FormulaDen.com

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

Crippling Load given Rankine's Constant Formula

Fx Copy

LaTeX Copy

Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself. Check FAQs

P = \frac{σ c \cdot A}{1 + α \cdot {(\frac{L eff}{r least})}^{2}}

P - Crippling Load?σ_c - Column Crushing Stress?A - Column Cross Sectional Area?α - Rankine's Constant?L_eff - Effective Column Length?r_least - Least Radius of Gyration Column?

Crippling Load given Rankine's Constant Example

With values

With units

Only example

Here is how the Crippling Load given Rankine's Constant equation looks like with Values.

Here is how the Crippling Load given Rankine's Constant equation looks like with Units.

Here is how the Crippling Load given Rankine's Constant equation looks like.

588.9524 = \frac{750 \cdot 2000}{1 + 0.0004 \cdot {(\frac{3000}{47.02})}^{2}}

588.9524kN = \frac{750MPa \cdot 2000mm²}{1 + 0.0004 \cdot {(\frac{3000mm}{47.02mm})}^{2}}

588.9524 = \frac{750 \cdot 2000}{1 + 0.0004 \cdot {(\frac{3000}{47.02})}^{2}}

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 Crippling Load given Rankine's Constant

Crippling Load given Rankine's Constant Solution

Follow our step by step solution on how to calculate Crippling Load given Rankine's Constant?

FIRST Step Consider the formula

P = \frac{σ c \cdot A}{1 + α \cdot {(\frac{L eff}{r least})}^{2}}

Next Step Substitute values of Variables

∴

P = \frac{750MPa \cdot 2000mm²}{1 + 0.0004 \cdot {(\frac{3000mm}{47.02mm})}^{2}}

Next Step Convert Units

∴

P = \frac{7.5E+8Pa \cdot 0.002m²}{1 + 0.0004 \cdot {(\frac{3m}{0.047m})}^{2}}

Next Step Prepare to Evaluate

∴

P = \frac{7.5E+8 \cdot 0.002}{1 + 0.0004 \cdot {(\frac{3}{0.047})}^{2}}

Next Step Evaluate

∴

P = 588952.413196345N

Next Step Convert to Output's Unit

∴

P = 588.952413196345kN

LAST Step Rounding Answer

∴

P = 588.9524kN

Crippling Load given Rankine's Constant Formula Elements

Variables

Crippling Load

Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Crippling Load

Column Crushing Stress

Column Crushing Stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.

Symbol: σ_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Column Crushing Stress

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

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Column Cross Sectional Area

Rankine's Constant

Rankine's Constant is the constant of Rankine's empirical formula.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rankine's 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 should be greater than 0.

Formulas to find Least Radius of Gyration Column

Other formulas in Euler and Rankine's Theory category

Go Crippling Load by Rankine's

P r = \frac{P c \cdot P E}{P c + P E}

Go Cross-Sectional Area of Column given Crippling Load and Rankine's Constant

A = \frac{P \cdot (1 + α \cdot {(\frac{L eff}{r least})}^{2})}{σ c}

Go Cross-Sectional Area of Column given Crushing Load

A = \frac{P c}{σ c}

Go Crushing Load by Rankine's Formula

P c = \frac{P r \cdot P E}{P E - P r}

How to Evaluate Crippling Load given Rankine's Constant?

Crippling Load given Rankine's Constant evaluator uses Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2) to evaluate the Crippling Load, The Crippling Load given Rankine's Constant formula is defined as a measure of the maximum load that a column can withstand before it collapses, taking into account the effects of the Rankine's constant, effective length, and least radius of gyration of the column. Crippling Load is denoted by P symbol.

How to evaluate Crippling Load given Rankine's Constant using this online evaluator? To use this online evaluator for Crippling Load given Rankine's Constant, enter Column Crushing Stress (σ_c), Column Cross Sectional Area (A), Rankine's Constant (α), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) and hit the calculate button.

FAQs on Crippling Load given Rankine's Constant

What is the formula to find Crippling Load given Rankine's Constant?

The formula of Crippling Load given Rankine's Constant is expressed as Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2). Here is an example- 0.588952 = (750000000*0.002)/(1+0.00038*(3/0.04702)^2).

How to calculate Crippling Load given Rankine's Constant?

With Column Crushing Stress (σ_c), Column Cross Sectional Area (A), Rankine's Constant (α), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) we can find Crippling Load given Rankine's Constant using the formula - Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2).

Can the Crippling Load given Rankine's Constant be negative?

No, the Crippling Load given Rankine's Constant, measured in Force cannot be negative.

Which unit is used to measure Crippling Load given Rankine's Constant?

Crippling Load given Rankine's Constant is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Crippling Load given Rankine's Constant can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Crippling Load given Rankine's Constant Formula

Crippling Load given Rankine's Constant Example

Crippling Load given Rankine's Constant Solution

Crippling Load given Rankine's Constant Formula Elements

Other formulas in Euler and Rankine's Theory category

How to Evaluate Crippling Load given Rankine's Constant?

FAQs on Crippling Load given Rankine's Constant

Variable Name