Deflection at Load Point Graduated Length Leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
δg = 6*Pg*L^3/(E*ng*b*t^3)
This formula uses 7 Variables
Variables Used
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.
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.
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.
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)
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δg = 6*Pg*L^3/(E*ng*b*t^3) --> 6*43269.23*0.5^3/(207000000000*15*0.108*0.012^3)
Evaluating ... ...
δg = 0.0560030051382345
STEP 3: Convert Result to Output's Unit
0.0560030051382345 Meter -->56.0030051382345 Millimeter (Check conversion ​here)
FINAL ANSWER
56.0030051382345 56.00301 Millimeter <-- Deflection of Graduated Leaf at Load Point
(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)

Deflection at Load Point Graduated Length Leaves Formula

​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)
δg = 6*Pg*L^3/(E*ng*b*t^3)

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 Deflection at Load Point Graduated Length Leaves?

Deflection at Load Point Graduated Length Leaves calculator uses 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) to calculate the Deflection of Graduated Leaf at Load Point, Deflection at Load Point Graduated Length Leaves formula is defined as a measure of the bending or displacement of a graduated length leaf at a specific load point, providing insight into the structural integrity and stress distribution of the leaf under various loads. Deflection of Graduated Leaf at Load Point is denoted by δg symbol.

How to calculate Deflection at Load Point Graduated Length Leaves using this online calculator? To use this online calculator for Deflection at Load Point Graduated Length Leaves, enter Force Taken by Graduated Length Leaves (Pg), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (ng), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Deflection at Load Point Graduated Length Leaves calculation can be explained with given input values -> 102884.1 = 6*43269.23*0.5^3/(207000000000*15*0.108*0.012^3).

FAQ

What is Deflection at Load Point Graduated Length Leaves?
Deflection at Load Point Graduated Length Leaves formula is defined as a measure of the bending or displacement of a graduated length leaf at a specific load point, providing insight into the structural integrity and stress distribution of the leaf under various loads and is represented as δg = 6*Pg*L^3/(E*ng*b*t^3) or 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). 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, 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.
How to calculate Deflection at Load Point Graduated Length Leaves?
Deflection at Load Point Graduated Length Leaves formula is defined as a measure of the bending or displacement of a graduated length leaf at a specific load point, providing insight into the structural integrity and stress distribution of the leaf under various loads is calculated using 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). To calculate Deflection at Load Point Graduated Length Leaves, you need Force Taken by Graduated Length Leaves (Pg), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (ng), 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, Modulus of Elasticity of Spring, 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.
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