Width of Each Leaf given Bending Stress in Plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2)
b = 6*Pg*L/(ng*σbg*t^2)
This formula uses 6 Variables
Variables Used
Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width 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.
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.
Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is defined as the thickness of each leaf present in a multi-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
Bending Stress in graduated leaf: 448 Newton per Square Millimeter --> 448000000 Pascal (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = 6*Pg*L/(ngbg*t^2) --> 6*28900*0.5/(15*448000000*0.012^2)
Evaluating ... ...
b = 0.0895957341269841
STEP 3: Convert Result to Output's Unit
0.0895957341269841 Meter -->89.5957341269841 Millimeter (Check conversion here)
FINAL ANSWER
89.5957341269841 89.59573 Millimeter <-- Width of Leaf
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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4 Width of Leaf Calculators

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves
Go Width 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*Deflection of graduated leaf at load point*Thickness of Leaf^3)
Width of Each Leaf given Bending Stress on Graduated Length Leaves
Go Width of Leaf = 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)*Bending Stress in graduated leaf*Thickness of Leaf^2)
Width of Each Leaf given Bending Stress in Plate
Go Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2)
Width of Each Leaf given Bending Stress in Plate Extra Full Length
Go Width of Leaf = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Thickness of Leaf^2*Bending Stress in full leaf)

Width of Each Leaf given Bending Stress in Plate Formula

Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2)
b = 6*Pg*L/(ng*σbg*t^2)

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 Width of Each Leaf given Bending Stress in Plate?

Width of Each Leaf given Bending Stress in Plate calculator uses Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2) to calculate the Width of Leaf, The Width of Each Leaf given Bending Stress in Plate formula is defined as width of each leaf present in multi-leaf spring. Width of Leaf is denoted by b symbol.

How to calculate Width of Each Leaf given Bending Stress in Plate using this online calculator? To use this online calculator for Width 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), Bending Stress in graduated leaf bg) & Thickness of Leaf (t) and hit the calculate button. Here is how the Width of Each Leaf given Bending Stress in Plate calculation can be explained with given input values -> 89595.73 = 6*28900*0.5/(15*448000000*0.012^2).

FAQ

What is Width of Each Leaf given Bending Stress in Plate?
The Width of Each Leaf given Bending Stress in Plate formula is defined as width of each leaf present in multi-leaf spring and is represented as b = 6*Pg*L/(ngbg*t^2) or Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2). 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, 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 & Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.
How to calculate Width of Each Leaf given Bending Stress in Plate?
The Width of Each Leaf given Bending Stress in Plate formula is defined as width of each leaf present in multi-leaf spring is calculated using Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2). To calculate Width 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), Bending Stress in graduated leaf bg) & Thickness of Leaf (t). 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, Bending Stress in graduated leaf & Thickness of 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 Width of Leaf?
In this formula, Width of Leaf uses Force Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Number of Graduated Length Leaves, Bending Stress in graduated leaf & Thickness of Leaf. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Width 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*Deflection of graduated leaf at load point*Thickness of Leaf^3)
  • Width of Leaf = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Thickness of Leaf^2*Bending Stress in full leaf)
  • Width of Leaf = 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)*Bending Stress in graduated leaf*Thickness of Leaf^2)
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