Cross-Sectional Area of Column According to Johnson's Parabolic Formula 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%
✖Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Effective Column Length [L_eff]			+10% -10%
✖Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration Column [r_least]			+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 of Column According to Johnson's Parabolic Formula [A_sectional]

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

STEP 0: Pre-Calculation Summary

Formula Used

Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))
A_sectional = P/(σ_c-(r*(L_eff/r_least)))
This formula uses 6 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.
Effective Column Length - (Measured in Meter) - Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
Least Radius of Gyration Column - (Measured in Meter) - Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

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
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sectional = P/(σ_c-(r*(L_eff/r_least))) --> 5/(420-(6*(3/0.04702)))

Evaluating ... ...

A_sectional = 0.134465797300389

STEP 3: Convert Result to Output's Unit

0.134465797300389 Square Meter --> No Conversion Required

FINAL ANSWER

0.134465797300389 ≈ 0.134466 Square Meter <-- Column Cross Sectional Area

(Calculation completed in 00.007 seconds)

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< 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 of Column According to Johnson's Parabolic Formula Formula

LaTeX Go

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 of Column According to Johnson's Parabolic Formula?

Cross-Sectional Area of Column According to Johnson's Parabolic Formula calculator uses Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column))) to calculate the Column Cross Sectional Area, Cross-Sectional Area of Column According to Johnson's Parabolic Formula formula is defined as a method to determine the sectional area of a column, taking into account the axial load, effective length, and least radius of the column, providing a reliable estimate of the column's load-carrying capacity. Column Cross Sectional Area is denoted by A_sectional symbol.

How to calculate Cross-Sectional Area of Column According to Johnson's Parabolic Formula using this online calculator? To use this online calculator for Cross-Sectional Area of Column According to Johnson's Parabolic Formula, enter Critical Load On Column (P), Compressive Yield Stress (σ_c), Johnson's formula constant (r), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) and hit the calculate button. Here is how the Cross-Sectional Area of Column According to Johnson's Parabolic Formula calculation can be explained with given input values -> 0.134466 = 5/(420-(6*(3/0.04702))).

FAQ

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

Cross-Sectional Area of Column According to Johnson's Parabolic Formula formula is defined as a method to determine the sectional area of a column, taking into account the axial load, effective length, and least radius of the column, providing a reliable estimate of the column's load-carrying capacity and is represented as A_sectional = P/(σ_c-(r*(L_eff/r_least))) or 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 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, Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration & Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

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

Cross-Sectional Area of Column According to Johnson's Parabolic Formula formula is defined as a method to determine the sectional area of a column, taking into account the axial load, effective length, and least radius of the column, providing a reliable estimate of the column's load-carrying capacity is calculated using Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column))). To calculate Cross-Sectional Area of Column According to Johnson's Parabolic Formula, you need Critical Load On Column (P), Compressive Yield Stress (σ_c), Johnson's formula constant (r), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least). With our tool, you need to enter the respective value for Critical Load On Column, Compressive Yield Stress, Johnson's formula constant, Effective Column Length & Least Radius of Gyration Column 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, Effective Column Length & Least Radius of Gyration Column. 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*(Slenderness Ratio)))

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