Critical Load on Column According to Johnson's Parabolic Formula Calculator

✖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.ⓘ Column Cross Sectional Area [A_sectional]			+10% -10%

✖Critical Load On Column is the greatest load that will not cause lateral deflection (buckling).ⓘ Critical Load on Column According to Johnson's Parabolic Formula [P]

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Critical Load on Column According to Johnson's Parabolic Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Load On Column = (Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))*Column Cross Sectional Area
P = (σ_c-(r*(L_eff/r_least)))*A_sectional
This formula uses 6 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (σ_c-(r*(L_eff/r_least)))*A_sectional --> (420-(6*(3/0.04702)))*1.4

Evaluating ... ...

P = 52.0578477243726

STEP 3: Convert Result to Output's Unit

52.0578477243726 Newton --> No Conversion Required

FINAL ANSWER

52.0578477243726 ≈ 52.05785 Newton <-- Critical Load On Column

(Calculation completed in 00.020 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

Critical Load on 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 Critical Load on Column According to Johnson's Parabolic Formula?

Critical Load on Column According to Johnson's Parabolic Formula calculator uses Critical Load On Column = (Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))*Column Cross Sectional Area to calculate the Critical Load On Column, Critical Load on Column According to Johnson's Parabolic Formula is defined as the maximum load that a column can withstand without buckling, taking into account the effective length, least radius of gyration, and sectional area of the column, providing a reliable estimate of the column's load-carrying capacity. Critical Load On Column is denoted by P symbol.

How to calculate Critical Load on Column According to Johnson's Parabolic Formula using this online calculator? To use this online calculator for Critical Load on Column According to Johnson's Parabolic Formula, enter Compressive Yield Stress (σ_c), Johnson's formula constant (r), Effective Column Length (L_eff), Least Radius of Gyration Column (r_least) & Column Cross Sectional Area (A_sectional) and hit the calculate button. Here is how the Critical Load on Column According to Johnson's Parabolic Formula calculation can be explained with given input values -> 52.05785 = (420-(6*(3/0.04702)))*1.4.

FAQ

What is Critical Load on Column According to Johnson's Parabolic Formula?

Critical Load on Column According to Johnson's Parabolic Formula is defined as the maximum load that a column can withstand without buckling, taking into account the effective length, least radius of gyration, and sectional area of the column, providing a reliable estimate of the column's load-carrying capacity and is represented as P = (σ_c-(r*(L_eff/r_least)))*A_sectional or 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 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 & 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.

How to calculate Critical Load on Column According to Johnson's Parabolic Formula?

Critical Load on Column According to Johnson's Parabolic Formula is defined as the maximum load that a column can withstand without buckling, taking into account the effective length, least radius of gyration, and sectional area of the column, providing a reliable estimate of the column's load-carrying capacity is calculated using Critical Load On Column = (Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))*Column Cross Sectional Area. To calculate Critical Load on Column According to Johnson's Parabolic Formula, you need Compressive Yield Stress (σ_c), Johnson's formula constant (r), Effective Column Length (L_eff), Least Radius of Gyration Column (r_least) & Column Cross Sectional Area (A_sectional). With our tool, you need to enter the respective value for Compressive Yield Stress, Johnson's formula constant, Effective Column Length, Least Radius of Gyration Column & Column Cross Sectional Area 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 Critical Load On Column?

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

Critical Load On Column = (Compressive Yield Stress-(Johnson's formula constant*Slenderness Ratio))*Column Cross Sectional Area

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