Number of Graduated length leaves given Deflection at End of Spring Calculator

✖Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.ⓘ Force Applied at End of Leaf Spring [P]			+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%
✖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%
✖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%
✖Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.ⓘ Number of Full length Leaves [n_f]			+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 Deflection at End of Spring [n_g]

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Number of Graduated length leaves given Deflection at End of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Graduated Length Leaves = ((6*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*Number of Full length Leaves/2)
n_g = ((6*P*(L^3))/(E*b*(t^3)*δ))-(3*n_f/2)
This formula uses 8 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.
Force Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.
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.
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.
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.
Number of Full length Leaves - Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.

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)
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)
Deflection at End of Leaf Spring: 37.33534 Millimeter --> 0.03733534 Meter (Check conversion here)
Number of Full length Leaves: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_g = ((6*P*(L^3))/(E*b*(t^3)*δ))-(3*n_f/2) --> ((6*37500*(0.5^3))/(207000000000*0.108*(0.012^3)*0.03733534))-(3*3/2)

Evaluating ... ...

n_g = 14.9999986538214

STEP 3: Convert Result to Output's Unit

14.9999986538214 --> No Conversion Required

FINAL ANSWER

14.9999986538214 ≈ 15 <-- Number of Graduated 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 Graduated length leaves given Deflection at End of Spring

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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 Graduated length leaves given Deflection at End of Spring Formula

LaTeX Go

Define Deflection of the 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.

How to Calculate Number of Graduated length leaves given Deflection at End of Spring?

Number of Graduated length leaves given Deflection at End of Spring calculator uses Number of Graduated Length Leaves = ((6*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*Number of Full length Leaves/2) to calculate the Number of Graduated Length Leaves, Number of Graduated length leaves given Deflection at End of Spring formula is defined as the total number of leaves required to achieve a specific deflection at the end of a spring, considering the physical properties of the spring and the load applied. Number of Graduated Length Leaves is denoted by n_g symbol.

How to calculate Number of Graduated length leaves given Deflection at End of Spring using this online calculator? To use this online calculator for Number of Graduated length leaves given Deflection at End of Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Width of Leaf (b), Thickness of Leaf (t), Deflection at End of Leaf Spring (δ) & Number of Full length Leaves (n_f) and hit the calculate button. Here is how the Number of Graduated length leaves given Deflection at End of Spring calculation can be explained with given input values -> 31.32378 = ((6*37500*(0.5^3))/(207000000000*0.108*(0.012^3)*0.03733534))-(3*3/2).

FAQ

What is Number of Graduated length leaves given Deflection at End of Spring?

Number of Graduated length leaves given Deflection at End of Spring formula is defined as the total number of leaves required to achieve a specific deflection at the end of a spring, considering the physical properties of the spring and the load applied and is represented as n_g = ((6*P*(L^3))/(E*b*(t^3)*δ))-(3*n_f/2) or Number of Graduated Length Leaves = ((6*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*Number of Full length Leaves/2). Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance, 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, 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, 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 & Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.

How to calculate Number of Graduated length leaves given Deflection at End of Spring?

Number of Graduated length leaves given Deflection at End of Spring formula is defined as the total number of leaves required to achieve a specific deflection at the end of a spring, considering the physical properties of the spring and the load applied is calculated using Number of Graduated Length Leaves = ((6*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*Number of Full length Leaves/2). To calculate Number of Graduated length leaves given Deflection at End of Spring, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Width of Leaf (b), Thickness of Leaf (t), Deflection at End of Leaf Spring (δ) & Number of Full length Leaves (n_f). 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, Width of Leaf, Thickness of Leaf, Deflection at End of Leaf Spring & Number of Full length Leaves 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 Graduated Length Leaves?

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

Number of Graduated Length Leaves = (3*Pre Load for Leaf Spring*Total Number of Leaves*Number of Full length Leaves)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre Load for Leaf Spring))
Number of Graduated 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*2))-(3*Number of Full length Leaves/2)

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