Thickness of each leaf 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%
✖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%
✖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%

✖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 each leaf given Deflection at end of Spring [t]

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Thickness of each leaf given Deflection at end of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Leaf = (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)*Modulus of Elasticity of Spring*Width of Leaf*Deflection at End of Leaf Spring))^(1/3)
t = (12*P*(L^3)/((3*n_f+2*n_g)*E*b*δ))^(1/3)
This formula uses 8 Variables

Variables Used

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.
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.
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.
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.

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
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)
Deflection at End of Leaf Spring: 37.33534 Millimeter --> 0.03733534 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (12*P*(L^3)/((3*n_f+2*n_g)*E*b*δ))^(1/3) --> (12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.108*0.03733534))^(1/3)

Evaluating ... ...

t = 0.0119999997238608

STEP 3: Convert Result to Output's Unit

0.0119999997238608 Meter -->11.9999997238608 Millimeter (Check conversion here)

FINAL ANSWER

11.9999997238608 ≈ 12 Millimeter <-- Thickness of Leaf

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Extra Full Length Leaves » Thickness of each leaf 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)

Thickness of each leaf 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 Thickness of each leaf given Deflection at end of Spring?

Thickness of each leaf given Deflection at end of Spring calculator uses Thickness of Leaf = (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)*Modulus of Elasticity of Spring*Width of Leaf*Deflection at End of Leaf Spring))^(1/3) to calculate the Thickness of Leaf, Thickness of each leaf given Deflection at end of Spring formula is defined as the measure of the thickness of each leaf in a spring, considering the deflection at the end of the spring, and is influenced by factors such as the load, length, and material properties of the spring. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of each leaf given Deflection at end of Spring using this online calculator? To use this online calculator for Thickness of each leaf 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), Modulus of Elasticity of Spring (E), Width of Leaf (b) & Deflection at End of Leaf Spring (δ) and hit the calculate button. Here is how the Thickness of each leaf given Deflection at end of Spring calculation can be explained with given input values -> 12000 = (12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.108*0.03733534))^(1/3).

FAQ

What is Thickness of each leaf given Deflection at end of Spring?

Thickness of each leaf given Deflection at end of Spring formula is defined as the measure of the thickness of each leaf in a spring, considering the deflection at the end of the spring, and is influenced by factors such as the load, length, and material properties of the spring and is represented as t = (12*P*(L^3)/((3*n_f+2*n_g)*E*b*δ))^(1/3) or Thickness of Leaf = (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)*Modulus of Elasticity of Spring*Width of Leaf*Deflection at End of Leaf Spring))^(1/3). 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, 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 & 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.

How to calculate Thickness of each leaf given Deflection at end of Spring?

Thickness of each leaf given Deflection at end of Spring formula is defined as the measure of the thickness of each leaf in a spring, considering the deflection at the end of the spring, and is influenced by factors such as the load, length, and material properties of the spring is calculated using Thickness of Leaf = (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)*Modulus of Elasticity of Spring*Width of Leaf*Deflection at End of Leaf Spring))^(1/3). To calculate Thickness of each leaf 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), Modulus of Elasticity of Spring (E), Width of Leaf (b) & Deflection at End of Leaf Spring (δ). 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, Modulus of Elasticity of Spring, Width of Leaf & Deflection 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 Thickness of Leaf?

In this formula, Thickness of Leaf uses Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Number of Graduated Length Leaves, Modulus of Elasticity of Spring, Width of Leaf & Deflection at End of Leaf Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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