Compressive Yield Stress 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%
✖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%
✖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%

✖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 According to Johnson's Parabolic Formula [σ_c]

⎘ Copy

👎

Formula

✖

Compressive Yield Stress According to Johnson's Parabolic Formula

Formula

`"σ"_{"c"} = "P"/"A"_{"sectional"}+"r"*"L"_{"eff"}/"r"_{"least"}`

Example

`"386.3873N/m²"="5N"/"1.4m²"+"6"*"3000mm"/"47.02mm"`

Calculator

LaTeX

Reset

👍

Download Column And Struts Formula PDF PDF Image

Compressive Yield Stress According to Johnson's Parabolic Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

σ_c = P/A_sectional+r*L_eff/r_least --> 5/1.4+6*3/0.04702

Evaluating ... ...

σ_c = 386.387251625448

STEP 3: Convert Result to Output's Unit

386.387251625448 Pascal -->386.387251625448 Newton per Square Meter (Check conversion here)

FINAL ANSWER

386.387251625448 ≈ 386.3873 Newton per Square Meter <-- Compressive Yield Stress

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Johnson's Parabolic Formula » Compressive Yield Stress 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!

< 11 Johnson's Parabolic Formula Calculators

Effective Length of Column According to Johnson's Parabolic Formula

Go Effective Column Length = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Johnson's formula constant*(1/Least Radius of Gyration Column))

Least Radius of Gyration According to Johnson's Parabolic Formula

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

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

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

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

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

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

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

Constant Depending on Material of Column According to Terms Slenderness Ratio

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

Slenderness Ratio According to Johnson's Parabolic Formula

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

Critical Load on Column According to Johnson's Parabolic Formula given Slenderness Ratio

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

Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio

Go Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Slenderness Ratio

Compressive Yield Stress According to Johnson's Parabolic Formula Formula

Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Effective Column Length/Least Radius of Gyration Column
σ_c = P/A_sectional+r*L_eff/r_least

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 Compressive Yield Stress According to Johnson's Parabolic Formula?

Compressive Yield Stress According to Johnson's Parabolic Formula calculator uses Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Effective Column Length/Least Radius of Gyration Column to calculate the Compressive Yield Stress, The Compressive yield stress according to Johnson's parabolic formula is defined as 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 is denoted by σ_c symbol.

How to calculate Compressive Yield Stress According to Johnson's Parabolic Formula using this online calculator? To use this online calculator for Compressive Yield Stress According to Johnson's Parabolic Formula, enter Critical Load On Column (P), Column Cross Sectional Area (A_sectional), 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 Compressive Yield Stress According to Johnson's Parabolic Formula calculation can be explained with given input values -> 386.3873 = 5/1.4+6*3/0.04702.

FAQ

What is Compressive Yield Stress According to Johnson's Parabolic Formula?

The Compressive yield stress according to Johnson's parabolic formula is defined as stress which causes a material to exhibit a specified deformation. Usually determined from the stress-strain diagram obtained in a compression test and is represented as σ_c = P/A_sectional+r*L_eff/r_least or 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 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, 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 Compressive Yield Stress According to Johnson's Parabolic Formula?

The Compressive yield stress according to Johnson's parabolic formula is defined as stress which causes a material to exhibit a specified deformation. Usually determined from the stress-strain diagram obtained in a compression test is calculated using Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Effective Column Length/Least Radius of Gyration Column. To calculate Compressive Yield Stress According to Johnson's Parabolic Formula, you need Critical Load On Column (P), Column Cross Sectional Area (A_sectional), 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, Column Cross Sectional Area, 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 Compressive Yield Stress?

In this formula, Compressive Yield Stress uses Critical Load On Column, Column Cross Sectional Area, 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 -

Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Slenderness Ratio

Home

FREE PDFs

🔍 Search