FormulaDen.com

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

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged Formula

Fx Copy

LaTeX Copy

Modulus of Elasticity of Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it. Check FAQs

E = \frac{P \cdot l^{2}}{π^{2} \cdot I}

E - Modulus of Elasticity of Column?P - Column Crippling Load?l - Column Length?I - Moment of Inertia Column?π - Archimedes' constant?

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged Example

With values

With units

Only example

Here is how the Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged equation looks like with Values.

Here is how the Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged equation looks like with Units.

Here is how the Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged equation looks like.

135.698 = \frac{3 \cdot 5000^{2}}{{3.1416}^{2} \cdot 5600}

135.698MPa = \frac{3kN \cdot {5000mm}^{2}}{{3.1416}^{2} \cdot 5600cm⁴}

135.698 = \frac{3 \cdot 5000^{2}}{{3.1416}^{2} \cdot 5600}

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 Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged?

FIRST Step Consider the formula

E = \frac{P \cdot l^{2}}{π^{2} \cdot I}

Next Step Substitute values of Variables

∴

E = \frac{3kN \cdot {5000mm}^{2}}{π^{2} \cdot 5600cm⁴}

Next Step Substitute values of Constants

∴

E = \frac{3kN \cdot {5000mm}^{2}}{{3.1416}^{2} \cdot 5600cm⁴}

Next Step Convert Units

∴

E = \frac{3000N \cdot {5m}^{2}}{{3.1416}^{2} \cdot 5.6E-5m⁴}

Next Step Prepare to Evaluate

∴

E = \frac{3000 \cdot 5^{2}}{{3.1416}^{2} \cdot 5.6E-5}

Next Step Evaluate

∴

E = 135698013.806702Pa

Next Step Convert to Output's Unit

∴

E = 135.698013806702MPa

LAST Step Rounding Answer

∴

E = 135.698MPa

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged Formula Elements

Variables

Constants

Modulus of Elasticity of Column

Modulus of Elasticity of Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Column

Column Crippling Load

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

Symbol: P

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Column Crippling Load

Column Length

Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Column Length

Moment of Inertia Column

Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Second Moment of AreaUnit: cm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia Column

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Both Ends of Columns are Hinged category

Go Moment due to Crippling Load at Section if Both Ends of Column are Hinged

M t = - P \cdot δ

Go Crippling Load given Moment at Section if Both Ends of Column are Hinged

P = - \frac{M t}{δ}

Go Deflection at Section given Moment at Section if Both Ends of Column are Hinged

δ = - \frac{M t}{P}

Go Crippling Load when Both Ends of Column are Hinged

P = \frac{π^{2} \cdot E \cdot I}{l^{2}}

How to Evaluate Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged?

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged evaluator uses Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column) to evaluate the Modulus of Elasticity of Column, Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged formula is defined as a measure of the ratio of stress and strain within the proportional limit of a material, providing insight into the material's stiffness and ability to resist deformation under load. Modulus of Elasticity of Column is denoted by E symbol.

How to evaluate Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged using this online evaluator? To use this online evaluator for Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged, enter Column Crippling Load (P), Column Length (l) & Moment of Inertia Column (I) and hit the calculate button.

FAQs on Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged

What is the formula to find Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged?

The formula of Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged is expressed as Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column). Here is an example- 0.000136 = (3000*5^2)/(pi^2*5.6E-05).

How to calculate Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged?

With Column Crippling Load (P), Column Length (l) & Moment of Inertia Column (I) we can find Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged using the formula - Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column). This formula also uses Archimedes' constant .

Can the Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged be negative?

No, the Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged?

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged Formula

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged Example

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged Solution

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged Formula Elements

Other formulas in Both Ends of Columns are Hinged category

How to Evaluate Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged?

FAQs on Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged

Variable Name