Rectangular Tank Calculation

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RECTANGULAR TANK DESIGN CALCULATION REPORT

rev. 0 8/5/2010

TANK PROPERTIES Tank dimensions:

Lenght: Width: Height:

mm 2750 3000 2500

Effective capacity: With cover plate?

Tank volume: in 108.2677 118.1102 98.4252

Liquid weight:

Stress value: Elasticity Modulus: Corrosion allowance:

Density of the liquid: Liquid Specific gravity:

11802 kg 11.80 ton

67.88% Yes

Seam:

Material properties of plates: Material:

14.000 m³ 20.625 m³

effective: total:

33m

Material properties of stiffenings: A36 250 36259 200 29007 1.6 0.0630

MPa psi GPa kpsi mm in

843 kg/m³ 0.843

Material: Stress value: Elasticity Modulus:

Cover plate thickness:

A36 250 36259 200 29007

mm 4.7625

MPa psi GPa kpsi

in 3/16

RECTANGULAR TANK DESIGN CALCULATION REPORT

rev. 0 8/5/2010

BOTTOM PLATE AND I BEAM DESIGN N° of bottom plate beams

Actual bottom plate thickness:

4 mm 9.5250

in 3/8

Distance between beams: Minimum bottom plate thickness: Safety factor

mm 966.00 8.59

in 38.0315 0.3383 1.86

ACTUAL PLATE THICKNESS>REQUIRED PLATE THICKNESS BOTTOM PLATE THICKNESS SATISFACTORY Material properties of I Beams: Material:

I beams minimum required moment of inertia: 1499.59 cm^4 A36 Actual moment of inertia:

Stress value: Elasticity Modulus:

250 36259 200 29007

Maximum deflection (1st attempt): *sugestion 2.75 mm Liquid weight: Bottom plate weight: Cover plate weight: Total force/beam: Uniform load on each beam:

MPa psi GPa kpsi

I BEAM TYPE: Actual height of beam: Width of beam: 2.75 mm

11802 617 308 30458 11

kg kg kg N N/mm

Maximum deflection Maximum stress Safety factor

1686 cm^4 W 200 x 19,3 203 mm 102 mm 2.45 mm 63.030 MPa 3.97

MAXIMUM STRESSREQUIRED PLATE THICKNESS SIDE PLATE THICKNESS SATISFACTORY Stiffening Frame: Load per unit of lenght: Reaction R1: Reaction R2:

lb/in 147.00 44.100 102.899

Minimum required moment of inertia:

Top edge stiffening: Actual moment of inertia:

kg/mm 2.63 0.79 1.84 3.0818 in^4 128 cm^4 cm^4 154

ANGLE TYPE: Height/Width of beam Beam thickness

in^4 3.6999

ACTUAL STIFFENING Ixx>REQUIRED STIFFENING Ixx TOP EDGE STIFFENING SATISFACTORY

4 '' x 12,19 101.6 mm 7.94 mm

RECTANGULAR TANK DESIGN CALCULATION REPORT

rev. 0 8/5/2010

VERTICAL STIFFENING DESIGN

Ratio H/l

From table x-x Constant beta 0.38000

2.50

N° of vertical stiffenings:

Actual plates thickness:

Constant alfa

2 mm 7.9375

Distance between stiffenings: Required plate thickness: Safety factor:

in 5/16

0.07000 mm in 1000.00 39.3701 7.20 0.2833 2.01

ACTUAL PLATE THICKNESS>REQUIRED PLATE THICKNESS SIDE PLATE THICKNESS SATISFACTORY Stiffening Frame properties: Load per unit of lenght: Reaction R1: Reaction R2: Vertical stiffening: Required section modulus: Actual section modulus:

lb/in 146.998 44.100 102.899 cm³ 33 33.4

Top-edge stiffening: Minimum required moment of inertia: Actual moment of inertia:

kg/mm 2.63 0.79 1.84

Vertical stiffening: ANGLE TYPE: 5 '' x 15,31 Height/Width of beam: 127 mm Beam thickness: 7.94 mm ACTUAL STIFFENING Zxx>REQUIRED STIFFENING Zxx VERTICAL STIFFENING SATISFACTORY

in³ 2.0171 2.0382 cm^4 205 208

in^4 4.9309 4.9972

Top-edge stiffening: ANGLE TYPE: 4 '' x 16,8 Height/Width of beam: 101.6 mm Beam thickness: 11.11 mm ACTUAL STIFFENING Ixx>REQUIRED STIFFENING Ixx TOP EDGE STIFFENING SATISFACTORY

RECTANGULAR TANK DESIGN CALCULATION REPORT

rev. 0 8/5/2010

HORIZONTAL STIFFENING DESIGN Spacing of Stiffenings: Larger height H1: Smaller height H2:

mm 1500 1000

Safety factor

in 59.0551 39.3701

Required plate thickness: Actual plates thickness:

mm 8.41 9.525

in 0.3310 3/8

1.96 ACTUAL PLATE THICKNESS>REQUIRED PLATE THICKNESS SIDE PLATE THICKNESS SATISFACTORY

Stiffening Frame Properties: Load per unit of lenght: Reaction R1: Reaction R2: Reaction R3:

lb/in 147.00 8.820 44.100 94.079

kg/mm 2.63 0.16 0.79 1.68

Top-edge stiffening: ANGLE TYPE: 2 1/2'' x 7,44 Height/Width of beam: 63.5 mm Beam thickness: 7.94 mm ACTUAL STIFFENING Ixx>REQUIRED STIFFENING Ixx TOP EDGE STIFFENING SATISFACTORY

Top-edge stiffening: Minimum required moment of inertia: Actual moment of inertia:

cm^4 34 35

in^4 0.8218 0.8409

Intermediate stiffening: Minimum required moment of inertia: Actual moment of inertia:

cm^4 171 183

in^4 4.1091 4.3966

Intermediate stiffening: ANGLE TYPE: 4 '' x 14,57 Height/Width of beam: 101.6 mm Beam thickness: 9.5 mm ACTUAL STIFFENING Ixx>REQUIRED STIFFENING Ixx INTERMEDIATE STIFFENING SATISFACTORY

RECTANGULAR TANK DESIGN CALCULATION REPORT

rev. 0 8/5/2010

TIE ROD DESIGN Number of tie rod columns: 2 Distance between top line and tie rod first row h1*: Distance between side line and tie rod last column:

Vertical pitch**: Horizontal pitch:

mm 1000 1000

in 39.3701 39.3701

mm 750 1000

1000 mm --->

in 0.2723 5/16

lb 3240.910 1388.961

Tie Rod Row 2 Req. cross sectional area: Tie Rod Row 1 Req. cross sectional area:

in 68.8976 29.5276

Tie Rods Material:

mm 10.17 7.21

A36

in 0.4003 0.2838

Row 2: mm in Actual Rods diameter: 11.1125 7/16 Safety factor 1.68 ACTUAL ROD DIAMETER>REQUIRED ROD DIAMETER ROD DIAMETER SATISFACTORY

kg 1470.05 630.02 in² 0.0894 0.0383

*sugestion

Required row 2 rods diameter: Required row 1 rods diameter:

Required plate thickness: Actual plate thickness: Safety factor 2.23 ACTUAL PLATE THICKNESS>REQUIRED PLATE THICKNESS SIDE PLATE THICKNESS SATISFACTORY

Load on tie rod on row 2: Load on tie rod on row 1:

750 mm --->

**sugestion mm 1750 750

Distance between top line and tie rod second row h2: Distance between tie rod second row and bottom line: mm 6.92 7.9375

in 29.5276 39.3701

mm² 57.6655 24.7138

Row 1: mm in Actual Rods diameter: 7.9375 5/16 Safety factor 2.00 ACTUAL ROD DIAMETER>REQUIRED ROD DIAMETER ROD DIAMETER SATISFACTORY

RECTANGULAR TANK DESIGN CALCULATION REPORT DESIGN SUMMARY TAG NUMBER: Tank type Tie Rods *Covered Corrosion Allowance: 1.6 mm Dimensions: 2750 x 3000 x 2500 H Material: Plates: A36 Internals: A36 External Stiffeners: I Beams: A36

I Beam type: W 200 x 19,3 (safety factor: 3.97) A36

Thickness of: Bottom plate: Cover plate: Side plates:

Stifenners angle type: Top-edge: Intermediate: Vertical: Nº of vertical stiffeners:

Tie Rods: Row 2 diameter: Row 1 diameter: -

9.525 mm 4.7625 mm 7.9375 mm

(safety factor: 1.86)

11.1125 mm 7.9375 mm

(safety factor: 1.68) (safety factor: 2.00)

(safety factor: 2.23)

rev. 0 8/5/2010

H/L constante beta

H/L constante alfa

0.25 0.024

0.286 0.031

0.333 0.041

0.4 0.056

0.5 0.08

0.667 0.116

1 0.16

1.5 0.26

0.25 0.00027

0.286 0.00046

0.333 0.00083

0.4 0.0016

0.5 0.0035

0.667 0.0083

1 0.022

1.5 0.043

H/L índice 1 índice 2 beta alfa

0.833333 6 7 0.137978 0.015143

H/l índice 1 índice 2 beta alfa

2.5 10 11 0.38 0.07

0.667 1

0.116 0.16

0.0083 0.022

2.5 3

0.38 0.43

0.07 0.078

b h B1 B2 teta

2.2 0.387919 0.587919 0.2 10

Aact Areq L Li B2

0.866711 3.03349 1.857143 6.5 2412.081 mm 2233.939 mm 200 mm

2 0.34

2.5 0.38

3 0.43

3.5 0.47

4 0.49

2 0.06

2.5 0.07

3 0.078

3.5 0.086

4 0.091

B1

23.21651

587.9194 mm