Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Calculator

✖Critical Load On Column is the greatest load that will not cause lateral deflection (buckling).ⓘ Critical Load On Column [P]			+10% -10%
✖Compressive yield stress is stress which causes a material to exhibit a specified deformation. Usually determined from the stress-strain diagram obtained in a compression test.ⓘ Compressive Yield Stress [σ_c]			+10% -10%
✖Johnson's formula constant is defined as the constant that depends on the material of column.ⓘ Johnson's formula constant [r]			+10% -10%
✖The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio [λ]			+10% -10%

✖Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio [A_sectional]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Column And Struts Formula PDF PDF Image

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Slenderness Ratio)))
A_sectional = P/(σ_c-(r*(λ)))
This formula uses 5 Variables

Variables Used

Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Critical Load On Column - (Measured in Newton) - Critical Load On Column is the greatest load that will not cause lateral deflection (buckling).
Compressive Yield Stress - (Measured in Pascal) - Compressive yield stress is stress which causes a material to exhibit a specified deformation. Usually determined from the stress-strain diagram obtained in a compression test.
Johnson's formula constant - Johnson's formula constant is defined as the constant that depends on the material of column.
Slenderness Ratio - The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

STEP 1: Convert Input(s) to Base Unit

Critical Load On Column: 5 Newton --> 5 Newton No Conversion Required
Compressive Yield Stress: 420 Newton per Square Meter --> 420 Pascal (Check conversion here)
Johnson's formula constant: 6 --> No Conversion Required
Slenderness Ratio: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sectional = P/(σ_c-(r*(λ))) --> 5/(420-(6*(0.5)))

Evaluating ... ...

A_sectional = 0.0119904076738609

STEP 3: Convert Result to Output's Unit

0.0119904076738609 Square Meter --> No Conversion Required

FINAL ANSWER

0.0119904076738609 ≈ 0.01199 Square Meter <-- Column Cross Sectional Area

(Calculation completed in 00.022 seconds)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Mechanical » Johnson's Parabolic Formula » Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Johnson's Parabolic Formula Calculators

Constant Depending on Material of Column According to Johnson's Parabolic Formula

LaTeX Go Johnson's formula constant = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Effective Column Length/Least Radius of Gyration Column)

Cross-Sectional Area of Column According to Johnson's Parabolic Formula

LaTeX Go Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))

Critical Load on Column According to Johnson's Parabolic Formula

LaTeX Go Critical Load On Column = (Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))*Column Cross Sectional Area

Compressive Yield Stress According to Johnson's Parabolic Formula

LaTeX Go Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Effective Column Length/Least Radius of Gyration Column

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Formula

LaTeX Go

Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Slenderness Ratio)))
A_sectional = P/(σ_c-(r*(λ)))

What is slenderness ratio in column?

The slenderness ratio of a reinforced concrete (RC) column is the ratio between the length of the column, its lateral dimensions, and end fixity. The slenderness ratio is calculated by dividing the column length by its radius of gyration. The slenderness ratio differentiates the short column from the long or slender column.

How to Calculate Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio calculator uses Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Slenderness Ratio))) to calculate the Column Cross Sectional Area, Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio formula is defined as a method to determine the sectional area of a column based on the slenderness ratio, providing a reliable estimate of the column's load-carrying capacity in structural engineering applications. Column Cross Sectional Area is denoted by A_sectional symbol.

How to calculate Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio using this online calculator? To use this online calculator for Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio, enter Critical Load On Column (P), Compressive Yield Stress (σ_c), Johnson's formula constant (r) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio calculation can be explained with given input values -> 0.01199 = 5/(420-(6*(0.5))).

FAQ

What is Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio formula is defined as a method to determine the sectional area of a column based on the slenderness ratio, providing a reliable estimate of the column's load-carrying capacity in structural engineering applications and is represented as A_sectional = P/(σ_c-(r*(λ))) or Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Slenderness Ratio))). Critical Load On Column is the greatest load that will not cause lateral deflection (buckling), Compressive yield stress is stress which causes a material to exhibit a specified deformation. Usually determined from the stress-strain diagram obtained in a compression test, Johnson's formula constant is defined as the constant that depends on the material of column & The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

How to calculate Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio formula is defined as a method to determine the sectional area of a column based on the slenderness ratio, providing a reliable estimate of the column's load-carrying capacity in structural engineering applications is calculated using Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Slenderness Ratio))). To calculate Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio, you need Critical Load On Column (P), Compressive Yield Stress (σ_c), Johnson's formula constant (r) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Critical Load On Column, Compressive Yield Stress, Johnson's formula constant & Slenderness Ratio 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 Column Cross Sectional Area?

In this formula, Column Cross Sectional Area uses Critical Load On Column, Compressive Yield Stress, Johnson's formula constant & Slenderness Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))

Home

FREE PDFs

🔍 Search