Deflection in Leaf Spring given 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%
✖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%

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection in Leaf Spring given Moment [δ]

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Deflection in Leaf Spring given Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
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.
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.

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)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (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

δ = ((M*L^2)/(8*E*I)) --> ((67500*4.17^2)/(8*20000000000*0.0016))

Evaluating ... ...

δ = 0.0045849638671875

STEP 3: Convert Result to Output's Unit

0.0045849638671875 Meter -->4.5849638671875 Millimeter (Check conversion here)

FINAL ANSWER

4.5849638671875 ≈ 4.584964 Millimeter <-- Deflection of Spring

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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

Deflection in Leaf Spring given Moment Formula

LaTeX Go

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

Deflection in Leaf Spring given Moment calculator uses Deflection of Spring = ((Bending Moment*Length in Spring^2)/(8*Young's Modulus*Area Moment of Inertia)) to calculate the Deflection of Spring, The Deflection in Leaf Spring given Moment formula is defined as the maximum distance moved by a fiber from the neutral axis when the spring is loaded. Deflection of Spring is denoted by δ symbol.

How to calculate Deflection in Leaf Spring given Moment using this online calculator? To use this online calculator for Deflection in Leaf Spring given Moment, enter Bending Moment (M), Length in Spring (L), Young's Modulus (E) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Deflection in Leaf Spring given Moment calculation can be explained with given input values -> 4584.964 = ((67500*4.17^2)/(8*20000000000*0.0016)).

FAQ

What is Deflection in Leaf Spring given Moment?

The Deflection in Leaf Spring given Moment formula is defined as the maximum distance moved by a fiber from the neutral axis when the spring is loaded and is represented as δ = ((M*L^2)/(8*E*I)) or Deflection of Spring = ((Bending Moment*Length in Spring^2)/(8*Young's Modulus*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, 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.

How to calculate Deflection in Leaf Spring given Moment?

The Deflection in Leaf Spring given Moment formula is defined as the maximum distance moved by a fiber from the neutral axis when the spring is loaded is calculated using Deflection of Spring = ((Bending Moment*Length in Spring^2)/(8*Young's Modulus*Area Moment of Inertia)). To calculate Deflection in Leaf Spring given Moment, you need Bending Moment (M), Length in Spring (L), Young's Modulus (E) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Bending Moment, Length in Spring, Young's Modulus & 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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