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

✖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%
✖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%
✖Pre load for leaf spring is defined as the force that is required to be maintained between the leaves of a multi-leaf spring to close the gap.ⓘ Pre Load for Leaf Spring [P_i]			+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%

✖Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.ⓘ Number of Graduated length leaves given Initial Pre-Load required to close gap [n_g]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
n_g = (3*n*n_f*P_i)/((2*n_f*P)-(2*n*P_i))
This formula uses 5 Variables

Variables Used

Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
Total Number of Leaves - Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.
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.
Pre Load for Leaf Spring - (Measured in Newton) - Pre load for leaf spring is defined as the force that is required to be maintained between the leaves of a multi-leaf spring to close the gap.
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

Total Number of Leaves: 18 --> No Conversion Required
Number of Full length Leaves: 3 --> No Conversion Required
Pre Load for Leaf Spring: 4800 Newton --> 4800 Newton No Conversion Required
Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_g = (3*n*n_f*P_i)/((2*n_f*P)-(2*n*P_i)) --> (3*18*3*4800)/((2*3*37500)-(2*18*4800))

Evaluating ... ...

n_g = 14.8965517241379

STEP 3: Convert Result to Output's Unit

14.8965517241379 --> No Conversion Required

FINAL ANSWER

14.8965517241379 ≈ 14.89655 <-- Number of Graduated Length Leaves

(Calculation completed in 00.021 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Nipping of Leaf Spring » Number of Graduated length leaves given Initial Pre-Load required to close gap

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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)

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

Number of Graduated length leaves given Initial Pre-Load required to close gap calculator uses 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)) to calculate the Number of Graduated Length Leaves, Number of Graduated length leaves given Initial Pre-Load required to close gap is defined as the total number of graduated length leaves that are present in a multi-leaf spring. Number of Graduated Length Leaves is denoted by n_g symbol.

How to calculate Number of Graduated length leaves given Initial Pre-Load required to close gap using this online calculator? To use this online calculator for Number of Graduated length leaves given Initial Pre-Load required to close gap, enter Total Number of Leaves (n), Number of Full length Leaves (n_f), Pre Load for Leaf Spring (P_i) & Force Applied at End of Leaf Spring (P) and hit the calculate button. Here is how the Number of Graduated length leaves given Initial Pre-Load required to close gap calculation can be explained with given input values -> 14.89655 = (3*18*3*4800)/((2*3*37500)-(2*18*4800)).

FAQ

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

Number of Graduated length leaves given Initial Pre-Load required to close gap is defined as the total number of graduated length leaves that are present in a multi-leaf spring and is represented as n_g = (3*n*n_f*P_i)/((2*n_f*P)-(2*n*P_i)) or 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)). Total Number of Leaves is defined as the sum of graduated length leaves and extra 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, Pre load for leaf spring is defined as the force that is required to be maintained between the leaves of a multi-leaf spring to close the gap & Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.

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

Number of Graduated length leaves given Initial Pre-Load required to close gap is defined as the total number of graduated length leaves that are present in a multi-leaf spring is calculated using 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)). To calculate Number of Graduated length leaves given Initial Pre-Load required to close gap, you need Total Number of Leaves (n), Number of Full length Leaves (n_f), Pre Load for Leaf Spring (P_i) & Force Applied at End of Leaf Spring (P). With our tool, you need to enter the respective value for Total Number of Leaves, Number of Full length Leaves, Pre Load for Leaf Spring & 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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