Thickness of each Leaf given Bending Stress in Plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
t = sqrt(6*Pg*L/(ng*b*σbg))
This formula uses 1 Functions, 6 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 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.
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 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)
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(6*Pg*L/(ng*b*σbg)) --> sqrt(6*28900*0.5/(15*0.108*448000000))
Evaluating ... ...
t = 0.0109298206223148
STEP 3: Convert Result to Output's Unit
0.0109298206223148 Meter -->10.9298206223148 Millimeter (Check conversion here)
FINAL ANSWER
10.9298206223148 10.92982 Millimeter <-- Thickness of Leaf
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Urvi Rathod
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 in Plate Formula

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))
t = sqrt(6*Pg*L/(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 in Plate?

Thickness of each Leaf given Bending Stress in Plate calculator uses 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)) to calculate the Thickness of Leaf, The Thickness of each Leaf given Bending Stress in Plate formula 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 Bending Stress in Plate using this online calculator? To use this online calculator for Thickness of each Leaf given Bending Stress in Plate, enter Force Taken by Graduated Length Leaves (Pg), Length of Cantilever of Leaf Spring (L), 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 in Plate calculation can be explained with given input values -> 10929.82 = sqrt(6*28900*0.5/(15*0.108*448000000)).

FAQ

What is Thickness of each Leaf given Bending Stress in Plate?
The Thickness of each Leaf given Bending Stress in Plate formula is defined as the thickness of each leaf present in a multi-leaf spring and is represented as t = sqrt(6*Pg*L/(ng*b*σbg)) or 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)). 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, 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 in Plate?
The Thickness of each Leaf given Bending Stress in Plate formula is defined as the thickness of each leaf present in a multi-leaf spring is calculated using 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)). To calculate Thickness of each Leaf given Bending Stress in Plate, you need Force Taken by Graduated Length Leaves (Pg), Length of Cantilever of Leaf Spring (L), 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 Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, 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 Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, 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 = ((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 = 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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