Length of Cantilever given Deflection at end of Spring 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%
✖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%
✖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%
✖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 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 given Deflection at end of Spring [L]

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Length of Cantilever given Deflection at end of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L = (δ*((3*n_f+2*n_g)*E*b*t^3)/(12*P))^(1/3)
This formula uses 8 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.
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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Deflection at End of Leaf Spring: 37.33534 Millimeter --> 0.03733534 Meter (Check conversion here)
Number of Full length Leaves: 3 --> No Conversion Required
Number of Graduated Length Leaves: 15 --> No Conversion Required
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (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)
Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (δ*((3*n_f+2*n_g)*E*b*t^3)/(12*P))^(1/3) --> (0.03733534*((3*3+2*15)*207000000000*0.108*0.012^3)/(12*37500))^(1/3)

Evaluating ... ...

L = 0.5000000115058

STEP 3: Convert Result to Output's Unit

0.5000000115058 Meter -->500.0000115058 Millimeter (Check conversion here)

FINAL ANSWER

500.0000115058 ≈ 500 Millimeter <-- Length of Cantilever of Leaf 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 » Length of Cantilever given Deflection at end of Spring

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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 at end of Spring Formula

LaTeX Go

Define Deflection of the 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.

How to Calculate Length of Cantilever given Deflection at end of Spring?

Length of Cantilever given Deflection at end of Spring calculator uses 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) to calculate the Length of Cantilever of Leaf Spring, Length of Cantilever given Deflection at end of Spring formula is defined as a measure of the length of a cantilever beam in terms of its deflection at the end of the spring, considering factors such as the modulus of elasticity, breadth, and thickness of the beam, as well as the point load applied. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to calculate Length of Cantilever given Deflection at end of Spring using this online calculator? To use this online calculator for Length of Cantilever given Deflection at end of Spring, enter Deflection at End of Leaf Spring (δ), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Modulus of Elasticity of Spring (E), Width of Leaf (b), Thickness of Leaf (t) & Force Applied at End of Leaf Spring (P) and hit the calculate button. Here is how the Length of Cantilever given Deflection at end of Spring calculation can be explained with given input values -> 408248.3 = (0.03733534*((3*3+2*15)*207000000000*0.108*0.012^3)/(12*37500))^(1/3).

FAQ

What is Length of Cantilever given Deflection at end of Spring?

Length of Cantilever given Deflection at end of Spring formula is defined as a measure of the length of a cantilever beam in terms of its deflection at the end of the spring, considering factors such as the modulus of elasticity, breadth, and thickness of the beam, as well as the point load applied and is represented as L = (δ*((3*n_f+2*n_g)*E*b*t^3)/(12*P))^(1/3) or 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). 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, 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, Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming, 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 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.

How to calculate Length of Cantilever given Deflection at end of Spring?

Length of Cantilever given Deflection at end of Spring formula is defined as a measure of the length of a cantilever beam in terms of its deflection at the end of the spring, considering factors such as the modulus of elasticity, breadth, and thickness of the beam, as well as the point load applied is calculated using 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). To calculate Length of Cantilever given Deflection at end of Spring, you need Deflection at End of Leaf Spring (δ), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Modulus of Elasticity of Spring (E), Width of Leaf (b), Thickness of Leaf (t) & Force Applied at End of Leaf Spring (P). With our tool, you need to enter the respective value for Deflection at End of Leaf Spring, Number of Full length Leaves, Number of Graduated Length Leaves, Modulus of Elasticity of Spring, Width of Leaf, Thickness of Leaf & Force Applied at End of Leaf Spring 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, Number of Full length Leaves, Number of Graduated Length Leaves, Modulus of Elasticity of Spring, Width of Leaf, Thickness of Leaf & Force Applied at End of Leaf Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)
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)

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