Allowable nozzle load calculation.pdf

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FIRE W ATER STORAGE TANK

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Date

28-Feb-17

DESIGN CALCULATION FOR FIRE W ATER STORAGE TANK

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FIRE WATER STORAGE TANK

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Date

28-Feb-17

DESIGN CALCULATION FOR FIRE WATER STORAGE TANK

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 AREA CL-1007-24135-001

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FIRE WATER STORAGE TANK

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DESIGN CALCULATION FOR FIRE WATER STORAGE TANK

 Allowable external loads on nozzles (As per appendix - P) Nozzle size

=

18 inch.

a

=

228.5 mm

0.2285 m

L

=

933 mm

0.933 m

H

=

15000 mm

15 m

DT

=

82 ⁰C

R

=

15000 mm

G

=

t

=

1 18.00 mm

Step-1) Calculate the stiffness coefficients for the nozzle-tank connection

R/t

=

833.33

a/R

=

0.0152333

L/2a

=

2.04

For Radial load

(from fig. P2d)

KR/E(2a)

=

2 x 10

KR

=

2 x 10

KR

=

3 x 10

KL

=

3 x 10

KL

=

-4

-4

3

*(E(2a) )

(from fig. P2f)

=

6.5 x 10

KL

=

6 x 10

KL

=

KL/E(2a)

2

5.9E+09 N-mm/rad

For circumferential moment 3

*(E(2a))

(from fig. P2e)

=

KL/E(2a)

-4

18189 N/mm

For longitudinal moment 3

-4

-4

-4

3

*(E(2a) )

1.2E+10 N-mm/rad

Step-2) Calculate the unrestrained shell deflection & rotation at the nozzle centerline resulting from the hydrostatic head of the full tank

β

= =

β*L

=

W

=

1.285/(Rt)

0.5

0.00247 mm 2.31 rad -6

9.8X10 *G*H*R

2

-βL

[1-℮

cos(βL)-L/H] +α*R*∆T

E*t =

9.23

=

22.50

x mm

0.8382896

+

14.76

Owner

PETROLEUM DEVLOPMENT OMAN

 AREA FIRE WATER STORAGE TANK

Doc No

TAG No.

T-24135A/B

Rev.

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Date

28-Feb-17

DESIGN CALCULATION FOR FIRE WATER STORAGE TANK

θ

=

-6

9.8X10 *G*H*R

-βL

2

*{(1/H)-β℮

E*t = =

9.23

x

-0.000189

-0.001748 rad

XA

=

1162

XB

=

705

XC

=

933

Step-3) Determine the nondimensional quantities

XA/(Rt)

0.5

=

2.24

XB/(Rt)

0.5

=

1.36

XC/(Rt)

0.5

=

1.80

λ

=

a/(Rt)

0.5

=

0.44

From Fig P.4a & P.4b YF

=

1.30 N

YL

=

4.00 N-mm

YC

=

5.50 N-mm

Step-4) Construct the load nomograms

1.0-0.75*X A/(Rt)

0.5

=

-0.68

1.0-0.75*X B/(Rt)

0.5

=

-0.02

1.0-0.75*X C/(Rt)

0.5

=

-0.35

FP

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2

=

P*π*a

=

(9800)(1)(H-L)* π*a

2

=

22601.10 N

λ/2YF*(FR/FP)

=

7.48E-06 *F R

λ/aYL*(ML/FP)

=

2.13E-08 *M L

λ/aYC*(MC/FP)

=

1.55E-08 *M C

[cos(βL)+sin(βL)]}

Owner

PETROLEUM DEVLOPMENT OMAN

 AREA FIRE WATER STORAGE TANK

Doc No

TAG No.

T-24135A/B

Rev.

3

Date

28-Feb-17

DESIGN CALCULATION FOR FIRE WATER STORAGE TANK Step-5) Determine the Lmiting piping loads

λ/2YF*(FR/FP)

=

7.48E-06 *F R FR

λ/aYL*(ML/FP)

=

2.13E-08 *M L ML

λ/aYC*(MC/FP)

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=

1.55E-08 *M C MC

The Limiting Piping loads are as following FR

=

-90397.03 N

ML

=

-3.18E+07 N-mm

MC

=

-2.24E+07 N-mm

≤ =

-0.68 -90397.03 N

≤

-0.68

=

-3.18E+07 N-mm

≤

-0.35

=

-2.24E+07 N-mm