Axial Capacity of Wall Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
ϕPn = 0.55*ϕ*f'c*Ag*(1-((k*lc)/(32*h))^2)
This formula uses 7 Variables
Variables Used
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.
Gross Area of Column - (Measured in Square Meter) - Gross Area of Column is the total area enclosed by the column.
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
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)
Gross Area of Column: 500 Square Millimeter --> 0.0005 Square Meter (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
ϕPn = 0.55*ϕ*f'c*Ag*(1-((k*lc)/(32*h))^2) --> 0.55*0.7*50000000*0.0005*(1-((0.5*1)/(32*0.2))^2)
Evaluating ... ...
ϕPn = 9566.25366210938
STEP 3: Convert Result to Output's Unit
9566.25366210938 Newton -->9.56625366210938 Kilonewton (Check conversion here)
FINAL ANSWER
9.56625366210938 9.566254 Kilonewton <-- Axial Capacity of Wall
(Calculation completed in 00.020 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has created this Calculator and 500+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

3 Load Bearing Walls Calculators

28-Day Concrete Compressive Strength given Axial Capacity of Wall
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
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
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)

Axial Capacity of Wall Formula

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)
ϕPn = 0.55*ϕ*f'c*Ag*(1-((k*lc)/(32*h))^2)

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.

What is Axial Capacity?

The axial capacity of a wall is the total capacity which can resist the axially applied loads. This value is usually expressed in KN.

How to Calculate Axial Capacity of Wall?

Axial Capacity of Wall calculator uses 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) to calculate the Axial Capacity of Wall, The Axial Capacity of Wall formula is defined as the capacity of the wall to resist axially applied loads. It is usually expressed in terms of kN. Axial Capacity of Wall is denoted by ϕPn symbol.

How to calculate Axial Capacity of Wall using this online calculator? To use this online calculator for Axial Capacity of Wall, enter Strength Reduction Factor for Bearing Walls (ϕ), Specified 28-Day Compressive Strength of Concrete (f'c), Gross Area of Column (Ag), Effective Length Factor (k), Vertical Distance between Supports (lc) & Overall Thickness of Wall (h) and hit the calculate button. Here is how the Axial Capacity of Wall calculation can be explained with given input values -> 0.009566 = 0.55*0.7*50000000*0.0005*(1-((0.5*1)/(32*0.2))^2).

FAQ

What is Axial Capacity of Wall?
The Axial Capacity of Wall formula is defined as the capacity of the wall to resist axially applied loads. It is usually expressed in terms of kN and is represented as ϕPn = 0.55*ϕ*f'c*Ag*(1-((k*lc)/(32*h))^2) or 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). 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, Gross Area of Column is the total area enclosed by the column, 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 Axial Capacity of Wall?
The Axial Capacity of Wall formula is defined as the capacity of the wall to resist axially applied loads. It is usually expressed in terms of kN is calculated using 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). To calculate Axial Capacity of Wall, you need Strength Reduction Factor for Bearing Walls (ϕ), Specified 28-Day Compressive Strength of Concrete (f'c), Gross Area of Column (Ag), Effective Length Factor (k), Vertical Distance between Supports (lc) & Overall Thickness of Wall (h). With our tool, you need to enter the respective value for Strength Reduction Factor for Bearing Walls, Specified 28-Day Compressive Strength of Concrete, Gross Area of Column, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!