Rectangular Tank Calculation

http://documents.mx/documents/rectangular-tank-sizing.html Page 1 of 14 Rectangular tank sizing Calculation Objectives - To calculate the thickness of tank plates - To determine the size of stiffening frame for tank - To determine dry and test weights Assumptions - Specific gravity of liquid is 1 - Acceleration due to gravity is 9.81 m/s - Density of steel is 7850 kg/m - Minimum Distance between stiffeners = 1.05m References 1. UL-142, Steel Aboveground Tanks for flammable and combustible liquids, Underwriters Laboratories Inc. 2 Publishing Inc. 3 Corus Construction and IndustrialStructural Sections to BS 4: Part 1:1993 & BS EN 10056:1999 4 ASME Boiler and Pressure Vessel Code Section II subpart D 5 Trauvay and Cauvin (2001), Piping Equipment 6 7th ed., McGraw-Hill. 2002 7 ASME B31.10M - 2000: Welded and Seamless Wrought Steel Pipe 8 ASME B.16.5 - 2009: Pipe Flanges and Flanged Fittings Notes 1 A total of 10 Stiffeners were used based on a spacing of 1.05 m on the long sides (3 stiffeners on each longer side; and 2 stiffeners on each shorter side) 2 Sump Pump weight was not included in calculations 3 Weights are calculated weights. Final weights to be advised by vendor Weight calulation does not include weir. Acceleration due to gravity is 9.81 m/s 2 3 Eugene F. Megyesy, Pressure Vessels Handbook, Pressure Vessels Young, W. C. & Budynas, R. G. (2002) Roark's Formulas for Stress and Strain Page 2 of 14

on the long orter side)

Definition of Terms - a Length of top plate - b Width of top plate - CA Corossion Allowance - E Modulus of Elasticity - g Gravitational acceleration - H Height of tank - Minimum Moment of inertia of top edge stiffening - L Length of tank l Spacing between vertical stiffeners - Spacing of bottom plate support - R Reaction at top edge - r Radius of contact of heaviest dead weight on top tank - S Allowable stress of tank material - t Required thickness - Selected thickness - w Load - W Heaviest Dead weight on top plate - Minimum Section Modulus of vertical stiffener - α Factor Depending on ratio of Length to Width of top plate a/b - β Factor Depending on ratio of Height to Length H/L Density of tank material ρ Density of liquid in tank ν Poisson ratio of tank material CSA Cross-Sectional Area

Page 5 of 14 Equipment Tag No. ABH 8000 Project No. 1216 No. of equipments 1 DESIGN DATA Tank Material SA-516 Gr. 60 Modulus of Elasticity E = 203.4E+09 Allowable Stress S = 117.9E+06 Density of tank material = 7850 Tank Dimensions: Length L = 4.2 m Width W = 3 m Height H = 2.4 m Type of Liquid Water Specific Gravity = 1 Density of liquid ρ = 1000 Acceleration due to gravity g 9.81 No. of vertical stiffeners one side = 3 Maximum Distance between Stiffners l = 1.05 m Corrosion Allowance CA = 3 mm Height/length ratio (H/L) = 0.5714 Factor for H/L β = 0.095 (See Appendix) 2 SIDE PLATE THICKNESS Required Plate Thickness = 0.004573343 m = 4.57 mm Thickness + Corossion Allowance = 7.57 mm Selected Plate thickness = 8 mm 3 LOAD = 28252.8 N/m = 28.25 N/mm 4 VERTICAL STIFFENING Minimum Section Modulus 77.538 An equal angle L-section of dimensions 150 x 150 x 15 (section modulus = 83.5 frame is satisfactory for vertical stiffening Total no. of vertical stiffeners = 10 (Note 1) N/m 2N/m2 N/m 2N/m2 ρ pρp kg/m 3kg/m3 kg/m

3kg/m3 m/s 2m/s2 t s cm 3 cm 3 )