Thickness of each Leaf given Bending Stress in Plate Extra Full Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
t = sqrt(6*Pf*L/(nf*b*σbf))
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 refers to the dimension of an individual layer in a leaf spring or structural element.
Force Taken by Full Length Leaves - (Measured in Newton) - Force taken by full length leaves refers to the total load distributed across the entire length of a structural leaf element.
Length of Cantilever of Leaf Spring - (Measured in Meter) - Length of cantilever of leaf spring refers to the distance from the fixed support to the free end where the load is applied.
Number of Full length Leaves - Number of full length leaves refers to the total count of complete layers in a leaf spring assembly.
Width of Leaf - (Measured in Meter) - Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element.
Bending Stress in full leaf - (Measured in Pascal) - Bending stress in full leaf refers to the internal stress developed when the entire layer or section of a structural element, like a wall leaf, is subjected to bending forces.
STEP 1: Convert Input(s) to Base Unit
Force Taken by Full Length Leaves: 6999 Newton --> 6999 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
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion ​here)
Bending Stress in full leaf: 450 Newton per Square Millimeter --> 450000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = sqrt(6*Pf*L/(nf*b*σbf)) --> sqrt(6*6999*0.5/(3*0.108*450000000))
Evaluating ... ...
t = 0.0120005143922672
STEP 3: Convert Result to Output's Unit
0.0120005143922672 Meter -->12.0005143922672 Millimeter (Check conversion ​here)
FINAL ANSWER
12.0005143922672 12.00051 Millimeter <-- Thickness of Leaf
(Calculation completed in 00.004 seconds)

Credits

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Thickness of Leaf Calculators

Thickness of Each Leaf given Bending Stress on Graduated Length Leaves
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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 Extra Full Length Formula

​LaTeX ​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))
t = sqrt(6*Pf*L/(nf*b*σbf))

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 Extra Full Length?

Thickness of each Leaf given Bending Stress in Plate Extra Full Length calculator uses 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)) to calculate the Thickness of Leaf, Thickness of each Leaf given Bending Stress in Plate Extra Full Length formula is defined as a measure of the minimum thickness required for each leaf in a mechanical system to withstand bending stress, ensuring the structural integrity of the plate in extra full length applications. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of each Leaf given Bending Stress in Plate Extra Full Length using this online calculator? To use this online calculator for Thickness of each Leaf given Bending Stress in Plate Extra Full Length, enter Force Taken by Full Length Leaves (Pf), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (nf), Width of Leaf (b) & Bending Stress in full leaf bf) and hit the calculate button. Here is how the Thickness of each Leaf given Bending Stress in Plate Extra Full Length calculation can be explained with given input values -> 11999.66 = sqrt(6*6999*0.5/(3*0.108*450000000)).

FAQ

What is Thickness of each Leaf given Bending Stress in Plate Extra Full Length?
Thickness of each Leaf given Bending Stress in Plate Extra Full Length formula is defined as a measure of the minimum thickness required for each leaf in a mechanical system to withstand bending stress, ensuring the structural integrity of the plate in extra full length applications and is represented as t = sqrt(6*Pf*L/(nf*b*σbf)) or 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)). Force taken by full length leaves refers to the total load distributed across the entire length of a structural leaf element, Length of cantilever of leaf spring refers to the distance from the fixed support to the free end where the load is applied, Number of full length leaves refers to the total count of complete layers in a leaf spring assembly, Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element & Bending stress in full leaf refers to the internal stress developed when the entire layer or section of a structural element, like a wall leaf, is subjected to bending forces.
How to calculate Thickness of each Leaf given Bending Stress in Plate Extra Full Length?
Thickness of each Leaf given Bending Stress in Plate Extra Full Length formula is defined as a measure of the minimum thickness required for each leaf in a mechanical system to withstand bending stress, ensuring the structural integrity of the plate in extra full length applications is calculated using 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)). To calculate Thickness of each Leaf given Bending Stress in Plate Extra Full Length, you need Force Taken by Full Length Leaves (Pf), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (nf), Width of Leaf (b) & Bending Stress in full leaf bf). With our tool, you need to enter the respective value for 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 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 Full Length Leaves, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Width of Leaf & Bending Stress in full leaf. We can use 3 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(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))
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