Width 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%
✖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 Leaf [t]			+10% -10%

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

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Width of Each Leaf given Initial Nip of Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
b = 2*P*L^3/(E*n*C*t^3)
This formula uses 7 Variables

Variables Used

Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width 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.
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.
Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

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
Nip in Leaf Spring: 13.5 Millimeter --> 0.0135 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 2*P*L^3/(E*n*C*t^3) --> 2*37500*0.5^3/(207000000000*18*0.0135*0.012^3)

Evaluating ... ...

b = 0.107857641442958

STEP 3: Convert Result to Output's Unit

0.107857641442958 Meter -->107.857641442958 Millimeter (Check conversion here)

FINAL ANSWER

107.857641442958 ≈ 107.8576 Millimeter <-- Width of Leaf

(Calculation completed in 00.004 seconds)

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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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< Nipping of Leaf Spring Calculators

Length of Cantilever given Initial Nip of Leaf Spring

LaTeX 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)

Force Applied at End of Spring

LaTeX 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))

Modulus of Elasticity given Initial Nip of Spring

LaTeX 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

LaTeX 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)

Width of Each Leaf given Initial Nip of Leaf Spring Formula

LaTeX Go

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 Width of Each Leaf given Initial Nip of Leaf Spring?

Width of Each Leaf given Initial Nip of Leaf Spring calculator uses 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) to calculate the Width of Leaf, The Width of Each Leaf given Initial Nip of Leaf Spring formula is defined as the width of the leaf from one to another end in a multi-leaf spring. Width of Leaf is denoted by b symbol.

How to calculate Width of Each Leaf given Initial Nip of Leaf Spring using this online calculator? To use this online calculator for Width 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), Nip in Leaf Spring (C) & Thickness of Leaf (t) and hit the calculate button. Here is how the Width of Each Leaf given Initial Nip of Leaf Spring calculation can be explained with given input values -> 107857.6 = 2*37500*0.5^3/(207000000000*18*0.0135*0.012^3).

FAQ

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

The Width of Each Leaf given Initial Nip of Leaf Spring formula is defined as the width of the leaf from one to another end in a multi-leaf spring and is represented as b = 2*P*L^3/(E*n*C*t^3) or 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). 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, Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly & Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

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

The Width of Each Leaf given Initial Nip of Leaf Spring formula is defined as the width of the leaf from one to another end in a multi-leaf spring is calculated using 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). To calculate Width 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), Nip in Leaf Spring (C) & Thickness of Leaf (t). 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, Nip in Leaf Spring & Thickness of Leaf 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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