Factored Load given Base Plate Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete
Pu = A1*0.85*ϕc*f'c
This formula uses 4 Variables
Variables Used
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.
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.
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
Area of Base Plate: 700 Square Millimeter --> 700 Square Millimeter 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
Pu = A1*0.85*ϕc*f'c --> 700*0.85*0.6*110.31
Evaluating ... ...
Pu = 39380.67
STEP 3: Convert Result to Output's Unit
39380670 Newton -->39380.67 Kilonewton (Check conversion here)
FINAL ANSWER
39380.67 Kilonewton <-- Factored Load
(Calculation completed in 00.004 seconds)

Credits

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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

Factored Load given Base Plate Area Formula

Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete
Pu = A1*0.85*ϕc*f'c

What is Unfactored load?

Unfactored load is a service load to determine the working stress of a structural concrete, steel, or wood member.

How to Calculate Factored Load given Base Plate Area?

Factored Load given Base Plate Area calculator uses Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete to calculate the Factored Load, The Factored Load given Base Plate Area formula is defined as a load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members such as reinforced concrete. Factored Load is denoted by Pu symbol.

How to calculate Factored Load given Base Plate Area using this online calculator? To use this online calculator for Factored Load given Base Plate Area, enter Area of Base Plate (A1), Strength Reduction Factor c) & Specified Compressive Strength of Concrete (f'c) and hit the calculate button. Here is how the Factored Load given Base Plate Area calculation can be explained with given input values -> 39.38067 = 0.0007*0.85*0.6*110.31.

FAQ

What is Factored Load given Base Plate Area?
The Factored Load given Base Plate Area formula is defined as a load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members such as reinforced concrete and is represented as Pu = A1*0.85*ϕc*f'c or Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete. Area of Base Plate is the area of flat supporting plate or frame at the base of a column, 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 Factored Load given Base Plate Area?
The Factored Load given Base Plate Area formula is defined as a load multiplied by a certain factor designated by codes of practice to determine the strength of a structural members such as reinforced concrete is calculated using Factored Load = Area of Base Plate*0.85*Strength Reduction Factor*Specified Compressive Strength of Concrete. To calculate Factored Load given Base Plate Area, you need Area of Base Plate (A1), Strength Reduction Factor c) & Specified Compressive Strength of Concrete (f'c). With our tool, you need to enter the respective value for Area of Base Plate, 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.
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