Moment given Deflection in Leaf Spring Calculator

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia [I]			+10% -10%
✖Length in Spring is the measurement or extent of something from end to end.ⓘ Length in Spring [L]			+10% -10%

✖Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend.ⓘ Moment given Deflection in Leaf Spring [M]

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Moment given Deflection in Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
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.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.
Length in Spring - (Measured in Meter) - Length in Spring is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required
Length in Spring: 4170 Millimeter --> 4.17 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (8*δ*E*I)/L^2 --> (8*0.0034*20000000000*0.0016)/4.17^2

Evaluating ... ...

M = 50054.9200927028

STEP 3: Convert Result to Output's Unit

50054.9200927028 Newton Meter -->50.0549200927028 Kilonewton Meter (Check conversion here)

FINAL ANSWER

50.0549200927028 ≈ 50.05492 Kilonewton Meter <-- Bending Moment

(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

Moment given Deflection in Leaf Spring Formula

LaTeX Go

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

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 Moment given Deflection in Leaf Spring?

Moment given Deflection in Leaf Spring calculator uses Bending Moment = (8*Deflection of Spring*Young's Modulus*Area Moment of Inertia)/Length in Spring^2 to calculate the Bending Moment, The Moment given Deflection in Leaf Spring formula is defined as the moment that results in the given deflection. Bending Moment is denoted by M symbol.

How to calculate Moment given Deflection in Leaf Spring using this online calculator? To use this online calculator for Moment given Deflection in Leaf Spring, enter Deflection of Spring (δ), Young's Modulus (E), Area Moment of Inertia (I) & Length in Spring (L) and hit the calculate button. Here is how the Moment given Deflection in Leaf Spring calculation can be explained with given input values -> 0.050055 = (8*0.0034*20000000000*0.0016)/4.17^2.

FAQ

What is Moment given Deflection in Leaf Spring?

The Moment given Deflection in Leaf Spring formula is defined as the moment that results in the given deflection and is represented as M = (8*δ*E*I)/L^2 or Bending Moment = (8*Deflection of Spring*Young's Modulus*Area Moment of Inertia)/Length in Spring^2. Deflection of Spring is how a spring responds when force is applied or released, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Area Moment of Inertia is a moment about the centroidal axis without considering mass & Length in Spring is the measurement or extent of something from end to end.

How to calculate Moment given Deflection in Leaf Spring?

The Moment given Deflection in Leaf Spring formula is defined as the moment that results in the given deflection is calculated using Bending Moment = (8*Deflection of Spring*Young's Modulus*Area Moment of Inertia)/Length in Spring^2. To calculate Moment given Deflection in Leaf Spring, you need Deflection of Spring (δ), Young's Modulus (E), Area Moment of Inertia (I) & Length in Spring (L). With our tool, you need to enter the respective value for Deflection of Spring, Young's Modulus, Area Moment of Inertia & Length in Spring 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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