Modulus of Elasticity given Initial Nip of Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
E = 2*P*L^3/(C*n*b*t^3)
This formula uses 7 Variables
Variables Used
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.
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.
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.
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.
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)
Nip in Leaf Spring: 13.5 Millimeter --> 0.0135 Meter (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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = 2*P*L^3/(C*n*b*t^3) --> 2*37500*0.5^3/(0.0135*18*0.108*0.012^3)
Evaluating ... ...
E = 206727146099.003
STEP 3: Convert Result to Output's Unit
206727146099.003 Pascal -->206727.146099003 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
206727.146099003 206727.1 Newton per Square Millimeter <-- Modulus of Elasticity of Spring
(Calculation completed in 00.004 seconds)

Credits

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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)

Modulus of Elasticity given Initial Nip of Spring Formula

​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)
E = 2*P*L^3/(C*n*b*t^3)

Define Young's Modulus?

Young’s Modulus (also referred to as the Elastic Modulus or Tensile Modulus), is a measure of mechanical properties of linear elastic solids like rods, wires, and such. There are other numbers that give us a measure of elastic properties of a material, like Bulk modulus and shear modulus, but the value of Young’s Modulus is most commonly used. This is because it gives us information about the tensile elasticity of a material.

How to Calculate Modulus of Elasticity given Initial Nip of Spring?

Modulus of Elasticity given Initial Nip of Spring calculator uses 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) to calculate the Modulus of Elasticity of Spring, The Modulus of Elasticity given Initial Nip of Spring formula is defined as measure of object's or substance's resistance to being deformed elastically when stress is applied. Modulus of Elasticity of Spring is denoted by E symbol.

How to calculate Modulus of Elasticity given Initial Nip of Spring using this online calculator? To use this online calculator for Modulus of Elasticity given Initial Nip of Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Nip in Leaf Spring (C), Total Number of Leaves (n), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Modulus of Elasticity given Initial Nip of Spring calculation can be explained with given input values -> 0.206727 = 2*37500*0.5^3/(0.0135*18*0.108*0.012^3).

FAQ

What is Modulus of Elasticity given Initial Nip of Spring?
The Modulus of Elasticity given Initial Nip of Spring formula is defined as measure of object's or substance's resistance to being deformed elastically when stress is applied and is represented as E = 2*P*L^3/(C*n*b*t^3) or 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). 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, Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly, 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.
How to calculate Modulus of Elasticity given Initial Nip of Spring?
The Modulus of Elasticity given Initial Nip of Spring formula is defined as measure of object's or substance's resistance to being deformed elastically when stress is applied is calculated using 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). To calculate Modulus of Elasticity given Initial Nip of Spring, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Nip in Leaf Spring (C), Total Number of Leaves (n), Width of Leaf (b) & 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, Nip in Leaf Spring, Total Number of Leaves, Width of Leaf & 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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