100598433-Tank-Design

D E S I G N D A T A

Roof Type 1

Roof-to-Shell Joint Type 2

Fabrication 1

Purpose Recycle AA Tank

Density of Contents 1040

Specific Gravity of Contents G 1.04 -

Specific Gravity of Contents (For Appendix A Only) G' 1.04 -

Material 7 CS

Material Group Group IV

Minimum Yield Strength 240 MPa

Minimum Tensile Strength 450 MPa

Modulus of Elasticity E 195000 MPa

Maximum Design Temperature 150.0

Minimum Design Temperature N/A

Allowable Product Design Stress at Design Temperature 160 MPa

Allowable Hydrostatic Test Stress at Design Temperature 180 MPa

Internal Pressure 5.00

External Pressure 0.60

Smallest of the allowable tensile stresses (Roof, Shell, Ring) f 400

High Liquid Level 6.3 m

Bottom CA 3.0 mm

Shell CA 3.0 mm

Roof CA 3.0 mm

Structure CA 3.0 mm

Anchor Bolts CA 3.0 mm

Nozzles, etc. CA 3.0 mm

Roof Slope 2 : 10

Roof Angle θ 14.0 Deg.

Outside Dia. 4.512 m

Inside Dia. 4.500 m

Nominal Dia. ( Inside Dia. + Shell Thk. ) 4.506 m

Total Height H 6.30 m

Cone Roof Dish Radius 2.32 m

Dome Roof Dish Radius 3.60 m 1

Developed Area A' 16.43 1

Roof Height - Above Shell 0.56 m

Fluid Hold Down Weight 1022.252 kN

Yield Strength - Structural Parts 250 MPa

Density Den. 7850

Dc kg/m3

FYmin

FTmin

TmaxoC

TminoC

Sd

St

Pi kN/m2 ( kPa )

Pe kN/m2 ( kPa )

kN/m2 ( kPa )

H1

Do

Di

Dn

RCone

RDome

m2

FYstructure

kg/m3

DL Corroded Uncorroded

ROOF Plates 6.33 10.13 kN

Stiffeners 0.00 0.00 kN

Purlins 0.00 0.00 kN

Plateform 0.00 kN

Insulation 0.00 kN

Others 15.00 kN

∑ 6.33 25.13 kN

0.39 1.53 kN/m2 ( kPa )

SHELL Top Angle 0.49 1.01 kN

Course(s) 20.60 41.21 kN

Wind Girders 0.00 0.00 kN

Ladder 0.00 kN

Insulation 0.00 kN

Others 0.00 kN

∑ 21.10 42.22 kN

1.28 2.57

ALL 27.43 67.34 kN

1.67 4.10

Superimposed 1.5

Snow Load S 0

External Pressuer 0.60

Basic Wind Speed V 138 kph

RO

OF

COMB1 App. R 3.27

COMB2 App. R 2.73

COMB3 App. R 1.77

COMB4 App. R 2.13

Pr Max(COMB1:COMB4) App.V 3.27

Ps App. V 1.01

W App. V 0.77

Table 3-21a 36.10 kN



M A T E R I A L P R O P E R T I E S

PART Factor Factor E Factor E'

ROOF 240 1.00 240 450 1.00 450 195000 1.00 195000

SHELL 240 1.00 240 450 1.00 450 195000 1.00 195000

BOTTOM 240 1.00 240 450 1.00 450 195000 1.00 195000

STIFF. 250 1.00 250 400 1.00 400 195000 1.00 195000

ANCHOR 250 1.00 250 400 1.00 400 205000 1.00 205000

J O I N T E F F I C I E N C Y

Notation Normal Factor Modified Desc.

1.00 1.00 1.00 Btm Plate

1.00 1.00 1.00 Comp. Ring

2 0.70 1.00 0.70 Roof Plate

2 0.85 1.00 0.85 Shell Plate

3 0.70 1.00 0.70 Stiff. Splice

kN/m2 ( kPa )

kN/m2 ( kPa )

Lr kN/m2 ( kPa )

kN/m2 ( kPa )

Pe kN/m2 ( kPa )

DL + Lr + 0.4 x Pe kN/m2 ( kPa )

DL + 0.4 x Lr + Pe kN/m2 ( kPa )

DL + S + 0.4 x Pe kN/m2 ( kPa )

DL + 0.4 x S + Pe kN/m2 ( kPa )

kN/m2 ( kPa )

kN/m2 ( kPa )

kN/m2 ( kPa )

W1

W2

W3

FYmin FYmin' FTmin Ftmin'

JEb

JEc

JEr

JEs

JEst

A P P L I C A B L E A P P E N D I C E S

A 1 Optional Design Basis for Small Tanks

E 1 Seismic Design of Storage Tanks

F 1 Design of Tanks for Small Internal Pressures

J 2 Shop-Assembled Storage Tanks

M 1 Requirements for Tanks Operating at Elevated Temperatures

R 1 Load Combinations

S 2 Austenitic Stainless Steel Storage Tanks

V 1 Design of Storage Tanks for External Pressure

S H E L L D E S I G NC

ou

rse

#

Width

m m m mm mm mm mm mm mm mm

3.6.1.2 3.6.3.2 3.6.3.2 3.6.3.2 3.6.1.1 A.4.1 J.3.3 V.8.1.3

1 1.950 0.51 6.81 3.93 0.80 3.93 5 4.47 0.00 2.89

2 1.950 0.51 4.86 3.65 0.56 3.65 5 4.03 0.00 2.89

3 0.450 0.51 2.91 3.37 0.32 3.37 5 3.59 0.00 2.89

4 1.950 0.51 2.46 3.31 0.26 3.31 5 3.49 0.00 2.89

5 0.000 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0.00

6 0.000 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0.00

7 0.000 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0.00

8 0.000 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0.00

9 0.000 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0.00

10 0.000 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0.00

11 0.000 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0.00

12 0.000 0.00 0.00 0.00 0.00 0.00 0 0.00 0.00 0.00

6.300

= 6

S H E L L W E I G H T S U M M A R Y

Course # Thk. - CA

m kN kg mm kN kg

1 1.950 12.75 1300.16 3.0 6.38 650.08

2 1.950 12.75 1300.16 3.0 6.38 650.08

3 0.450 2.94 300.04 3.0 1.47 150.02

4 1.950 12.75 1300.16 3.0 6.38 650.08

5 0.000 0.00 0.00 0.0 0.00 0.00

6 0.000 0.00 0.00 0.0 0.00 0.00

7 0.000 0.00 0.00 0.0 0.00 0.00

8 0.000 0.00 0.00 0.0 0.00 0.00

9 0.000 0.00 0.00 0.0 0.00 0.00

10 0.000 0.00 0.00 0.0 0.00 0.00

11 0.000 0.00 0.00 0.0 0.00 0.00

12 0.000 0.00 0.00 0.0 0.00 0.00

6.300 41.21 4200.51 20.60 2100.26

A N N U L A R B O T T O M P L A T E D E S I G N

Press.Head

HL1' td tt Max( td,t t ) tsmin tsmin tsmin tsmin

ts1 (mm)

Width3.6.1.2

Shell Wt.(Uncorroded)

Shell Wt.(Corroded)

Use Annular Plate? 1

Lap welded bottom plates may be used in lieu of butt-welded annular bottom plates. (Group IV, IVA, V, or VI Only)

Use CA Use

mm mm mm mm mm mm mm mm

3.5.2 3.5.2 [3.5.3] T3-1 J.3.2.1 3.4.2

600 840 840 6 - 3.0 9.0 10

Wmin WCalc. tabp-min tabp-min tabp-req'd

B O T T O M P L A T E D E S I G N

CA Use Projection

mm mm mm mm mm mm

3.4.1 J.3.2.1 3.4.1 3.4.2

6 6 3.0 9.0 10 50

R O O F P L A T E D E S I G N

Cone 12.5 4.73 4.83 7.83 8

Dome - - - - 0

W E I G H T S U M M A R Y

Bottom Plt. Wt. Annular Plt. Wt. Shell Plt. Wt. Top Wind Girder Inter. Wind Girder(s)

kN kgs kN kgs kN kgs kN kgs kN kgs

8.16 831.34 4.65 474.28 41.21 4200.51 1.01 102.95

5.71 581.94 3.26 331.99 20.60 2100.26 0.50 50.47

T O P W I N D G I R D E R D E S I G N

ANGLE

Hz. Leg Vt. Leg Thk a - t b - t NA Dist. NA Dist. Area

mm mm mm mm mm

Uncorroded 49 80 80 6 74 74 57.78 22.22 924

Corroded 3 77 77 3 74.0 74 56.63 20.37 453

3.97 4.75

R O O F - T O - S H E L L J O I N T D E S I G N [ C H A P T E R 3 ]

Detail

mm mm mm mm m mm mm

d - 5 3.0 2250 9300.52 64.69 49.30 288.66 340.55 323.47

tbmin tbmin tb-req'd

tmax tmin tApp v tselec'd + CA tfurn'd

mm mm mm2

Zmin Zfurn'd

cm3 cm3

tb th - CA tc/ts Rc R2 Wh/Comp. Wc Areq'd min Areq'd F- 2 Aroof

mm2 mm2 mm2

R O O F - T O - S H E L L & B O T T O M - T O - S H E L L J O I N T D E S I G N

[ A P P E N D I X V ]

Detail

mm mm mm mm mm

a - 5 3.0 163.57 69.67 83.18 817.86 453.00

b - 5 3.0 163.57 69.67 83.18 817.86 453.00

c - 5 3.0 163.57 69.67 83.18 817.86 453.00

d - 5 3.0 163.57 69.67 83.18 817.86 453.00

e - 5 3.0 163.57 69.67 83.18 817.86 453.00

f - 5 3.0 163.57 69.67 83.18 817.86 453.00

g - 5 3.0 163.57 69.67 83.18 817.86 906.00

h 10 5 3.0 163.57 69.67 83.18 817.86 1120.00

i 10 5 3.0 163.57 69.67 83.18 - 696.75

k 10 5 10 163.57 69.67 83.18 817.86 1600.00

I N T E R M E D I A T E W I N D G I R D E R D E S I G N

RefKz Kzt Kd V I G q

- - - mph - - psf kPa

3.9.7.1 a 1.04 1 0.95 117 1 0.85 29 1.47

Client Info 1.04 1 0.95 117 1 0.85 29 1.47

Max. Height of Unstiffened Shell & transformed shell height

D V

mm m kph m m m

3.00 4.506 138 29.26 24.17 6.30 N/A

As Htr < H1 --- Intermediate Wind Girder is not required.

Verification of Unstiffened Shell ( As per Appendix V )

0.0396 ≥ 0.00675

Elastic Buckling Criteria Satisfied.

1.01 ≤ 1.11

Design external pressure for an unstiffened tank shell satisfied.

6 ≥ 2.89

Minimum shell thickness required for a specified external pressure satisfied.

Ps Ns + 1 Ns Use Ns Ls N

kPa m m Nos. Nos. Nos. m Nos.OK

Nos.

1.01 6.30 6.92 0.91 -0.09 -1 #DIV/0! 18.49 4.30

tb th tc/ts Xcone/dome Xshell Areq'd V.7.2.2 Aroof Astiff

mm2 mm2 mm2

ts1 H1 H1 - modified Htr Zreq'd

cm3

( D / tsmin )0.75 [ ( HTS / D ) ( FYmin / E )0.5 ] ≥ 0.00675

Ps ≤ E / ( 45609 ( HTS / D ) ( D / tsmin )0.5 )

tsmin ≥ ( 73.05 ( HTS Ps )0.4 D0.6 ) / ( E )0.4

HTS Hsafe N2 N2 < 100

Intermediate Stiffener Ring Design t 6 10

STIFF Q

mm N/m mm

1 6 #DIV/0! 98.54 #DIV/0! 11 295.61 #DIV/0! 755 #DIV/0!

2 6 #DIV/0! 98.54 #DIV/0! 11 295.61 #DIV/0! 755 #DIV/0!

3 6 #DIV/0! 98.54 #DIV/0! 11 295.61 #DIV/0! 755 #DIV/0!

4 6 #DIV/0! 98.54 #DIV/0! 11 295.61 #DIV/0! 755 #DIV/0!

5 6 #DIV/0! 98.54 #DIV/0! 11 295.61 #DIV/0! 755 #DIV/0!

6 6 #DIV/0! 98.54 #DIV/0! 11 295.61 #DIV/0! 755 #DIV/0!

7 0 - - - - - - - -

8 0 - - - - - - - -

9 0 - - - - - - - -

10 0 - - - - - - - -

mm N/m mm

TOP 6 1586.56 98.54 1.16 11 295.61 8.94 755 -741.24

BOTT 6 1586.56 98.54 1.16 11 295.61 8.94 755 -1288.73

S T R E N G T H O F S T I F F E N E R A T T A C H M E N T W E L D

V A C U U M C O N D I T I O N [ ASME Sec VIII, Div. 1 ]

E S Pe ρ

45120.70

144 0.60 7850 4.73 8 5.0 0.3842 -0.24

177.64 20885 0.09 0.28 0.19 0.31 0.20 0.06 -0.03

-0.09

O V E R T U R N I N G S T A B I L I T Y

BWS Pressure Proj. Area Force Arm Moment

kph kPa kN m kN - m

1380.45 28.39 12.88 3.15 40.57

0.76 1.27 0.96 2.25 2.17

tshell 2 x wshell Ireq'd Ifurn'd Ashell cont. Areq'd Afurn'd Astiff req'd

cm4 cm4 mm2 mm2 mm2 mm2

tshell Vl 2 x wshell Ireq'd Ifurn'd Ashell cont. Areq'd Afurn'd Astiff req'd

cm4 cm4 mm2 mm2 mm2 mm2

vs Vs1 Vs2 Ww wmin

Do tbtm (min) tfurn'd tfurn'd - CA Pbtm PResultant

kPa [Psi]

kPa [Psi]

W I

N D

M O

M E

N T

m2

FPi FDL FF XPi XDL XF MPi Mw MDL MF

kN kN kN m m m kN - m kN - m kN - m kN - m

79.52 27.14 227.34 2.25 2.25 2.25 179.16 42.73 61.15 512.19

Unanchored tanks conditions not satisfied - Anchorage is required.

D E S I G N T E N S I O N L O A D P E R A N C H O R

Mw d N W

kN - m m Nos. kN kN

42.73 4.724 8 -4.38 5.07 1.14

tB

S L I D I N G R E S I S T A N C E

BWS Pressure Proj. Area F - WIND ∑ F - WIND F - FRIC.

kph kPa kN kN kN

1380.454 28.426 12.896

13.86 14.56

0.760 1.267 0.963

F - FRIC. > F - WIND --- Tank is stable, anchorage is not required against sliding.

U P L I F T L O A D S C A S E S

UnitsD Mw Ms P Pf

SI 4.506 8 42735 37635 5.00 6.25 0 36097.98

US 14.78 0.31 31519.86 27758.40 20.09 25.12 0.00 8114.83

UPLIFT LOAD CASES FORMULAEU

lbs Psi

DESIGN PRESSURE 7556.81 15000

TEST PRESSURE 12036.47 20000

FAILURE PRESSURE 0.00 36000

WIND LOAD -1009.40 28800

SEISMIC LOAD -2027.10 28800

DESIGN PRESSURE + WIND 16084.81 20000

DESIGN PRESSURE + SEISMIC 15067.11 28800

A N C H O R C H A I R D E S I G N

Anchor Chair Design NOT Adequate.

Tank Outside Dia. Do 4512 mm

Bolt Circle Dia. ( BCD ) BCD 4912 mm

Basic Wind Speed BWS 138 kph 85.75

Earthquake (Y = Yes, N = No) 2

Design Load kN

Maximum Allowable Anchor-Bolt Load kN

1.5 x Actual bolt Load kN

P kN 16.08

Top-Plate Width ( along shell ) a 300 mm 11.81

Top-Plate Length ( radial direction ) b 200 mm 7.87

Top-Plate Thickness 16 mm 0.630

m2

th Pt W1

m [ ft ]

mm [ in. ]

N-m [ ft-lbs ]

N-m [ ft-lbs ]

kPa [in. of water ]

kPa [in. of water ]

kPa [in. of water ]

N [ lbs ]

Fall - Anchor

[ ( P - th ) 4.08 D2 ] - W1

[ ( Pt - 8 th ) 4.08 D2 ] - W2

[ ( 1.5 Pf - 8 th ) 4.08 D2 ] -W3

[ ( 4 Mw ) / D ] - W2

[ ( 4 Ms ) / D ] - W2

[ ( P - 8 th ) 4.08 D2 ] + [ ( 4 Mw ) / D ] - W1

[ ( P - 8 th ) 4.08 D2 ] + [ ( 4 Ms ) / D ] - W1

Pd

Pall.

Pact.

cused

Anchor-bolt Diameter d 50.8 mm 2.00

Anchor-bolt Eccentricity 200 mm 7.87

Distance from Outside of Top-Plate to edge of hole 50 mm 1.97

Distance between Vertical Plates 100 mm 3.94

Chair Height 310 mm 12.20

Vertical-Plate Thickness 16 mm 0.63

Bottom or Base Plate Thickness m 8 mm 0.31

Shell or Column Thickness t 6 mm 0.236

eused

fused

gused

hused

jused

Top-Plate Width ( along shell ) a 300 mm 11.81

Top-Plate Length ( radial direction ) b 200 mm 7.87

Top-Plate Thickness 9.17 mm 0.361

16.00 mm 0.630

Anchor-bolt Diameter d 50.8 mm 2.00

Anchor-bolt Eccentricity 200 mm 7.87

60 mm 2.344

Distance from Outside of Top-Plate to edge of hole 50 mm 1.97

29 mm 1.13

Distance between Vertical Plates 100 3.94

76 mm 3.00

Chair Height 310 mm 12.20

900 mm 35.43

152.4 mm 6.00

Vertical-Plate Thickness 16 mm 0.63

12.70 mm 0.50

Vertical-Plate Width ( average width for tapered plates ) k 125 mm 4.92

Column Length L mm

Bottom or Base Plate Thickness m 8 mm 0.31

Load P kN 16.08

Least Radius of Gyration r mm

Nominal Shell Radius R 2256 mm 177.6

Stress at Point kPa 42.96

Stress at Point kPa 25.00

Shell or Column Thickness t 6 mm 0.236

Cone Angle ( measured from axis of cone ) θ deg.

Reduction for Factor Z - 0.847

Check to limit slenderness upto 86.6 jK 3.100

Weld Size 6 mm 0.236

Vertical Load 0.444

Horizontal Load 0.520

Total Load on Weld W 0.684

For an allowable stress of 13.6 ksi on a fillet weld, the allowable load per lin in. is 9.62 kips per lin in. of weld size.

For weld size of 0.24 in. the allowable load therefore is 2.27 kips.

Gusset Plate - Shell Weld 1 8.347

Top Plate 1 5.385

P R O B L E M S T A T I S T I C S

A N C H O R C H A I R D E S I G N C A L C U L A T I O N S( A I S I - E - 1 , V O L U M E II, P A R T V I I )

cmin

cused

eused

emin

fused

fmin

gused

gmin

hused

hmax

hmin

jused

jmin

Sinduced

Sallowable

wmin

WV

WH

L I V E L O A D T R A N S F E R R E D T O F O U N D A T I O N

Live Load on roof 1.5

Area of Roof 16.4

Total Live Load 24.7

Circumference of Tank C 14.2

Live Load transferred to Foundation 1.74

D E A D L O A D T R A N S F E R R E D T O F O U N D A T I O N

Self Weight of Roof 25.1

Self Weight of Bottom Plate 12.8

Self Weight of Shell 41.2

Self Weight of shell & Attachmnets 1.0

Total Dead Load acting on shell 67.3

Dead Load Transferred to Foundation 4.75

Lr

Ar

WL

wL

Wr

Wb

Ws

Wa

WD

wD

O P E R A T I N G & H Y D R O S T A T I C T E S T L O A D S

Self Weight of Tank W 80.1

Weight of Fluid in Tank at Operating Conditions 1022.3

Weight of Water in Tank at Hydrotest Conditions 982.9

Uniform Load Operating Condition 69.1

Uniform Load Hydrotest Condition 66.7

W I N D L O A D T R A N S F E R R E D T O F O U N D A T I O N

Base Shear due to wind load 13.6

Reaction due to wind load 3.0

Moment due to wind load 42.7

S U M M A R Y O F F O U N D A T I O N L O A D I N G D A T A

Dead load, shell, roof & ext. structure loads 4.75

Live Load 1.74

Uniform load, operating condition 69.13

Uniform load, hydrotest load 66.66

Base shear due to wind 13.57

Reaction due to wind 3.01

Moment due to wind load 42.73

Consider 15-20 % variation in weight while designing the foundation.

C E N T R E O F G R A V I T Y

E M P T Y C O N D I T I O N

Base Plate Thickness 0.008

Height of Shell 6.70

Height of Roof 0.610

0.0040

3.36

6.91

Weight of Bottom Plate 1583

Weight of Shell 5522

Weight of Roof 1970

Total Empty Weight of Tank 9075

C.O.G. in Empty Condition C.O.G. 3.544

F U L L O F W A T E R C O N D I T I O N

Weight of Water 100197

Weight of Shell + Weight of Water 105719

Weight of Tank (Full of Water) 109272

Wf

Ww

Wo

Wh

Fw

Rw

Mw

DL

LL

Wo

Wh

Fw

Rw

Mw

h1

h2

h3

a1 = h1 / 2 a1

a2 = h2 / 2 +h1 a2

a3 = h3 / 3 + h1 + h2 a3

w1

w2

w3

WE

W6

WF

C.O.G. in Full of Water Condition C.O.G. 3.388


Design Liquid Level 6.30

3.16

Weight of Liquid 104762

Weight of Liquid + Contributing Weight of Shell 109954

Weight of Shell Without Liquid 329.67

Height of Remaining Shell Center From Base 7.11

Operating Weight 113837

C.O.G in Operating Condition C.O.G. 3.191

a4

a4 = (Liquid Level / 2) + h1 WL

w4

a5

WO

S E I S M I C D E S I G N [ A P P E N D I X E ]

Aspact Ratio D/H

Inverse Aspact Ratio H/D

Seismic Use Group SUG

Importance Factor I

Site Class SC

Anchorage Condition

Vertical Acceleration

MCE Ground Motion Definitions

So = 0.4Ss 0.112

0 Ss

0 S1

2.4 So

0.760

Fa

Fv

Q

S T R U C T U R A L P E R I O D O F V I B R A T I O N S

I m p u l s I v e N a t u r a l P e r I o d & C o n v e c t I v e ( S l o s h I n g ) P e r I o d

Ci H tu D p E Ti Ks

- m mm m Mpa seconds -

6.4 6.30 6 4.51 1040 195000 1.80 0.58

S P E C T R A L A C C E L E R A T I O N P A R A M E T E R

I m p u l s I v e S p e c t r a l A c c . P a r a m e t e r

So I Fa Rwi Q

%g %g %g - - -

0.112 0 0.30 1.25 1.6 4 0.67

Ai

C o n v e c t I v e S p e c t r a l A c c . P a r a m e t e r

SP

Ss = 2.5SP

S1 = 1.25SP

Ss = 1.5Fa

S1 = 0.6Fv/T SP

SDS

kg / m3

SP SDS

K454

odpk-smalvi: Peak ground acceleration

K455

odpk-smalvi: Mapped, maximum considered earthquake, 5-percent-damped, spectral response acceleration parameter at short period ( 0.2 seconds ), Ss

K456

odpk-smalvi: Mapped, maximum considered earthquake, 5-percent-damped, spectral response acceleration parameter at a period of 1 second, S1

K457

odpk-smalvi: Mapped, maximum considered earthquake, 5-percent-damped, spectral response acceleration parameter at zero seconds, So.

K458


S1 Ss So K I Fa Fv Tc

%g %g %g %g %g - - - - seconds

1.40 0.28 0.112 0 0 1.5 1.25 1.6 2.4 2.21

Ac N/A

Ac = 2.5 Q Fa So ( Ts / Tc ) ( I / Rwc ) Ac 0.63421

SD1 SP

TC < TL

Ac = KSD1 ( I / Tc ) ( I / Rwc )

Ac N/A

Ac 1.14864

Ac 0.08596

SEISMIC DESIGN FACTORS

DESIGN FORCES

Equivalent lateral seismic design force F = A . Weff

lateral acceleration coefficient A ( %g )

Effective Weight contributing to seismic response Weff

D E S I G N L O A D S


Ws Wr Wf Wi Wc Ai Ac

N N N N N N %g %g

89100 18950 15530 1383984 269710 1639640 0.0934 0.0860

E F F E C T I V E W E I G H T O F P R O D U C T

E f f e c t i v e I m p u l s I v e W e i g h t & E f f e c t I v e C o n v e c t i v e W e i g h t

D H D/H Wi Wc

m m - N N N

4.51 6.30 0.72 1639640 1383984 269710

V E R T I C A L S E I S M I C E F F E C T S

Av Wi Wc Weff Fv

%g N N N N

0.299 0.04183424 1383984 269710 1410020 58987

O V E R T U R N I N G M O M E N T

R I n g w a l l M o m e n t

Ai Wi Xi Ws Xs Wr Xr Ac

- N m N m N m -

0.09338 1383984.21 2.73 89100 3.15 18950 0.2384 0.08596

S l a b M o m e n t

TC > TL

Ac = KSD1 ( TL / Tc2 ) ( I / Rwc )

Ac = 2.5 Q Fa So ( ( Ts TL / Tc2 ) ( I / Rwc )

WP

WP

SDS

Ai Wi Xis Ws Xs Wr Xr Ac

- N m N m N m -

0.0934 1383984.21 5.85 89100.00 3.15 18950.00 0.2384 0.0860

A N C H O R A G E

R e s I s t a n c e t o t h e d e s I g n o v e r t u r n I n g m o m e n t a t t h e b a s e o f s h e l l

ta S Mrw Ws Wss Wr Wrs

mm N %g N-m N N/m N N/m

7.0 0 0.04183424 402509 55322 3908 18953 1339

27250 ≤ 37

Av

A N N U L A R P L A T E R E Q U I R E M E N T S


Thickness of the tank floor plate provided under the shell may be greater than or equal to the thickness of the general

tank floor plate ( i.e., ta > tb ) with the following restrictions:

less Corrosion Allowance ts - CA 3.00 mm

Actual Thk. Btm Plt. 7.00 mm

Tank Self Anchored?

a ) The resisting force is adequate for tank stability ( i.e. the anchorage ratio, J > 1.54 )

b ) The maximum width of annulus for determining the resisting force is 3.5% of the tank diameter.

c ) The shell compression satisfies E.6.2.2

d ) The req'd annular plate thickness does not exceed the thickness of the btm shell course.

e ) Piping flexibility requirements are satisfied.

Shell Compression in Self-Anchored Tanks

Max. longitudinal shell compression stress at the bottom of the shell when there is no calculated uplift, J > 0.785, σc

wt 5247 N/m

Av 0.04183424 %g

Mrw 402509 N-m

D 4.506 m

ts 3.00 mm

wa 27250 N/m

J 0.61 - J < 0.785

10.190 MPa J > 0.785

Shell Compression in Mechanically-Anchored Tanks

wt 5247 N/m

Av 0.0418 %g

Mrw 402509 N-m

D 4.506 m

ts 3.00 mm

tb

Max. longitudinal shell compression stress at the bottom of the shell when there is no calculated uplift, J < 0.785, σc

σc = ( wt ( 1 + 0.4 Av ) + ( 1.273 Mrw / D2 ) ) ( 1 / ( 1000 ts ) )

σc = ( ( ( wt (1 + 0.4 Av ) + wa ) / ( 0.607 -0.18667 J2.3 ) ) - wa ) ( 1 / ( 1000 ts ) )

σc


σc = ( wt ( 1 + 0.4 Av ) + ( 1.273 Mrw / D2 ) ) ( 1 / ( 1000 ts ) )

10.190 MPa

Allowable Longitudinal Membrane Compression Stress in Tank Shell

G 1.04 -

H 6.30 m

D 4.506 m

ts 3.00 mm Thickness of the shell ring under consideration, mm.

14.78 Allowable longitudinal shell membrane compression stress, MPa.

Fc 8.17 MPa

Fc = 55.26 MPa Fc = 83 ts / D

Fc = 8.17 MPa Fc = 83 ts / ( ( 2.5 D ) + 7.5 SQRT ( G H ) )

G H < 0.5 Fty 28.39 120 Satisfied

σc

G H D2 / t2

G H D2 / t2 ≥ 44

G H D2 / t2 < 44

DYNAMIC LIQUID HOOP FORCES

When D / H is greater than or equal to 1.333

D H D / H 0.866 ( D / H ) TANH 4 Y Y / H 0.5 ( Y / H ) Ai G

4.51 6.30 0.72 0.6194 0.5507 6.30 1.000 0.500 0.0934 1.04

When D / H is less than 1.333 and Y is less than 0.75 D

D Y Y / D Ai G Ni

4.51 4.00 0.89 0.0934 1.04 4.97

When D / H is less than 1.333 and Y is greater than or equal to 0.75 D

D Ai G Ni

4.51 0.0934 1.04 5.13

For Convective

Nc = 1.85 Ac G D2 COSH ( 3.68 ( H - Y ) / D ) / COSH (3.68 H / D )

D H Y 3.68 ( H - Y ) / D3.68 ( H / D ) COSH 4 COSH 5 Ac G Nc

0.00 0.00 6.70 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.0860 0.00 #DIV/0!

When purchaser specifies that vertical acceleration need not be considered (i.e. Av = 0), the combined hoop

stress shall be defined by Equation E-22. The dynamic hoop tensile stress shall be directly combined with the

product hydrostatic design stress in determining the total stress.

When vertical acceleration not specified

t

When vertical acceleration specified

Ni = 8.48 Ai G D H ( ( Y / H ) - 0.5 ( Y / H )2 ) TANH ( 0.866 D / H )

Ni = 5.22 Ai G D2 ( ( Y / ( 0.75 D ) ) - 0.5 ( Y / ( 0.75 D ))2 )

Ni = 2.6 Ai G D2

σT = σh ± σs = ( Nh ± SQRT ( Ni2 + Nc

2 ) ) / t

σh σs Nh Ni Nc σT

σT = σh ± σs = ( Nh ± ( SQRT ( Ni2 + Nc

2 + ( Ac Nh )2 ) ) ) / t

tσh σs Nh Ni Nc Av σT

R E F E R E N C E

Appendix J applicable.

Appendix S not applicable.

Table 3-2

Appendix M applicable.

API 650, Sec. 3, Cl. 3.6.2.1 ~ Table 3-2

API 650, Sec. 3, Cl. 3.6.2.2 ~ Table 3-2

Appendix F applicable.

Appendix V applicable.

OK [ 9.46 deg. <= Theta <= 37 deg. ]

Check for Diameter in case of Appendix J

T J-1

0.56 ≤ 0.375

Based on 8 mm Roof Plate Thk.

Cone pDL/2

Frustum p(D+d)L/2

Dome pdh

1.01 ≤ 1.11

[Condition not satisfied stiffeners not required.]

S H E L L D E S I G N

mm MPa MPa m

3.9.7.2 & V.8.1.4

6 49.83 23.96 1.950

6 34.90 16.78 1.950

6 19.98 9.60 0.450

6 16.53 7.95 1.950

0 0.00 0.00 0.000

0 0.00 0.00 0.000

0 0.00 0.00 0.000

0 0.00 0.00 0.000

0 0.00 0.00 0.000

0 0.00 0.00 0.000

0 0.00 0.00 0.000

0 0.00 0.00 0.000

6.300

A N N U L A R B O T T O M P L A T E D E S I G N

*tused Sdmax Stmax Wtr

Lap welded bottom plates may be used in lieu of butt-welded annular bottom plates. (Group IV, IVA, V, or VI Only)

Lap Projection

mm mm

50 50

B O T T O M P L A T E D E S I G N

R O O F P L A T E D E S I G N

W E I G H T S U M M A R Y

Roof Weight Total Weight

kN kg kN kg

10.5 1066.5 65.49 6675.6

6.5 666.6 36.60 3064.7

T O P W I N D G I R D E R D E S I G N

MOI Weight

Kg/m

573091 9919 7.26 0.33

269278 4755 3.56 0.31

R O O F - T O - S H E L L J O I N T D E S I G N [ C H A P T E R 3 ]

Status

453.00 0.00 776.47 OK

Section Modulus

Surafce Area

mm4 mm3 m2/m

Aattach't Ashell Afurn'd

mm2 mm2 mm2

R O O F - T O - S H E L L & B O T T O M - T O - S H E L L J O I N T D E S I G N

Status

209.02 1479.88 OK

209.02 1479.88 OK

209.02 1479.88 OK

0.00 1270.86 OK

0.00 1270.86 OK

0.00 1270.86 OK

191.02 1914.88 OK

209.02 2146.88 OK

209.02 905.77 OK

696.75 3114.61 OK

I N T E R M E D I A T E W I N D G I R D E R D E S I G N

Vacuum TotalRatio

kPa kPa

0.24 1.710.83

0.60 2.07

N/A

V.8.1.1 Corroded Thk.

V.8.1.2 Corroded Thk.

V.8.1.3 Actual Thk.

Use N

Nos. Nos. Nos.

2 10 5

Ashell Afurn'd

mm2 mm2

Zfurn'd

cm3

Nmin Nmax

Note: Minimum size of angle for use alone or as a component in a built-up stiffening ring shall be 64 x 64 x 6.4 mm and the minimum nominal thickness of plate shall be 6 mm.

Note: Minimum size of angle for use alone or as a component in a built-up stiffening ring shall be 64 x 64 x 6.4 mm and the minimum nominal thickness of

plate shall be 6 mm.

#DIV/0! 459 18.43 29.6

#DIV/0! 459 18.43 29.6

#DIV/0! 459 18.43 29.6

#DIV/0! 459 18.43 29.6

#DIV/0! 459 18.43 29.6

#DIV/0! 459 18.43 29.6

- - - -

- - - -

- - - -

- - - -

4.47 459 3.97 29.6

4.47 459 18.43 29.6

S T R E N G T H O F S T I F F E N E R A T T A C H M E N T W E L D

V A C U U M C O N D I T I O N [ ASME Sec VIII, Div. 1 ]

6 3 2.89 -0.11

0.24 0.12 0.11 0.00

O V E R T U R N I N G S T A B I L I T Y

Sum

kN - m

42.73

Astiff min Astiff furn'd Zreq'd Zfurn'd

mm2 mm2 cm3 cm3

Astiff min Astiff furn'd Zreq'd Zfurn'd

mm2 mm2 cm3 cm3

tsn tsn - CA tCalc tfurn'd

0.6Mw + MPi MDL / 1.5 Mw + 0.4MPi ( MDL + MF ) / 2

kN - m kN - m kN - m kN - m

204.80 40.77 114.40 286.67

D E S I G N T E N S I O N L O A D P E R A N C H O R

S L I D I N G R E S I S T A N C E

U P L I F T L O A D S C A S E S

Bolts

Nos.

42426.14 57215.628

9537.40 12862.07

Psi lbs

20000 944.60 0.06 40.63

25000 1504.56 0.08 48.53

34809 0.00 0.00 0.00

25000 126.18 0.00 2.83

25000 253.39 0.01 5.68

25000 2010.60 0.10 64.86

25000 1883.39 0.07 42.19

A N C H O R C H A I R D E S I G N

Anchor Chair Design NOT Adequate.

mph

kips

kips

kips

kips

in. OK

in. OK

in. OK

W2 W3

N [ lbs ]

N [ lbs ]

Fall - Shell tb = U / N Abolt - req'd

in2 mm2

in.

in. OK

in. OK

in. OK

in. OK

in. OK

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

in.

kips

in.

in.

ksi NOT OK

ksi

in.

deg.

-

OK

in.

kips / lin in. of weld length



kips NOT OK

kips NOT OK

P R O B L E M S T A T I S T I C S

A N C H O R C H A I R D E S I G N C A L C U L A T I O N S( A I S I - E - 1 , V O L U M E II, P A R T V I I )

L I V E L O A D T R A N S F E R R E D T O F O U N D A T I O N

KN

m

KN/m

D E A D L O A D T R A N S F E R R E D T O F O U N D A T I O N

KN

KN

KN

KN

KN

KN/m

KN/m2

m2

O P E R A T I N G & H Y D R O S T A T I C T E S T L O A D S

KN

KN

KN

W I N D L O A D T R A N S F E R R E D T O F O U N D A T I O N

KN

KN/m

KN-m

S U M M A R Y O F F O U N D A T I O N L O A D I N G D A T A

KN/m

KN/m

KN

KN/m

KN-m

Consider 15-20 % variation in weight while designing the foundation.

C E N T R E O F G R A V I T Y

E M P T Y C O N D I T I O N

m

m

m

m

m

m

kg

kg

kg

kg

m


kg

kg

kg

KN/m2

KN/m2

KN/m2

KN/m2

m


m

m

kg

kg

kg

m

Kg

m

S E I S M I C D E S I G N [ A P P E N D I X E ]

0.72

1.40

2

1.25

1

2

1

0

0.28

1.40

0.112

0

0

1.6

2.4

1

S T R U C T U R A L P E R I O D O F V I B R A T I O N S


Tc T

seconds seconds

2.21 1.89

S P E C T R A L A C C E L E R A T I O N P A R A M E T E R

I m p u l s I v e S p e c t r a l A c c . P a r a m e t e r

Ai

0.09

0.09

0.09338

C o n v e c t I v e S p e c t r a l A c c . P a r a m e t e r

Ts Rwc Q

seconds seconds - -

7.50 4 2 0.67

TL

< Ai 0.0934 Satisfied

D E S I G N L O A D S


Vi Vc V

N N N

140776 23184 142673

E F F E C T I V E W E I G H T O F P R O D U C T

E f f e c t i v e I m p u l s I v e W e i g h t & E f f e c t I v e C o n v e c t i v e W e i g h t

V E R T I C A L S E I S M I C E F F E C T S

O V E R T U R N I N G M O M E N T

R I n g w a l l M o m e n t

Wc Xc Mrw

N m N-m

269709.748 5.85 402509

S l a b M o m e n t

Wc Xcs Ms

N m N-m

269710 6.12 795890

A N C H O R A G E


Wt Wa Ge J

N/m N/m -

5247 27250 1.023 0.61

Tank is self Anchored.

A N N U L A R P L A T E R E Q U I R E M E N T S



a [Not Satisfied.]

b [Not Satisfied.]

[Satisfied]

L = 158 mm

[Not Satisfied]

[Not Satisfied]

See API 650 Sec. E.7.3


Long. Shell Comp. Stress = 10.19 MPa

Long. Shell Comp. Stress = 10.78 MPa



Thickness of the shell ring under consideration, mm.

Allowable longitudinal shell membrane compression stress, MPa.

Fc = 83 ts / D

Fc = 83 ts / ( ( 2.5 D ) + 7.5 SQRT ( G H ) )

Ni

6.44

D / H 0.72

Use '2 & 3'

Y 6.70

1 6.41 N/mm

2 & 3 5.13 N/mm

1, 2 & 3 5.13 N/mm

Use Ni = 5.13 N/mm

Use Nc = 0.04 N/mm

APPENDIX E - SEISMIC DESIGN OF STORAGE TANKS

Specific Gravity G 1.04 -

Tank Dia. D 4.506 m

Tank Height H 6.30 m

Aspact Ratio D/H 0.72 -

Inverse Aspact Ratio H/D 1.40 -

Bottom Plt. Thk. 7.00 mm

First Shell Course Thk. tsn 3.00 mm

Minimum specified yield strength of shell course 240.00 MPa

Height from bottom of the shell to CG Xs 3.15 m

Height from top of shell to the roof and roof appurtenance Xr 0.167 m

Seismic Use Group SUG II

Importance Factor I 1.25

Site Class SC D

Anchorage Condition Mechanically Anchored

Vertical Acceleration Consider

MCE Ground Motion Definitions

0

Ss 0.28

S1 1.4

So 0.112

Fa 1.6

Fv 2.4 So = 0.4Ss 0.112

0

0

2.4

0.760

Structural Period of Vibration

Impulsive Natural Period Ci = 6.4 -

H = 6.30 m

tu = 6 mm

tbtm

FYmin

SP

SP Ss = 2.5SP

SDS S1 = 1.25SP

Ss = 1.5Fa

S1 = 0.6Fv/T

E19


E20

odpk-smalvi: Mapped, maximum considered earthquake, 5-percent-damped, spectral response acceleration parameter at short period ( 0.2 seconds ), Ss

E21

odpk-smalvi: Mapped, maximum considered earthquake, 5-percent-damped, spectral response acceleration parameter at a period of 1 second, S1

E22

odpk-smalvi: Mapped, maximum considered earthquake, 5-percent-damped, spectral response acceleration parameter at zero seconds, So.

B25


D = 4.51 m

p = 1040

E = 195000 Mpa

Ti = 1.80 seconds

Convective (Sloshing) Period

Tc = 1.8 Ks sqrt ( D ) Tc = 2.21 seconds

Ks = 0.578 / ( sqrt ( ( 3.68 H ) / D ) ) Ks = 0.58

Design Spectral Response Acceleration T 1.89

Impulsive spectral acceleration parameter, Ai

Probabilistic or Mapped Design Method (Approach 1)

So = 0.112 %g

N/A 0 %g

N/A 0.45 %g

I = 1.25 -

Fa = 1.6 -

Rwi = 4 -

Q = 1.00 -

0.14

Ai = 2.5 Q Fa So ( I / Rwi ) 0.14

For Site Class A, B, C and D Satisfied

For Site Class E and F N/A N/A

For Site Class E and F N/A N/A

Ai 0.14000

Concevtice spectral acceleration parameter, Ac

kg/m3

SP =

SDS = 2.5 Q Fa So ( E-4 ) SDS =

Ai = SDS ( I / Rwi )

Ai ≥ 0.007

Ai ≥ 0.5 S1 ( I / Rwi )

Ai ≥ 0.875 SP ( I / Rwi )

Probabilistic or Mapped Design Method (Approach 1)

S1 = 0.14 %g

Ss = 0.28 %g

So = 0.112 %g

0 %g

0 %g

K = 1.5 -

I = 1.25 -

Fa = 1.6 -

Fv = 2.4 -

Tc = 2.21 seconds

Ts = 0.75 seconds

4 seconds

Rwc = 2 -

Q = 1.00 -

Ac N/A

Ac 0.09508

Ac N/A

Ac 0.17221

Ac 0.08596 < Ai

SEISMIC DESIGN FACTORS

DESIGN FORCES

Equivalent lateral seismic design force F = A . Weff

lateral acceleration coefficient A ( %g )

Effective Weight contributing to seismic response Weff

So = SP

SD1 =

SP =

TL =

TC < TL

Ac = KSD1 ( I / Tc ) ( I / Rwc )

Ac = 2.5 Q Fa So ( Ts / Tc ) ( I / Rwc )

TC > TL

Ac = KSD1 ( TL / Tc2 ) ( I / Rwc )

Ac = 2.5 Q Fa So ( ( Ts TL / Tc2 ) ( I / Rwc )

DESIGN LOADS

Ws 89100 N

Wr 18950 N

Wf 15530 N

Wi 1383984 N

Wc 269710 N

1639640 N

Ai 0.1400 %g

Ac 0.0860 %g

Vi = Ai ( Ws + Wr + Wf + Wi ) Vi 211059 N

Vc = Ac Wc Vc 23184 N

V 212329 N

EFFECTIVE WEIGHT OF PRODUCT

EFFECTIVE IMPULSIVE WT.

D 4.51 m

H 6.30 m

D/H 0.72 -

1639640 N

When D / H greater than or equal to 1.333

( tanh ( 0.866 D / H ) / (0.866 D / H ) ) Wp

Wi 1457810 N

WP

V = SQRT ( Vi2 + Vc2 )

WP

When D / H less than 1.333

Wi 1383984 N

Use Wi =

EFFECTIVE CONVECTIVE WT.

D 4.51 m

H 6.30 m

D/H 0.72

1639640 N

For Convective

Wc 269710 N Use Wc =

CENTER OF ACTION FOR EFFECTIVE LATERAL FORCES

CENTRE OF ACTION OF RINGWALL OVERTURNING MOMENT

D 4.51 m

H 6.30 m

D/H 0.72 -

H/D 1.40 -


Xi = 0.375 H

Xi 1.69 m Not Applicable in this case.


Xi = ( 0.5 - 0.094 ( D / H ) ) H

Xi 2.73 m Applicable in this case.

Use Xi =

For Convective

( 1 - 0.218 ( D / H ) ) WP

WP

0.23 ( D / H ) tanh ( ( 3.67 H ) / D ) WP

Xc = ( 1.0 - ( COSH ( (3.67 H / D ) -1 ) / ( ( 3.67 H / D ) SINH ( 3.67 H /D ) )

H H/D 3.67 ( H / D ) ( 3.67 ( H / D ) - 1 ) COSH 4 SINH 3 Xc

6.3 1.4 5.1 4.1 31.1 84.6 5.85

Use Xc =

CENTRE OF ACTION OF SLAB OVERTURNING MOMENT

D 4.51 m

H 6.30 m

D/H 0.72 -


Xis = 0.375 ( 1.0 + 1.333 ( ( ( 0.866 D / H ) / TANH ( 0.866 D / H ) ) -1.0 ) ) H

D H D / H 0.866 ( D / H ) TANH 4 Xis

4.51 6.30 0.72 0.62 0.55 2.76


Xis = ( 0.5 + 0.6 ( D / H ) ) H

D H D / H 0.6 ( D / H ) Xis

4.51 6.30 0.72 0.43 5.85

Use Xis =

For Convective

Xcs = ( 1.0 - ( COSH ( ( 3.67 H / D ) -1.937 ) / ( 3.67 ( H / D ) SINH ( 3.67 ( H / D ) ) ) ) H

D H H / D 3.67 ( H / D ) 3.67 ( H / D ) - 1.937 COSH 5 SINH 3

4.51 6.30 1.40 5.13 3.19 12.22 84.60

Use Xcs =

VERTICAL SEISMIC EFFECTS

0.448

Av = 0.06272 %g

Fv = ± Av Weff Wi = 1383984 N

Wc = 269710 N

Weff = 1410020 N

Fv = 88436 N

DYNAMIC LIQUID HOOP FORCES

When D / H is greater than or equal to 1.333

D H D / H 0.866 ( D / H ) TANH 4 Y Y / H

4.51 6.30 0.72 0.6194 0.5507 6.30 1.000

When D / H is less than 1.333 and Y is less than 0.75 D

D Y Y / D Ai G Ni

4.51 4.00 0.89 0.1400 1.04 7.46

When D / H is less than 1.333 and Y is greater than or equal to 0.75 D

D Ai G Ni

4.51 0.1400 1.04 7.69

For Convective

Nc = 1.85 Ac G D2 COSH ( 3.68 ( H - Y ) / D ) / COSH (3.68 H / D )

D H Y 3.68 ( H - Y ) / D 3.68 ( H / D ) COSH 4 COSH 5

4.51 6.30 6.70 -0.33 5.15 1.0538 85.801



SDS =

Ni = 8.48 Ai G D H ( ( Y / H ) - 0.5 ( Y / H )2 ) TANH ( 0.866 D / H )

Ni = 5.22 Ai G D2 ( ( Y / ( 0.75 D ) ) - 0.5 ( Y / ( 0.75 D ))2 )

Ni = 2.6 Ai G D2

product hydrostatic design stress in determining the total stress.

When vertical acceleration not specified

When vertical acceleration specified

OVERTURNING MOMENT

RINGWALL MOMENT Ai 0.14

Wi 1383984.208

Xi 2.83

Ws 89100

Xs 3.15

Wr 18950

Xr 0.167

Ac 0.08596

Wc 269709.7481

Xc 6.1

Mrw 604837 N-m

SLAB MOMENT

σT = σh ± σs = ( Nh ± SQRT ( Ni2 + Nc

2 ) ) / t

σh σs Nh Ni Nc

σT = σh ± σs = ( Nh ± ( SQRT ( Ni2 + Nc

2 + ( Ac Nh )2 ) ) ) / t

σh σs Nh Ni Nc

Mrw = SQRT ( ( Ai ( Wi Xi + Ws Xs + Wr Xr ) )2 + ( Ac ( Wc Xc ) )2 )

Ai 0.1400

Wi 1383984.208

Xis 6.66

Ws 89100.00

Xs 3.15

Wr 18950.00

Xr 0.167

Ac 0.0860

Wc 269710

Xcs 6.48

Ms 1338620 N-m

Anchorage [Resistance to the design overturning (ringwall) moment at the base of the shell]

Resistance is contributed by:

For unanchored tanks

Weight of the tank shell

Weight of roof reaction on shell

Weight of a portion of the tank contents adacent to the shell

For anchored tanks

Mechanical anchorage devices (i.e., Anchor chair with anchor boldts)

ta 7.00 mm

S 0 N

0.06272 %g

Anchorage Ratio, J Mrw 604837 N-m

Ws 55322 N

Wss 3908 N/m

Ms = SQRT ( ( Ai ( Wi Xis + Ws Xs + Wr Xr ) )2 + ( Ac ( Wc Xcs ) )2 )

Av

J = Mrw / ( D2 ( Wt ( 1 - 0.4 Av ) )+ Wa )

Wr 18953 N

Wrs 1339 N/m

Wt 5247 N/m

Wa = 99 ta SQRT ( Fy H Ge ) ≤ 1.28 H D Ge Wa 27134 N/m

27134 ≤ 37 Ge 1.014 -

J 0.92

Annular Plate Requirements Tank is self Anchored.


tank floor plate ( i.e., ta > tb ) with the following restrictions:

ts - CA 3.00 mm

Actual Thk. Btm Plt. 7.00 mm

a [Not Satisfied.]

b [Not Satisfied.]

Tank Self Anchored?

a ) The resisting force is adequate for tank stability ( i.e. the anchorage ratio, J > 1.54 )

b ) The maximum width of annulus for determining the resisting force is 3.5% of the tank diameter.

c ) The shell compression satisfies E.6.2.2

d ) The req'd annular plate thickness does not exceed the thickness of the btm shell course.

e ) Piping flexibility requirements are satisfied.

Shell Compression in Self-Anchored Tanks


Wt = ( ( Ws / PI() D ) + Wrs )

tb


σc = ( wt ( 1 + 0.4 Av ) + ( 1.273 Mrw / D2 ) ) ( 1 / ( 1000 ts ) )

σc = ( ( ( wt (1 + 0.4 Av ) + wa ) / ( 0.607 -0.18667 J2.3 ) ) - wa ) ( 1 / ( 1000 ts ) )

wt 5247 N/m

Av 0.06272 %g

Mrw 604837 N-m

D 4.506 m

ts 3.00 mm

wa 27134 N/m

J 0.92 -

14.960 MPa

Shell Compression in Mechanically-Anchored Tanks

wt 5247 N/m

Av 0.06272 %g

Mrw 604837 N-m

D 4.506 m

ts 3.00 mm

14.433 MPa

Allowable Longitudinal Membrane Compression Stress in Tank Shell

G 1.04

H 6.30

D 4.506

ts 3.00 Corroded

14.78

σc


σc = ( wt ( 1 + 0.4 Av ) + ( 1.273 Mrw / D2 ) ) ( 1 / ( 1000 ts ) )

σc

G H D2 / t2

Fc 8.17 MPa

Self Anchored Consider

Mechanically Anchored Do not consider

Where the site properties are not known in sufficient detail to determine the site class, Site Class D shall be assumed

unless the authority having jurisdiction determines that Site Class E or F should apply at the site.

Corroded

Corroded

Seismic Use Group

I Not assigned to SUG II and III

II Hazardous substance, public exposure, direct service to major facilities

III Post earthquake recovery, life and health of public, hazardous substance

Note:

Seismic Use Group (SUG) for the tank shall be specified by the purchaser.

If it is not specified, the tank shall be assigned to SUG I

Importance Factor Site Class

SUG I A Hard rock

I 1 B Rock

II 1.25 C Very dense soil

III 1.5 D Stiff soil

E Soil

F N/A

T = Natural period of vibration of the tank and contents, seconds.

Ci = Coefficient for determining impulsive period of tank system

H = Maximum design product level, m

tu = Equivalent uniform thickness of tank shell, mm

N28

odpk-smalvi: Requiring site-specific evaluations

D = Nominal tank diameter, m

p =

E = Elastic Modulus of tank material, MPa

Ti = Natural period of vibration for impulsive mode of behavior, seconds

Tc = Natural period of vibration for convective (sloshing) mode of behavior, seconds

So = Mapped, maximum considered earthquake, 5-percent-damped, spectral response acceleration parameter at a period of one second, %g.

Design level peak ground acceleration parameter for sites not addressed by ASCE methods.

The design, 5-percent-damped, spectral response acceleration parameter at short periods ( T = 0.2 seconds ) based on ASCE 7 methods, %g.

I = Importance factor coefficient based on seismic use group.

Fa = Acceleration-based site coefficient ( at 0.2 seconds period ).

Rwi = Force reduction factor for the impulsive mode using allowable stress design methods.

Q =

Mass density of fluid, kg/m3

SP =

SDS =

Scaling factor from the MCE to the design level spectral acceleration. Q = 2 / 3 for ASCE 7 and Q = 1 UOS.

S1 = Mapped, MCE, 5-percent-damped, spectral response acceleration parameter at a period of one second, %g.

Ss = Mapped, MCE, 5-percent-damped, spectral response acceleration parameter at short periods ( T = 0.2 seconds ), %g.

So = Mapped, MCE, 5-percent-damped, spectral response acceleration parameter at a period of one second, %g.

The design, 5-percent-damped, spectral response acceleration parameter at one second based on ASCE 7 methods, %g.

K =

I = Importance factor coefficient based on seismic use group.

Fa = Acceleration-based site coefficient ( at 0.2 seconds period ). Table E - 1

Fv = Velocity-based site coefficient ( at 1.0 seconds period ).

Tc = Natural period of the covective (sloshing) mode of behavior of the liquid, seconds.

Ts = ( Fv . S1 ) / ( Fa . Ss )

Regional-dependent transition period for longer period ground motion, seconds. For ASCE 7 Mapped value and for Outside USA 4.

Rwc = Force reduction coefficient for the convective mode using allowable stress design methods.

Q =

0.1400 Satisfied

SD1 =

SP =

Coefficient to adjust the spectral acceleration from 5% to 0.5% damping = 1.5 UOS.

TL =


Ws Total weight of tank shell and appurtenances, N.

Wr Total weight of fixed tank roof including framing, knuckles, any permanent attachments and 10% of the roof design snow load, N.

Wf Weight of the tank floor, N.

Wi Effective impulsive weight of the liquid, N.

Wc Effective convective (sloshing) portion of the liquid weight, N.

Total weight of the tank contents based on the design specific gravity of the product, N.

Ai Impulsive design response spectrum acceleration coefficient, %g.

Ac Convective design response spectrum acceleration coefficient %g.

Vi Design base shear due to impulsive component from effective weight of tank and contents, N.

Vc Design base shear due to the convective component of the effective sloshing wieght, N.

V Total design base shear, N.

WP

1383984 N

269710 N

2.83 m

6.10 m

6.66 m

Xcs

6.12

6.48 m

Av = Vertical earthquake acceleration coefficient, %g.

Wi = Effective weight contributing to seismic response.

Wc = Velocity-based site coefficient ( at 1.0 seconds period ).

Y = Distance from liquid surface to analysis point, (positive down), m.

Ni = Impulsive hoop membrane force in tank wall, N/mm.

0.5 ( Y / H ) Ai G Ni

0.500 0.1400 1.04 9.65

D / H 0.72

Use '2 & 3'

Y 6.70

1 9.61 N/mm

2 & 3 7.69 N/mm

1, 2 & 3 7.69 N/mm

Use Ni = 7.69 N/mm

Use Nc = 0.04 N/mm

Ac G Nc

0.0860 1.04 0.04



Av = 0.14 SDS

SDS = 2.5 Q Fa So

t Product hydrostatic hoop stress in the shell, MPa.

Hoop stress in the shell due to impulsive and convective force of the stored liquid, MPa.

Total combined hoop stress in te shell, MPa.

Product hydrostatice membrane force, N/mm.

Impulsive hoop membrane force in tank wall, N/mm.

Convective hoop membrane force in tank wall, N/mm.

t Thickness of the shell ring under consideration, mm.

Vertical earthquake acceleration coefficient, %g.

t

σT σh

σs

σT

Nh

Ni

Nc

± ( SQRT ( Ni2 + Nc

2 + ( Ac Nh )2 ) ) ) / t

Av

Av σT

Mrw = SQRT ( ( Ai ( Wi Xi + Ws Xs + Wr Xr ) )2 + ( Ac ( Wc Xc ) )2 )

ta Thickness of the bottom plate under the shell extending at least the distance, L, from the inside of the shell, less CA, mm.

S Design snow load, N.


Mrw Ringwall moment - Portion of the total overturning moment that acts at the base of the tank shell perimeter, N-m.

Ws Total weight of tank shell and appurtenances, N. (Shell + Btm Plt + Curb Angle + Rings )

Wss Total weight of tank shell and appurtenances per unit length of shell circumference, N/mm.

Ms = SQRT ( ( Ai ( Wi Xis + Ws Xs + Wr Xr ) )2 + ( Ac ( Wc Xcs ) )2 )

Av

Wr Total weight of fixed tank roof including framing, knuckles, any permanent attachments and 10% of the roof design snow load, N.

Wrs Roof load acting on the shell, including 10% of the specified snow load, N/m.

Wt Tank and roof weight acting at base of shell, N/m.

Wa Resisting force of tank contents per unit length of shell circumference that may be used to resist the shell overturning moment, N/m.

Ge Effective specific gravity including vertical seismic effects = G ( 1.0 - 0.4 Av )

J < 0.785 No calculated uplift under the design seismic overturning moment. The tank is self anchored.

0.785 < J < 1. Tank is uplifting, but the tak is stable for the design load providing the shell compression requirements are satisfied. Tank is self anchored.

J >1.54 Tank is not stable and cannot be self-anchored for the design load. Modify the annular plate if L < 0.035D is not controlling or add mechanical anchorage.


a ) The thickness, ta, used to calculate wa in Equ E-23 shall not exceed the first shell course thickness, ts, less the shell CA.

b ) Nor shall the thickness, ta, used in Equ E-23 exceed the actual thickness of the plate under the shell less the CA for tank bottom.

c ) when the bottom plate under the shell is thicker than the remainder of the tank bottom (i.e. ta > tb) the min. projection of the supplied

thicker annular plate inside the tank wall, Ls, shall be equal to or greater than L:

[Satisfied]

L = 158 mm

[Not Satisfiend]

[Not Satisfied]

See API 650 Sec. E.7.3



J < 0.785 Long. Shell Comp. Stress = 14.43 MPa

J > 0.785 Long. Shell Comp. Stress = 14.96 MPa

Thickness of the shell ring under consideration, mm. corroded


Allowable longitudinal shell membrane compression stress, MPa.

Fc = 55.26 MPFc = 83 ts / D

Fc = 8.17 MPaFc = 83 ts / ( ( 2.5 D ) + 7.5 SQRT ( G H ) )

G H < 0.5 Fty 28.3878 120 Satisfied

G H D2 / t2 ≥ 44

G H D2 / t2 < 44

Where the site properties are not known in sufficient detail to determine the site class, Site Class D shall be assumed

unless the authority having jurisdiction determines that Site Class E or F should apply at the site.

Hazardous substance, public exposure, direct service to major facilities

Post earthquake recovery, life and health of public, hazardous substance

Seismic Use Group (SUG) for the tank shall be specified by the purchaser.

Very dense soil

Natural period of vibration for convective (sloshing) mode of behavior, seconds

Mapped, maximum considered earthquake, 5-percent-damped, spectral response acceleration parameter at a period of one second, %g.

Design level peak ground acceleration parameter for sites not addressed by ASCE methods.

The design, 5-percent-damped, spectral response acceleration parameter at short periods ( T = 0.2 seconds ) based on ASCE 7 methods, %g.

Force reduction factor for the impulsive mode using allowable stress design methods.


Mapped, MCE, 5-percent-damped, spectral response acceleration parameter at a period of one second, %g.

Mapped, MCE, 5-percent-damped, spectral response acceleration parameter at short periods ( T = 0.2 seconds ), %g.

Mapped, MCE, 5-percent-damped, spectral response acceleration parameter at a period of one second, %g.

The design, 5-percent-damped, spectral response acceleration parameter at one second based on ASCE 7 methods, %g.

Natural period of the covective (sloshing) mode of behavior of the liquid, seconds.

Regional-dependent transition period for longer period ground motion, seconds. For ASCE 7 Mapped value and for Outside USA 4.

Force reduction coefficient for the convective mode using allowable stress design methods.

Coefficient to adjust the spectral acceleration from 5% to 0.5% damping = 1.5 UOS.


Total weight of fixed tank roof including framing, knuckles, any permanent attachments and 10% of the roof design snow load, N.

Total weight of the tank contents based on the design specific gravity of the product, N.

Design base shear due to impulsive component from effective weight of tank and contents, N.

Design base shear due to the convective component of the effective sloshing wieght, N.

DS = 2.5 Q Fa So

Product hydrostatic hoop stress in the shell, MPa.

Hoop stress in the shell due to impulsive and convective force of the stored liquid, MPa.

Total combined hoop stress in te shell, MPa.

Product hydrostatice membrane force, N/mm.

Impulsive hoop membrane force in tank wall, N/mm.

Convective hoop membrane force in tank wall, N/mm.

Thickness of the shell ring under consideration, mm.


Thickness of the bottom plate under the shell extending at least the distance, L, from the inside of the shell, less CA, mm.

Ringwall moment - Portion of the total overturning moment that acts at the base of the tank shell perimeter, N-m.

Total weight of tank shell and appurtenances, N. (Shell + Btm Plt + Curb Angle + Rings )

Total weight of tank shell and appurtenances per unit length of shell circumference, N/mm.

Total weight of fixed tank roof including framing, knuckles, any permanent attachments and 10% of the roof design snow load, N.

Roof load acting on the shell, including 10% of the specified snow load, N/m.

Resisting force of tank contents per unit length of shell circumference that may be used to resist the shell overturning moment, N/m.

Effective specific gravity including vertical seismic effects = G ( 1.0 - 0.4 Av )

No calculated uplift under the design seismic overturning moment. The tank is self anchored.

Tank is uplifting, but the tak is stable for the design load providing the shell compression requirements are satisfied. Tank is self anchored.

Tank is not stable and cannot be self-anchored for the design load. Modify the annular plate if L < 0.035D is not controlling or add mechanical anchorage.

a ) The thickness, ta, used to calculate wa in Equ E-23 shall not exceed the first shell course thickness, ts, less the shell CA.

b ) Nor shall the thickness, ta, used in Equ E-23 exceed the actual thickness of the plate under the shell less the CA for tank bottom.

c ) when the bottom plate under the shell is thicker than the remainder of the tank bottom (i.e. ta > tb) the min. projection of the supplied

thicker annular plate inside the tank wall, Ls, shall be equal to or greater than L:

Fc = 83 ts / ( ( 2.5 D ) + 7.5 SQRT ( G H ) )

F.1 Scope

F.1.1 This appendix applies to the storage of nonrefrigerated liquids.

F.1.2 When net uplift does not exceed the nominal weight of the shell, roof and framing supported b the shell or roof F.2 through F.6.

F.1.3 Internal Pressure exceed 18 kPa gauge covered in F.7.

F.1.4

F.1.5 Tank nameplate shall indicate whether the tank has been designed in accordance with F.1.2

F.1.6 Figure F-1 provided to aid in the determination of the applicability of various sections of this appendix.

F.2 Venting (Deleted)

F.3 Roof Details

F.4 Maximum Design Pressure and Test Procedure

F.4.1 The design pressure, P, for a tank that has been constructed or that has had its design details established

may be calculated from the following equation (subjected to the limitations of Pmax in F.4.2)

P Internal design pressure, kPa

A

θ Angle between the roof and a horizontal plane at the roof-to-shell junction, degrees

tan θ Slope of the roof, expressed as a decimal quantity

D Tank diameter, m

Nominal roof thickness, mm

F.4.2 The maximum design pressure, limited by uplift at the base of the shell, shall not exceed the value calculated

from the following equation unlesss further limited by F.4.3

Pmax Maximum design pressure, kPa

Total weight of the shell and any framing (but not roof plates) supported by the shell and roof, N

D Tank diameter, m

Nominal roof thickness, mm

M Wind moment, N - m

P = ( 1.1 ) ( A ) ( tan θ ) / D2 + 0.08th

Area resisting the compressive force, as illustrated in Figure F-2, mm2

th

DLS

th

F.4.3 As top angle size and roof slope decrease and tank diameter increases, the design presure permitted by F.4.1 and F.4.2

approaches the failure pressure of F.6 for the roof-to-shell junction, In order to provide a safe margin between the maximum

operating pressure and the calculated failure pressure, a suggested further limitation on the maximum design pressure for

tanks with a weak rof-to-shell attachment (frangible joint) is:

Pmax < 0.8 Pf

F.4.4 When the entire tank is completed, it shall be filled with water to the top angle or the design liquid level, and the design

internal air pressure shall be applied to the enclosed space above the water level and held for 15 minutes. The air pressure

shall then be reduced to one-half the design pressure, and all welded joints above the liquid level shall be checked for leaks

by means of a soap film, linseed oil, or another suitable material. Tank vents shall be tested during or after this test.

F.5 Required Compression Area at the Roof-to-Shell Junction

F.5.1

A

D Tank diameter

Pi Design internal pressure, kPa

th Roof Thickness, mm

V Design wind speed ( 3-second gust ), km / h

F.5.2 For self-supporting roofs, the compression area shall not be less than the cross-sectional area calculated in 3.10.5 and 3.10.6

F.6 Calculate Failure Pressure ( Frangible Roofs )

a

b

c

d

e

f

g

A = ( D2 ( Pi - 0.08th ) ) / ( 1.1 ( tanθ ) )

A = ( D2 ( 0.4Pi - 0.08th + 0.72 ( V / 120 )2 ) ) / ( 1.1 ( tanθ ) )

Total required compression area at the roof-to-shell junction, mm2

h

F.7 Anchored Tanks with Design Pressures up to 18 kPa Gauge

F.7.1 Shell Design Modification

F.7.2 Compression Area

F.7.3 Roof Design

F.7.4 Anchorage

Column 1 Column 2 Column 3

Manhole DiameBolt Circle Dia Cover Plate Diameter

mm (in.) Db mm (in.) Dc mm (in.)

Bolt Circle Dia 656 (261/4) 720 (283/4)

Db mm (in.) 756 (301/4) 820 (323/4)

Cover Plate Di906 (361/4) 970 (383/4)

Dc mm (in.) 1056 (421/4) 1120 (443/4)

Pf = 1.6P - 0.047th

Type

MPa MPa Temperature Range

40 90

304 205 515 155 155

304L 170 485 145 132

316 205 515 155 155

316L 170 485 145 131

317 205 515 155 155

317L 205 515 155 155

2

Temp 120

th R2 Wh

0.39 9800.17 37.27

10 248924 947

Rc tc Wc

610.24 0.55 11.00

15500 14 279

MinimumYield

Strength

MinimumTensile

Strength

Allowable Stress fpr Maximum Design TemperatureNot Exceeding (Sd), MPa

FY min FT min

Leg 1 Leg 2 Thk

L1 L2 t

mm mm mm

20 x 20 x 2 20 20 2

20 x 20 x 2.5 20 20 2.5

20 x 20 x 3 20 20 3

25 x 25 x 2.5 25 25 2.5

25 x 25 x 3 25 25 3

25 x 25 x 4 25 25 4

30 x 30 x 2.5 30 30 2.5

30 x 30 x 2.7 30 30 2.7

30 x 30 x 3 30 30 3

30 x 30 x 4 30 30 4

30 x 30 x 5 30 30 5

35 x 35 x 2.5 35 35 2.5

35 x 35 x 3 35 35 3

35 x 35 x 3.2 35 35 3.2

35 x 35 x 3.5 35 35 3.2

35 x 35 x 4 35 35 4

35 x 35 x 5 35 35 5

37 x 37 x 3.3 37 37 3.3

40 x 40 x 3 40 40 3

40 x 40 x 4 40 40 4

40 x 40 x 5 40 40 5

40 x 40 x 6 40 40 6

45 x 45 x 3 45 45 3

45 x 45 x 4 4 4 4

45 x 45 x 4.5 4.5 4.5 4.5

45 x 45 x 5 5 5 5

45 x 45 x 6 6 6 6

50 x 50 x 3 50 50 3

50 x 50 x 4 50 50 4

50 x 50 x 4.5 50 50 4.5

50 x 50 x 5 50 50 5

50 x 50 x 6 50 50 6

50 x 50 x 7 50 50 7

50 x 50 x 8 50 50 8

60 x 60 x 4 60 60 4

60 x 60 x 4.5 60 60 4.5

60 x 60 x 5 60 60 5

60 x 60 x 5.5 60 60 5.5

60 x 60 x 6 60 60 6

60 x 60 x 8 60 60 8

60 x 60 x 10 60 60 10

70 x 70 x 5 70 70 5

70 x 70 x 5.5 70 70 5.5

70 x 70 x 6 70 70 6

70 x 70 x 6.5 70 70 6.5

70 x 70 x 7 70 70 7

70 x 70 x 9 70 70 9

80 x 80 x 5.5 80 80 5.5

80 x 80 x 6 80 80 6

80 x 80 x 7 80 80 7

80 x 80 x 7.5 80 80 7.5

80 x 80 x 8 80 80 8

80 x 80 x 10 80 80 10

90 x 90 x 6.5 90 90 6.5

90 x 90 x 7 90 90 7

90 x 90 x 8 90 90 8

90 x 90 x 8.5 90 90 8.5

90 x 90 x 9 90 90 9

100 100 6.5

100 x 100 x 7 100 100 7

100 x 100 x 8 100 100 8

100 x 100 x 9 100 100 9

100 100 10

100 100 12

120 x 120 x 8 120 120 8

120 120 10

120 120 11

120 120 12

120 120 14

120 120 15

150 150 10

150 150 12

150 150 12.5

100 x 100 x 6.5

100 x 100 x 10100 x 100 x 12

120 x 120 x 10120 x 120 x 11120 x 120 x 12120 x 120 x 14120 x 120 x 15150 x 150 x 10150 x 150 x 12150 x 150 x 12.5

150 150 14

150 150 15

150 150 18

180 180 18

200 200 16

200 200 18

200 200 20

200 200 24

200 200 25

200 200 26

150 x 150 x 14150 x 150 x 15150 x 150 x 18180 x 180 x 18200 x 200 x 16200 x 200 x 18200 x 200 x 20200 x 200 x 24200 x 200 x 25200 x 200 x 26

When net uplift does not exceed the nominal weight of the shell, roof and framing supported b the shell or roof F.2 through F.6.

Internal Pressure

Pressure Force

Tank nameplate shall indicate whether the tank has been designed in accordance with F.1.2 Wt. of roof plates

Figure F-1 provided to aid in the determination of the applicability of various sections of this appendix. Wt. of shell, roof and attached framing

The design pressure, P, for a tank that has been constructed or that has had its design details established

may be calculated from the following equation (subjected to the limitations of Pmax in F.4.2)

10.89 kPa

776.47

Angle between the roof and a horizontal plane at the roof-to-shell junction, degrees 14 degrees

0.249 -

4.506 m

5 mm

The maximum design pressure, limited by uplift at the base of the shell, shall not exceed the value calculated

-0.66 kPa

Total weight of the shell and any framing (but not roof plates) supported by the shell and roof, N 14769.83 N

4.506 m

5.00 mm

42734.81 N-m

Area resisting the compressive force, as illustrated in Figure F-2, mm2 mm2

As top angle size and roof slope decrease and tank diameter increases, the design presure permitted by F.4.1 and F.4.2

approaches the failure pressure of F.6 for the roof-to-shell junction, In order to provide a safe margin between the maximum

operating pressure and the calculated failure pressure, a suggested further limitation on the maximum design pressure for

-1.03 kPa

When the entire tank is completed, it shall be filled with water to the top angle or the design liquid level, and the design

internal air pressure shall be applied to the enclosed space above the water level and held for 15 minutes. The air pressure

shall then be reduced to one-half the design pressure, and all welded joints above the liquid level shall be checked for leaks

by means of a soap film, linseed oil, or another suitable material. Tank vents shall be tested during or after this test.

340.55

188.94

4.506 mm

5.00 kPa

5 mm Corroded

138 km / h

14 Degrees

For self-supporting roofs, the compression area shall not be less than the cross-sectional area calculated in 3.10.5 and 3.10.6

mm2

mm2

Total required compression area at the roof-to-shell junction, mm2

-1.29 kPa

Temperature Range

150 200 260 Ambient

140 128 121 186 Table S-2 --- Allowable Stress for Tank Shells

119 109 101 155

145 133 123 186

117 107 99 155

145 133 123 186

145 133 123 186

˚C

t L Wh + L + ts A

3.74 59.84 97.11 363.21 947

95 1520 2467 234330.80

ts

3.74 41.16

95 26552.46

Sum 404.37

260883.2534

Wt./m 2047.933539

Allowable Stress fpr Maximum Design TemperatureNot Exceeding (Sd), MPa

HydrostaticTest Stress

(St)MPa

Wt. 199446.9618

20L2 1 #REF! #REF! #REF!

20L2.5 2 #REF! #REF! #REF!


25L2.5 4 #REF! #REF! #REF!

25lL3 5 #REF! #REF! #REF!


30L2.5 7 #REF! #REF! #REF!

30L2.7 8 #REF! #REF! #REF!




35L2.5 12 #REF! #REF! #REF!


35L3.2 14 #REF! #REF! #REF!

35L3.5 15 #REF! #REF! #REF!



37L3.3 18 #REF! #REF! #REF!







45L4.5 25 #REF! #REF! #REF!





50L4.5 30 #REF! #REF! #REF!






60L4.5 36 #REF! #REF! #REF!


60L5.5 38 #REF! #REF! #REF!



60L10 41 #REF! #REF! #REF!


70L5.5 43 #REF! #REF! #REF!


70L6.5 45 #REF! #REF! #REF!



80L5.5 48 #REF! #REF! #REF!



80L7.5 51 #REF! #REF! #REF!


80L10 53 #REF! #REF! #REF!

90L6.5 54 #REF! #REF! #REF!



90L8.5 57 #REF! #REF! #REF!


10L6.5 59 #REF! #REF! #REF!

100L7 60 #REF! #REF! #REF!

100L8 61 #REF! #REF! #REF!

100L9 62 #REF! #REF! #REF!

100L10 63 #REF! #REF! #REF!

100L12 64 #REF! #REF! #REF!

120L8 65 #REF! #REF! #REF!

120L10 66 #REF! #REF! #REF!

120L11 67 #REF! #REF! #REF!

120L12 68 #REF! #REF! #REF!

120L14 69 #REF! #REF! #REF!

120L15 70 #REF! #REF! #REF!

150L10 71 #REF! #REF! #REF!

150L12 72 #REF! #REF! #REF!

150L12.5 73 #REF! #REF! #REF!

150L14 74 #REF! #REF! #REF!

150L15 75 #REF! #REF! #REF!

150L18 76 #REF! #REF! #REF!

180L18 77 #REF! #REF! #REF!

200L16 78 #REF! #REF! #REF!

200L18 79 #REF! #REF! #REF!

200L20 80 #REF! #REF! #REF!

200L24 81 #REF! #REF! #REF!

200L25 82 #REF! #REF! #REF!

200L26 83 #REF! #REF! #REF!

Pi = 5.00 kPa -

79.52 kN

6.54 kNYes

Wt. of shell, roof and attached framing 36.11 kN

-

Yes

-

Yes

No

-

Use API 620

Does tank have internal pressure?

PForce =

Wroof plates =

WTotal =

Does internal pressure exceed weight of roof

plates?

Does internal pressure exceed the weight of the shell, roof and attached

framing?

Provide anchors and conform to F.7.

Does internal pressure exceed 18 kPa?

A roof is considered frangible if the roof-to-shell joint will fail prior to the shell-to-bottom joint in the event of excessive internal pressure.

A roof is considered frangible if the roof-to-shell joint will fail prior to the shell-to-bottom joint in the event ofexcessive internal pressure.

Frangible Roof Conditionsa. The tank shall be 15.25 m (50 ft) diameter or greater.

b. The slope of the roof at the top angleattachment does not exceed 2 in 12.

c. The roof is attached to the top angle with a single continuours fillet weld that

does not exceed 5 mm (3/16 in.). d. The roof support members shall not be

attached to the roof plate. e. The roof-to-top angle compression ring

limited to details a - e in Figure F-2. f. The top angle may be smaller than that

required by 3.1.5.9.e.-g. All members in the region of the roof-to

shell junction, including insulation rings-considered as contributing to the crosssectional area (A).-h. The cross sectional area (A) of the roof

to-shell junction is less than the limitshown below:

A = W / ( 1390 tan Theta )

Frangible Roof Conditions a. The tank shall be 15.25 m (50 ft)

diameter or greater.b. The slope of the roof at the top angle attachment does not exceed 2 in 12.

c. The roof is attached to the top angle with a single continuours fillet weld that does not exceed 5 mm (3/16 in.).

d. The roof support members shall not be attached to the roof plate.

e. The roof-to-top angle compression ring limited to details a - e in Figure F-2.

f. The top angle may be smaller than that required by 3.1.5.9.e.

g. All members in the region of the roof-to-shell junction, including insulation rings considered as contributing to the cross-sectional area (A).

h. The cross sectional area (A) of the roof-to-shell junction is less than the limit shown below:

A = W / ( 1390 tan Theta )










A = W / ( 1390 tan Theta )









A = W / ( 1390 tan Theta )

Table S-2 --- Allowable Stress for Tank Shells

Basic Design

Basic Design

Basic Design plus Appendix F.1 through F.6.Anchors for pressure not required.Do not exceed Pmax.Limit roof/shell compression area per F.5.

API 650 with Appendix F orAPI 620 shall be used

A roof is considered frangible if the roof-to-shell joint will fail prior to the shell-to-bottom joint in the event of excessive internal pressure.

A roof is considered frangible if the roof-to-shell joint will fail prior to the shell-to-bottom joint in the event ofexcessive internal pressure.










A = W / ( 1390 tan Theta )









A = W / ( 1390 tan Theta )










A = W / ( 1390 tan Theta )









A = W / ( 1390 tan Theta )

100598433-Tank-Design

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Transcript of 100598433-Tank-Design