Length of Cantilever given Initial Nip of Leaf Spring Calculator

✖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%
✖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%
✖Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.ⓘ Thickness of Leaf [t]			+10% -10%
✖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 given Initial Nip of Leaf Spring [L]

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Length of Cantilever given Initial Nip of Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L = (C*(E*n*b*t^3)/(2*P))^(1/3)
This formula uses 7 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Nip in Leaf Spring: 13.5 Millimeter --> 0.0135 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)
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 = (C*(E*n*b*t^3)/(2*P))^(1/3) --> (0.0135*(207000000000*18*0.108*0.012^3)/(2*37500))^(1/3)

Evaluating ... ...

L = 0.500219882382634

STEP 3: Convert Result to Output's Unit

0.500219882382634 Meter -->500.219882382634 Millimeter (Check conversion here)

FINAL ANSWER

500.219882382634 ≈ 500.2199 Millimeter <-- Length of Cantilever of Leaf Spring

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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)

Length of Cantilever 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 Length of Cantilever given Initial Nip of Leaf Spring?

Length of Cantilever given Initial Nip of Leaf Spring calculator uses 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) to calculate the Length of Cantilever of Leaf Spring, Length of Cantilever given Initial Nip of Leaf Spring is defined as a rigid structural element that extends horizontally and is supported at only one end. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to calculate Length of Cantilever given Initial Nip of Leaf Spring using this online calculator? To use this online calculator for Length of Cantilever given Initial Nip of Leaf Spring, enter Nip in Leaf Spring (C), Modulus of Elasticity of Spring (E), Total Number of Leaves (n), 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 Initial Nip of Leaf Spring calculation can be explained with given input values -> 500219.9 = (0.0135*(207000000000*18*0.108*0.012^3)/(2*37500))^(1/3).

FAQ

What is Length of Cantilever given Initial Nip of Leaf Spring?

Length of Cantilever given Initial Nip of Leaf Spring is defined as a rigid structural element that extends horizontally and is supported at only one end and is represented as L = (C*(E*n*b*t^3)/(2*P))^(1/3) or 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). Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly, 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, Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring & Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.

How to calculate Length of Cantilever given Initial Nip of Leaf Spring?

Length of Cantilever given Initial Nip of Leaf Spring is defined as a rigid structural element that extends horizontally and is supported at only one end is calculated using 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). To calculate Length of Cantilever given Initial Nip of Leaf Spring, you need Nip in Leaf Spring (C), Modulus of Elasticity of Spring (E), Total Number of Leaves (n), 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 Nip in Leaf Spring, Modulus of Elasticity of Spring, Total Number of Leaves, 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.

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