Thickness of Each Leaf given Initial Nip of Leaf Spring 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%
✖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%
✖Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.ⓘ Total Number of Leaves [n]			+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%
✖Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly.ⓘ Nip in Leaf Spring [C]			+10% -10%

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

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Formula

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Thickness of Each Leaf given Initial Nip of Leaf Spring

Formula

`"t" = (2*"P"*"L"^3/("E"*"n"*"b"*"C"))^(1/3)`

Example

`"11.99473mm"=(2*"37500N"*("500mm")^3/("207000N/mm²"*"18"*"108mm"*"13.50mm"))^(1/3)`

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Thickness of Each Leaf given Initial Nip of Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Leaf = (2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Nip in Leaf Spring))^(1/3)
t = (2*P*L^3/(E*n*b*C))^(1/3)
This formula uses 7 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.
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.
Total Number of Leaves - Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.
Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.
Nip in Leaf Spring - (Measured in Meter) - Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly.

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)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Total Number of Leaves: 18 --> No Conversion Required
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Nip in Leaf Spring: 13.5 Millimeter --> 0.0135 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (2*P*L^3/(E*n*b*C))^(1/3) --> (2*37500*0.5^3/(207000000000*18*0.108*0.0135))^(1/3)

Evaluating ... ...

t = 0.0119947251425132

STEP 3: Convert Result to Output's Unit

0.0119947251425132 Meter -->11.9947251425132 Millimeter (Check conversion here)

FINAL ANSWER

11.9947251425132 ≈ 11.99473 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 » Nipping of Leaf Spring » Thickness of Each Leaf given Initial Nip of Leaf Spring

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 12 Nipping of Leaf Spring Calculators

Number of Full Length Leaves given Initial Pre-load Required to Close Gap

Go Number of Full length Leaves = (2*Number of Graduated Length Leaves*Total Number of Leaves*Pre load for leaf spring)/(2*Number of Graduated Length Leaves*Force Applied at End of Leaf Spring-3*Pre load for leaf spring*Total Number of Leaves)

Number of Graduated length leaves given Initial Pre-Load required to close gap

Go Number of Graduated Length Leaves = (3*Total Number of Leaves*Number of Full length Leaves*Pre load for leaf spring)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre load for leaf spring))

Force Applied at End of Spring given Pre-Load Required to Close Gap

Go Force Applied at End of Leaf Spring = Pre load for leaf spring*(Total Number of Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves))/(2*Number of Graduated Length Leaves*Number of Full length Leaves)

Total Number of Leaves given Pre-Load Required to Close Gap

Go Total Number of Leaves = 2*Number of Graduated Length Leaves*Number of Full length Leaves*Force Applied at End of Leaf Spring/(Pre load for leaf spring*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves))

Initial Pre-Load Required to Close Gap

Go Pre load for leaf spring = 2*Number of Graduated Length Leaves*Number of Full length Leaves*Force Applied at End of Leaf Spring/(Total Number of Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves))

Length of Cantilever given Initial Nip of Leaf Spring

Go Length of Cantilever of Leaf Spring = (Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)/(2*Force Applied at End of Leaf Spring))^(1/3)

Thickness of Each Leaf given Initial Nip of Leaf Spring

Go Thickness of Leaf = (2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Nip in Leaf Spring))^(1/3)

Force Applied at End of Spring

Go Force Applied at End of Leaf Spring = Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*(Thickness of Leaf^3))/(2*(Length of Cantilever of Leaf Spring^3))

Total Number of Leaves given Initial Nip of Leaf Spring

Go Total Number of Leaves = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Nip in Leaf Spring*Width of Leaf*Thickness of Leaf^3)

Width of Each Leaf given Initial Nip of Leaf Spring

Go Width of Leaf = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Nip in Leaf Spring*Thickness of Leaf^3)

Modulus of Elasticity given Initial Nip of Spring

Go Modulus of Elasticity of Spring = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Nip in Leaf Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)

Initial Nip in Leaf Spring

Go Nip in Leaf Spring = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)

Thickness of Each Leaf given Initial Nip of Leaf Spring Formula

Define Nip of the Spring?

The initial gap C between the extra full-length leaf and the graduated-length leaf before the assembly, is called a ‘nip’. Such pre-stressing, achieved by a difference in radii of curvature, is known as ‘nipping’. Nipping is common in automobile suspension springs.

How to Calculate Thickness of Each Leaf given Initial Nip of Leaf Spring?

Thickness of Each Leaf given Initial Nip of Leaf Spring calculator uses Thickness of Leaf = (2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Nip in Leaf Spring))^(1/3) to calculate the Thickness of Leaf, The Thickness of Each Leaf given Initial Nip of Leaf Spring formula is defined as the thickness of each leaf present in the multi-leaf spring. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of Each Leaf given Initial Nip of Leaf Spring using this online calculator? To use this online calculator for Thickness of Each Leaf given Initial Nip of Leaf Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Total Number of Leaves (n), Width of Leaf (b) & Nip in Leaf Spring (C) and hit the calculate button. Here is how the Thickness of Each Leaf given Initial Nip of Leaf Spring calculation can be explained with given input values -> 11994.73 = (2*37500*0.5^3/(207000000000*18*0.108*0.0135))^(1/3).

FAQ

What is Thickness of Each Leaf given Initial Nip of Leaf Spring?

The Thickness of Each Leaf given Initial Nip of Leaf Spring formula is defined as the thickness of each leaf present in the multi-leaf spring and is represented as t = (2*P*L^3/(E*n*b*C))^(1/3) or Thickness of Leaf = (2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Nip in Leaf Spring))^(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, 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, Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring & Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly.

How to calculate Thickness of Each Leaf given Initial Nip of Leaf Spring?

The Thickness of Each Leaf given Initial Nip of Leaf Spring formula is defined as the thickness of each leaf present in the multi-leaf spring is calculated using Thickness of Leaf = (2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Nip in Leaf Spring))^(1/3). To calculate Thickness of Each Leaf given Initial Nip of Leaf Spring, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Total Number of Leaves (n), Width of Leaf (b) & Nip in Leaf Spring (C). With our tool, you need to enter the respective value for Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Total Number of Leaves, Width of Leaf & Nip in Leaf Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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