Minimum Area by Base Plate Calculator

✖Axial Compressive Load on Column is a type of force that is applied along the axis, or central line, of a structural element such as a column.ⓘ Axial Compressive Load on Column [P_Column]			+10% -10%
✖Permissible Bearing Strength of Concrete Foundation is the maximum pressure or load that a soil or rock foundation can safely support without causing excessive settlement or deformation.ⓘ Permissible Bearing Strength of Concrete [f_c]			+10% -10%

✖Minimum Area provided by Base Plate typically refers to the smallest possible area that can be occupied or used for a particular purpose.ⓘ Minimum Area by Base Plate [A_p]

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Formula

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Minimum Area by Base Plate

Formula

`"A"_{"p"} = "P"_{"Column"}/"f"_{"c"}`

Example

`"1468.421mm²"="5580N"/"3.8N/mm²"`

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Minimum Area by Base Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete
A_p = P_Column/f_c
This formula uses 3 Variables

Variables Used

Minimum Area provided by Base Plate - (Measured in Square Millimeter) - Minimum Area provided by Base Plate typically refers to the smallest possible area that can be occupied or used for a particular purpose.
Axial Compressive Load on Column - (Measured in Newton) - Axial Compressive Load on Column is a type of force that is applied along the axis, or central line, of a structural element such as a column.
Permissible Bearing Strength of Concrete - (Measured in Newton per Square Millimeter) - Permissible Bearing Strength of Concrete Foundation is the maximum pressure or load that a soil or rock foundation can safely support without causing excessive settlement or deformation.

STEP 1: Convert Input(s) to Base Unit

Axial Compressive Load on Column: 5580 Newton --> 5580 Newton No Conversion Required
Permissible Bearing Strength of Concrete: 3.8 Newton per Square Millimeter --> 3.8 Newton per Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_p = P_Column/f_c --> 5580/3.8

Evaluating ... ...

A_p = 1468.42105263158

STEP 3: Convert Result to Output's Unit

0.00146842105263158 Square Meter -->1468.42105263158 Square Millimeter (Check conversion here)

FINAL ANSWER

1468.42105263158 ≈ 1468.421 Square Millimeter <-- Minimum Area provided by Base Plate

(Calculation completed in 00.004 seconds)

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< 14 Lug or Bracket Support Calculators

Maximum Combined Stress on Long Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))*(1+(1/7500)*(Column Effective Length/Radius of Gyration of Column)^(2))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Maximum Compressive Load acting on Bracket

Go Maximum Compressive Load on Remote Bracket = ((4*(Total Wind Force acting on Vessel))*(Height of Vessel above Foundation-Clearance between Vessel Bottom and Foundation))/(Number of Brackets*Diameter of Anchor Bolt Circle)+(Total Weight of Vessel/Number of Brackets)

Thickness of Horizontal Plate Fixed at Edges

Go Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5)

Maximum Combined Stress on Short Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Minimum Thickness of Base Plate

Go Minimum Thickness of Base Plate = ((3*Pressure Intensity on Under Side of Base Plate/Permissible Bending Stress in Base Plate Material)*((Greater Projection of Plate beyond Column)^(2)-((Lesser Projection of Plate beyond Column)^(2)/4)))^(0.5)

Thickness of Gusset Plate

Go Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle))

Bending Stress in Column due to Wind Load

Go Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Vessel Support

Maximum Compressive Stress Parallel to Edge of Gusset Plate

Go Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle))

Pressure Intensity on under side of Base Plate

Go Pressure Intensity on Under Side of Base Plate = Axial Compressive Load on Column/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Maximum Pressure on Horizontal Plate

Go Maximum Pressure on Horizontal Plate = Maximum Compressive Load on Remote Bracket/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Axial Bending Stress in Vessel Wall for Unit Width

Go Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2)

Minimum Area by Base Plate

Go Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete

Maximum Compressive Stress

Go Maximum Compressive Stress = Stress due to Bending Moment+Compressive Stress due to Force

Maximum Compressive Load on Remote Bracket due to Dead Load

Go Maximum Compressive Load on Remote Bracket = Total Weight of Vessel/Number of Brackets

Minimum Area by Base Plate Formula

Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete
A_p = P_Column/f_c

What is Design Load?

Design load refers to the maximum expected or intended load that a structure or component must be capable of withstanding safely and without failure. It is a crucial factor in engineering and design, as it determines the strength and durability of a structure. Design loads are typically determined by considering various factors such as the weight and distribution of the loads that the structure or component is likely to experience during its intended use, as well as any environmental factors such as wind, earthquakes.

How to Calculate Minimum Area by Base Plate?

Minimum Area by Base Plate calculator uses Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete to calculate the Minimum Area provided by Base Plate, Minimum Area by Base Plate refers to the minimum area required for the base plate of a structural column or any other type of vertical member to prevent excessive bearing stress on the supporting surface or foundation. Minimum Area provided by Base Plate is denoted by A_p symbol.

How to calculate Minimum Area by Base Plate using this online calculator? To use this online calculator for Minimum Area by Base Plate, enter Axial Compressive Load on Column (P_Column) & Permissible Bearing Strength of Concrete (f_c) and hit the calculate button. Here is how the Minimum Area by Base Plate calculation can be explained with given input values -> 1.5E+9 = 5580/3800000.

FAQ

What is Minimum Area by Base Plate?

Minimum Area by Base Plate refers to the minimum area required for the base plate of a structural column or any other type of vertical member to prevent excessive bearing stress on the supporting surface or foundation and is represented as A_p = P_Column/f_c or Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete. Axial Compressive Load on Column is a type of force that is applied along the axis, or central line, of a structural element such as a column & Permissible Bearing Strength of Concrete Foundation is the maximum pressure or load that a soil or rock foundation can safely support without causing excessive settlement or deformation.

How to calculate Minimum Area by Base Plate?

Minimum Area by Base Plate refers to the minimum area required for the base plate of a structural column or any other type of vertical member to prevent excessive bearing stress on the supporting surface or foundation is calculated using Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete. To calculate Minimum Area by Base Plate, you need Axial Compressive Load on Column (P_Column) & Permissible Bearing Strength of Concrete (f_c). With our tool, you need to enter the respective value for Axial Compressive Load on Column & Permissible Bearing Strength of Concrete 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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