Download - Hydraulic Calculations Fire Protection
HYDRAULIC CALCULATION for Sprinkler System
From NFPA 13 Density curve (Figure 11.2.3.1.1)assumption .15 gpm/sq.ft over 1500 sq.ft
From NFPA 13: protection areas & maximum spacingSprinkler protection area for Hydraulically calculated = 400 sq.ftQ = A * Density1 sprinkler flow = 400 sq.ft * 0.15 gpm/sq.ft
Q= 60 GPMACTUAL SPRINKLER PROTECTION AREA SCHEDULE 40Q = A * Density NPS ID
1 25mm 1.0491 sprinkler flow =242.92sq.ft * 0.15 gpm/sq.ft 1 1/4 32mm 1.38Q = 36.44 GPM 1 1/2 40mm 1.61P = (Q/K)^2 P=(14.52/8)^2 2 50mm 2.067P = 20.74 PSI 2 1/2 65mm 2.469
3 80mm 3.0684 100mm 4.0266 150mm 6.065
Flow requirements to meet 7psi pressure at end sprinkler SCHEDULE 10NPS ID
Q = k √p 1 1/4 32mm 1.442Where, 1 1/2 40mm 1.682Q = Flow from individual sprinkler 2 50mm 2.157k = Sprinkler k-factor (see NFPA-13, (2007) Table 6.2.3.1) 2 1/2 65mm 2.635p = Pressure from an individual sprinkler. 3 80mm 3.26
4 100mm 4.26Q = 8 x √7 psi 6 150mm 6.357
8 200mm 8.249Q = 21.17GPM
Qa = the flow added at this pointQt = the total flow in this pipe segmentC-factor = Pipe roughness factor black steel pipe = 120Pf = the pressure required to push the water Through this segment ofpipe.
FLOW ADJUSTMENT
NFPA-13, section 22.4.3.1.3 (FACTOR FOR PIPE SCHEDULE)
A = 242.92sq.ft.
Since the sprinkler requires 21.17 gpm to meet the 7 psi requirement and 20.74 gpm to meet the density requirement, the flow at the end sprinkler will be 20.74 GPM
CONVERSION OF EQUIVALENT LENGTH OF SCEHDULE 40 TO SCHEDULE 10
NPS MULTIPLIER SCHED.10 SCHED.401.25' 32mm 1.24 1.442 1.381.5 40mm 1.24 1.682 1.612 50mm 1.23 2.157 2.067
2.5 65mm 1.37 2.635 2.4693 80mm 1.34 3.26 3.0684 100mm 1.32 4.26 4.0266 150mm 1.26 6.357 6.065
STATIC HEAD1-foot of elevation = 0.433-psi/ft of pressure
Node FLOWPIPE SIZE (in)
Fittings (Equiv. length in ft.)GPM qty EL TEE r TEE x Rduc othr
Qa nomAct
Qt
1 to 2
Qa NOM 1 QTY EL TEE r TEE x RDUC. OTHR
Qt 21.17ACT 1.049 1
2 to T
Qa 26.34 NOM 1 QTY EL TEE r TEE x RDUC. OTHR
Qt 47.51ACT 1.049 1 12
A to B
Qa 34.58 NOM 2.5 QTY EL TEE r TEE x RDUC. OTHR
Qt 82.09ACT 2.469 1
B to C
Qa 34.83 NOM 2.5 QTY EL TEE r TEE x RDUC. OTHR
Qt 116.92ACT 2.469 1
C to D
Qa 35.38 NOM 2.5 QTY EL TEE r TEE x RDUC. OTHR
Qt 152.30ACT 2.469 1 15
D to TOR
Qa 37.09 NOM 3 QTY EL TEE r TEE x RDUC. OTHR
Qt 189.39ACT 3.068 1 21.00
Qa 38.35 NOM 6 QTY EL TEE r TEE x RDUC. GV
Qt 227.75ACT 6.357 1 4.00 80 3
TOR to BOR
Qa 38.42
311
NOM 6 QTY EL TEE r TEE x RDUC. OTHR
Qt 266.17ACT 6.357 1
BOR To PUMP
Qa 75.65 NOM 6 QTY EL TEE r TEE x SWCV GV
Qt 341.82ACT 6.357 1 162 30 32.00 27
TEST
Qa 76.01
18
NOM 6 QTY EL TEE r TEE x RDUC. OTHR
Qt 417.83ACT 6.357 1 84.00 90 3
HOSE
Qa 250.00 NOM 6 QTY EL TEE r TEE x RDUC. OTHR
Qt 667.83ACT 6.357
From NFPA table 11.2.3.1.2 Hose stream allowallowand water supply FIRE PUMP REQUIREMENT:750 GPM
@ Ordinary Hazard over combined inside & outside 210 psi TDH667.83 GPM 150 HPTOTAL = 667.83 GPM SYSTEM REQUIREMENTTDH = 194.7 PSI SYSTEM REQUIREMENT
ELEVATION (Ft)
PIPE EQ. LENGTHC-FACTOR
PSI/FT REQ. PRESSURE K-FACTORm ft PSI
L120 HAZEN WILLIAMS fric. Loss
Pt 20.74 5.6F Pftot Pe
TOT L 2.908 10
120 0.145
Pt 20.7
5.60 F 0 0 Pf 1.4
T 2.908 10 Pe 0.0
TOT L 3.916 13
120 0.645
Pt 22.1
5.612 F 0 12 Pf 16.0
T 3.916 25 Pe 0.0
TOT L 6 20
120 0.027
Pt 38.1
5.60 F 0 0 Pf 0.5
T 6 20 Pe 0.0
TOT L 7.117 23
120 0.053
Pt 38.7
5.60 F 0 0 Pf 1.2
T 7.117 23 Pe 0.0
TOT L 9.443 31
120 0.086
Pt 39.9
5.615 F 0 15 Pf 4.0
T 9.443 46 Pe 0.0
TOT L 14.265 47
120 0.045
Pt 43.9
5.621.00 F 0 21 Pf 3.0
T 14.265 68 Pe 0.0
TOT L 1.225 4
120 0.002
Pt 46.9
5.687.0 F 0 87 Pf 0.2
T 1.225 91 Pe 0.0
TOT L 94.81 311
120 0.002
Pt 47.1
5.60.00 F 0 0 Pf 0.8
T 94.81 311 Pe 134.7
TOT L 58.852 193
120 0.004
Pt 182.5
5.6251.0 F 0 251 Pf 1.7
T 58.852 444 Pe 0.0
TOT L 85.077 279
120 0.006
Pt 184.2
5.6177.00 F 0 177 Pf 2.5
T 85.077 456 Pe 8.0
TOT L 0
120
Pt 194.7
5.60.00 F 0 0 Pf
T 0 0 Pe
FIRE PUMP REQUIREMENT: JOCKEY PUMP REQUIREMENT:20 GPM210 psi TDH10 HP