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

✖Force taken by full length leaves refers to the total load distributed across the entire length of a structural leaf element.ⓘ Force Taken by Full Length Leaves [P_f]			+10% -10%
✖Length of cantilever of leaf spring refers to the distance from the fixed support to the free end where the load is applied.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%
✖Number of full length leaves refers to the total count of complete layers in a leaf spring assembly.ⓘ Number of Full length Leaves [n_f]			+10% -10%
✖Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element.ⓘ Width of Leaf [b]			+10% -10%
✖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.ⓘ Bending Stress in full leaf [σ_bf]			+10% -10%

✖Thickness of leaf refers to the dimension of an individual layer in a leaf spring or structural element.ⓘ Thickness of each Leaf given Bending Stress in Plate Extra Full Length [t]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF PDF Image

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*P_f*L/(n_f*b*σ_bf))
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*P_f*L/(n_f*b*σ_bf)) --> 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 00.020 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Thickness of Leaf » Thickness of each Leaf given Bending Stress in Plate Extra Full Length

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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

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 (P_f), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Width of Leaf (b) & Bending Stress in full leaf (σ_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*P_f*L/(n_f*b*σ_bf)) 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 (P_f), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Width of Leaf (b) & Bending Stress in full leaf (σ_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))

Home

FREE PDFs

🔍 Search