Thickness of Each Leaf given Deflection Calculator

✖Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.ⓘ Force Applied at End of Leaf Spring [P]			+10% -10%
✖The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%
✖Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.ⓘ 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 a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.ⓘ 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 of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.ⓘ Deflection of graduated leaf at load point [δ_g]			+10% -10%

✖Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.ⓘ Thickness of Each Leaf given Deflection [t]

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Formula

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Thickness of Each Leaf given Deflection

Formula

`"t" = (12*"P"*("L"^3)/((3*"n"_{"f"}+2*"n"_{"g"})*"E"*"b"*"δ"_{"g"}))^(1/3)`

Example

`"12.14657mm"=(12*"37500N"*(("500mm")^3)/((3*"3"+2*"15")*"207000N/mm²"*"108mm"*"36mm"))^(1/3)`

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Thickness of Each Leaf given Deflection 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 of graduated leaf at load point))^(1/3)
t = (12*P*(L^3)/((3*n_f+2*n_g)*E*b*δ_g))^(1/3)
This formula uses 8 Variables

Variables Used

Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.
Force Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.
Length of Cantilever of Leaf Spring - (Measured in Meter) - The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.
Number of Full length Leaves - Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.
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 a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.
Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.
Deflection of graduated leaf at load point - (Measured in Meter) - Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.

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 of graduated leaf at load point: 36 Millimeter --> 0.036 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_g))^(1/3) --> (12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.108*0.036))^(1/3)

Evaluating ... ...

t = 0.0121465732263013

STEP 3: Convert Result to Output's Unit

0.0121465732263013 Meter -->12.1465732263013 Millimeter (Check conversion here)

FINAL ANSWER

12.1465732263013 ≈ 12.14657 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 » Thickness of Leaf » Thickness of Each Leaf given Deflection

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Osmania University (OU), Hyderabad

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< 5 Thickness of Leaf Calculators

Thickness of Each Leaf given Deflection

Go 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 of graduated leaf at load point))^(1/3)

Thickness of Each Leaf given Bending Stress on Graduated Length Leaves

Go 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 graduated leaf))

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves

Go Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3)

Thickness of each Leaf given Bending Stress in Plate

Go Thickness of Leaf = sqrt(6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Bending Stress in graduated leaf))

Thickness of each Leaf given Bending Stress in Plate Extra Full Length

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

Thickness of Each Leaf given Deflection Formula

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?

Thickness of Each Leaf given Deflection 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 of graduated leaf at load point))^(1/3) to calculate the Thickness of Leaf, The Thickness of Each Leaf given Deflection formula is defined as the thickness of each leaf present in a multi-leaf spring. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of Each Leaf given Deflection using this online calculator? To use this online calculator for Thickness of Each Leaf given Deflection, 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 of graduated leaf at load point (δ_g) and hit the calculate button. Here is how the Thickness of Each Leaf given Deflection calculation can be explained with given input values -> 12146.57 = (12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.108*0.036))^(1/3).

FAQ

What is Thickness of Each Leaf given Deflection?

The Thickness of Each Leaf given Deflection formula is defined as the thickness of each leaf present in a multi-leaf spring and is represented as t = (12*P*(L^3)/((3*n_f+2*n_g)*E*b*δ_g))^(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 of graduated leaf at load point))^(1/3). Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring, The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring, Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring & Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.

How to calculate Thickness of Each Leaf given Deflection?

The Thickness of Each Leaf given Deflection formula is defined as the thickness of each leaf present in a multi-leaf 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 of graduated leaf at load point))^(1/3). To calculate Thickness of Each Leaf given Deflection, 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 of graduated leaf at load point (δ_g). 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 of graduated leaf at load point 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 of graduated leaf at load point. We can use 4 other way(s) to calculate the same, which is/are as follows -

Thickness of Leaf = sqrt(6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Bending Stress in graduated leaf))
Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3)
Thickness of Leaf = sqrt(6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Bending Stress in full leaf))
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 graduated leaf))

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