Wall Section Gross Area given Axial Capacity of Wall Calculator

✖Axial Capacity of Wall is the capacity of the column to resist axially applied loads.ⓘ Axial Capacity of Wall [ϕP_n]			+10% -10%
✖Strength Reduction Factor for Bearing Walls is the ratio of elastic strength to yield strength.ⓘ Strength Reduction Factor for Bearing Walls [ϕ]			+10% -10%
✖Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.ⓘ Specified 28-Day Compressive Strength of Concrete [f'_c]			+10% -10%
✖Effective Length Factor is the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness.ⓘ Effective Length Factor [k]			+10% -10%
✖Vertical Distance between Supports is the distance between two intermediate supports for a structure in the vertical direction.ⓘ Vertical Distance between Supports [l_c]			+10% -10%
✖Overall Thickness of Wall is the wall thickness in millimeters.ⓘ Overall Thickness of Wall [h]			+10% -10%

✖Gross Area of Column is the total area enclosed by the column.ⓘ Wall Section Gross Area given Axial Capacity of Wall [A_g]

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Wall Section Gross Area given Axial Capacity of Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gross Area of Column = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2))
A_g = (ϕP_n)/(0.55*ϕ*f'_c*(1-((k*l_c)/(32*h))^2))
This formula uses 7 Variables

Variables Used

Gross Area of Column - (Measured in Square Meter) - Gross Area of Column is the total area enclosed by the column.
Axial Capacity of Wall - (Measured in Newton) - Axial Capacity of Wall is the capacity of the column to resist axially applied loads.
Strength Reduction Factor for Bearing Walls - Strength Reduction Factor for Bearing Walls is the ratio of elastic strength to yield strength.
Specified 28-Day Compressive Strength of Concrete - (Measured in Pascal) - Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.
Effective Length Factor - Effective Length Factor is the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness.
Vertical Distance between Supports - (Measured in Meter) - Vertical Distance between Supports is the distance between two intermediate supports for a structure in the vertical direction.
Overall Thickness of Wall - (Measured in Meter) - Overall Thickness of Wall is the wall thickness in millimeters.

STEP 1: Convert Input(s) to Base Unit

Axial Capacity of Wall: 10 Kilonewton --> 10000 Newton (Check conversion here)
Strength Reduction Factor for Bearing Walls: 0.7 --> No Conversion Required
Specified 28-Day Compressive Strength of Concrete: 50 Megapascal --> 50000000 Pascal (Check conversion here)
Effective Length Factor: 0.5 --> No Conversion Required
Vertical Distance between Supports: 1000 Millimeter --> 1 Meter (Check conversion here)
Overall Thickness of Wall: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_g = (ϕP_n)/(0.55*ϕ*f'_c*(1-((k*l_c)/(32*h))^2)) --> (10000)/(0.55*0.7*50000000*(1-((0.5*1)/(32*0.2))^2))

Evaluating ... ...

A_g = 0.000522670647946993

STEP 3: Convert Result to Output's Unit

0.000522670647946993 Square Meter -->522.670647946993 Square Millimeter (Check conversion here)

FINAL ANSWER

522.670647946993 ≈ 522.6706 Square Millimeter <-- Gross Area of Column

(Calculation completed in 00.064 seconds)

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Home » Engineering » Civil » Concrete Formulas » Frames and Flat Plate » Braced and Unbraced Frames » Load Bearing Walls » Wall Section Gross Area given Axial Capacity of Wall

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Load Bearing Walls Calculators

28-Day Concrete Compressive Strength given Axial Capacity of Wall

LaTeX Go Specified 28-Day Compressive Strength of Concrete = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Gross Area of Column*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2))

Wall Section Gross Area given Axial Capacity of Wall

LaTeX Go Gross Area of Column = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2))

Axial Capacity of Wall

LaTeX Go Axial Capacity of Wall = 0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*Gross Area of Column*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2)

Wall Section Gross Area given Axial Capacity of Wall Formula

LaTeX Go

What is Axial Capacity?

Axial capacity is the maximum bearing capacity of the wall to resist axially applied loads. It is usually expressed in kN.

What is the method used for Axial Capacity?

The method used to calculate the axial capacity of the wall is the empirical method given in the ACI Code when the eccentricity of the resulting compressive load is equal to or less than one-sixth of the thickness of the wall.

How to Calculate Wall Section Gross Area given Axial Capacity of Wall?

Wall Section Gross Area given Axial Capacity of Wall calculator uses Gross Area of Column = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2)) to calculate the Gross Area of Column, The Wall Section Gross Area given Axial Capacity of Wall formula is defined as the total area enclosed by the walls. It is the sum of all floors of a building included within the outside faces of its exterior walls, including all vertical penetration areas. Gross Area of Column is denoted by A_g symbol.

How to calculate Wall Section Gross Area given Axial Capacity of Wall using this online calculator? To use this online calculator for Wall Section Gross Area given Axial Capacity of Wall, enter Axial Capacity of Wall (ϕP_n), Strength Reduction Factor for Bearing Walls (ϕ), Specified 28-Day Compressive Strength of Concrete (f'_c), Effective Length Factor (k), Vertical Distance between Supports (l_c) & Overall Thickness of Wall (h) and hit the calculate button. Here is how the Wall Section Gross Area given Axial Capacity of Wall calculation can be explained with given input values -> 5.2E+8 = (10000)/(0.55*0.7*50000000*(1-((0.5*1)/(32*0.2))^2)).

FAQ

What is Wall Section Gross Area given Axial Capacity of Wall?

The Wall Section Gross Area given Axial Capacity of Wall formula is defined as the total area enclosed by the walls. It is the sum of all floors of a building included within the outside faces of its exterior walls, including all vertical penetration areas and is represented as A_g = (ϕP_n)/(0.55*ϕ*f'_c*(1-((k*l_c)/(32*h))^2)) or Gross Area of Column = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2)). Axial Capacity of Wall is the capacity of the column to resist axially applied loads, Strength Reduction Factor for Bearing Walls is the ratio of elastic strength to yield strength, Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed, Effective Length Factor is the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness, Vertical Distance between Supports is the distance between two intermediate supports for a structure in the vertical direction & Overall Thickness of Wall is the wall thickness in millimeters.

How to calculate Wall Section Gross Area given Axial Capacity of Wall?

The Wall Section Gross Area given Axial Capacity of Wall formula is defined as the total area enclosed by the walls. It is the sum of all floors of a building included within the outside faces of its exterior walls, including all vertical penetration areas is calculated using Gross Area of Column = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2)). To calculate Wall Section Gross Area given Axial Capacity of Wall, you need Axial Capacity of Wall (ϕP_n), Strength Reduction Factor for Bearing Walls (ϕ), Specified 28-Day Compressive Strength of Concrete (f'_c), Effective Length Factor (k), Vertical Distance between Supports (l_c) & Overall Thickness of Wall (h). With our tool, you need to enter the respective value for Axial Capacity of Wall, Strength Reduction Factor for Bearing Walls, Specified 28-Day Compressive Strength of Concrete, Effective Length Factor, Vertical Distance between Supports & Overall Thickness of Wall 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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