Width of each leaf given Bending Stress in extra full length leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Leaf = 18*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 Full Leaf*Thickness of Leaf^2)
b = 18*P*L/((3*nf+2*ng)*σbf*t^2)
This formula uses 7 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 Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.
Length of Cantilever of Leaf Spring - (Measured in Meter) - Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.
Number of Full length Leaves - Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.
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 Full Leaf - (Measured in Pascal) - Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads.
Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.
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
Bending Stress in Full Leaf: 556.4459 Newton per Square Millimeter --> 556445900 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 = 18*P*L/((3*nf+2*ng)*σbf*t^2) --> 18*37500*0.5/((3*3+2*15)*556445900*0.012^2)
Evaluating ... ...
b = 0.107999993972736
STEP 3: Convert Result to Output's Unit
0.107999993972736 Meter -->107.999993972736 Millimeter (Check conversion ​here)
FINAL ANSWER
107.999993972736 108 Millimeter <-- Width of Leaf
(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad
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Extra Full Length Leaves Calculators

Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves
​ LaTeX ​ Go Modulus of Elasticity of Spring = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection of Graduated Leaf at Load Point*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Deflection at Load Point Graduated Length Leaves
​ LaTeX ​ Go Deflection of Graduated Leaf at Load Point = 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*Thickness of Leaf^3)
Bending Stress in Plate Graduated Length Leaves
​ LaTeX ​ Go Bending Stress in Full Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2)
Bending Stress in Plate Extra Full Length
​ LaTeX ​ Go Bending Stress in Full Leaf = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2)

Width of each leaf given Bending Stress in extra full length leaves Formula

​LaTeX ​Go
Width of Leaf = 18*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 Full Leaf*Thickness of Leaf^2)
b = 18*P*L/((3*nf+2*ng)*σbf*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 extra full length leaves?

Width of each leaf given Bending Stress in extra full length leaves calculator uses Width of Leaf = 18*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 Full Leaf*Thickness of Leaf^2) to calculate the Width of Leaf, Width of each leaf given Bending Stress in extra full length leaves formula is defined as the maximum distance from the center of the leaf to its edge, which is a critical parameter in determining the structural integrity of extra full length leaves under various loading conditions, particularly bending stress. Width of Leaf is denoted by b symbol.

How to calculate Width of each leaf given Bending Stress in extra full length leaves using this online calculator? To use this online calculator for Width of each leaf given Bending Stress in extra full 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), Bending Stress in Full Leaf bf) & Thickness of Leaf (t) and hit the calculate button. Here is how the Width of each leaf given Bending Stress in extra full length leaves calculation can be explained with given input values -> 162000 = 18*37500*0.5/((3*3+2*15)*556445900*0.012^2).

FAQ

What is Width of each leaf given Bending Stress in extra full length leaves?
Width of each leaf given Bending Stress in extra full length leaves formula is defined as the maximum distance from the center of the leaf to its edge, which is a critical parameter in determining the structural integrity of extra full length leaves under various loading conditions, particularly bending stress and is represented as b = 18*P*L/((3*nf+2*ng)*σbf*t^2) or Width of Leaf = 18*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 Full Leaf*Thickness of Leaf^2). Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance, Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system, Number of Full Length Leaves is the count of leaves that have reached their maximum possible length, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads & Thickness of Leaf is the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.
How to calculate Width of each leaf given Bending Stress in extra full length leaves?
Width of each leaf given Bending Stress in extra full length leaves formula is defined as the maximum distance from the center of the leaf to its edge, which is a critical parameter in determining the structural integrity of extra full length leaves under various loading conditions, particularly bending stress is calculated using Width of Leaf = 18*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 Full Leaf*Thickness of Leaf^2). To calculate Width of each leaf given Bending Stress in extra full 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), Bending Stress in Full Leaf bf) & Thickness of Leaf (t). 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, Bending Stress in Full 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 Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Number of Graduated Length Leaves, Bending Stress in Full Leaf & Thickness of Leaf. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Width of Leaf = 4*Force Taken by Graduated Length Leaves*(Length of Cantilever of Leaf Spring^3)/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection at End of Leaf Spring*Thickness of Leaf^3)
  • Width 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*Deflection at End of Leaf Spring*Thickness of Leaf^3)
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