Area of Supporting Concrete given Nominal Bearing Strength Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of supporting Concrete = Area of Base Plate*((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2)
A2 = A1*((fp/(f'c*0.85))^2)
This formula uses 4 Variables
Variables Used
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.
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 Base Plate: 700 Square Millimeter --> 700 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
A2 = A1*((fp/(f'c*0.85))^2) --> 700*((0.0001326/(0.00011031*0.85))^2)
Evaluating ... ...
A2 = 1399.96593278167
STEP 3: Convert Result to Output's Unit
0.00139996593278167 Square Meter -->1399.96593278167 Square Millimeter (Check conversion here)
FINAL ANSWER
1399.96593278167 1399.966 Square Millimeter <-- Area of supporting Concrete
(Calculation completed in 00.004 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

Area of Supporting Concrete given Nominal Bearing Strength Formula

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

What is Concrete Slab?

A concrete slab is a common structural element of modern buildings, consisting of a flat, In many domestic and industrial buildings, a thick concrete slab supported on foundations or directly on the subsoil, is used to construct the ground floor as clay are too dynamic to support a slab consistently across its entire area.

How to Calculate Area of Supporting Concrete given Nominal Bearing Strength?

Area of Supporting Concrete given Nominal Bearing Strength calculator uses Area of supporting Concrete = Area of Base Plate*((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2) to calculate the Area of supporting Concrete, The Area of Supporting Concrete given Nominal Bearing Strength formula is defined as a geometrical area similar to and concentric with the loaded area. Area of supporting Concrete is denoted by A2 symbol.

How to calculate Area of Supporting Concrete given Nominal Bearing Strength using this online calculator? To use this online calculator for Area of Supporting Concrete given Nominal Bearing Strength, enter Area of Base Plate (A1), Nominal Bearing Strength (fp) & Specified Compressive Strength of Concrete (f'c) and hit the calculate button. Here is how the Area of Supporting Concrete given Nominal Bearing Strength calculation can be explained with given input values -> 1.4E+9 = 0.0007*((132.6/(110.31*0.85))^2).

FAQ

What is Area of Supporting Concrete given Nominal Bearing Strength?
The Area of Supporting Concrete given Nominal Bearing Strength formula is defined as a geometrical area similar to and concentric with the loaded area and is represented as A2 = A1*((fp/(f'c*0.85))^2) or Area of supporting Concrete = Area of Base Plate*((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2). Area of Base Plate is the area of flat supporting plate or frame at the base of a column, 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 Supporting Concrete given Nominal Bearing Strength?
The Area of Supporting Concrete given Nominal Bearing Strength formula is defined as a geometrical area similar to and concentric with the loaded area is calculated using Area of supporting Concrete = Area of Base Plate*((Nominal Bearing Strength/(Specified Compressive Strength of Concrete*0.85))^2). To calculate Area of Supporting Concrete given Nominal Bearing Strength, you need Area of Base Plate (A1), Nominal Bearing Strength (fp) & Specified Compressive Strength of Concrete (f'c). With our tool, you need to enter the respective value for Area of Base Plate, 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.
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