Modulus of Elasticity given Deflection in Leaf Spring and Moment Calculator

✖Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend.ⓘ Bending Moment [M]			+10% -10%
✖Length in Spring is the measurement or extent of something from end to end.ⓘ Length in Spring [L]			+10% -10%
✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%
✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia [I]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Modulus of Elasticity given Deflection in Leaf Spring and Moment [E]

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Modulus of Elasticity given Deflection in Leaf Spring and Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (Bending Moment*Length in Spring^2)/(8*Deflection of Spring*Area Moment of Inertia)
E = (M*L^2)/(8*δ*I)
This formula uses 5 Variables

Variables Used

Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Bending Moment - (Measured in Newton Meter) - Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend.
Length in Spring - (Measured in Meter) - Length in Spring is the measurement or extent of something from end to end.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 67.5 Kilonewton Meter --> 67500 Newton Meter (Check conversion here)
Length in Spring: 4170 Millimeter --> 4.17 Meter (Check conversion here)
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (M*L^2)/(8*δ*I) --> (67500*4.17^2)/(8*0.0034*0.0016)

Evaluating ... ...

E = 26970375689.3382

STEP 3: Convert Result to Output's Unit

26970375689.3382 Pascal -->26970.3756893382 Megapascal (Check conversion here)

FINAL ANSWER

26970.3756893382 ≈ 26970.38 Megapascal <-- Young's Modulus

(Calculation completed in 00.020 seconds)

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< Leaf Springs Calculators

Length given Deflection in Leaf Spring

LaTeX Go Length in Spring = sqrt((8*Deflection of Spring*Young's Modulus*Area Moment of Inertia)/Bending Moment)

Deflection in Leaf Spring given Moment

LaTeX Go Deflection of Spring = ((Bending Moment*Length in Spring^2)/(8*Young's Modulus*Area Moment of Inertia))

Moment of Inertia given Deflection in Leaf Spring

LaTeX Go Area Moment of Inertia = (Bending Moment*Length in Spring^2)/(8*Young's Modulus*Deflection of Spring)

Moment given Deflection in Leaf Spring

LaTeX Go Bending Moment = (8*Deflection of Spring*Young's Modulus*Area Moment of Inertia)/Length in Spring^2

Modulus of Elasticity given Deflection in Leaf Spring and Moment Formula

LaTeX Go

Young's Modulus = (Bending Moment*Length in Spring^2)/(8*Deflection of Spring*Area Moment of Inertia)
E = (M*L^2)/(8*δ*I)

What is Leaf Spring?

A leaf spring takes the form of a slender arc-shaped length of spring steel of rectangular cross-section. In the most common configuration, the center of the arc provides location for the axle, while loops formed at either end provide for attaching to the vehicle chassis. For very heavy vehicles, a leaf spring can be made from several leaves stacked on top of each other in several layers, often with progressively shorter leaves.

How to Calculate Modulus of Elasticity given Deflection in Leaf Spring and Moment?

Modulus of Elasticity given Deflection in Leaf Spring and Moment calculator uses Young's Modulus = (Bending Moment*Length in Spring^2)/(8*Deflection of Spring*Area Moment of Inertia) to calculate the Young's Modulus, The Modulus of Elasticity given Deflection in Leaf Spring and Moment formula is defined as the measure of an object's or substance's resistance to being deformed elastically when stress is applied. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity given Deflection in Leaf Spring and Moment using this online calculator? To use this online calculator for Modulus of Elasticity given Deflection in Leaf Spring and Moment, enter Bending Moment (M), Length in Spring (L), Deflection of Spring (δ) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Modulus of Elasticity given Deflection in Leaf Spring and Moment calculation can be explained with given input values -> 0.02697 = (67500*4.17^2)/(8*0.0034*0.0016).

FAQ

What is Modulus of Elasticity given Deflection in Leaf Spring and Moment?

The Modulus of Elasticity given Deflection in Leaf Spring and Moment formula is defined as the measure of an object's or substance's resistance to being deformed elastically when stress is applied and is represented as E = (M*L^2)/(8*δ*I) or Young's Modulus = (Bending Moment*Length in Spring^2)/(8*Deflection of Spring*Area Moment of Inertia). Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend, Length in Spring is the measurement or extent of something from end to end, Deflection of Spring is how a spring responds when force is applied or released & Area Moment of Inertia is a moment about the centroidal axis without considering mass.

How to calculate Modulus of Elasticity given Deflection in Leaf Spring and Moment?

The Modulus of Elasticity given Deflection in Leaf Spring and Moment formula is defined as the measure of an object's or substance's resistance to being deformed elastically when stress is applied is calculated using Young's Modulus = (Bending Moment*Length in Spring^2)/(8*Deflection of Spring*Area Moment of Inertia). To calculate Modulus of Elasticity given Deflection in Leaf Spring and Moment, you need Bending Moment (M), Length in Spring (L), Deflection of Spring (δ) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Bending Moment, Length in Spring, Deflection of Spring & Area Moment of Inertia and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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