FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

Fx Copy

LaTeX Copy

Critical Load On Column is the greatest load that will not cause lateral deflection (buckling). Check FAQs

P = (σ c - (r \cdot (\frac{L eff}{r least}))) \cdot A sectional

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

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

With values

With units

Only example

Here is how the Critical Load on Column According to Johnson's Parabolic Formula equation looks like with Values.

Here is how the Critical Load on Column According to Johnson's Parabolic Formula equation looks like with Units.

Here is how the Critical Load on Column According to Johnson's Parabolic Formula equation looks like.

52.0578 = (420 - (6 \cdot (\frac{3000}{47.02}))) \cdot 1.4

52.0578N = (420N/m² - (6 \cdot (\frac{3000mm}{47.02mm}))) \cdot 1.4m²

52.0578 = (420 - (6 \cdot (\frac{3000}{47.02}))) \cdot 1.4

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Critical Load on Column According to Johnson's Parabolic Formula

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

Follow our step by step solution on how to calculate Critical Load on Column According to Johnson's Parabolic Formula?

FIRST Step Consider the formula

P = (σ c - (r \cdot (\frac{L eff}{r least}))) \cdot A sectional

Next Step Substitute values of Variables

∴

P = (420N/m² - (6 \cdot (\frac{3000mm}{47.02mm}))) \cdot 1.4m²

Next Step Convert Units

∴

P = (420Pa - (6 \cdot (\frac{3m}{0.047m}))) \cdot 1.4m²

Next Step Prepare to Evaluate

∴

P = (420 - (6 \cdot (\frac{3}{0.047}))) \cdot 1.4

Next Step Evaluate

∴

P = 52.0578477243726N

LAST Step Rounding Answer

∴

P = 52.0578N

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

Variables

Critical Load On Column

Critical Load On Column is the greatest load that will not cause lateral deflection (buckling).

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Critical Load On Column

Compressive Yield Stress

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.

Symbol: σ_c

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Compressive Yield Stress

Johnson's formula constant

Johnson's formula constant is defined as the constant that depends on the material of column.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Johnson's formula constant

Effective Column Length

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.

Symbol: L_eff

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Column Length

Least Radius of Gyration Column

Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

Symbol: r_least

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Least Radius of Gyration Column

Column Cross Sectional Area

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.

Symbol: A_sectional

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Column Cross Sectional Area

Other Formulas to find Critical Load On Column

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

P = (σ c - (r \cdot λ)) \cdot A sectional

Other formulas in Johnson's Parabolic Formula category

Go Compressive Yield Stress According to Johnson's Parabolic Formula

σ c = \frac{P}{A sectional} + r \cdot \frac{L eff}{r least}

Go Cross-Sectional Area of Column According to Johnson's Parabolic Formula

A sectional = \frac{P}{σ c - (r \cdot (\frac{L eff}{r least}))}

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

r = \frac{σ c - (\frac{P}{A sectional})}{\frac{L eff}{r least}}

Go Effective Length of Column According to Johnson's Parabolic Formula

L eff = \frac{σ c - (\frac{P}{A sectional})}{r \cdot (\frac{1}{r least})}

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

Critical Load on Column According to Johnson's Parabolic Formula evaluator 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 evaluate 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 evaluate Critical Load on Column According to Johnson's Parabolic Formula using this online evaluator? To use this online evaluator 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.

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

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

The formula of Critical Load on Column According to Johnson's Parabolic Formula is expressed as Critical Load On Column = (Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))*Column Cross Sectional Area. Here is an example- 52.05785 = (420-(6*(3/0.04702)))*1.4.

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

With 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) we can find Critical Load on Column According to Johnson's Parabolic Formula using the formula - Critical Load On Column = (Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))*Column Cross Sectional Area.

What are the other ways to Calculate Critical Load On Column?

Here are the different ways to Calculate Critical Load On Column-

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

Can the Critical Load on Column According to Johnson's Parabolic Formula be negative?

No, the Critical Load on Column According to Johnson's Parabolic Formula, measured in Force cannot be negative.

Which unit is used to measure Critical Load on Column According to Johnson's Parabolic Formula?

Critical Load on Column According to Johnson's Parabolic Formula is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Critical Load on Column According to Johnson's Parabolic Formula can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

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

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

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

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

Other Formulas to find Critical Load On Column

Other formulas in Johnson's Parabolic Formula category

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

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

Variable Name

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