Constant Depending on Material of 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%
✖Critical Load On Column is the greatest load that will not cause lateral deflection (buckling).ⓘ Critical Load On Column [P]			+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%
✖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%

✖Johnson's formula constant is defined as the constant that depends on the material of column.ⓘ Constant Depending on Material of Column According to Johnson's Parabolic Formula [r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Column And Struts Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Johnson's formula constant - Johnson's formula constant is defined as the constant that depends on the material of column.
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.
Critical Load On Column - (Measured in Newton) - Critical Load On Column is the greatest load that will not cause lateral deflection (buckling).
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.
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

Compressive Yield Stress: 420 Newton per Square Meter --> 420 Pascal (Check conversion here)
Critical Load On Column: 5 Newton --> 5 Newton No Conversion Required
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter 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

r = (σ_c-(P/A_sectional))/(L_eff/r_least) --> (420-(5/1.4))/(3/0.04702)

Evaluating ... ...

r = 6.52682380952381

STEP 3: Convert Result to Output's Unit

6.52682380952381 --> No Conversion Required

FINAL ANSWER

6.52682380952381 ≈ 6.526824 <-- Johnson's formula constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Mechanical » Johnson's Parabolic Formula » Constant Depending on Material of Column According to Johnson's Parabolic Formula

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

Constant Depending on Material 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 short column from the long or slender column.

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

Constant Depending on Material of Column According to Johnson's Parabolic Formula calculator uses Johnson's formula constant = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Effective Column Length/Least Radius of Gyration Column) to calculate the Johnson's formula constant, Constant Depending on Material of Column According to Johnson's Parabolic Formula formula is defined as a measure of the constant value that depends on the material of the column, which is used to calculate the critical buckling load of a column based on its material properties and dimensions. Johnson's formula constant is denoted by r symbol.

How to calculate Constant Depending on Material of Column According to Johnson's Parabolic Formula using this online calculator? To use this online calculator for Constant Depending on Material of Column According to Johnson's Parabolic Formula, enter Compressive Yield Stress (σ_c), Critical Load On Column (P), Column Cross Sectional Area (A_sectional), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) and hit the calculate button. Here is how the Constant Depending on Material of Column According to Johnson's Parabolic Formula calculation can be explained with given input values -> 6.526824 = (420-(5/1.4))/(3/0.04702).

FAQ

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

Constant Depending on Material of Column According to Johnson's Parabolic Formula formula is defined as a measure of the constant value that depends on the material of the column, which is used to calculate the critical buckling load of a column based on its material properties and dimensions and is represented as r = (σ_c-(P/A_sectional))/(L_eff/r_least) or Johnson's formula constant = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Effective Column Length/Least Radius of Gyration Column). 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, Critical Load On Column is the greatest load that will not cause lateral deflection (buckling), 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, 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 Constant Depending on Material of Column According to Johnson's Parabolic Formula?

Constant Depending on Material of Column According to Johnson's Parabolic Formula formula is defined as a measure of the constant value that depends on the material of the column, which is used to calculate the critical buckling load of a column based on its material properties and dimensions is calculated using Johnson's formula constant = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Effective Column Length/Least Radius of Gyration Column). To calculate Constant Depending on Material of Column According to Johnson's Parabolic Formula, you need Compressive Yield Stress (σ_c), Critical Load On Column (P), Column Cross Sectional Area (A_sectional), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least). With our tool, you need to enter the respective value for Compressive Yield Stress, Critical Load On Column, Column Cross Sectional Area, 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 Johnson's formula constant?

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

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

Home

FREE PDFs

🔍 Search