0.50 56.0 56.0 13 C=120 0.00 0.0 0.0 See PATH 3 64.50 0.299 0.50 0.1 56.0 Vel = 13.97 UNITS - DIAMETER (INCH) LENGTH (FOOT) FLOW (GPM) PRESSURE (PSI) Apartment Building Drawing Date:3/20/13 3/22/13 8:26 Tyco Fire Products Page 6 HYD. Qa DIA. FITTING PIPE Pt Pt REF "C" TYPES FTNG'S Pe Pv ******* NOTES ******* POINT Qt Pf/ft TOTAL Pf Pn PATH 2 FROM HYDRAULIC REFERENCE 1 TO 10 CONTINUED 1.610 1E 2.73 56.2 56.2 12 C=120 4.00 0.0 0.0 64.50 0.141 6.73 0.9 56.2 Vel = 10.27 32.72 2.067 3E 36.70 57.1 57.1 11 C=120 3T 45.00 4.3 0.0 See PATH 4 97.22 0.089 81.70 7.3 57.1 Vel = 9.39 10 97.22 68.8 K = 11.72 PATH 3 FROM HYDRAULIC REFERENCE 3 TO 13 32.40 1.049 1T 0.75 54.2 54.2 K = 4.40 3 C=120 5.00 0.0 0.0 32.40 0.318 5.75 1.8 54.2 Vel = 12.15 13 32.40 56.0 K = 4.33 PATH 4 FROM HYDRAULIC REFERENCE 4 TO 11 32.72 1.049 1T 0.75 55.3 55.3 K = 4.40 4 C=120 5.00 0.0 0.0 32.72 0.323 5.75 1.9 55.3 Vel = 12.26 11 32.72 57.1 K = 4.33 UNITS - DIAMETER (INCH) LENGTH (FOOT) FLOW (GPM) PRESSURE (PSI) Flow (gpm)ISP20406080100120140100150200250300350400450500JobApartment Building126 King StNorthampton, MARemote Area: 1WaterStatic Pres: Resid. Pres: Flow: Date: 6/09Loc: King Street129.0105.01738psipsigpmRequiredPressure: Sys Flow: Sys+Hose: Safety Pres: Hd Elv Pres: 100.812922928.513.0psigpmgpmpsipsiHose AllowanceIn: Out: 0100gpmgpm Supply 13.0 psi 100 gpm hose Apartment Building Drawing Date:3/20/13 3/22/13 8:36 HYDRAULIC DESIGN INFORMATION SHEET Job Name: Apartment Building Location: 126 King St Northampton, MA Drawing Date: 3/20/13 Remote Area Number: 2 Contractor: Warehouse Mechanical Telephone:413 536-9222 342 Britton St Chicopee, MA Designer: JL Calculated By:SprinkCAD www.sprinkcad.com 451 N. Cannon Ave. Lansdale, PA 19446 Construction: Occupancy:Ordinary Group 1 Reviewing Authorities: __________________________________________________________________________ SYSTEM DESIGN __________________________________________________________________________ Code: Hazard: System Type:WET __________________________________________________________________________ Area of Sprinkler Oper. 944 sq ft| Sprinkler or Nozzle Density (gpm/sq ft) 0.150 | Make: RELIABL Area per Sprinkler 118.0 sq ft| Model: F1FR56 Hose Allowance Inside 0 gpm | K-Factor: 5.60 Hose Allowance Outside 0 gpm | Temperature Rating: 200 __________________________________________________________________________ CALCULATION SUMMARY 8 Flowing Outlets gpm Required: 404.9 psi Required: 29.3 @ City Supply __________________________________________________________________________ WATER SUPPLY __________________________________________________________________________ Water Flow Test | Pump Data | Date of Test 6/09 | Rated Capacity 0 gpm | Static Pressure 129.0 psi | Rated Pressure 0.0 psi | Residual Pres 105.0 psi | Elevation 0 | At a Flow of 1738 gpm | Make: | Elevation 2'0" | Model: | __________________________________________________________________________ Location: King Street Source of Information: Northampton Water Department __________________________________________________________________________ SYSTEM VOLUME 89 Gallons __________________________________________________________________________ Notes: Apartment Building Drawing Date:3/20/13 3/22/13 8:36 HYDRAULIC CALCULATION DETAILS HYDRAULIC FLOW LOSS QTY DESCRIPTION LENGTH C ID gpm psi TOTALS Hydr Ref W Required at Hyd Area 2 155 19.2 psi 1 2-1/2" Grvd 90 Ell 6' 120 2.469 155 0.5 1 Pipe 2½" 10x21 17' 120 2.635 155 1.1 1 2½" Grvd Shotgun Valve "90" 9' 120 2.469 155 0.8 Elevation Change 4'0" 1.7 Fixed Flow Inside Hose Stream 0 gpm ______ Total Loss for Riser 4.1 psi ______ Hydr Ref R1 Required at Base of Riser 155 23.3 psi 1 2½" Flngd Back Flow Valve Watts " CHART LOSS 155 5.1 1 Pipe 4" DIx18 Cl 350 UG w/3E,4T,1G 200' 140 4.238 155 1.0 Fixed Flow Outside Hose Stream 250 gpm ______ Total Loss for Underground 6.0 psi ______ Hydr Ref R2 Required at City Supply 405 29.3 psi Water Source129.9 psi static,105.9 psi residual @ 1738 gpm 405 gpm 128.2 psi ======= SAFETY PRESSURE 98.9 psi NOTE: Water Source has been adjusted to include a change of elevation of 2'0" flow test to point of connection Available Pressure of 128.2 psi Exceeds Required Pressure of 29.3 psi This is a safety margin of 98.9 psi or 77 % of Supply Maximum Water Velocity is 12.5 fps Apartment Building Drawing Date:3/20/13 3/22/13 8:36 Page 3 FITTING NAME TABLE ABBREV. NAME C Coupling E 90' Standard Elbow F 45' Elbow S Straight Flow Thru Tee T 90' Flow Thru Tee V Valve LEGEND HYD REF Hydraulic reference. Refer to accompanying flow diagram. __ K FACTOR Flow factor for open head or path where Flow (gpm) = K x -\/P Qa Flow added or subtracted Qt Total flow DIA Actual internal diameter of pipe C Hazen Williams pipe roughness factor Pf/ft Friction loss per foot of pipe PIPE Length of pipe FTNG'S Number of fittings. See table above. TOTAL Total length (PIPE + FTNG'S) Pt Total pressure (psi) at fitting Pe Pressure due to change in elevation where Pe = 0.433 x change in elevation Pf Friction loss (psi) to fitting where Pf = l x 4.52 x (Q/C)^1.85 / ID^4.87 Pv Velocity pressure (psi) where Pv = 0.001123 x Q^2/ID^4 Pn Normal pressure (psi), where Pn = Pt - Pv NOTES: - Pressures are balanced to 0.01 psi. Pressures are listed to 0.1 psi. Addition may vary by 0.1 psi due to accumulation of round off. - Calculations conform to NFPA 13. - Velocity Pressures are not considered in these Calculations Apartment Building Drawing Date:3/20/13 3/22/13 8:36 Page 4 NODE ELEVATION SPRINKLER PRESSURE ACTUAL MINIMUM ACTUAL NUMBER K-FACTOR FLOW FLOW DENSITY (FT) (GPM/(PSI^½)) (PSI) (GPM) (GPM) (GPM/SQ.FT) 5 5.00 5.60 11.4 18.9 17.7 0.16 6 5.00 5.60 12.7 19.9 17.7 0.17 7 5.00 5.60 12.6 19.9 17.7 0.17 8 5.00 5.60 12.2 19.6 17.7 0.17 9 5.00 5.60 10.0 17.7 17.7 0.15 10 5.00 5.60 11.1 18.7 17.7 0.16 11 5.00 5.60 12.3 19.6 17.7 0.17 12 5.00 5.60 13.4 20.5 17.7 0.17 27 5.00 13.4 28 5.00 13.7 A3 4.00 15.7 A4 4.00 15.9 W 4.00 19.2 Max velocity of 12.47 occurs in the pipe from A3 TO 27 Apartment Building Drawing Date:3/20/13 3/22/13 8:36 Tyco Fire Products Page 5 HYD. Qa DIA. FITTING PIPE Pt Pt REF "C" TYPES FTNG'S Pe Pv ******* NOTES ******* POINT Qt Pf/ft TOTAL Pf Pn PATH 1 FROM HYDRAULIC REFERENCE 9 TO W (PRIMARY PATH) 17.70 1.049 11.00 10.0 10.0 K = 5.60 9 C=120 0.00 0.0 0.0 17.70 0.104 11.00 1.1 10.0 Vel = 6.64 18.68 1.380 11.00 11.1 11.1 K = 5.60 10 C=120 0.00 0.0 0.0 36.38 0.104 11.00 1.1 11.1 Vel = 7.88 19.62 1.610 1T 4.95 12.3 12.3 K = 5.60 11 C=120 8.00 0.0 0.0 56.00 0.109 12.95 1.4 12.3 Vel = 8.91 20.53 1.610 1T 1.00 13.7 13.7 28 C=120 8.00 0.4 0.0 See PATH 4 76.53 0.193 9.00 1.7 13.7 Vel = 12.18 78.33 2.635 1E 42.87 15.9 15.9 A4 C=120 8.24 0.0 0.0 See PATH 2 154.86 0.065 51.11 3.3 15.9 Vel = 9.20 W 154.86 19.2 K = 35.38 PATH 2 FROM HYDRAULIC REFERENCE 5 TO A4 18.91 1.049 11.00 11.4 11.4 K = 5.60 5 C=120 0.00 0.0 0.0 18.91 0.117 11.00 1.3 11.4 Vel = 7.09 19.95 1.610 1T 4.95 12.7 12.7 K = 5.60 6 C=120 8.00 0.0 0.0 38.86 0.055 12.95 0.7 12.7 Vel = 6.18 39.48 1.610 1T 1.00 13.4 13.4 27 C=120 8.00 0.4 0.0 See PATH 3 78.33 0.202 9.00 1.8 13.4 Vel = 12.47 2.635 10.67 15.7 15.7 A3 C=120 0.00 0.0 0.0 78.33 0.018 10.67 0.2 15.7 Vel = 4.65 UNITS - DIAMETER (INCH) LENGTH (FOOT) FLOW (GPM) PRESSURE (PSI) Apartment Building Drawing Date:3/20/13 3/22/13 8:36 Tyco Fire Products Page 6 HYD. Qa DIA. FITTING PIPE Pt Pt REF "C" TYPES FTNG'S Pe Pv ******* NOTES ******* POINT Qt Pf/ft TOTAL Pf Pn A4 78.33 15.9 K = 19.67 PATH 3 FROM HYDRAULIC REFERENCE 8 TO 27 19.59 1.380 11.00 12.2 12.2 K = 5.60 8 C=120 0.00 0.0 0.0 19.59 0.033 11.00 0.4 12.2 Vel = 4.24 19.88 1.610 1T 6.05 12.6 12.6 K = 5.60 7 C=120 8.00 0.0 0.0 39.48 0.057 14.05 0.8 12.6 Vel = 6.28 27 39.48 13.4 K = 10.78 PATH 4 FROM HYDRAULIC REFERENCE 12 TO 28 20.53 1.610 1T 6.05 13.4 13.4 K = 5.60 12 C=120 8.00 0.0 0.0 20.53 0.017 14.05 0.2 13.4 Vel = 3.27 28 20.53 13.7 K = 5.55 UNITS - DIAMETER (INCH) LENGTH (FOOT) FLOW (GPM) PRESSURE (PSI) Flow (gpm)ISP20406080100120140100150200250300350400450500JobApartment Building126 King StNorthampton, MARemote Area: 2WaterStatic Pres: Resid. Pres: Flow: Date: 6/09Loc: King Street129.0105.01738psipsigpmRequiredPressure: Sys Flow: Sys+Hose: Safety Pres: Hd Elv Pres: 29.340540598.92.2psigpmgpmpsipsiHose AllowanceIn: Out: 00gpmgpm Supply 2.2 psi