ML20217N712

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Rev 0 to Calculation 50097.05, Condensate Water Storage Tank Seismic Fragility
ML20217N712
Person / Time
Site: Crane 
Issue date: 03/28/1998
From:
EQE ENGINEERING CONSULTANTS (FORMERLY EQE ENGINEERING
To:
Shared Package
ML20217N635 List:
References
50097.05, 50097.05-R, 50097.05-R00, NUDOCS 9805050402
Download: ML20217N712 (42)


Text

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l A-Ia Condensate Water Storaae Tank ResDonse Calculations:

This MATHCAD template computes the response parameters which are needed in performing a tank evaluation per EPRI NP-6041 methodology for vertical flat bottom tanks. Inputs required are an earthquake, and the necessary tank parameters. Base units are feet, seconds, and pounds.

Derived Units:

kip a1000 lbf hz a 1 sec~ '

ksis 1000 psi Define Tank Geometry:

i R := 24 ft NominalInner Tank Radius H := 20-fi Height to Maximum Water Elevation t b := 0.25 in Bottom Plate Thickness td := 0.25 in Dome Thickness j

hd := 5.6 ft Estimated Clearance between Peak of Dome to Spring Line nrings := 3 Number of different diameter rings composing the tank shell

{0.25) t := 0.25 in Shell Thickness at Each Ring from Bottom of The Tank to The Top.

(0.25 j i

(6.67)

Hr:= 6.67 ft Height of Each Ring Measured from The Bottom of The Tank to The Top.

{6.66j Define Anchorace Details:

n := 16 Number of Equally Spaced Anchor Bolts

( := 1.5 in Anchor Bolt Diameter l

CST 2.MCD 4

2:50 PM

6

' lPl*f L A-t Define Material Properties:

E, := 29.010'. psi Young's MoCuius for Shell Material o := 0.30 Poisson's Rata 71 := 62.4 b Unit Weight for Content Liquid 8

A 7 s := 0.284 b Unit Weight for shell material 3

in 8

x g := 3.2510 psi Bulk Modulus of Fluid,3.25x10"5 psi for water 1

Eb := 2910 psi Young's Moduluis for Bolt Material 6

EPA := 0.8 g (This is the PGA of the soil outcrop response spectrum)

Comoute averaae shell thickness, and total shell helaht i := 1.. nrings H,:={Hr; II, = 2& A i

Et.Hr wi i I

1 3 :=

t, = 0.25 in g

Define Dimensionless Parameters from Refs. 2 and 4:

Obtain Cwl from Reference 2 Table 7.4:

b = 8.681 10 H

~d Parameters needed for table 7.4

= 0.8333 R

R Read-off value for Cwi:

C wg := 0.074 CST 2.MCD 5

2:50 PM i

.:.- _..._ a 4 I4/W h -3 Tank Weicht and C.G. Components:

Note that the distance to the component C.G. is measured from the bottom of the tank.

(Shell)

(Bottom Plate)

'j := 1..nrings b := (n R ).t b'T s 2

W W; := 2 n R y, Hr; t; Wb = 18.5 kip -

W:={W; 3

i tb X

W = 30.8 kip b2 s

lir cg :=

Ifr;-(isj)-

Xb =0.0104 A j

1

{W; cg; X, :=

W, X, = 10 R (Domo)

(Liquid) 2 2

Wh := n R R + hdtd7s W,:=n R,g Tl Wh = 19 kip W = 2.258 10 kip 3

w h

h := H, + d H

X X

3 w := 2 Xh = 21.8667. A X, = 10 A Fluid Hydrostatic Pressure:

Pst

  • 71 H Maximum fluid pressure occurs at base of tank Pst = 8.67 psi l

CST 2.MCD 6

2:50 PM C

}

M[Y1-A-4 Compute Horizontallmouisive Mode Response:

Impulsive Mode Frequency:

C gg := C wy-C Li = 0.074 (Reference 1, equation H-2) 71 CLI E,g f :=

t 2nH 5 (y,)

f = 9.74 hz g

Read the spectral acceleration at this frequency from the soil outcrop response spectra, damping for the impulsive mode maybe taken as about 5%

S g := 1.25 g Compute Weight of fluid effective in the impulsive Mode, and its corresponding C.G.:

tanh 1.732 b W; :=if Es,

3

(

H' 1.0 - 0.436 E W (Ref. 3, Eqn. C3500-1,-2,-3,-4) w R2 1.7323 H

H X ; := if E 5,0.375,0.5 -. 0.188 b H (Ref. 3, Eqn. C3500-1,-2,-3,4) 3 (R 2 Hj 8

Wj = 1.053 10 kip X ; = 7.5 ft Compute Impulsive Mode Base Shear and Overturning Moment:

O(W+W,+W;)

(Ref.1, Eqn. H-3)

V :=

g h

B S

M g := ah (W X h+ W X,+ W; X ;),

(Ref.1, Eqn. H-4) h s

8 3

V = 1.37910 kip g

4 M g = 1.07810 kip ft Estimate hydrodynamic fluid pressure on the tank at the bottom plate S

W;X g

(Ref.1, egn. H 8; Note this is conservative at E

Pg:=

fluid depths less than about 0.15*H) 2 1.36 R H P; = 5.251 psi CST 2.MCD 7

2:50 PM

d[4L A-5 Compute Horizontal Convective fSloshinal Mode Response:

Convective Mode frequency 1

~ f ]B \\

^

H(

(Ref.1, egn. H-10) r f :=

)

tanh 1.835 e

.{

R

(

Rj, f = 0.24 hz c

Use site specific response spectrum to find the Spectral Acceleration at this frequency, damping for the convective mode response is primarily fluid controlled and is estimated to be about 0.5%.

Soc := 0.3.g (conservatively assumed)

Compute Weight of Fwid acting in the convective mode and its C.G. location 0.46 R; tarly/1.835 H '-W (Ref.1. eqn. H-13) 1 I

Wc :=

w H 3

\\

Rj, cosh !.835-

- 1.0 Xe := 1.0-(

R' H

(Ref.1, eqn. H-1,4) fH f

I 1.835 i sinh 1.835 H iR

(

Rj, 3

W = 1.1348 l'0 kip c

X = ll.58 A c

Compute Convective Mode Base Shear and Overturning Moment:

S Ve := 3.W (Ref.1, eqn. H-13) c 8

)

S* W X M c :=

(Ref.1, egn. H-14)

- c e 8

V = 340.4 kip c

M = 3.942 103 *R kip e

Compute Hydrodynamic Convective Pressure at fluid depth "y" y :=H (This maximizes the hydrodynamic convei9.ive c shi 1.835-}{_ y) pressure.)

f 0.267 W S w ac I

Pc :=

(Ref.1, egn. H 16) gRH cogl.835" t

t Rj P = 1.0834 psi c

Compute the fundamental mode fluid slosh height S*

h, := 0.837 R.

h, = 6.026 n (Ref.1, eqn. H-17) 8 CST 2.MCD 8

2:50 PM

i p.

2A/41-A-t l

, Compute Vertical Fluid Mode Response:

Compute the vertical fluid mode fundamental frequency 4

f 2

71 f 2R 1 i f := 1 -

y

+-

f = 11.86 hz (Ref. 3, egn. C3500-13) y 4H g

t, E, rgj' I

Compute the hydrodynamic verticaliluid response mode pressure, based on a tank on a rigid foundation, note this pressure is also at y=H, which maximizes p.

Say := 1.25 g (read off the soil outcrop response spectra)

"E

" N~ h Py := 0.8 y g H-cos P =8.6667 psi y

g 2 i H/

Combine Individual Mode Responses to act Total Seismic Demand:

Base Shear:

Overtuming Moment I

V tot Y I+Vc) 2 2

M tot := Mg+Mc) 2 3

Vtot = 1.42 10 kip Mtot = 1.14810' kip ft Fluid Pressures:

2 Psh := P j + p Total Horizontal Seismic Response c

Pcmax := Pst + Psh + 0.4 P Maximum and minimum compression zone pressures at the time of y

p

,p ph-0.4P maximum base moment. (Ref.1, egn. H-22) s y

Ptmin : Pst - Psh - 0.4 P.y Maximum and minimum tension zone fluid pressure at the time of Ptmax :: Pst - Psh + 0.4 P mv) mum base moment (Ref.1, egn. H-23) y Payg := Pst - 0.4 P Minimum average fluid pressure on the base plate y

at the time of maximum base shear (Ref.1. eqn H-14)

P

= 17.5 psi

.Ptmin =-0.16 psi cma Pcmin = 10.56 psi Ptmax = 6.77 psi P,yg = 5.2 psi Expected minimum total effect weight of the tank shell acting on the base at the time of the maximum moment and base shear:

f I

te := (Wh + W,) : 1 - 0.4 2 EPA (Ref.1, eqn. H-26)

W t

3 gj l

[

Wte = 39.2 kip Wh = 19 kip W, = 30.8 kip j

l CST 2.MCD 9

2:50 PM

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TMI consdensate water tank Overturning Moment Capacity 03-20-98 11:45:45 l

@ You are now executing program l

TANKER

@ A program to estimate the seismic @

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TMI consdensate water tank Overturning Moment Capacity 03-20-98 11:45:45 e.... ee..........eeeeee**o**ee.....eeeeeee...eeeeees eeeeeeeeeeeeeeeee.. eeeeeeees.

eeeeeeeeeee.....eeeeeeeeee.*********eeeeeeee.

TANK D AT A RADIUS

= 2.8800E+02 SHELL THICKNESS

= 2.5000E-01 BOTI'OM PLATE THICKNESS = 2.5000E-01 SHELL YOUNG'S MODULUS = 2.9000E+07 ANCHORAGE D ATA NUMBEROF ANCHORBOLTS 16

=

ANCHOR BOLT DIAMETER

= 1.5000E+00 EXPOSED LENGTH OF BOLT =1.2000E+01 TOTAL LENGTH OF BOLT

= 3.0000E+01 BOLT YOUNG'S MODULUS

= 2.9000E+07 PREC ALCUL ATED D AT A EFFECTIVE FLUID WEIGHT = 1.0780E+01 TANK SHELL CRITICAL STRESS = 8.8000E+03 LIMIT ON BOLT CAPACITY. = 7.9520E+04 NET VERTICAL BASE REACTION =.3.9000E+04 ITERATION PARAMETERS MAXIMUM # OFITERATIONS = 200 CONVERGENCE TOLERANCE = 1.00 l

l 2MV'A

$-4 l

TM1 consdensate water tank Overturning Moment Capacity 03-20-98 11:45:45

.................................................................................+...

INTERMED1 ATE RESULTS ITER # NEUTRAL AXIS PS PB PL PSdhi XNORM 1

1.5708EMO -1.2672E+06 3.1272E+04 3.0741E+04 -1.2052E+06 -1.1662E+06 2

1.0472E+00 -8.6785E+05 1.2145 EMS 5.3030E+04 -6.9337E+05 -6.5437E+05 3

7.2273E-01 -6.0515E+05 3.1345 EMS 7.4452E404 -2.1725E405 -l.7825E+05 4

5.0536E-01 -4.2509E+05 6.7398E+05 9.6672E+04 3.4556E+05 3.8456E405 5

6.2237E-01 -5.2234 EMS 4.4489E+05 8.3507E+04 6.0601E+03 4.5060B+04 6

6.7413E-01 -5.6512 EMS 3.6978E+05 7.8632E+04 -1.1671E+05 -7.7709E%4 7

6.4869E-01 -5.4411E+05 4.0445E+05 8.0968E+04 -5.8699E+04 -1.9699E+04 8

6.3565E-01 -5.3333E+05 4.2386E+05 - 8.2210E+04 -2.7258E+04 1.1742E+04 9

6.4220E 01 -5.3874E405 4.1396E+05 - 8.1582E+04 -4.3200E+04 -4.2000E+03 10 6.3893E-01 -5.3604E+05 4.1886E+05 8.1894EM4 -3.5286E+04 3.7143E403 11-6.4057E-01 -5.3739E+05 4.1640E+05 8.1738E+04 -3.9257E+04 -2.5691E402 12 6.3975E-01 -5.3672E495 4.1763 EMS 8.1816E+04 -3.7275E+04 1.7253E+03 13 6.4016E-01 -5.3706E405 4.1701E+05 8.1777E+04 -3.8267E+04 7.3338E+02 14 6.4036E-01 -5.3723E+05 4.1671E+05 8.1757E+04 -3.8762E+04 2.3798E+02 15 6.4046E-01 -5.3731E+05 4.1655E405 8.1748EM4 -3.9010E+04 -9.6094E+00 16 6.4041E-01 -5.3727E+05 4.1663E+05 8.1753E+04 -3.8886E+04 1.1441E+02 17 6.4044E-01 -5.3729E+05 4,1659 EMS 8.1750E+04 -3.8947E+04 5.2508E+01 18 6.4045E-01 -5.3730E+05 4.1657E405 8.1749E+04 -3.8979E+04 2.1406E+01 19 6.4046E-01 -5.3730E+05 4.1656E+05 8.1748E+04 -3.8994E+04 5.8516E+00 20 6.4046E-01 -5.3731E+05 4.1656E405 8.1748E%4 -3.9002E+04 -1.7656E+00 21 6.4046E-01 -5.3731 EMS 4.1656E+05 8.1748E+04 -3.8998E+04 2.3047E+00 22 6.4046E-01 -5.3731E+05 4.1656E+05 8.1748E+04 -3.9000E+04 1.0938E-01 l

l l

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t e...e.......e....e.......ee....ee................eeee.....e............e.....

I TMI consdensate water tank Overturning Moment Capacity 03-20-98 11:45:45 RESULTS OF AN ALYSIS i

i (1) NEUTRAL AXIS LOCATION:

DEGREES RADIANS 36.6956 6.4046E-01 (2) TENSILE FORCES IN ANCHOR BOLTS:

i BOLT # REF. ANGLE (DEGREES)

FORCE 1

180.0000 5.6555EM4 2

157.5000 5.4166E+04 3

135.0000 4.7362E+04 5

90 00 2.5167E+01 6

67.5000 1.3156E+04 7

45.0000 2.9729E+03 i

(3)DIRECTFORCES ATTANKBASE:

LONGITUDINAL FORCE IN SHELL

= -5.3731E+05 SUM OF ANCHOR BOLT FORCES

= 4.1656E+05 BOTTOM PLATE HOLDOWN FORCE

= 8.1748E+04 TOTAL = -3.9000E+04 (4) RESTORING MOMENT:

FROM LONGITUDINAL FORCES IN SHELL= 1.4854E+08 FROM ANCilOR BOLTS TENSILE FORCES = 6.8487E+07 FROM BOTTOM PLATE HOLDOWN FORCE = 8.4573E+06

'IOTAL = 2 2548E+08 ( ih # )

if790 a

l l

2P/Y2.

S-5 l

j TMI consdensate water tank Overturning Moment Capacity 03-20-98 11:45:45 l

l l

l ADDITION AL RESULTS:

i MAXIMUM LENGTH OF UPLIFTED BOTTOM PLATE = 9.5591E+00 MAXIMUM UPLIFT DISPLACEMENT

= 3.3107E-02 MAXIMUM FIBRE STRESS IN BOTTOM PLATE = 1.5761EH)4 l

l 4

cet tq[ 7 g -

coe mcrWAf0NAL SHEET NO. b'7

~ ~ ~'

JOB NO N N #I JOB BY WNT DATElb3[i8

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CALC. NO.

SUBJECT CST CHK'D M DATE5/t)/18

( Ele (haJ FM Bac kIrna) 5'L d i B A M C*e a 1

]'Su -t (Giel3 6)

-e 4

ed Es PR l

g_

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=

Su=(8//s)lyoo

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=

C Es = 29 /toc.h y(ah) n.%.

s.

30 x t.1r

= 3 7 5~ des.'

e

=

(~ti f r.'

( f"v v*k y, A /wf~u

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=

2.FP + 17.T/3 6 0=

=

l.0 1,,

2.2 6 + l W =

/TIO V

< 0. 614 v 0.P3 4 x t.ol

.ff 30 (G /

=

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[QE INTERNATONAL D/G l

l SHEET NO.

h~8

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JOB NO. _Ih I7 #I JOB TMI-l IfEEE By NHT DATE @d3/48 CALC. NO.

SUBJECT CST CHK'D 9h DATE3 U[i8 l

i l

CST kekn 64 l

l' D?a w k = I C "

I h

= 3f NS' g

i Yec% f4

36/I.17

VT AN 1

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SHEET NO. C 'I JOB NO. JUDi7.01~ JOB TMI - 1 I/Est-BY

/4ffT DATE gagg i CALC. NO.

SUBJECT

( Sg CHK'D DH DATE j

Apfubx c Ovirlaan. & quy ( -t r Skgu)

( f. C -1 1 hrs c- &)

(

l u_

m 71/91 C - 2.

l TMI consdensate water tank Overturning Moment Capacity 03-20-98 13:01:49 l

i l

1

@ You are now executing program l

TANKER j

@ A program to estimate the seismic @

j

@ capacityofverticalstoragetanks @

v l

l

j

.m.,

33ht C -3 TMI consdensate water tank Overturning Moment Capacity 03-20-98

)

13:01:49 I

j TANK D AT A RADIUS

= 2.8800E402 j

SHELL THICKNESS

= 2.5000E-01 BOTTOM PLATE THICKNESS = 2.5000E-01 SHELL YOUNG'S MODULUS = 2.9000E+07 1

ANCHOR AGE D AT A NUMBEROF ANCHORBOLTS 16

=

ANCHOR BOLT DIAMETER

= 1.5000E40 EXPOSED LENGTH OF BOLT = 1.2000E+01 TOTAL LENGTH OF BOLT

= 3.0000E+01 BOLT YOUNG'S MODULUS

= 2.9000E+07 PRECALCUL ATED D ATA EFFECTIVE FLUID WElGHT = 1.0780EMI TANK SHELL CRITICAL STRESS = 7.3200E4'03 LIMIT ON BOLT CAPACITY = 7.9520EW4 NET VERTICAL BASE REACTION = -3.9000E44 ITERATION PARAMETERS MAXIMUM # OFITERATIONS = 200 l

CONVERGENCE TOLERANCE = 1.00 l

I l

l t

]

M[W-d-4 TMI consdensate water tank Overturning Moment Capacity 03-20-98 13:01:49

...............................................u.....................................

..............................(.<............

INTERMEDI ATE RESULTS i

ITER # NEUTRAL AXIS PS PB PL PSUM XNORM 1

1.5708E+00 -1.0541E+06 2.6012E+04 2.9358E+04 -9.9871E+05 -9.5971E+05 2

1.0472E+00 -7.2189E+05 1.0102E+05 5.0644E+04 -5.7023E+05 -5.3123E+05 3

7.2273E-01 -5.0337BM5 2.6073E+05 7.1102E+04 -1.7154E+05 :.l.3254E+05 4

5.0536E-01 -3.5360E+05 5.8873E+05 9.2323E+04 3.2745E+05 3.6645 EMS 5

6.2237E-01 -4.3449E+05 3.7007E+05 7.9750E+04 1.5328E+04 5.4328E@4 6

6.7413E-01 -4.7008EM5 3.0159E+05 7.5094E+04 -8.7394E+04 -4.8394E+04 7

6.4869E-01 -4.5260E+05 3.3643E+05 7.7325E+04 -3.8852E+04 1.4783E+02 8

6.6151E-01 -4.6142Eq5 3.2147E+05 7.6187E+04 -6.3755E+04 -2.4755E+04 9

6.5513E-01 -4.5703E+05 3.2881E+05 7.6750E+04 -5.1469E+04 -1.2469EM4 10 6.5192E-01 -4.5482E+05 3.3258E+05 7.7036E+04 -4.5204E+04 -6.2037E+03 11 6.5031E-01 -4.5371E+05 3.3449Eq5 7.7180E+04 -4.2039E+04 -3.0389E+03 12 6.4950E-01 -4.5316E%5 3.3546E+05 7.7253E404 -4.0448E+04 -1.4480E+03 13 6.4910E-01 -4.5288E+05 3.3594E+05 7.7289E+04 -3.9651E+04 -6.5095E+02 14 6.4889E-01 -4.5274E+05 3.361EE+05 7.7307E@4 -3.9252E@4 -2.5177E+02 15 6.4879E-01 -4.5267E%5 3.3630 EMS 7.7316E+04 -3.9052E+04 -5.2039E+01 16 6.4874E-01 -4.5264 EMS 3.3636E+05 7.7321E+04 -3.8952EM4 4.7898E+01 17 6.4877E-01 -4.5265E+05 3.3633E+05 7.7318E+04 -3.9002E+04 -2.0469E+00

{

18 6.4875E-01 -4.5265E+05 3.3635E+05 7.7319E+04 -3.8977E+04 2.2906EMI 19 6.4876E-01 -4.5265E+05 3.3634E+05 7.7319E+04 -3.8990E+04 1.0273EMI 20 6.4876E-01 -4.5265E+05 3.3634E+05 7.7319E+04 -3.8996E+04 4.1484E+00 21 6.4877E-01 -4.5265E+05 3.3634EM5 7.7318E+04 -3.8999E+04 8.8281E-01

\\

1 l

l.

c I

ar/o

(-[

TMI consdensate water tank Ove turning Moment Capacity 03-20-98 13:01:49 RESULTS OF AN ALYSIS (1) NEUTRAL AXIS LOCATION:

DEGREES RADIANS 37.1715 6.4877E-01 (2) TENSILE FORCES IN AhCHOR BOLTS:

BOLT # REF. ANGLE (DEGREES)

FORCE I

180.0000 4.5761E+04 2

157.5000 4.3822EH)4 3

135.0000 3.8301E+04 4

112.5000 3.0039E+04 5

90.0000 2.0293E+04 6

67.5000 1.0547E+04 7

45.0000 2.2550EM3 (3) DIRECT FORCES AT TANK BASE:

LONGITUDINAL FORCEIN SHELL

= -4.5265E%S SUM OF ANCllOR BOLT FORCES

= 3.3634E+05 BOTTOM PIATE HOLDOWN FORCE

= 7.7318E+04 i

TOTAL = -3.8999E+04 l

(4) RESTORING MOMENT:

i FROM LONGITUDINAL FORCES IN SHELL= 1.2500E+08 FROM ANCHOR BOLTS TENSILE FORCES = 5.5465E+07 FROM BC7 TOM PLATE HOLDOWN FORCE = 8.0604E+06 TOTAL = 1.8853EM8 l

r.

l I-l J$/VL e

c-6

....................s........................

TMI consdensate water tank Overturning Moment Capacity 03-20-98 13:01:49 l

ADDITION AL RESULTS:

MAXIMUM LENGTH OF UPLIITED BOTTOM PLATE = 9.0662E+00 1

MAXIMUM UPLIFT DISPLACEMENT

= 2.6788E-02 I

MAXIMUM FIBRE STRESS IN BOTTOM PLATE = 1.4177E404 l

l 1

l l

l l

l

ESE toe namnwn (j

37/vt l

l SHEET NO. /'I

  • ~ * ' ' ' -

JOB NO. D39 97,07 JOB D I~

Nbb BY (M T DATE 3N 42 CALC. NO.

SUBJECT C5T CHK'D DATE 4

l i

eK Q Ovtr&ynk

%Q [a 54

(-\\ ( hugh j,)

fffn

(

cf.

o-t th<u 0-C)

I

- 3f/42 p-2.

TMI consdensate water tank Overturning Moment Capacity 03-20-98 13:06:15

..ee...................................e........e....................................

@ You are now executing program TANKER

@ A program to estimate the seismic @

@ capacityofverticalstoragetanks @

OC 9

O v

I

M/y2.

0-3 TMI consdensate water tank Overturning Moment Capacity 03 20 98 13:06:15 l

T ANK D ATA RADIUS

= 2.8800E+02 SHELL THICKNESS

= 2.5000E.01 BOTTOM PLATE THICKNESS = 2.5000E-01 SHELL YOUNG'S MODULUS = 2.9000E+07 l

ANCHORAGE D ATA NUMBER OF ANCHOR BOLTS 16

=

ANCHORBOLT DIAMETER

= 1.5000E+00 i

EXPOSED LENGTH OF BOLT = 1.2000E+01 TOTAL LENGTH OF BOLT

= 3.0000E+01 1

BOLT YOUNG'S MODULUS

= 2.9000E407 PREC ALCUL ATED D AT A EFFECTIVE FLUID WEIGHT = 1.0780E+01 TANK SHELL CRITICAL STRESS = 7.2300E403 LIMIT ON BOLT CAPACITY = 7.9520E+04 NET VERTICAL BASE REACTION =.3.9000E+04 i

ITER ATION PARAMETERS MAXIMUM # OFITERATIONS = 200 l

CONVERGENCE TOLERANCE = 1.00 l

kV' Q-4 eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee TMI consdensate water tank Ovenurning Moment Capacity 03-20-98 13:06:15 eeeeesseseeseeeeeeeeeeeeeeeeeeeeeeee...eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeees eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee INTERMEDI ATE RESULTS ITER # NEUTRAL AXIS PS PB PL PSUM XNORM 1

1.5708E+00 -1.0411E+06 2.5693E+04 2.9267EM4 -9.8616E405 -9.4716E+05 2

1.0472E+00 -7.1301E+05 9.9779E+04 5.0488EH)4 -5.6275E+05 -5.2375E+05 3

7.2273E-01 -4.9719E+05 2.5753E+05 7.0882E+04 -1.6878E+05 '-1.2978 EMS 4

5.0536E-01 -3.4925E+05 5.8149EH)5 9.2038E+04 3.2428E+05 3.6328E+05 5

6.7137E-01 -4.2915E+05 3.6552E+05 7.9503E+04 1.5874E+04 5.4874E+04 6

6.7413E-01 -4.6430E+05 3.0381E+05 7.4862E+04 -8.5628E+04 -4.6628E+04 7

6.4869E-01 -4.4704E+05 3.3229E+05 7.7086E+04 -3.7663E+04 1.3375E+03 8

6.6151E-01 -4.5574E+05 3.1752E+05 7.5952E+04 -6.2269E+04 -2.3269EM4 9

6.5513E-01 -4.5141E+05 3.2477E+05 7.6513EM4 -5.0130E+04 -1.ll30E+04 10 6.5192E-01 -4.4923E+05 3.2849E+05 7.6798E+04 -4.3939E+04 -4.9385E%3 11 6.5031E-01 -4.4813EM5 3.3038E+05 7.6942E+04 -4.0811E+04 -1.8114E+03 12 6.4950E-91 -4.4759E+05 3.3133E+05 7.7014E+04 -3.9240E+04 -2.3954E+02 13 6.4910E-01 -4.4731E+05 3.3181E+05 7.7050E+04 -3.8452E+04 5.4813E+02 14 6.4930E-01 -4.4745EH)5 3.3157E+05 7.7032E+04 -3.8846E+04 1.5408E+02 15 6.4940E-01 -4.4752E+05 3.3145E+05 7.7023E+04 -3.9043E+04 4.2813E+01 16 6.4935E-01 -4.4748E+05 3.3151E+05 7.7028E+04 -3.8944E+04 5.5773E+01 17 6.4937E-01 -4.4750E+05 3.3148E+05 7.7025E+04 -3.8993E+04 6.5234E+00 18 6.4939E-01 -4.4751E+05 3.3147E+05 7.7024E+04 3.9018E+04 -1.8133E+01 19 6.4938E-01 -4.4751E+05 3.3147E+05 7,7025E+04 -3.9006E+04 -5.9844E+00 20 6.4938E-01 -4.4750E+05 3.3148E+05 7.7025E404 -3.9000E+04 1.0938E-01 l

I

i' I

1 u//n 0-[

i l

...................e.........e...:.s..........

l TMI consdensate wate tank Overturning Moment Capacity 03 20-98 13:06:15 l

....................................................*4. ****.........................

RESULTS OF AN ALYSIS i

(1) NEUTRAL AX1S LOCAT10N:

DEGREES RADIANS 37.2065 6.4938E-01 j

i (2) TENSILE FORCES IN ANCHOR BOLTS:

BOLT # REF. ANGLE (DEGREES)

FORCE I

180.0000 4.5107E+04 2

157.5000 4.3195E+04 3

135.0000 3.7753E+04 4

112.5000 2.9607E+04 5

90.0000 1.9998E+04 6

67.5000 1.0389E+04 7

45.0000 2.2436E+03 (3) DIRECT FORCES AT TANK BASE:

LONGITUDINAL FORCEIN SHELL

= -4.4750E+05 SUM OF ANCHOR BOLT FORCES

= 3.3148E+05 BOTTOM PLATE HOLDOWN FORCE

= 7.7025E+04 TOTAL =.3.9000E+04 (4) RESTORING MOMENT:

(

FROM LONGITUDINAL FORCES IN SHELL= 1.2357E+08 j

FROM ANCHOR BOLTS TENSILE FORCES = 5.4676E+07 FROM BOTIDM PLATE HOLDOWN FORCE = 8.0343E+06 TOTAL = 1.8628E+08 j

l-41/VL p-6 1

TMI consdensate water tank Overturning Moment Capacity 03-20-98 13:06:15

..................... **............**.......****....+.+....***..********..********

ADDITION AL RESULTS:

MAXIMUM LENGTH OF UPLIFTED BOTTOM PLATE = 9.0336E+00 MAXIMUM UPLIFT DISPLACEMENT

= 2.6405E-02 MAXIMUM FIBRE STRESS IN BOTTOM PLATE = 1,4075E+04 l

.