Number of Graduated length leaves given Bending Stress in extra full length leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Graduated Length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Full Leaf*Width of Leaf*Thickness of Leaf^2*2))-(3*Number of Full length Leaves/2)
ng = ((18*P*L)/(σbf*b*t^2*2))-(3*nf/2)
This formula uses 7 Variables
Variables Used
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
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.
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.
Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.
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.
Number of Full length Leaves - Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.
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)
Bending Stress in Full Leaf: 556.4459 Newton per Square Millimeter --> 556445900 Pascal (Check conversion ​here)
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion ​here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion ​here)
Number of Full length Leaves: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ng = ((18*P*L)/(σbf*b*t^2*2))-(3*nf/2) --> ((18*37500*0.5)/(556445900*0.108*0.012^2*2))-(3*3/2)
Evaluating ... ...
ng = 14.9999989117441
STEP 3: Convert Result to Output's Unit
14.9999989117441 --> No Conversion Required
FINAL ANSWER
14.9999989117441 15 <-- Number of Graduated Length Leaves
(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)

Number of Graduated length leaves given Bending Stress in extra full length leaves Formula

​LaTeX ​Go
Number of Graduated Length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Full Leaf*Width of Leaf*Thickness of Leaf^2*2))-(3*Number of Full length Leaves/2)
ng = ((18*P*L)/(σbf*b*t^2*2))-(3*nf/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 Number of Graduated length leaves given Bending Stress in extra full length leaves?

Number of Graduated length leaves given Bending Stress in extra full length leaves calculator uses Number of Graduated Length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Full Leaf*Width of Leaf*Thickness of Leaf^2*2))-(3*Number of Full length Leaves/2) to calculate the Number of Graduated Length Leaves, Number of Graduated length leaves given Bending Stress in extra full length leaves formula is defined as a measure of the number of leaves required in extra full length leaves considering the bending stress, which is essential in determining the structural integrity of the leaves. Number of Graduated Length Leaves is denoted by ng symbol.

How to calculate Number of Graduated length leaves given Bending Stress in extra full length leaves using this online calculator? To use this online calculator for Number of Graduated length leaves given Bending Stress in extra full length leaves, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Bending Stress in Full Leaf bf), Width of Leaf (b), Thickness of Leaf (t) & Number of Full length Leaves (nf) and hit the calculate button. Here is how the Number of Graduated length leaves given Bending Stress in extra full length leaves calculation can be explained with given input values -> 15 = ((18*37500*0.5)/(556445900*0.108*0.012^2*2))-(3*3/2).

FAQ

What is Number of Graduated length leaves given Bending Stress in extra full length leaves?
Number of Graduated length leaves given Bending Stress in extra full length leaves formula is defined as a measure of the number of leaves required in extra full length leaves considering the bending stress, which is essential in determining the structural integrity of the leaves and is represented as ng = ((18*P*L)/(σbf*b*t^2*2))-(3*nf/2) or Number of Graduated Length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Full Leaf*Width of Leaf*Thickness of Leaf^2*2))-(3*Number of Full length Leaves/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, Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring, 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 & Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.
How to calculate Number of Graduated length leaves given Bending Stress in extra full length leaves?
Number of Graduated length leaves given Bending Stress in extra full length leaves formula is defined as a measure of the number of leaves required in extra full length leaves considering the bending stress, which is essential in determining the structural integrity of the leaves is calculated using Number of Graduated Length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Full Leaf*Width of Leaf*Thickness of Leaf^2*2))-(3*Number of Full length Leaves/2). To calculate Number of Graduated length leaves 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), Bending Stress in Full Leaf bf), Width of Leaf (b), Thickness of Leaf (t) & Number of Full length Leaves (nf). With our tool, you need to enter the respective value for Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Bending Stress in Full Leaf, Width of Leaf, Thickness of Leaf & Number of Full length Leaves 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 Number of Graduated Length Leaves?
In this formula, Number of Graduated Length Leaves uses Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Bending Stress in Full Leaf, Width of Leaf, Thickness of Leaf & Number of Full length Leaves. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Number of Graduated Length Leaves = (3*Pre Load for Leaf Spring*Total Number of Leaves*Number of Full length Leaves)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre Load for Leaf Spring))
  • Number of Graduated Length Leaves = ((6*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3))/(Modulus of Elasticity of Spring*Width of Leaf*(Thickness of Leaf^3)*Deflection at End of Leaf Spring))-(3*Number of Full length Leaves/2)
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