Modulus of Elasticity of Spring given Deflection at end of Spring Calculator

✖Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.ⓘ Force Applied at End of Leaf Spring [P]			+10% -10%
✖Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%
✖Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.ⓘ Number of Full length Leaves [n_f]			+10% -10%
✖Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.ⓘ Number of Graduated Length Leaves [n_g]			+10% -10%
✖Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied.ⓘ Deflection at End of Leaf Spring [δ]			+10% -10%
✖Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.ⓘ Width of Leaf [b]			+10% -10%
✖Thickness of Leaf is the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.ⓘ Thickness of Leaf [t]			+10% -10%

✖Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming.ⓘ Modulus of Elasticity of Spring given Deflection at end of Spring [E]

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Modulus of Elasticity of Spring given Deflection at end of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity of Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3)
E = 12*P*(L^3)/((3*n_f+2*n_g)*δ*b*t^3)
This formula uses 8 Variables

Variables Used

Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming.
Force Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.
Length of Cantilever of Leaf Spring - (Measured in Meter) - Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.
Number of Full length Leaves - Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
Deflection at End of Leaf Spring - (Measured in Meter) - Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied.
Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.
Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.

STEP 1: Convert Input(s) to Base Unit

Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion here)
Number of Full length Leaves: 3 --> No Conversion Required
Number of Graduated Length Leaves: 15 --> No Conversion Required
Deflection at End of Leaf Spring: 37.33534 Millimeter --> 0.03733534 Meter (Check conversion here)
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = 12*P*(L^3)/((3*n_f+2*n_g)*δ*b*t^3) --> 12*37500*(0.5^3)/((3*3+2*15)*0.03733534*0.108*0.012^3)

Evaluating ... ...

E = 206999985709.797

STEP 3: Convert Result to Output's Unit

206999985709.797 Pascal -->206999.985709797 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

206999.985709797 ≈ 207000 Newton per Square Millimeter <-- Modulus of Elasticity of Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Extra Full Length Leaves » Modulus of Elasticity of Spring given Deflection at end of Spring

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Osmania University (OU), Hyderabad

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< Extra Full Length Leaves Calculators

Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves

LaTeX Go Modulus of Elasticity of Spring = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection of Graduated Leaf at Load Point*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)

Deflection at Load Point Graduated Length Leaves

LaTeX Go Deflection of Graduated Leaf at Load Point = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)

Bending Stress in Plate Graduated Length Leaves

LaTeX Go Bending Stress in Full Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2)

Bending Stress in Plate Extra Full Length

LaTeX Go Bending Stress in Full Leaf = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2)

Modulus of Elasticity of Spring given Deflection at end of Spring Formula

LaTeX Go

Define Young's Modulus?

Young’s Modulus (also referred to as the Elastic Modulus or Tensile Modulus), is a measure of mechanical properties of linear elastic solids like rods, wires, and such. There are other numbers that give us a measure of elastic properties of a material, like Bulk modulus and shear modulus, but the value of Young’s Modulus is most commonly used. This is because it gives us information about the tensile elasticity of a material .

How to Calculate Modulus of Elasticity of Spring given Deflection at end of Spring?

Modulus of Elasticity of Spring given Deflection at end of Spring calculator uses Modulus of Elasticity of Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3) to calculate the Modulus of Elasticity of Spring, Modulus of Elasticity of Spring given Deflection at end of Spring formula is defined as a measure of the spring's stiffness, which is the ratio of stress to strain within the proportional limit of the material, and is used to describe the spring's ability to resist deformation under an applied load. Modulus of Elasticity of Spring is denoted by E symbol.

How to calculate Modulus of Elasticity of Spring given Deflection at end of Spring using this online calculator? To use this online calculator for Modulus of Elasticity of Spring given Deflection at end of Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Deflection at End of Leaf Spring (δ), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Modulus of Elasticity of Spring given Deflection at end of Spring calculation can be explained with given input values -> 0.207 = 12*37500*(0.5^3)/((3*3+2*15)*0.03733534*0.108*0.012^3).

FAQ

What is Modulus of Elasticity of Spring given Deflection at end of Spring?

Modulus of Elasticity of Spring given Deflection at end of Spring formula is defined as a measure of the spring's stiffness, which is the ratio of stress to strain within the proportional limit of the material, and is used to describe the spring's ability to resist deformation under an applied load and is represented as E = 12*P*(L^3)/((3*n_f+2*n_g)*δ*b*t^3) or Modulus of Elasticity of Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3). Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance, Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system, Number of Full Length Leaves is the count of leaves that have reached their maximum possible length, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring & Thickness of Leaf is the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.

How to calculate Modulus of Elasticity of Spring given Deflection at end of Spring?

Modulus of Elasticity of Spring given Deflection at end of Spring formula is defined as a measure of the spring's stiffness, which is the ratio of stress to strain within the proportional limit of the material, and is used to describe the spring's ability to resist deformation under an applied load is calculated using Modulus of Elasticity of Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3). To calculate Modulus of Elasticity of Spring given Deflection at end of Spring, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Deflection at End of Leaf Spring (δ), Width of Leaf (b) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Number of Graduated Length Leaves, Deflection at End of Leaf Spring, Width of Leaf & Thickness of Leaf and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Modulus of Elasticity of Spring?

In this formula, Modulus of Elasticity of Spring uses Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Number of Graduated Length Leaves, Deflection at End of Leaf Spring, Width of Leaf & Thickness of Leaf. We can use 2 other way(s) to calculate the same, which is/are as follows -

Modulus of Elasticity of Spring = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection of Graduated Leaf at Load Point*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Modulus of Elasticity of Spring = 4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection at End of Leaf Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)

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