Thickness of each Leaf given Deflection at Load Point for Graduated length leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3)
t = ((6*Pg*L^3)/(E*ng*b*δg))^(1/3)
This formula uses 7 Variables
Variables Used
Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.
Force Taken by Graduated Length Leaves - (Measured in Newton) - Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves.
Length of Cantilever of Leaf Spring - (Measured in Meter) - The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.
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.
Deflection of graduated leaf at load point - (Measured in Meter) - Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.
STEP 1: Convert Input(s) to Base Unit
Force Taken by Graduated Length Leaves: 28900 Newton --> 28900 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)
Deflection of graduated leaf at load point: 36 Millimeter --> 0.036 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = ((6*Pg*L^3)/(E*ng*b*δg))^(1/3) --> ((6*28900*0.5^3)/(207000000000*15*0.108*0.036))^(1/3)
Evaluating ... ...
t = 0.012154126396284
STEP 3: Convert Result to Output's Unit
0.012154126396284 Meter -->12.154126396284 Millimeter (Check conversion here)
FINAL ANSWER
12.154126396284 12.15413 Millimeter <-- Thickness of Leaf
(Calculation completed in 00.004 seconds)

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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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5 Thickness of Leaf Calculators

Thickness of Each Leaf given Deflection
Go Thickness 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*Width of Leaf*Deflection of graduated leaf at load point))^(1/3)
Thickness of Each Leaf given Bending Stress on Graduated Length Leaves
Go Thickness of Leaf = sqrt(12*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)*Width of Leaf*Bending Stress in graduated leaf))
Thickness of each Leaf given Deflection at Load Point for Graduated length leaves
Go Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3)
Thickness of each Leaf given Bending Stress in Plate
Go Thickness of Leaf = sqrt(6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Bending Stress in graduated leaf))
Thickness of each Leaf given Bending Stress in Plate Extra Full Length
Go Thickness of Leaf = sqrt(6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Bending Stress in full leaf))

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves Formula

Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3)
t = ((6*Pg*L^3)/(E*ng*b*δg))^(1/3)

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 Thickness of each Leaf given Deflection at Load Point for Graduated length leaves?

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves calculator uses Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3) to calculate the Thickness of Leaf, Thickness of each Leaf given Deflection at Load Point for Graduated length leavesa is defined as the thickness of each leaf present in a multi-leaf spring. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of each Leaf given Deflection at Load Point for Graduated length leaves using this online calculator? To use this online calculator for Thickness of each Leaf given Deflection at Load Point for 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) & Deflection of graduated leaf at load point g) and hit the calculate button. Here is how the Thickness of each Leaf given Deflection at Load Point for Graduated length leaves calculation can be explained with given input values -> 12154.13 = ((6*28900*0.5^3)/(207000000000*15*0.108*0.036))^(1/3).

FAQ

What is Thickness of each Leaf given Deflection at Load Point for Graduated length leaves?
Thickness of each Leaf given Deflection at Load Point for Graduated length leavesa is defined as the thickness of each leaf present in a multi-leaf spring and is represented as t = ((6*Pg*L^3)/(E*ng*b*δg))^(1/3) or Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3). Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves, The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring, Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it, 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 & Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.
How to calculate Thickness of each Leaf given Deflection at Load Point for Graduated length leaves?
Thickness of each Leaf given Deflection at Load Point for Graduated length leavesa is defined as the thickness of each leaf present in a multi-leaf spring is calculated using Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3). To calculate Thickness of each Leaf given Deflection at Load Point for 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) & Deflection of graduated leaf at load point g). 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 & Deflection of graduated leaf at load point 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 Thickness of Leaf?
In this formula, Thickness of Leaf uses 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 & Deflection of graduated leaf at load point. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Thickness of Leaf = sqrt(6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Bending Stress in graduated leaf))
  • Thickness of Leaf = sqrt(6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Bending Stress in full leaf))
  • Thickness of Leaf = sqrt(12*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)*Width of Leaf*Bending Stress in graduated leaf))
  • Thickness 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*Width of Leaf*Deflection of graduated leaf at load point))^(1/3)
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