Area of Base Plate given Nominal Bearing Strength Calculator

✖Area of supporting concrete is geometrically similar to and concentric with the loaded area.ⓘ Area of supporting Concrete [A₂]			+10% -10%
✖Nominal bearing strength the compressive strength and the ratio of the total surface area to the load bearing area.ⓘ Nominal Bearing Strength [f_p]			+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.ⓘ Area of Base Plate given Nominal Bearing Strength [A₁]

⎘ Copy

👎

Formula

✖

Area of Base Plate given Nominal Bearing Strength

Formula

`"A"_{"1"} = "A"_{"2"}/(("f"_{"p"}/(("f"^{"'"}"c")*0.85))^2)`

Example

`"700.017mm²"="1400mm²"/(("132.6Pa"/("110.31Pa"*0.85))^2)`

Calculator

LaTeX

Reset

👍

Download Column Base Plate Design Formulas PDF PDF Image

Area of Base Plate given Nominal Bearing Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2)
A₁ = A₂/((f_p/(f^'c*0.85))^2)
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.
Area of supporting Concrete - (Measured in Square Millimeter) - Area of supporting concrete is geometrically similar to and concentric with the loaded area.
Nominal Bearing Strength - (Measured in Megapascal) - Nominal bearing strength the compressive strength and the ratio of the total surface area to the load bearing area.
Specified Compressive Strength of Concrete - (Measured in Megapascal) - 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

Area of supporting Concrete: 1400 Square Millimeter --> 1400 Square Millimeter No Conversion Required
Nominal Bearing Strength: 132.6 Pascal --> 0.0001326 Megapascal (Check conversion here)
Specified Compressive Strength of Concrete: 110.31 Pascal --> 0.00011031 Megapascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₁ = A₂/((f_p/(f^'c*0.85))^2) --> 1400/((0.0001326/(0.00011031*0.85))^2)

Evaluating ... ...

A₁ = 700.017034023669

STEP 3: Convert Result to Output's Unit

0.000700017034023668 Square Meter -->700.017034023668 Square Millimeter (Check conversion here)

FINAL ANSWER

700.017034023668 ≈ 700.017 Square Millimeter <-- Area of Base Plate

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Columns » Column Base Plate Design » Area of Base Plate given Nominal Bearing Strength

Credits

Created by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has created this Calculator and 100+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 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

Area of Base Plate given Nominal Bearing Strength Formula

Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2)
A₁ = A₂/((f_p/(f^'c*0.85))^2)

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 Area of Base Plate given Nominal Bearing Strength?

Area of Base Plate given Nominal Bearing Strength calculator uses Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2) to calculate the Area of Base Plate, The Area of Base Plate given Nominal Bearing Strength formula is defined as the area of flat supporting plate or frame at the base of a column. Area of Base Plate is denoted by A₁ symbol.

How to calculate Area of Base Plate given Nominal Bearing Strength using this online calculator? To use this online calculator for Area of Base Plate given Nominal Bearing Strength, enter Area of supporting Concrete (A₂), Nominal Bearing Strength (f_p) & Specified Compressive Strength of Concrete (f^'c) and hit the calculate button. Here is how the Area of Base Plate given Nominal Bearing Strength calculation can be explained with given input values -> 7E+8 = 0.0014/((132.6/(110.31*0.85))^2).

FAQ

What is Area of Base Plate given Nominal Bearing Strength?

The Area of Base Plate given Nominal Bearing Strength formula is defined as the area of flat supporting plate or frame at the base of a column and is represented as A₁ = A₂/((f_p/(f^'c*0.85))^2) or Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2). Area of supporting concrete is geometrically similar to and concentric with the loaded area, Nominal bearing strength the compressive strength and the ratio of the total surface area to the load bearing area & 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 Area of Base Plate given Nominal Bearing Strength?

The Area of Base Plate given Nominal Bearing Strength formula is defined as the area of flat supporting plate or frame at the base of a column is calculated using Area of Base Plate = Area of supporting Concrete/((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2). To calculate Area of Base Plate given Nominal Bearing Strength, you need Area of supporting Concrete (A₂), Nominal Bearing Strength (f_p) & Specified Compressive Strength of Concrete (f^'c). With our tool, you need to enter the respective value for Area of supporting Concrete, Nominal Bearing Strength & 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 Area of supporting Concrete, Nominal Bearing Strength & 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 = Factored Load/(0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete)

Home

FREE PDFs

🔍 Search