Portion of Force taken by extra full length leaf given deflection of Spring at load point Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force Taken by Graduated Length Leaves = Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*(Length of Cantilever of Leaf Spring^3))
Pg = δ*E*ng*b*t^3/(4*(L^3))
This formula uses 7 Variables
Variables Used
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.
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Deflection at End of Leaf Spring: 37.33534 Millimeter --> 0.03733534 Meter (Check conversion ​here)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (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)
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pg = δ*E*ng*b*t^3/(4*(L^3)) --> 0.03733534*207000000000*15*0.108*0.012^3/(4*(0.5^3))
Evaluating ... ...
Pg = 43269.2337563136
STEP 3: Convert Result to Output's Unit
43269.2337563136 Newton --> No Conversion Required
FINAL ANSWER
43269.2337563136 43269.23 Newton <-- Force Taken by Graduated Length Leaves
(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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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)

Portion of Force taken by extra full length leaf given deflection of Spring at load point Formula

​LaTeX ​Go
Force Taken by Graduated Length Leaves = Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*(Length of Cantilever of Leaf Spring^3))
Pg = δ*E*ng*b*t^3/(4*(L^3))

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 Portion of Force taken by extra full length leaf given deflection of Spring at load point?

Portion of Force taken by extra full length leaf given deflection of Spring at load point calculator uses Force Taken by Graduated Length Leaves = Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*(Length of Cantilever of Leaf Spring^3)) to calculate the Force Taken by Graduated Length Leaves, Portion of Force taken by extra full length leaf given deflection of Spring at load point formula is defined as the proportion of force absorbed by an extra full-length leaf in a spring system, considering the deflection of the spring at the load point, which is critical in determining the spring's overall behavior and performance. Force Taken by Graduated Length Leaves is denoted by Pg symbol.

How to calculate Portion of Force taken by extra full length leaf given deflection of Spring at load point using this online calculator? To use this online calculator for Portion of Force taken by extra full length leaf given deflection of Spring at load point, enter Deflection at End of Leaf Spring (δ), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (ng), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L) and hit the calculate button. Here is how the Portion of Force taken by extra full length leaf given deflection of Spring at load point calculation can be explained with given input values -> 43269.23 = 0.03733534*207000000000*15*0.108*0.012^3/(4*(0.5^3)).

FAQ

What is Portion of Force taken by extra full length leaf given deflection of Spring at load point?
Portion of Force taken by extra full length leaf given deflection of Spring at load point formula is defined as the proportion of force absorbed by an extra full-length leaf in a spring system, considering the deflection of the spring at the load point, which is critical in determining the spring's overall behavior and performance and is represented as Pg = δ*E*ng*b*t^3/(4*(L^3)) or Force Taken by Graduated Length Leaves = Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*(Length of Cantilever of Leaf Spring^3)). 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, Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming, 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 & 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.
How to calculate Portion of Force taken by extra full length leaf given deflection of Spring at load point?
Portion of Force taken by extra full length leaf given deflection of Spring at load point formula is defined as the proportion of force absorbed by an extra full-length leaf in a spring system, considering the deflection of the spring at the load point, which is critical in determining the spring's overall behavior and performance is calculated using Force Taken by Graduated Length Leaves = Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*(Length of Cantilever of Leaf Spring^3)). To calculate Portion of Force taken by extra full length leaf given deflection of Spring at load point, you need Deflection at End of Leaf Spring (δ), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (ng), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L). With our tool, you need to enter the respective value for Deflection at End of Leaf Spring, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever 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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