Length of Cantilever given Deflection of Spring at load point Calculator

✖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%
✖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 [E]			+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%
✖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%
✖Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement.ⓘ Force Taken by Graduated Length Leaves [P_g]			+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 given Deflection of Spring at load point [L]

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Length of Cantilever given Deflection of Spring at load point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cantilever of Leaf Spring = (Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Force Taken by Graduated Length Leaves))^(1/3)
L = (δ*E*n_g*b*t^3/(4*P_g))^(1/3)
This formula uses 7 Variables

Variables Used

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.
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.
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.
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
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.
Force Taken by Graduated Length Leaves - (Measured in Newton) - Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement.

STEP 1: Convert Input(s) to Base Unit

Deflection at End of Leaf Spring: 37.33534 Millimeter --> 0.03733534 Meter (Check conversion here)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Number of Graduated Length Leaves: 15 --> No Conversion Required
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)
Force Taken by Graduated Length Leaves: 43269.23 Newton --> 43269.23 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (δ*E*n_g*b*t^3/(4*P_g))^(1/3) --> (0.03733534*207000000000*15*0.108*0.012^3/(4*43269.23))^(1/3)

Evaluating ... ...

L = 0.500000014468763

STEP 3: Convert Result to Output's Unit

0.500000014468763 Meter -->500.000014468763 Millimeter (Check conversion here)

FINAL ANSWER

500.000014468763 ≈ 500 Millimeter <-- Length of Cantilever of Leaf Spring

(Calculation completed in 00.012 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Extra Full Length Leaves » Length of Cantilever given Deflection of Spring at load point

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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)

Length of Cantilever given Deflection of Spring at load point Formula

LaTeX Go

Define Deflection of Spring?

Spring deflection, also known as spring travel, is the action of a compression spring compressing (being pushed), an extension spring extending (being pulled), or a torsion spring torquing (radially) when a load is applied or released. A travelled distance is exactly what deflection is.

How to Calculate Length of Cantilever given Deflection of Spring at load point?

Length of Cantilever given Deflection of Spring at load point calculator uses Length of Cantilever of Leaf Spring = (Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Force Taken by Graduated Length Leaves))^(1/3) to calculate the Length of Cantilever of Leaf Spring, Length of Cantilever given Deflection of Spring at load point formula is defined as a measure of the distance from the fixed end to the point of application of the load, which is essential in determining the stability and structural integrity of cantilever beams and springs in various engineering applications. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to calculate Length of Cantilever given Deflection of Spring at load point using this online calculator? To use this online calculator for Length of Cantilever given Deflection of Spring at load point, enter Deflection at End of Leaf Spring (δ), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Graduated Length Leaves (P_g) and hit the calculate button. Here is how the Length of Cantilever given Deflection of Spring at load point calculation can be explained with given input values -> 500000 = (0.03733534*207000000000*15*0.108*0.012^3/(4*43269.23))^(1/3).

FAQ

What is Length of Cantilever given Deflection of Spring at load point?

Length of Cantilever given Deflection of Spring at load point formula is defined as a measure of the distance from the fixed end to the point of application of the load, which is essential in determining the stability and structural integrity of cantilever beams and springs in various engineering applications and is represented as L = (δ*E*n_g*b*t^3/(4*P_g))^(1/3) or Length of Cantilever of Leaf Spring = (Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Force Taken by Graduated Length Leaves))^(1/3). 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, Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, 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 & Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement.

How to calculate Length of Cantilever given Deflection of Spring at load point?

Length of Cantilever given Deflection of Spring at load point formula is defined as a measure of the distance from the fixed end to the point of application of the load, which is essential in determining the stability and structural integrity of cantilever beams and springs in various engineering applications is calculated using Length of Cantilever of Leaf Spring = (Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Force Taken by Graduated Length Leaves))^(1/3). To calculate Length of Cantilever given Deflection of Spring at load point, you need Deflection at End of Leaf Spring (δ), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Graduated Length Leaves (P_g). With our tool, you need to enter the respective value for Deflection at End of Leaf Spring, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Force Taken by Graduated Length Leaves 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 Length of Cantilever of Leaf Spring?

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

Length of Cantilever of Leaf Spring = Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Force Applied at End of Leaf Spring)
Length of Cantilever of Leaf Spring = (Deflection at End of Leaf Spring*((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)/(12*Force Applied at End of Leaf Spring))^(1/3)

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