21
DESCRIPTION PAGE 1 DESIGN DATA 3 2 CALCULATIONS FOR MINIMUM SHELL THICKNESS 4 3 BOTTOM PLATE DESIGN 5 4 INTERMEDIATE WIND GIRDER 4.1 AS PER API 650 SEC. 3.9.7 6 5 SUPPORTED CONICAL ROOF 5.1 DESIGN OF ROOF PLATE 7 5.2 DESIGN OF ROOF PLATE WITH STIFFENING 7 5.3 DESIGN OF COMPRESSION RING 8 5.4 DESIGN OF ROOF RAFTERS 10 6 COMPRESSION AREA AT ROOF TO SHELL JOINT 6.1 DESIGN OF COMPRESSION AREA AS PER API 650 App. F 11 7 STABILITY OF TANK AGAINST WIND LOADS 7.1)RESISTANCE TO SLIDING 13 8 FOUNDATION LOADING DATA 14 9 VENTING CALCULATIONS 16 10 NOZZLE FLEXIBILITY ANALYSIS AS PER APPENDIX P 19 11 SHELL TO ROOF RAFTER JOINT STRESS ANALYSIS 20 CONTENTS :- Sr.No .

Supported Cone Roof

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Page 1: Supported Cone Roof

DESCRIPTION PAGE

1 DESIGN DATA 32 CALCULATIONS FOR MINIMUM SHELL THICKNESS 4

3 BOTTOM PLATE DESIGN 54 INTERMEDIATE WIND GIRDER

4.1 AS PER API 650 SEC. 3.9.7 65 SUPPORTED CONICAL ROOF

5.1 DESIGN OF ROOF PLATE 75.2 DESIGN OF ROOF PLATE WITH STIFFENING 75.3 DESIGN OF COMPRESSION RING 85.4 DESIGN OF ROOF RAFTERS 10

6 COMPRESSION AREA AT ROOF TO SHELL JOINT

6.1 DESIGN OF COMPRESSION AREA AS PER API 650 App. F 117 STABILITY OF TANK AGAINST WIND LOADS

7.1)RESISTANCE TO SLIDING 138 FOUNDATION LOADING DATA 149 VENTING CALCULATIONS 1610 NOZZLE FLEXIBILITY ANALYSIS AS PER APPENDIX P 1911 SHELL TO ROOF RAFTER JOINT STRESS ANALYSIS 20

CONTENTS:-

Sr.No.

Page 2: Supported Cone Roof

Design Code : API 650, 10th Edition, Add.4 2005, Appendix F

Client's Specs. : 32-SAMSS-005, BD-407062 Rev.00C

Fluid : FIRE / UTILITY / WASH WATER TANK

Material : SA-516 Gr 70.

Density of contents = 1004.9

Specific gravity of contents G = 1.0049

Material's yield strength = 260 MPa API 650 Table-3.2

Design Temperature T = 71

Internal Pressure Pi = 0.747 Kpa = 3.0 inch of water

External Pressure Pe = 0.245 Kpa = 1.0 inch of water

High Liquid Level = 8.560 m

Design Liquid Level = 9.000 m

Allowable Design Stress at Design Temp. = 173.00 MPa API 650 Table-3.2

Allowable Test Stress for Hydrostatic Test Condition St = 195.00 MPa API 650 Table-3.2

Corrosion allowance

Bottom = 3.20 mm

Shell = 3.20 mm

Roof = 3.20 mm

Roof Supporting Structure = 3.20 mm

Slope of Tank Roof θ = 9.46 0 1 : 6

Outside dia. of tank = 13.516 m

Inside dia of tank = 13.500 m

Nominal dia. of tank D = 13.508 m = 44.32 ft

Height of Shell H = 9.000 m

Weight of roof attachments

(platform, handrail, nozzles, etc.) Wr = 30.00 KN

Weight of attachments (pipe clips, nozzles, etc.) Ws = 5.00 KN

Weight of curb Angle Wc = 6.85 KN

Design Wind Velocity V = 154 Km/hr

Yield Strength of Steel Structure Fy = 250 M Pa = 36.26 Ksi

Live Load on roof = 1.2 Kpa API 650 Sec. 3.2.1d

1) DESIGN DATA

DL kg./m3

dy

oC

Hl

HL

Sd

Do

Di

Lr

Page 3: Supported Cone Roof

Calculations of Shell Thicknesses by Section 3

The minimum thickness of shell plate as per section 3.6.3.2, shall be computed using following formula;

Where,

G = Specific Gravity of fluid to be stored = 1.0049

D = Nominal dia. of tank = 13.508 m

= 9.00 m

CA = Corrosion allowance on shell = 3.20 mm

1st Shell Course

Width of 1st course = 2.500 m

Design height for 1st shell course = 9.076 m

(Including Equivalent head due to internal pressure)

Required Shell Thickness = 6.57 mm

Required Shell Thickness = 3.36 mm

Shell thickness provided = 8.00 mm

2nd Shell Course

Width of 2nd course = 2.500 m

Design height for 2nd shell course = 6.576 m

Required Shell Thickness = 5.61 mm

Required Shell Thickness = 2.13 mm

Shell thickness provided = 8.00 mm

(As per Tank General Note 3 of Data Sheet)

3rd Shell Course

Width of 3rd course = 1.880 m

Design height for 3rd shell course = 4.08 m

Required Shell Thickness = 4.65 mm

Required Shell Thickness = 1.28 mm

Shell thickness provided = 6.00 mm

4th Shell Course

Width of 4th course = 2.120 m Including Curb Angle

Design height for 4th. shell course = 2.196 m

Required Shell Thickness = 3.93 mm

Required Shell Thickness = 0.64 mm

Shell thickness provided = 6.00 mm

Shell Table -1Shell Course # 1 2 3 4Shell width (m) 2.500 2.500 1.880 2.000Shell Thickness (mm) 8.00 8.00 6.00 6.00Corroded Shell Thk.(mm) 4.80 4.80 2.80 2.80Shell Weight (KN) 65.36 65.36 36.86 39.22Shell Weight (KN)Corroded 39.22 39.22 17.20 18.30

Total Shell Weight (KN) = 206.80 KN

Total Shell Wt.(KN) (Corroded) = 113.93 KN

Total weight of corroded shell + Shell attachments, = 120.78 KN

2) CALCULATIONS FOR MIN. SHELL THICKNESS

Design Shell Thickness td = 4.9D (H

L1 - 0.3)G + CA

Sd

Hydrostatic Test Thickness tt = 4.9D (H

L1 - 0.3)

St

HL = Design liquid level for course under consideration

W1

HL1

td

tt

t1

W2

HL2

td

tt

t2

W3

HL3

td

tt

t3

W4

HL4

td

tt

t4

W'ST

Page 4: Supported Cone Roof

As per API 650 Sec. 3.4.1

All bottom plates shall have minimum nominal thickness of 6mm, exclusive of any corrosion allowance.

Required Bottom Plate Thickness = 6+ CA mm

= 9.20 mm

Used bottom plate thickness = 10.00 mm

Weight of bottom Plate = 11430.3 kg = 112.13 KN

Weight of bottom Plate ( Corroded ) = 7772.6 kg = 76.25 KN

(API 650 Sec. 3.5)

Hydrostatic test stress for first shell course == 119.97 M Pa < 172 M Pa OK

If hydrostatic test stress for first course is less than 172 Mpa, lap welded bottom plates may be used in lieu of butt-welded annular bottom plates.

Thickness of annular bottom plate = 10.00 mm

Max. design liquid level = 9.08 m

Width of annular bottom plate =

(between shell ID & lap of bottom plate with annular plate)

Required width of annular bottom plate = 711.91 mm

Width of annular bottom plate provided = 800.0 mm

3) BOTTOM PLATE DESIGN

tb

tb

3.1) ANNULAR PLATE DESIGN

Sh

(4.9D (H1 - 0.3)/t

sc)

tb

HL1

Wap

215 x tb / (H

L1 x G)1/2

Wap

Wact

Page 5: Supported Cone Roof

The maximum height of the unstiffened shell = API 650 Sec.3.9.7.1

Where,

t = As ordered thickness of top shell course = 6.00 mm

t = As Per Article 3.9.7.1 of 32-SAMSS-005 = 2.80 mm

D = Nominal tank diameter = 13.508 m

V = Design wind speed = 154.00 Km/hr

The maximum height of the unstiffened shell = 3.81 m

Transposed width of each shell course = API 650 Sec.3.9.7.2

Where,

W = Actual width of each shell course (mm)

= 6.00 mm

1st Shell Course

As ordered thickness of 1st shell course = 8.00 mm

Actual width of 1st shell course = 2500 mm

Transposed width of 1st shell course = 1218 mm

2nd Shell Course

As ordered thickness of 2nd shell course = 8.00 mm

Actual width of 2nd shell course = 2500 mm

Transposed width of 2nd shell course = 1218 mm

3rd Shell Course

As ordered thickness of 3rd shell course = 6.00 mm

Actual width of 3rd shell course = 1880 mm

Transposed width of 3rd shell course = 1880 mm

4th Shell Course

As ordered thickness of 4th shell course = 6.00 mm

Actual width of 4th shell course = 2120 mm

Transposed width of 4th shell course = 2120 mm

Height of transformed Shell =

= 6436 mm = 6.436 m

As Htr > H1 Intermediate Wind Girder is Required

Intermediate Wind Girder

The required minimum section modulus of an intermediate wind girder shall be calculated as follows.

API 650 Sec.3.9.7.6

17

angle of the shell = 3.218 m

D = Nominal Tank diameter = 13.508 m

22.69

From Table 3-20 we provide one angle of 102*76*6 as intermediate wind girder as per fig. 3-20 detail c

Section modulus provided = 50.2

4) INTERMEDIATE WIND GIRDER 4.1) As per API 650 Sec. 3.9.7

H1 9.47 t (t / D)3/2 x (190/V)2

H1

Height of transformed Shell

Wtr

W x (tuniform

/tactual

)5/2

tuniform

= As ordered thickness of top shell course

tactual

= As ordered thickness of shell course for which transposed width is being calculated (mm)

t1

W1

Wtr1

t2

W2

Wtr2

t3

W3

Wtr3

t4

W4

Wtr4

Htr

Wtr1

+ Wtr2

+ Wtr3

+ Wtr4

Zreq

. = D 2 H 1 x (V/190)2

Where: Z = Required minimum section modulus of intermediate wind girder. (cm3)

H1 = Vertical distance (m) between the intermediate wind girder and the top

Zreq

. = cm3

Zpro

.= cm3

(Including shell participating width & corroded thickness of 2.8mm)

Page 6: Supported Cone Roof

As Apov.>Areq. The Intermediate Wind Girder Is Ok

Page 7: Supported Cone Roof

5.1) Supported Conical Roof

Minimum roof plate thickness=

D x √Tr/2.2 API 650 Sec.3.10.5.1

Where, Tr = Greater of load combinations (e)(1) and (e)(2) as per App. R

Combination i, API 650 App. R (e)(1)

Combination ii, API 650 App. R (e)(2)

Where, Dead Load of the roof, = 0.981 kPa

Live Load on the roof, Lr = 1.200 kPa

External Pressure, Pe = 0.245 kPa

Snow Load, S = 0.000 kPa

= 2.279 kPa

= 1.706 kPa

Tr = 2.279 kPa API 650 Sec. 3.10.5

= 17.43 mm ≥ 5 mm

= 20.63 mm

As per API Sec. 3.10.5.1 the Maximum thickness for self supported roof is 12.5mm (excluding corrosion allowance)

but due to high value of calculated roof thickness, it is proposed to provide supported roof.

Used thickness = 10.00 mm

= 10.00 mm (Including Corrosion Allowance)

Roof developed radius = 6.85 m

Roof developed Area = 147.5Weight of Roof = 114.72 KN

Weight of Roof (corroded) = 77.22 KN

Roof is designed as a supported cone roof. The system of rafters is provided to support the roof plate. The rafters are

supported at tank shell and load is transferred to tank periphery.

Maximum Spacing of Rafters at Outer Ring = 0.6 * π

= 1.88 m API 650 3.10.4.4

Maximum No. of Rafters Required N = π x D/0.6 X π

= 22.51

( Brownell & Young - 4.3b)

Roof plate shall be designed as continuous beam with uniform load comprising of roof live load and self weight of roof plate.The maximum unsupported span of roof plate is equal to the spacing of stiffeners at tank outer dia.

24.00Roof Plate Span l = 1.77 m = 69.7 inch (Maximum spacing of Rafters at tank outer dia)

Roof plate thickness tr = 6.80 mm = 0.27 inch (corroded plate thickness)

Assumed Plate width b = 1 inch

Design Live Load Lr = 1.20 6.85 ###

= 0.78

Design load for roof plate shall be comprising of roof live load and the total dead load acting on the roof.

= 1.98 = 0.29 psiAssuming width of roof plate 1 inch and calculating the bending moment for strip if roof plate 1 inch wide.

Roof Plate Span l = 69.7 inch= 0.29 lbs/inch

Bending Moment At Mid Span Mc = = 58.035 lbs inch

24

Bending Moment At Supports Ms = = 116.07 lbs inch

12

Section modulus of Plate Zp = = 0.012

Allowable Bending Stress 0.6 x Fy = 22625.88 psi ( As per API 650)

= 270.3 lbs inch

Mallow>Ms Thickness Is Ok

Therefore Plate Thickness Provided = 6.80 + CA= 10.00 mm (Including Corrosion Allowance)

5) Design of Roof Plate

tR

4.8 Sinθ

P1 = D

L + (L

r or S) + 0.4 P

e

P2 = D

L + P

e + 0.4 (L

r or S)

DL

P1

P2

(Max. of P1 & P

2)

tR

tR

+ C.A.

Roof Plate Thickness tprov

Rr

Ar m2

5.2) Design of Roof Plate and Stiffening Member

Number of Rafters N2 =

KN/m2

Self Wt. of roof plate Wr KN/m2

Roof Plate Design Load wp = Lr + W

r KN/m2

Design load/ length w = wp x b

wl 2

wl 2

b tr2/6 in3

Fb

=

Allowable Bending Moment M allow

Fb x Zp

Page 8: Supported Cone Roof

1.2

1.04 (including weight of rafters & accessories)

2.24 (udl due to roof plate and live load)

6.75 m

Radius of central compression ring 0.80 m

Span of Rafter Ls = 6.03 m

Self weight of Rafter = 25.30

Total weight of Rafter = 3662.6 Kg = 35.93 KN

= 2444.8 Kg = 23.98 KN

Total weight of Rafter/area = 0.24

Weight of Rafter gr = 0.248

Weight of Central Ring Wr = 2.76 KN

Number of rafter 24.00

Height of Roof at center h = 1.12 m

Radius of tank - radius of compression ring = 5.95 m

= = 3.959

= = 0.469

Calculation of load transferred at joint of stiffener and central ring

Weight of Central Ring ,Wr per stiffener

= Wr = 0.12 KN

5.3) Design of Compression Ring

Fig- 2 : Central Compression Ring Loading Diagram

Live Load on roof Lr = KN/m2

Load of roof plate Dr = KN/m2

g = Lr + D

r = KN/m2

Radius of tank R =R

2 =

Kg/m

Total weight of Rafter corroded

KN/m2

KN/m

N2 =

R1 =

g1 2πRg KN/m

N2

g2 2πR

2g KN/m

N2

Wa = P

1 + P

2

P1

N

π

π

Page 9: Supported Cone Roof

= 0.38 KNLoad transferred to central ring by rafters,P2 = g

2 x R

2

Page 10: Supported Cone Roof

0.49 KN

= 0.72

= 3.49

Considering the equilibrium and taking Moments about point A.

h

32.19 KN

32.19 KN = 7.24 Kips

24

0.8 m = 2.62 ft

Moment transferred to ring, M =

M = 0.41 Kip ft = 0.562 KN m

27 Kips = 122.25 KN

PROPERTIES OF COMPRESSION RING (Corroded)

b1 = 200 1360 4624

h1 = 6.8 3400 850000

b2 = 6.8 1496 164560

h2 = 500 Location of Centroid ( See Fig)

b3 = 6.8 162.91 mm

h3 = 220 A

Moment of Inertia

3.4

250 12 12 12

110 I = 141451394.83

A = 6256 0.00626

Section Modulus = 419628.8 = 0

1340.28

Z

Allowable Bending Stress Fb = 0.6 Fy = 150000

19541.63

A

Allowable Compression Stress Fc = 0.5 Fy = 125000

0.17

Fb Fc

Wa = P

1 + P

2 =

g0 = g

r + g

2 KN/m

g3 = g

1 - g

2 KN/m

Ha = W

a x R

1 +(g

0 x R

1) R

1/2 + g

3 (R

1/2) ( R

1/3)

Ha =

Radial Load transferred to ring through stiffeners, Ha =

Number of Stiffeners Supported on central Ring, N2 =

Radius of central compression ring, R2 =

Ha R 2 ( cot 180 - N

2 ) =

2 N2 π

Thrust T = Ha Cot 180 = 2 N

2

Fig -3 : Central Compression Ring

A1= b

1h

1 = mm2 A

1y

1 = mm2

A2= b

2h

2 = mm2 A

2y

2 = mm2

A3= b

3h

3 = mm2 A

3y

3 = mm2

C = A 1y

1 + A

2y

2 +A

3y

3 =

y1= I = b

1h

1 3 + A

1 (C-y

1)2 +b

2 h

2 3 +A

2(C-y

2)2 + b

3 h

3 3 + A

3 (C-y

3)2

y2=

y3= mm4

mm2 = m2

Z = I / (h2 - C) = mm3 m3

fb = M = KN/m2

KN/m2

fc = T = KN/m2

KN/m2

f b + fc =

Page 11: Supported Cone Roof

As fb/Fb+fc/Fc<1 Ok

Page 12: Supported Cone Roof

Number of internal stiffeners N = 24Section used = (UPN 200)Corroded properties of Rafter

h = 197 mmbf = 72 mmtf = 8.3 mmtw = 5.3 mm

Area = 2151.32

I = 1.3E+07Span of stiffener, Ls = 6.03 m = 237.48 inch

Wt = 16.9 Kg/m (Wt of corroded section)

Total area of Section A = 2151.32Location od centroid from top yc = 98.50

Total moment of inertia I = 13239449.4

Section modulus Z = I/yc = 134410.65 8.20

From fig - 2, the moment at distance x from compression ring is obtained as follows.

where,

and gx = g3 X

R1

hx = 0.19 X gx = 0.5865 X

Ha = 32.19 KN

Wa = 0.49 KN

32.64 KN

Mx = 5.59 X - 0.359 0.0978

Therefore Mx = d 5.59 X - 0.717 0.293dx

d = 5.59 - 0.717 X - 0.293 = 0 for M=M maxdx

Solving above quadratic equation.

a = 0.293

b = 0.717

c = -5.595

X = 3.31 m and -5.8 m 25.45

M max = 11.04 KN-m = 97664.6 lbs-inch

Allowable Stresses

a) Bending stress shall be

Bending stress shall be greater of the Following

= 19994.77 psi

= 6034.79 psi

Fb=12000000Af/(ld)

Therefore Allowable Bending Stress Fb = 19994.77 psi

b) Compression

Fc = 0.5 Fy = 18129.71 psi

Induced Stresses

fb =Mmax/Z = 11907.1 psi

fc = Na/As = 2198.2 psi

Ratio of stresses induced to allowable stresses

0.717Fb Fc

As fb/Fb+fc/Fc<1 Ok

5.4) Design of Roof Rafters

mm2

mm4

mm2

mm

mm4

mm3 = in3

Mx = Ha hx -Wa X-go/2 X2 - gx/6 X2

hx = h X R

1

Na=Ha/Cosθ =

X 2 - X3

X 2 - X3

X 2

Fb=20000-0.571*(l/r)2

fb + fc =

Page 13: Supported Cone Roof

Minimum required curb angle

Used Curb Angle As per Fig. F2 Detail d = 120 x 120 x 10 API 650 Sec. 3.1.5.9

Curb Angle Area = 1218 (Corroded Area)Length of normal to roof from tank C.L. =

= 41,069 mm

Inside radius of tank, = 6,750 mm

Max. width of participating roof = Ref: API 650 Fig F-2

Thickness of roof plate (corroded) = 6.80 mm

= 158.54 mm

Max. width of participating shell =

Thickness of shell plate (corroded) = 2.80 mm

= 82.49 mm

Participating area of roof (corroded) =

1078

Participating area of shell (corroded) =

= 231

Total Area Provided =

= 2296

= API 650 App.F.5.1

= 295.30

Since, 2296 > 295Aprov. >Amin, Therefore used Curb Angle is satisfactory

Uplift on Tank as per F.1.2

Corroded Roof Thickness = 6.80 mm

D = 13.508 m

Area of tank =

= 143

Internal design pressure of tank = 0.747 kPa

Total upward lifting force acting on roof =

= 107 kN

Weight of roof (corroded) = 77.22 kN

107 > 77.22

Weight of shell, roof and attached framing = 224.75 kN

107 < 224.75

F.2 through F.5 are applicable

Internal design pressure is, P = API 650 F.4

= 2.85 kPa

Weight of shell and attached framing = 120.78 kN

Max. design pressure, limited by uplift at base of shell is; API 650 F.4.0

=

= 0.841 kPa

But, internal design pressure of tank is = 0.747 kPa

0.747 <= 0.841

Condition Satisified - Anchorage is not RequiredMin. Required Compression Area is Greater of the following As Per F.5.1

=

= 295.30

=

= 973.7Since, 1218 > 973.7

6) Compression Ring at Shell to Roof Joint

Ac mm2

R2 R

c / sin θ

R2

Rc

wh 0.3 x √ (R

2 x t

h)

th

wh

wc 0.6 x √ (R

c x t

s)

tc

wc

Ah

wh x t

h

mm2

As

wc x t

c

mm2

Aprov.

Ah + A

c

Aprov. mm2

Minimum required participating area, Amin. D2 (P

i-0.08t

h) / (1.1xTanθ)

Amin mm2

6.1) Tank Design As Per Appendix F

tR

Nominal dia. of tank (Di + Shell thick)

At π x R2

m2

Pi

FR

Pi x A

t

WR

D'L

(1.1 x A x tanθ) / D2 + 0.08 x tR

W'ST

= DLS

Pmax

0.00127 x DLS

/ D2 + 0.08 x tR - 0.00425 x M

w / D3

Pi

Amin.1 D2 x (P

i-0.08t

h)/1.1(tan θ)

mm2

Amin.2 D2 x [0.4P

i-0.08t

h+0.72(V/120)2]/1.1(tan θ)

mm2

Page 14: Supported Cone Roof

Used Curb Angle is satisfactory

Page 15: Supported Cone Roof

7)Stability of Tank Against Wind Load ( Ref: ASCE-7)

Wind velocity V = 154.0 Km/hr = 42.78 m/s

height of tank including roof height = 10.125 m = 33.21 ft.

effective wind gust factor G = 0.85

force coefficient Cf = 0.50

wind directionally factor Kd = 0.95

Velocity Pressure Exposure Co-Eff. Kz = 0.95

Topo Graphic Factor Kzt = 1.0

Importance Factor I = 1.15

Design Wind Pressure qz =

1.164

Design Wind Load = qz x Do x G x Cf x Ht67.711 KN

=2

342.78 KN-m = 252746.5 ft-lbs

Resisting Moment Resisting Moment =

3 2

Ws' = total weight of tank shell + Curb Angle = = 120.785 KN Wr' = total weight of tank roof = 101.203 KN (Including Rafters)

Mr = 517.567 KN-m

As Mr > Mw Anchorage is Not Required

7.1)Resistance To Sliding ( Ref: API 650 3.11.4)

The wind load\ pressure on projected area of cylindrical surfaces = 0.86 18.0 psf

This pressure is for wind velocity of 100 mph (160 Km/hr) For all other wind velocities

= 13.516 m Design Wind Velocity V = 154 Km/hr

= 0.926 (Vf=Velocity Factor)

= 0.86

Wind Pressure on vertical conical surfaces = 0.72

Projected area of roof = 7.601

Projected area of shell = 121.64

= Vf(Wind Pressure on Roof X Projected Area of Roof + Wind Pressure on Shell X Projected Area of Shell)= 101.985 KN

= Maximum of 40% of Weight of Tank

= 109.702 KN

Ffriction>Fwind No Anchorage Is Required To Resist Sliding

Ht

0.613 x Kz x Kzt x Kd x V2 x I/1000

KN/m2

P1

Overturning Wind Moment Mw P

1 x H

t

Mr = 2 D (Ws' + Wr'-Uplift due to Design Pressure )

KN/m2 =

the pressure shall be adjusted in proportion of ratio (V/160)2

O.D of tank = D0

(Ve/160)2

Wind Pressure on vertical plane surfaces KN/m2

KN/m2

m2

m2

Fwind

Ffriction

Page 16: Supported Cone Roof

The self weight of roof and live load will be transferred to tank shell

Live load transferred to foundation

1.2

Area of Roof, Ar = 147.46

176.95 KNCircumference of Tank C = 42.5 m

4.2 KN/m

Dead load transferred to foundation

Self Weight of Roof Wr = 153.41 KN (Including Rafter & Compression Ring)Self Weight of Shell Ws = 206.80 KNSelf Weight of shell Attachments Wa = 15.00 KN (Including Curb Angle & Inter. Wind Girder)

Total Dead Load acting on shell WD = 375.20 KN (Including Platform Weight)Dead Load Transferred to Foundation Wd = WD / C 8.84 KN/m

Operating & Hydrostatic Test Loads

Self Weight of Tank = 487.34 KN Uniform Load Operating Condition = Self wt.+ fluid =Weight of Fluid in Tank at Operating Conditions = Wf = 12715 KN Uniform Load Hydrotest Condition = Self wt.+ water=Weight of Water in Tank at Hydrotest Conditions = Ww = 12638 KN

Uniform Load at Operating Condition = Self Wt. + Fluid 92.12

Uniform Load at Hydrotest Condition = Self Wt. + Water 91.59

Wind Load Transferred to Foundation

Base Shear due to wind load, Fw = 70.3 KNReaction due to wind load, Rw = 0.6 KN/mMoment due to wind load, Mw = 342.8 KN-m

8) Foundation Loading Data

Live Load on roof, Lr = KN/m2

m2

Total Live Load, WL = L

r x A

r

π x D

Live Load transferred to Foundation wL = W

L / C

Wo = KN/m2

Wh = KN/m2

Page 17: Supported Cone Roof

Summary of Foundation Loading Data

Dead load, shell, roof & ext. structure loads 8.84 KN/m

Live Load 4.17 KN/m

Uniform load, operating condition 92.12

Uniform load, hydrotest load 91.59

Base shear due to wind 70.32 KN

Reaction due to wind 0.60 KN/m

Moment due to wind load 342.78 KN-m

Note: 15% to 20% Variation will be consider while designing the Foundation.

Summary of Tank Major Parts Thickness and Weight

Item Plate Thickness (mm) Weight (Kgs)

Shell Plate8.00 13,3256.00 7,755

Bottom Plate 10.00 11,430Roof Plate 10.00 11,694

Roof Rafter & Compression Ring - 3,944

Tank Capacity Calculations: As per API 650 App. L

I.

4Where: Di = 13.500 m

H = 9.000 m

1288 = 45,459

II.

4

8.560 m LL = 6.97 m

228.31 = 8,056

DL =

LL =

Wo = KN/m2

Wh= KN/m2

Fw =

Rw =

Mw=

Nominal Capacity, Qmax.

Qmax

. = π x Di2 x Hm3

Qmax

. = m3 ft3

Net Working Capacity, Qnet

Qnet

. = π x Di 2 x (H1-LL)

m3

Where: H1 =

Qnet

. = m3 ft3

Page 18: Supported Cone Roof

Bolt Connection Stress Analysis

= 2.24 Mpa ( Refer to 5.3. Design of Compression Ring)

Radial Load transferred to the end of the rafter

Hr =

Where;D = Tank Diameter = 13.5 m

Number of Rafter = 24Ls = Length of Rafter = 6.03 m

Hr = 2.22 KN/m

By applying this load on the rafterMax. Shear Force Induce,P = 6.12 KN (from STAAD result)

Now, calculating the Shear Stress for 3/4"-10 x 1- 1/2" Hex. Head Bolt, A193-B7.

F = P/A

Where;

A = Bolt Shear Area =

A = 0.334 215.48

But there are two bolts in this connection, therefore, A = 430.97

Induced Shear Stress on Bolt14.20 Mpa

As per ASTM 193Min. Tensile Strength, Fu = 485 Mpa (Ref. ASTM A193 Table 3)

Allowable Stress;Shear Stress ( Ref. Table I-D AISC Allowable Stress Design, 9th Edition)

Fv = 0.17 FuFv = 82.45 Mpa > Induced Stress

Ultimate Dead Load on the roof including Live Load + Self Weight of Roof + Weight of Accessories, g

gu = L

r + D

r

gu x πD2

4Ls*N2

N2 =

0.7854 ( D-(0.9743/n))2

in2 = mm2

mm2

F =

Page 19: Supported Cone Roof

Allowable Stress of Bolt is greater than the required maximum stress for the connection.Therefore, the provided Bolt is SAFE and ADEQUATE.

Page 20: Supported Cone Roof

( Refer to 5.3. Design of Compression Ring)

( Ref. Table I-D AISC Allowable Stress Design, 9th Edition)

Ultimate Dead Load on the roof including Live Load + Self Weight of Roof + Weight of Accessories, gu

Page 21: Supported Cone Roof