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

✖Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement.ⓘ Force Taken by Graduated Length Leaves [P_g]			+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%
✖Deflection of Graduated Leaf at Load Point is the displacement of the graduated leaf from its original position at the point of maximum load.ⓘ Deflection of Graduated Leaf at Load Point [δ_g]			+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%
✖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%

✖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 leaf given Deflection at Load Point Graduated Length Leaves [E]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
E = 6*P_g*L^3/(δ_g*n_g*b*t^3)
This formula uses 7 Variables

Variables Used

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.
Force Taken by Graduated Length Leaves - (Measured in Newton) - Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement.
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.
Deflection of Graduated Leaf at Load Point - (Measured in Meter) - Deflection of Graduated Leaf at Load Point is the displacement of the graduated leaf from its original position at the point of maximum load.
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
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 Graduated Length Leaves: 43269.23 Newton --> 43269.23 Newton No Conversion Required
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion here)
Deflection of Graduated Leaf at Load Point: 56.00301 Millimeter --> 0.05600301 Meter (Check conversion here)
Number of Graduated Length Leaves: 15 --> 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 = 6*P_g*L^3/(δ_g*n_g*b*t^3) --> 6*43269.23*0.5^3/(0.05600301*15*0.108*0.012^3)

Evaluating ... ...

E = 206999982029.797

STEP 3: Convert Result to Output's Unit

206999982029.797 Pascal -->206999.982029797 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

206999.982029797 ≈ 207000 Newton per Square Millimeter <-- Modulus of Elasticity of Spring

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

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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)

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

LaTeX Go

Define Deflection?

In engineering, deflection is the degree to which a structural element is displaced under a load (due to its deformation). The deflection distance of a member under a load can be calculated by integrating the function that mathematically describes the slope of the deflected shape of the member under that load.

How to Calculate Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves?

Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves calculator uses 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) to calculate the Modulus of Elasticity of Spring, Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves formula is defined as a measure of the stiffness of a leaf, which is the ratio of stress to strain, providing a way to quantify the leaf's ability to resist deformation under an applied load. Modulus of Elasticity of Spring is denoted by E symbol.

How to calculate Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves using this online calculator? To use this online calculator for Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves, enter Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Deflection of Graduated Leaf at Load Point (δ_g), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves calculation can be explained with given input values -> 0.380283 = 6*43269.23*0.5^3/(0.05600301*15*0.108*0.012^3).

FAQ

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

Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves formula is defined as a measure of the stiffness of a leaf, which is the ratio of stress to strain, providing a way to quantify the leaf's ability to resist deformation under an applied load and is represented as E = 6*P_g*L^3/(δ_g*n_g*b*t^3) or 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). Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement, 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, Deflection of Graduated Leaf at Load Point is the displacement of the graduated leaf from its original position at the point of maximum load, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, 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 Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves?

Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves formula is defined as a measure of the stiffness of a leaf, which is the ratio of stress to strain, providing a way to quantify the leaf's ability to resist deformation under an applied load is calculated using 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). To calculate Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves, you need Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Deflection of Graduated Leaf at Load Point (δ_g), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Deflection of Graduated Leaf at Load Point, Number of Graduated Length 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.

How many ways are there to calculate Modulus of Elasticity of Spring?

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

Modulus of Elasticity of Spring = 4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection at End of Leaf Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Modulus of Elasticity of Spring = 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)*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3)

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