Thickness of Each Leaf given Bending Stress on Graduated Length Leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
t = sqrt(12*P*L/((3*nf+2*ng)*b*σbg))
This formula uses 1 Functions, 7 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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 Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.
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.
Number of Full length Leaves - Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.
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.
Bending Stress in graduated leaf - (Measured in Pascal) - Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring.
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
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Bending Stress in graduated leaf: 448 Newton per Square Millimeter --> 448000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = sqrt(12*P*L/((3*nf+2*ng)*b*σbg)) --> sqrt(12*37500*0.5/((3*3+2*15)*0.108*448000000))
Evaluating ... ...
t = 0.0109196337158533
STEP 3: Convert Result to Output's Unit
0.0109196337158533 Meter -->10.9196337158533 Millimeter (Check conversion here)
FINAL ANSWER
10.9196337158533 10.91963 Millimeter <-- Thickness of Leaf
(Calculation completed in 00.004 seconds)

Credits

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 Bending Stress on Graduated Length Leaves Formula

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))
t = sqrt(12*P*L/((3*nf+2*ng)*b*σbg))

Define Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Thickness of Each Leaf given Bending Stress on Graduated Length Leaves?

Thickness of Each Leaf given Bending Stress on Graduated Length Leaves calculator uses 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)) to calculate the Thickness of Leaf, The Thickness of Each Leaf given Bending Stress on Graduated Length Leaves formula is defined as the thickness of the each leaf present in the multi-leaf spring. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of Each Leaf given Bending Stress on Graduated Length Leaves using this online calculator? To use this online calculator for Thickness of Each Leaf given Bending Stress on Graduated Length Leaves, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (nf), Number of Graduated Length Leaves (ng), Width of Leaf (b) & Bending Stress in graduated leaf bg) and hit the calculate button. Here is how the Thickness of Each Leaf given Bending Stress on Graduated Length Leaves calculation can be explained with given input values -> 10919.63 = sqrt(12*37500*0.5/((3*3+2*15)*0.108*448000000)).

FAQ

What is Thickness of Each Leaf given Bending Stress on Graduated Length Leaves?
The Thickness of Each Leaf given Bending Stress on Graduated Length Leaves formula is defined as the thickness of the each leaf present in the multi-leaf spring and is represented as t = sqrt(12*P*L/((3*nf+2*ng)*b*σbg)) or 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)). Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring, The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring, Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring, 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 & Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring.
How to calculate Thickness of Each Leaf given Bending Stress on Graduated Length Leaves?
The Thickness of Each Leaf given Bending Stress on Graduated Length Leaves formula is defined as the thickness of the each leaf present in the multi-leaf spring is calculated using 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)). To calculate Thickness of Each Leaf given Bending Stress on Graduated Length Leaves, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (nf), Number of Graduated Length Leaves (ng), Width of Leaf (b) & Bending Stress in graduated leaf bg). 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, Width of Leaf & Bending Stress in graduated 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 Thickness of Leaf?
In this formula, Thickness 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, Width of Leaf & Bending Stress in graduated leaf. 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 = ((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 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 = (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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