Nominal Bearing Strength of Concrete Calculator

✖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 supporting concrete is geometrically similar to and concentric with the loaded area.ⓘ Area of supporting Concrete [A₂]			+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 [A₁]			+10% -10%

✖Nominal bearing strength the compressive strength and the ratio of the total surface area to the load bearing area.ⓘ Nominal Bearing Strength of Concrete [f_p]

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Formula

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Nominal Bearing Strength of Concrete

Formula

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

Example

`"132.6016Pa"="110.31Pa"*0.85*sqrt("1400mm²"/"700mm²")`

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Nominal Bearing Strength of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal Bearing Strength = Specified Compressive Strength of Concrete*0.85*sqrt(Area of supporting Concrete/Area of Base Plate)
f_p = f^'c*0.85*sqrt(A₂/A₁)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Area of supporting Concrete - (Measured in Square Millimeter) - Area of supporting concrete is geometrically similar to and concentric with the loaded area.
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.

STEP 1: Convert Input(s) to Base Unit

Specified Compressive Strength of Concrete: 110.31 Pascal --> 0.00011031 Megapascal (Check conversion here)
Area of supporting Concrete: 1400 Square Millimeter --> 1400 Square Millimeter No Conversion Required
Area of Base Plate: 700 Square Millimeter --> 700 Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_p = f^'c*0.85*sqrt(A₂/A₁) --> 0.00011031*0.85*sqrt(1400/700)

Evaluating ... ...

f_p = 0.00013260161335557

STEP 3: Convert Result to Output's Unit

132.60161335557 Pascal --> No Conversion Required

FINAL ANSWER

132.60161335557 ≈ 132.6016 Pascal <-- Nominal Bearing Strength

(Calculation completed in 00.012 seconds)

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Created by Rudrani Tidke

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

Nominal Bearing Strength of Concrete Formula

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

What is the Bearing Strength of Concrete?

The bearing strength of concrete is simply the compressive strength of the concrete and the ratio of the total surface area to the load bearing area (known as bearing ratio).It will be checked by cube test with the help of UTM. It is a destructive test

How to Calculate Nominal Bearing Strength of Concrete?

Nominal Bearing Strength of Concrete calculator uses Nominal Bearing Strength = Specified Compressive Strength of Concrete*0.85*sqrt(Area of supporting Concrete/Area of Base Plate) to calculate the Nominal Bearing Strength, The Nominal Bearing Strength of Concrete formula is defined as the compressive strength and the ratio of the total surface area to the load bearing area. Nominal Bearing Strength is denoted by f_p symbol.

How to calculate Nominal Bearing Strength of Concrete using this online calculator? To use this online calculator for Nominal Bearing Strength of Concrete, enter Specified Compressive Strength of Concrete (f^'c), Area of supporting Concrete (A₂) & Area of Base Plate (A₁) and hit the calculate button. Here is how the Nominal Bearing Strength of Concrete calculation can be explained with given input values -> 132.6016 = 110.31*0.85*sqrt(0.0014/0.0007).

FAQ

What is Nominal Bearing Strength of Concrete?

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

How to calculate Nominal Bearing Strength of Concrete?

The Nominal Bearing Strength of Concrete formula is defined as the compressive strength and the ratio of the total surface area to the load bearing area is calculated using Nominal Bearing Strength = Specified Compressive Strength of Concrete*0.85*sqrt(Area of supporting Concrete/Area of Base Plate). To calculate Nominal Bearing Strength of Concrete, you need Specified Compressive Strength of Concrete (f^'c), Area of supporting Concrete (A₂) & Area of Base Plate (A₁). With our tool, you need to enter the respective value for Specified Compressive Strength of Concrete, Area of supporting Concrete & Area of Base Plate 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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