Effective Area of Roof Plates Calculator

✖Roof Plate Thickness is a measure of the thickness of the material that makes up the roof of a tank or other vessel.ⓘ Roof Plate Thickness [t_r]			+10% -10%
✖Radius of Curvature of Roof refers to the radius of the curve or bend in the roof.ⓘ Radius of Curvature of Roof [R_R]			+10% -10%

✖Effective Area of Roof Plates is used in the calculation of the loads that the plate can support and in the design of the structural elements that support the plate.ⓘ Effective Area of Roof Plates [A_r]

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Formula

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Effective Area of Roof Plates

Formula

`"A"_{"r"} = 0.75*"t"_{"r"}*("R"_{"R"}*"t"_{"r"})^0.5`

Example

`"2948.523mm²"=0.75*"65.5mm"*("55mm"*"65.5mm")^0.5`

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Effective Area of Roof Plates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5
A_r = 0.75*t_r*(R_R*t_r)^0.5
This formula uses 3 Variables

Variables Used

Effective Area of Roof Plates - (Measured in Square Meter) - Effective Area of Roof Plates is used in the calculation of the loads that the plate can support and in the design of the structural elements that support the plate.
Roof Plate Thickness - (Measured in Meter) - Roof Plate Thickness is a measure of the thickness of the material that makes up the roof of a tank or other vessel.
Radius of Curvature of Roof - (Measured in Meter) - Radius of Curvature of Roof refers to the radius of the curve or bend in the roof.

STEP 1: Convert Input(s) to Base Unit

Roof Plate Thickness: 65.5 Millimeter --> 0.0655 Meter (Check conversion here)
Radius of Curvature of Roof: 55 Millimeter --> 0.055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_r = 0.75*t_r*(R_R*t_r)^0.5 --> 0.75*0.0655*(0.055*0.0655)^0.5

Evaluating ... ...

A_r = 0.00294852325988155

STEP 3: Convert Result to Output's Unit

0.00294852325988155 Square Meter -->2948.52325988155 Square Millimeter (Check conversion here)

FINAL ANSWER

2948.52325988155 ≈ 2948.523 Square Millimeter <-- Effective Area of Roof Plates

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Storage Vessels » Design of Shell » Effective Area of Roof Plates

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< 15 Design of Shell Calculators

Maximum Deflection of Corroded Plate Thickness

Go Deflection = (Constant for Maximum Deflection*Hydrostatic Pressure*Longer Side of the Tank^(4))/(Modulus of Elasticity Jacketed Reaction Vessel*(Plate Thickness-Corrosion Allowance)^(3))

Minimum Thickness of Shell at Bottom

Go Minimum Thickness of Shell = ((Hydrostatic Pressure*Nominal Tank Diameter)/(2*Allowable Stress*Joint Efficiency for Shell))+Corrosion Allowance

Minimum required Total Plate Thickness

Go Thickness Corroded Plate = ((Constant of Scaled Distance*Pressure Corroded Plate*(Length Corroded Plate^2))/(Maximum Allowable Bending Stress))^0.5

Circumferential Length of Plate

Go Circumferential Length of the Plate = (pi*Nominal Tank Diameter)-(Weld Allowance*Number of Plates)

Effective Area of Roof Plates

Go Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5

Effective Area of Shell Plates

Go Effective Area of Shell Plates = 1.5*Shell Plate Thickness*(Radius of Storage Tank*Shell Plate Thickness)^0.5

Total Area at Roof Load

Go Total Area at Roof Load = Area of the Curb Angle+Effective Area of Shell Plates+Effective Area of Roof Plates

Minimum Width of Annular Plate

Go Minimum Width of Annular Plate = Total Extension+300+Height of Tank+Length of Lap Weld

Total Shell Plates required

Go Total Shell Plates Required = Number of Layers*Plates required for Each Layers

Pressure at Bottom of Tank

Go Hydrostatic Pressure = 10*Density of Liquid Stored*(Height of Tank-0.3)

Maximum Liquid Pressure on Tank Walls

Go Pressure Corroded Plate = Density of Liquid Stored*Height of Tank

Height of Tank given Maximum Pressure

Go Height of Tank = Pressure Corroded Plate/Density of Liquid Stored

Section Modulus of Wind Girder

Go Section Modulus = 0.059*Diameter of Tank^(2)*Height of Tank

Circumference of Bottom Plate

Go Circumference of Bottom Plate = pi*Bottom Plate Diameter

Number of Layers

Go Number of Layers = Height of Tank/Width of Plate

Effective Area of Roof Plates Formula

Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5
A_r = 0.75*t_r*(R_R*t_r)^0.5

What is Area?

Area is the size of a two-dimensional region. It is defined as the amount of space that is enclosed within a flat shape or figure. The area of a shape is typically measured in square units, such as square inches, square feet, or square meters. There are many different formulas for finding the area of various shapes, including triangles, parallelograms, and other polygons. Knowing how to calculate the area of different shapes is useful in many real-world applications, such as in construction, landscaping, and interior design.

How to Calculate Effective Area of Roof Plates?

Effective Area of Roof Plates calculator uses Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5 to calculate the Effective Area of Roof Plates, The Effective Area of Roof Plates formula is used in the calculation of the loads that the plate can support and in the design of the structural elements that support the plate. It is important to accurately determine the effective area of a roof plate in order to ensure that the roof structure is able to safely support the intended loads. Effective Area of Roof Plates is denoted by A_r symbol.

How to calculate Effective Area of Roof Plates using this online calculator? To use this online calculator for Effective Area of Roof Plates, enter Roof Plate Thickness (t_r) & Radius of Curvature of Roof (R_R) and hit the calculate button. Here is how the Effective Area of Roof Plates calculation can be explained with given input values -> 2.9E+9 = 0.75*0.0655*(0.055*0.0655)^0.5.

FAQ

What is Effective Area of Roof Plates?

The Effective Area of Roof Plates formula is used in the calculation of the loads that the plate can support and in the design of the structural elements that support the plate. It is important to accurately determine the effective area of a roof plate in order to ensure that the roof structure is able to safely support the intended loads and is represented as A_r = 0.75*t_r*(R_R*t_r)^0.5 or Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5. Roof Plate Thickness is a measure of the thickness of the material that makes up the roof of a tank or other vessel & Radius of Curvature of Roof refers to the radius of the curve or bend in the roof.

How to calculate Effective Area of Roof Plates?

The Effective Area of Roof Plates formula is used in the calculation of the loads that the plate can support and in the design of the structural elements that support the plate. It is important to accurately determine the effective area of a roof plate in order to ensure that the roof structure is able to safely support the intended loads is calculated using Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5. To calculate Effective Area of Roof Plates, you need Roof Plate Thickness (t_r) & Radius of Curvature of Roof (R_R). With our tool, you need to enter the respective value for Roof Plate Thickness & Radius of Curvature of Roof and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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