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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Column Base Plate Design Formulas PDF PDF Image

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 00.004 seconds)

You are here -

Home » Engineering » Civil » Columns » Column Base Plate Design » Required Area of Base Plate for Factored Load

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!

< Column Base Plate Design Calculators

Specified Compressive Strength of Concrete using Nominal Bearing Strength

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Formula

LaTeX Go

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)

Home

FREE PDFs

🔍 Search