Area Required by Base Plate Calculator

✖Column Load is the total vertical force or weight that a column in a structure is designed to support. This includes the self-weight and weight from other parts of the structure.ⓘ Column Load [C_l]			+10% -10%
✖Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations.ⓘ Specified Compressive Strength of Concrete [f_c']			+10% -10%

✖Area required by Bearing Plate is the space occupied by the bearing plate on concrete.ⓘ Area Required by Base Plate [A₁]

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Formula

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Area Required by Base Plate

Formula

`"A"_{"1"} = "C"_{"l"}/(0.7*"f"_{"c'"})`

Example

`"23979.59mm²"="470kN"/(0.7*"28MPa")`

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Download Base and Bearing Plates Formulas PDF

Area Required by Base Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete)
A₁ = C_l/(0.7*f_c')
This formula uses 3 Variables

Variables Used

Area required by Bearing Plate - (Measured in Square Meter) - Area required by Bearing Plate is the space occupied by the bearing plate on concrete.
Column Load - (Measured in Newton) - Column Load is the total vertical force or weight that a column in a structure is designed to support. This includes the self-weight and weight from other parts of the structure.
Specified Compressive Strength of Concrete - (Measured in Pascal) - Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations.

STEP 1: Convert Input(s) to Base Unit

Column Load: 470 Kilonewton --> 470000 Newton (Check conversion here)
Specified Compressive Strength of Concrete: 28 Megapascal --> 28000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₁ = C_l/(0.7*f_c') --> 470000/(0.7*28000000)

Evaluating ... ...

A₁ = 0.0239795918367347

STEP 3: Convert Result to Output's Unit

0.0239795918367347 Square Meter -->23979.5918367347 Square Millimeter (Check conversion here)

FINAL ANSWER

23979.5918367347 ≈ 23979.59 Square Millimeter <-- Area required by Bearing Plate

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Base and Bearing Plates » Column Base Plates » Area Required by Base Plate

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Column Base Plates Calculators

Thickness of Plate for H shaped Column

Go Minimum Plate Thickness = Flange Thickness of H Shaped Columns*sqrt((3*Actual Bearing Pressure)/Allowable Bending Stress)

Plate Length

Go Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate)))

Column Flange Width given Plate Length

Go Width of Plate = (0.95*Column Depth-(Bearing or Plate Length-sqrt(Area required by Bearing Plate))/0.5)/0.80

Column Depth using Plate Length

Go Column Depth = (Bearing or Plate Length-(sqrt(Area required by Bearing Plate))+(0.80*Width of Plate))/0.95

Thickness of Plate

Go Minimum Plate Thickness = 2*Limiting Size*sqrt(Actual Bearing Pressure/Yield Stress of Steel)

Bearing Pressure given Plate Thickness

Go Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel

Area Required by Base Plate

Go Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete)

Column Load for given Base Plate Area

Go Column Load = Area required by Bearing Plate*0.7*Specified Compressive Strength of Concrete

Area Required by Base Plate Formula

Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete)
A₁ = C_l/(0.7*f_c')

What is Base Plate & types of Columns based on Slenderness Ratio?

The Base plates are usually used to distribute column loads over a large enough area of supporting concrete construction that the design bearing strength of the concrete is not exceeded. It acts as a support to transfer the compression load acting over the columns. Column bases are usually assumed to be subject to axial compression and shear only.
Types of columns are as follows:
Long or Slender column: Length is more than critical buckling length and hence fails due to buckling.
Short column: The length is less than the critical buckling length and it fails by shearing.

What is the difference between Columns and Struts?

The Strut is mainly used in roof trusses and steel bridges. The main purpose of a strut is to maintain the rigidity of the structure and to take compressive force and is not designed to take any gravity load, but
the column is designed for various types of loads acting on it such as axial load bending moment gravity load shear forces buckling and horizontal load like earthquake load and wind load.
Both Column and Strut are comprehensive members but the main difference between them is column is a comprehensive member of the frame structure and the strut is a comprehensive member of the truss structure.

How to Calculate Area Required by Base Plate?

Area Required by Base Plate calculator uses Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete) to calculate the Area required by Bearing Plate, The Area Required by Base Plate formula is defined as the minimum area needed for the column base plate to prevent failure. Area required by Bearing Plate is denoted by A₁ symbol.

How to calculate Area Required by Base Plate using this online calculator? To use this online calculator for Area Required by Base Plate, enter Column Load (C_l) & Specified Compressive Strength of Concrete (f_c') and hit the calculate button. Here is how the Area Required by Base Plate calculation can be explained with given input values -> 2.4E+10 = 470000/(0.7*28000000).

FAQ

What is Area Required by Base Plate?

The Area Required by Base Plate formula is defined as the minimum area needed for the column base plate to prevent failure and is represented as A₁ = C_l/(0.7*f_c') or Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete). Column Load is the total vertical force or weight that a column in a structure is designed to support. This includes the self-weight and weight from other parts of the structure & Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations.

How to calculate Area Required by Base Plate?

The Area Required by Base Plate formula is defined as the minimum area needed for the column base plate to prevent failure is calculated using Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete). To calculate Area Required by Base Plate, you need Column Load (C_l) & Specified Compressive Strength of Concrete (f_c'). With our tool, you need to enter the respective value for Column Load & Specified Compressive 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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