FormulaDen.com

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

Moment of Inertia given Deflection in Leaf Spring Formula

Fx Copy

LaTeX Copy

Area Moment of Inertia is a moment about the centroidal axis without considering mass. Check FAQs

I = \frac{M \cdot L^{2}}{8 \cdot E \cdot δ}

I - Area Moment of Inertia?M - Bending Moment?L - Length in Spring?E - Young's Modulus?δ - Deflection of Spring?

Moment of Inertia given Deflection in Leaf Spring Example

With values

With units

Only example

Here is how the Moment of Inertia given Deflection in Leaf Spring equation looks like with Values.

Here is how the Moment of Inertia given Deflection in Leaf Spring equation looks like with Units.

Here is how the Moment of Inertia given Deflection in Leaf Spring equation looks like.

0.0022 = \frac{67.5 \cdot 4170^{2}}{8 \cdot 20000 \cdot 3.4}

0.0022m⁴ = \frac{67.5kN*m \cdot {4170mm}^{2}}{8 \cdot 20000MPa \cdot 3.4mm}

0.0022 = \frac{67.5 \cdot 4170^{2}}{8 \cdot 20000 \cdot 3.4}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Moment of Inertia given Deflection in Leaf Spring

Moment of Inertia given Deflection in Leaf Spring Solution

Follow our step by step solution on how to calculate Moment of Inertia given Deflection in Leaf Spring?

FIRST Step Consider the formula

I = \frac{M \cdot L^{2}}{8 \cdot E \cdot δ}

Next Step Substitute values of Variables

∴

I = \frac{67.5kN*m \cdot {4170mm}^{2}}{8 \cdot 20000MPa \cdot 3.4mm}

Next Step Convert Units

∴

I = \frac{67500N*m \cdot {4.17m}^{2}}{8 \cdot 2E+10Pa \cdot 0.0034m}

Next Step Prepare to Evaluate

∴

I = \frac{67500 \cdot {4.17}^{2}}{8 \cdot 2E+10 \cdot 0.0034}

Next Step Evaluate

∴

I = 0.00215763005514706m⁴

LAST Step Rounding Answer

∴

I = 0.0022m⁴

Moment of Inertia given Deflection in Leaf Spring Formula Elements

Variables

Area Moment of Inertia

Area Moment of Inertia is a moment about the centroidal axis without considering mass.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Bending Moment

Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend.

Symbol: M

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Length in Spring

Length in Spring is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Length in Spring

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Other formulas in Leaf Springs category

Go Deflection in Leaf Spring given Moment

δ = (\frac{M \cdot L^{2}}{8 \cdot E \cdot I})

Go Moment given Deflection in Leaf Spring

M = \frac{8 \cdot δ \cdot E \cdot I}{L^{2}}

Go Length given Deflection in Leaf Spring

L = \sqrt{\frac{8 \cdot δ \cdot E \cdot I}{M}}

Go Modulus of Elasticity given Deflection in Leaf Spring and Moment

E = \frac{M \cdot L^{2}}{8 \cdot δ \cdot I}

How to Evaluate Moment of Inertia given Deflection in Leaf Spring?

Moment of Inertia given Deflection in Leaf Spring evaluator uses Area Moment of Inertia = (Bending Moment*Length in Spring^2)/(8*Young's Modulus*Deflection of Spring) to evaluate the Area Moment of Inertia, Moment of Inertia given Deflection in Leaf Spring formula is defined as quantity that determines torque needed for desired angular acceleration about rotational axis, akin to how mass determines force needed for desired acceleration. Area Moment of Inertia is denoted by I symbol.

How to evaluate Moment of Inertia given Deflection in Leaf Spring using this online evaluator? To use this online evaluator for Moment of Inertia given Deflection in Leaf Spring, enter Bending Moment (M), Length in Spring (L), Young's Modulus (E) & Deflection of Spring (δ) and hit the calculate button.

FAQs on Moment of Inertia given Deflection in Leaf Spring

What is the formula to find Moment of Inertia given Deflection in Leaf Spring?

The formula of Moment of Inertia given Deflection in Leaf Spring is expressed as Area Moment of Inertia = (Bending Moment*Length in Spring^2)/(8*Young's Modulus*Deflection of Spring). Here is an example- 0.002158 = (67500*4.17^2)/(8*20000000000*0.0034).

How to calculate Moment of Inertia given Deflection in Leaf Spring?

With Bending Moment (M), Length in Spring (L), Young's Modulus (E) & Deflection of Spring (δ) we can find Moment of Inertia given Deflection in Leaf Spring using the formula - Area Moment of Inertia = (Bending Moment*Length in Spring^2)/(8*Young's Modulus*Deflection of Spring).

Can the Moment of Inertia given Deflection in Leaf Spring be negative?

No, the Moment of Inertia given Deflection in Leaf Spring, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia given Deflection in Leaf Spring?

Moment of Inertia given Deflection in Leaf Spring is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Moment of Inertia given Deflection in Leaf Spring can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Moment of Inertia given Deflection in Leaf Spring Formula

Moment of Inertia given Deflection in Leaf Spring Example

Moment of Inertia given Deflection in Leaf Spring Solution

Moment of Inertia given Deflection in Leaf Spring Formula Elements

Other formulas in Leaf Springs category

How to Evaluate Moment of Inertia given Deflection in Leaf Spring?

FAQs on Moment of Inertia given Deflection in Leaf Spring

Variable Name