Required Area of Base Plate for Factored Load Calculator

✖Factored Load is a load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members.ⓘ Factored Load [P_u]			+10% -10%
✖Strength Reduction Factor is the ratio of elastic strength to yield strength.ⓘ Strength Reduction Factor [ϕ_c]			+10% -10%
✖The specified compressive strength of concrete is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.ⓘ Specified Compressive Strength of Concrete [f^'c]			+10% -10%

✖Area of Base Plate is the area of flat supporting plate or frame at the base of a column.ⓘ Required Area of Base Plate for Factored Load [A₁]

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Formula

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Required Area of Base Plate for Factored Load

Formula

`"A"_{"1"} = "P"_{"u"}/(0.85*"ϕ"_{"c"}*("f"^{"'"}"c"))`

Example

`"700.0059mm²"="39381kN"/(0.85*"0.6"*"110.31Pa")`

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Required Area of Base Plate for Factored Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete)
A₁ = P_u/(0.85*ϕ_c*f^'c)
This formula uses 4 Variables

Variables Used

Area of Base Plate - (Measured in Square Millimeter) - Area of Base Plate is the area of flat supporting plate or frame at the base of a column.
Factored Load - (Measured in Kilonewton) - Factored Load is a load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members.
Strength Reduction Factor - Strength Reduction Factor is the ratio of elastic strength to yield strength.
Specified Compressive Strength of Concrete - (Measured in Pascal) - The specified compressive strength of concrete is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.

STEP 1: Convert Input(s) to Base Unit

Factored Load: 39381 Kilonewton --> 39381 Kilonewton No Conversion Required
Strength Reduction Factor: 0.6 --> No Conversion Required
Specified Compressive Strength of Concrete: 110.31 Pascal --> 110.31 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₁ = P_u/(0.85*ϕ_c*f^'c) --> 39381/(0.85*0.6*110.31)

Evaluating ... ...

A₁ = 700.005865821988

STEP 3: Convert Result to Output's Unit

0.000700005865821988 Square Meter -->700.005865821988 Square Millimeter (Check conversion here)

FINAL ANSWER

700.005865821988 ≈ 700.0059 Square Millimeter <-- Area of Base Plate

(Calculation completed in 00.020 seconds)

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Cummins College of Engineering for Women (CCEW), Pune

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< 15 Column Base Plate Design Calculators

Projection of Base Plate beyond Flange and Parallel to Web

Go Projection of Base Plate Beyond Flange = Thickness/(sqrt(2*Factored Load/(0.9*Yield Load*Width*Length)))

Base Plate Thickness given Projection of Base Plate beyond Flange and Parallel to Web

Go Thickness = Projection of Base Plate Beyond Flange*sqrt(2*Factored Load/(0.9*Yield Load*Width*Length))

Projection of Base Plate beyond Flange and Perpendicular to Web

Go Projection of Base Plate Beyond Edge = Thickness/(sqrt(2*Factored Load/(0.9*Yield Load*Width*Length)))

Base Plate Thickness given Projection of Base Plate beyond Flange and Perpendicular to Web

Go Thickness = Projection of Base Plate Beyond Edge*sqrt(2*Factored Load/(0.9*Yield Load*Width*Length))

Length Rectangular Base for Projection of Base Plate beyond Flange and Parallel to Web

Go Length = Projection of Base Plate Beyond Flange^2*(2*Factored Load/(0.9*Yield Load*Width*Thickness^2))

Yield Load for Projection of Base Plate beyond Flange and Parallel to Web

Go Yield Load = Projection of Base Plate Beyond Flange^2*(2*Factored Load/(0.9*Length*Width*Thickness^2))

Length Rectangular Base for Projection of Base Plate beyond Flange and Perpendicular to Web

Go Length = Projection of Base Plate Beyond Edge^2*(2*Factored Load/(0.9*Yield Load*Width*Thickness^2))

Specified Compressive Strength of Concrete using Nominal Bearing Strength

Go Specified Compressive Strength of Concrete = (Nominal Bearing Strength/0.85)*sqrt(Area of Base Plate/Area of supporting Concrete)

Nominal Bearing Strength of Concrete

Go Nominal Bearing Strength = Specified Compressive Strength of Concrete*0.85*sqrt(Area of supporting Concrete/Area of Base Plate)

Area of Supporting Concrete given Nominal Bearing Strength

Go Area of supporting Concrete = Area of Base Plate*((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2)

Area of Base Plate given Nominal Bearing Strength

Go Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2)

Required Area of Base Plate for Factored Load

Go Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete)

Factored Load given Base Plate Area

Go Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete

Length Rectangular Base for Wide-Flange Column

Go Length = Area of Base Plate/Width

Width Parallel to Flanges

Go Width = Area of Base Plate/Length

Required Area of Base Plate for Factored Load Formula

Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete)
A₁ = P_u/(0.85*ϕ_c*f^'c)

What is Base Plate and its use?

Base plate is a plate that serves as a base or support. Column bases are used as a steel-concrete interface between steel columns and their foundations. Their main function is to transmit the structure stresses to the concrete footing surface and to link the column bottom end to the footing.

How to Calculate Required Area of Base Plate for Factored Load?

Required Area of Base Plate for Factored Load calculator uses Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete) to calculate the Area of Base Plate, The Required Area of Base Plate for Factored Load formula is defined as the area of a flat supporting plate or frame at the base of a column. Area of Base Plate is denoted by A₁ symbol.

How to calculate Required Area of Base Plate for Factored Load using this online calculator? To use this online calculator for Required Area of Base Plate for Factored Load, enter Factored Load (P_u), Strength Reduction Factor (ϕ_c) & Specified Compressive Strength of Concrete (f^'c) and hit the calculate button. Here is how the Required Area of Base Plate for Factored Load calculation can be explained with given input values -> 7E+8 = 39381000/(0.85*0.6*110.31).

FAQ

What is Required Area of Base Plate for Factored Load?

The Required Area of Base Plate for Factored Load formula is defined as the area of a flat supporting plate or frame at the base of a column and is represented as A₁ = P_u/(0.85*ϕ_c*f^'c) or Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete). Factored Load is a load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members, Strength Reduction Factor is the ratio of elastic strength to yield strength & The specified compressive strength of concrete is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.

How to calculate Required Area of Base Plate for Factored Load?

The Required Area of Base Plate for Factored Load formula is defined as the area of a flat supporting plate or frame at the base of a column is calculated using Area of Base Plate = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete). To calculate Required Area of Base Plate for Factored Load, you need Factored Load (P_u), Strength Reduction Factor (ϕ_c) & Specified Compressive Strength of Concrete (f^'c). With our tool, you need to enter the respective value for Factored Load, Strength Reduction Factor & 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.

How many ways are there to calculate Area of Base Plate?

In this formula, Area of Base Plate uses Factored Load, Strength Reduction Factor & Specified Compressive Strength of Concrete. We can use 1 other way(s) to calculate the same, which is/are as follows -

Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2)

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