Effective Area of Roof Plates Formula

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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. Check FAQs
Ar=0.75tr(RRtr)0.5
Ar - Effective Area of Roof Plates?tr - Roof Plate Thickness?RR - Radius of Curvature of Roof?

Effective Area of Roof Plates Example

With values
With units
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Here is how the Effective Area of Roof Plates equation looks like with Values.

Here is how the Effective Area of Roof Plates equation looks like with Units.

Here is how the Effective Area of Roof Plates equation looks like.

2948.5233Edit=0.7565.5Edit(55Edit65.5Edit)0.5
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Effective Area of Roof Plates Solution

Follow our step by step solution on how to calculate Effective Area of Roof Plates?

FIRST Step Consider the formula
Ar=0.75tr(RRtr)0.5
Next Step Substitute values of Variables
Ar=0.7565.5mm(55mm65.5mm)0.5
Next Step Convert Units
Ar=0.750.0655m(0.055m0.0655m)0.5
Next Step Prepare to Evaluate
Ar=0.750.0655(0.0550.0655)0.5
Next Step Evaluate
Ar=0.00294852325988155
Next Step Convert to Output's Unit
Ar=2948.52325988155mm²
LAST Step Rounding Answer
Ar=2948.5233mm²

Effective Area of Roof Plates Formula Elements

Variables
Effective Area of Roof Plates
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.
Symbol: Ar
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Roof Plate Thickness
Roof Plate Thickness is a measure of the thickness of the material that makes up the roof of a tank or other vessel.
Symbol: tr
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Radius of Curvature of Roof
Radius of Curvature of Roof refers to the radius of the curve or bend in the roof.
Symbol: RR
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Design of Shell category

​Go Circumferential Length of Plate
Clength=(πD)-(Wn)
​Go Number of Layers
N=Hw
​Go Pressure at Bottom of Tank
phydrostatic=10ρ(H-0.3)
​Go Minimum Thickness of Shell at Bottom
tminimum=(phydrostaticD2fJ)+c

How to Evaluate Effective Area of Roof Plates?

Effective Area of Roof Plates evaluator uses Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5 to evaluate 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 Ar symbol.

How to evaluate Effective Area of Roof Plates using this online evaluator? To use this online evaluator for Effective Area of Roof Plates, enter Roof Plate Thickness (tr) & Radius of Curvature of Roof (RR) and hit the calculate button.

FAQs on Effective Area of Roof Plates

What is the formula to find Effective Area of Roof Plates?
The formula of Effective Area of Roof Plates is expressed as Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5. Here is an example- 2.9E+9 = 0.75*0.0655*(0.055*0.0655)^0.5.
How to calculate Effective Area of Roof Plates?
With Roof Plate Thickness (tr) & Radius of Curvature of Roof (RR) we can find Effective Area of Roof Plates using the formula - Effective Area of Roof Plates = 0.75*Roof Plate Thickness*(Radius of Curvature of Roof*Roof Plate Thickness)^0.5.
Can the Effective Area of Roof Plates be negative?
No, the Effective Area of Roof Plates, measured in Area cannot be negative.
Which unit is used to measure Effective Area of Roof Plates?
Effective Area of Roof Plates is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Effective Area of Roof Plates can be measured.
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