Number of extra full length leaves given Deflection of Spring at load point Calculator

✖Force Taken by Full Length Leaves is the force exerted on the leaves that are fully extended, affecting the overall plant's growth and structure.ⓘ Force Taken by Full Length Leaves [P_f]			+10% -10%
✖Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%
✖Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming.ⓘ Modulus of Elasticity of Spring [E]			+10% -10%
✖Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied.ⓘ Deflection at End of Leaf Spring [δ]			+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 the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.ⓘ Thickness of Leaf [t]			+10% -10%

✖Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.ⓘ Number of extra full length leaves given Deflection of Spring at load point [n_f]

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Number of extra full length leaves given Deflection of Spring at load point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Full length Leaves = 4*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3)
n_f = 4*P_f*L^3/(E*δ*b*t^3)
This formula uses 7 Variables

Variables Used

Number of Full length Leaves - Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.
Force Taken by Full Length Leaves - (Measured in Newton) - Force Taken by Full Length Leaves is the force exerted on the leaves that are fully extended, affecting the overall plant's growth and structure.
Length of Cantilever of Leaf Spring - (Measured in Meter) - Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming.
Deflection at End of Leaf Spring - (Measured in Meter) - Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied.
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 the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.

STEP 1: Convert Input(s) to Base Unit

Force Taken by Full Length Leaves: 8653.846 Newton --> 8653.846 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)
Deflection at End of Leaf Spring: 37.33534 Millimeter --> 0.03733534 Meter (Check conversion here)
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

n_f = 4*P_f*L^3/(E*δ*b*t^3) --> 4*8653.846*0.5^3/(207000000000*0.03733534*0.108*0.012^3)

Evaluating ... ...

n_f = 2.99999973956227

STEP 3: Convert Result to Output's Unit

2.99999973956227 --> No Conversion Required

FINAL ANSWER

2.99999973956227 ≈ 3 <-- Number of Full length Leaves

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Extra Full Length Leaves » Number of extra full length leaves given Deflection of Spring at load point

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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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< Extra Full Length Leaves Calculators

Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves

LaTeX Go Modulus of Elasticity of Spring = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection of Graduated Leaf at Load Point*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)

Deflection at Load Point Graduated Length Leaves

LaTeX Go Deflection of Graduated Leaf at Load Point = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)

Bending Stress in Plate Graduated Length Leaves

LaTeX Go Bending Stress in Full Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2)

Bending Stress in Plate Extra Full Length

LaTeX Go Bending Stress in Full Leaf = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2)

Number of extra full length leaves given Deflection of Spring at load point Formula

LaTeX Go

Define Deflection of Spring?

Spring deflection, also known as spring travel, is the action of a compression spring compressing (being pushed), an extension spring extending (being pulled), or a torsion spring torquing (radially) when a load is applied or released. A travelled distance is exactly what deflection is.

How to Calculate Number of extra full length leaves given Deflection of Spring at load point?

Number of extra full length leaves given Deflection of Spring at load point calculator uses Number of Full length Leaves = 4*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3) to calculate the Number of Full length Leaves, Number of extra full length leaves given Deflection of Spring at load point formula is defined as a measure of the additional leaves required in a spring design based on the deflection of the spring at the load point, taking into account the spring's material properties and dimensions. Number of Full length Leaves is denoted by n_f symbol.

How to calculate Number of extra full length leaves given Deflection of Spring at load point using this online calculator? To use this online calculator for Number of extra full length leaves given Deflection of Spring at load point, enter Force Taken by Full Length Leaves (P_f), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Deflection at End of Leaf Spring (δ), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Number of extra full length leaves given Deflection of Spring at load point calculation can be explained with given input values -> 3 = 4*8653.846*0.5^3/(207000000000*0.03733534*0.108*0.012^3).

FAQ

What is Number of extra full length leaves given Deflection of Spring at load point?

Number of extra full length leaves given Deflection of Spring at load point formula is defined as a measure of the additional leaves required in a spring design based on the deflection of the spring at the load point, taking into account the spring's material properties and dimensions and is represented as n_f = 4*P_f*L^3/(E*δ*b*t^3) or Number of Full length Leaves = 4*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3). Force Taken by Full Length Leaves is the force exerted on the leaves that are fully extended, affecting the overall plant's growth and structure, Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system, Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming, Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring & Thickness of Leaf is the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.

How to calculate Number of extra full length leaves given Deflection of Spring at load point?

Number of extra full length leaves given Deflection of Spring at load point formula is defined as a measure of the additional leaves required in a spring design based on the deflection of the spring at the load point, taking into account the spring's material properties and dimensions is calculated using Number of Full length Leaves = 4*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3). To calculate Number of extra full length leaves given Deflection of Spring at load point, you need Force Taken by Full Length Leaves (P_f), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Deflection at End of Leaf Spring (δ), Width of Leaf (b) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Taken by Full Length Leaves, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Deflection at End of Leaf Spring, 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.

How many ways are there to calculate Number of Full length Leaves?

In this formula, Number of Full length Leaves uses Force Taken by Full Length Leaves, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Deflection at End of Leaf Spring, Width of Leaf & Thickness of Leaf. We can use 2 other way(s) to calculate the same, which is/are as follows -

Number of Full length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Full Leaf*Width of Leaf*Thickness of Leaf^2*3))-2*Number of Graduated Length Leaves/3
Number of Full length Leaves = ((12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3))/(Modulus of Elasticity of Spring*Width of Leaf*(Thickness of Leaf^3)*Deflection at End of Leaf Spring*3))-(2*Number of Graduated Length Leaves/3)

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