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 = (σc-(P/Asectional))/(Leff/rleast)
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 = (σc-(P/Asectional))/(Leff/rleast) --> (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)

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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

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

Johnson's formula constant = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Effective Column Length/Least Radius of Gyration Column)
r = (σc-(P/Asectional))/(Leff/rleast)

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, The Constant depending on material of column according to Johnson's parabolic formula formula is defined as the constant which depends on the material of column. 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 c), Critical Load On Column (P), Column Cross Sectional Area (Asectional), Effective Column Length (Leff) & Least Radius of Gyration Column (rleast) 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?
The Constant depending on material of column according to Johnson's parabolic formula formula is defined as the constant which depends on the material of column and is represented as r = (σc-(P/Asectional))/(Leff/rleast) 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?
The Constant depending on material of column according to Johnson's parabolic formula formula is defined as the constant which depends on the material of column 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 c), Critical Load On Column (P), Column Cross Sectional Area (Asectional), Effective Column Length (Leff) & Least Radius of Gyration Column (rleast). 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)
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