Hydraulic Calculations Fire Protection

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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 spacing Sprinkler protection area for Hydraulically calculated = 400 sq.ft Q = A * Density 1 sprinkler flow = 400 sq.ft * 0.15 gpm/sq.ft Q= 60 GPM ACTUAL SPRINKLER PROTECTION AREA SCHEDULE 40 Q = A * Density NPS ID 1 25mm 1.049 1 sprinkler flow =242.92sq.ft * 0.15 gpm/sq.ft 1 1/4 32mm 1.38 Q = 36.44 GPM 1 1/2 40mm 1.61 P = (Q/K)^2 P=(14.52/8)^2 2 50mm 2.067 P = 20.74 PSI 2 1/2 65mm 2.469 3 80mm 3.068 4 100mm 4.026 6 150mm 6.065 Flow requirements to meet 7psi pressure at end sprinkler SCHEDULE 10 NPS ID Q = k √p 1 1/4 32mm 1.442 Where, 1 1/2 40mm 1.682 Q = Flow from individual sprinkler 2 50mm 2.157 k = Sprinkler k-factor (see NFPA-13, (2007) Table 6.2.3.1) 2 1/2 65mm 2.635 p = Pressure from an individual sprinkler. 3 80mm 3.26 4 100mm 4.26 Q = 8 x √7 psi 6 150mm 6.357 8 200mm 8.249 Q = 21.17GPM Qa = the flow added at this point Qt = the total flow in this pipe segment C-factor = Pipe roughness factor black steel pipe = 120 Pf = the pressure required to push the water Through this segment of pipe. 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 th density requirement, the flow at the end sprinkler will be 20.74 GPM

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Transcript of Hydraulic Calculations Fire Protection

Page 1: 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

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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

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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)

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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