Width of Leaf 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%
✖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 [n_g]			+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%
✖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%

✖Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.ⓘ Width of Leaf given Deflection at end of Spring [b]

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Width of Leaf given Deflection at end of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Leaf = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Thickness of Leaf^3)
b = 12*P*(L^3)/((3*n_f+2*n_g)*E*δ*t^3)
This formula uses 8 Variables

Variables Used

Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width 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 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.
Number of Full length Leaves - Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
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.
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 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)
Number of Full length Leaves: 3 --> No Conversion Required
Number of Graduated Length Leaves: 15 --> No Conversion Required
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)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 12*P*(L^3)/((3*n_f+2*n_g)*E*δ*t^3) --> 12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.03733534*0.012^3)

Evaluating ... ...

b = 0.107999992544242

STEP 3: Convert Result to Output's Unit

0.107999992544242 Meter -->107.999992544242 Millimeter (Check conversion here)

FINAL ANSWER

107.999992544242 ≈ 108 Millimeter <-- Width of Leaf

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Extra Full Length Leaves » Width of Leaf 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)

Width of Leaf 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 Width of Leaf given Deflection at end of Spring?

Width of Leaf given Deflection at end of Spring calculator uses Width of Leaf = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Thickness of Leaf^3) to calculate the Width of Leaf, Width of Leaf given Deflection at end of Spring formula is defined as a measure of the width of a leaf in an extra full-length leaf setup, taking into account the deflection at the end of the spring, which is crucial in understanding the mechanical properties of the leaf. Width of Leaf is denoted by b symbol.

How to calculate Width of Leaf given Deflection at end of Spring using this online calculator? To use this online calculator for Width of Leaf given Deflection at end of Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Modulus of Elasticity of Spring (E), Deflection at End of Leaf Spring (δ) & Thickness of Leaf (t) and hit the calculate button. Here is how the Width of Leaf given Deflection at end of Spring calculation can be explained with given input values -> 198408.7 = 12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.03733534*0.012^3).

FAQ

What is Width of Leaf given Deflection at end of Spring?

Width of Leaf given Deflection at end of Spring formula is defined as a measure of the width of a leaf in an extra full-length leaf setup, taking into account the deflection at the end of the spring, which is crucial in understanding the mechanical properties of the leaf and is represented as b = 12*P*(L^3)/((3*n_f+2*n_g)*E*δ*t^3) or Width of Leaf = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Thickness of Leaf^3). 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, Number of Full Length Leaves is the count of leaves that have reached their maximum possible length, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, 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 & 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 Width of Leaf given Deflection at end of Spring?

Width of Leaf given Deflection at end of Spring formula is defined as a measure of the width of a leaf in an extra full-length leaf setup, taking into account the deflection at the end of the spring, which is crucial in understanding the mechanical properties of the leaf is calculated using Width of Leaf = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Thickness of Leaf^3). To calculate Width of Leaf given Deflection at end of Spring, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Modulus of Elasticity of Spring (E), Deflection at End of Leaf Spring (δ) & 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, Number of Full length Leaves, Number of Graduated Length Leaves, Modulus of Elasticity of Spring, Deflection at End of Leaf Spring & 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 Width of Leaf?

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

Width of Leaf = 4*Force Taken by Graduated Length Leaves*(Length of Cantilever of Leaf Spring^3)/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection at End of Leaf Spring*Thickness of Leaf^3)
Width of Leaf = 18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Bending Stress in Full Leaf*Thickness of Leaf^2)

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