Compressive Yield Stress 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%
✖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%
✖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%

✖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 given Slenderness Ratio [σ_c]

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

STEP 0: Pre-Calculation Summary

Formula Used

Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Slenderness Ratio
σ_c = P/A_sectional+r*λ
This formula uses 5 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.
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
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Johnson's formula constant: 6 --> No Conversion Required
Slenderness Ratio: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = P/A_sectional+r*λ --> 5/1.4+6*0.5

Evaluating ... ...

σ_c = 6.57142857142857

STEP 3: Convert Result to Output's Unit

6.57142857142857 Pascal -->6.57142857142857 Newton per Square Meter (Check conversion here)

FINAL ANSWER

6.57142857142857 ≈ 6.571429 Newton per Square Meter <-- Compressive Yield Stress

(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

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

LaTeX Go

Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Slenderness Ratio
σ_c = P/A_sectional+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 Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio?

Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio calculator uses Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Slenderness Ratio to calculate the Compressive Yield Stress, Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio formula is defined as a measure of the compressive stress a column can withstand before it buckles, taking into account the slenderness ratio of the column, which is a critical parameter in structural engineering design. Compressive Yield Stress is denoted by σ_c symbol.

How to calculate Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio using this online calculator? To use this online calculator for Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio, enter Critical Load On Column (P), Column Cross Sectional Area (A_sectional), Johnson's formula constant (r) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio calculation can be explained with given input values -> 6.571429 = 5/1.4+6*0.5.

FAQ

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

Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio formula is defined as a measure of the compressive stress a column can withstand before it buckles, taking into account the slenderness ratio of the column, which is a critical parameter in structural engineering design and is represented as σ_c = P/A_sectional+r*λ or Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Slenderness Ratio. 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 & 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 Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio?

Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio formula is defined as a measure of the compressive stress a column can withstand before it buckles, taking into account the slenderness ratio of the column, which is a critical parameter in structural engineering design is calculated using Compressive Yield Stress = Critical Load On Column/Column Cross Sectional Area+Johnson's formula constant*Slenderness Ratio. To calculate Compressive Yield Stress According to Johnson's Parabolic Formula given Slenderness Ratio, you need Critical Load On Column (P), Column Cross Sectional Area (A_sectional), Johnson's formula constant (r) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Critical Load On Column, Column Cross Sectional Area, 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 Compressive Yield Stress?

In this formula, Compressive Yield Stress uses Critical Load On Column, Column Cross Sectional Area, Johnson's formula constant & Slenderness Ratio. 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*Effective Column Length/Least Radius of Gyration Column

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