Force applied at end of Spring given Bending Stress in extra full length leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force Applied at End of Leaf Spring = Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Length of Cantilever of Leaf Spring)
P = σbf*(3*nf+2*ng)*b*t^2/(18*L)
This formula uses 7 Variables
Variables Used
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.
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Bending Stress in Full Leaf: 556.4459 Newton per Square Millimeter --> 556445900 Pascal (Check conversion ​here)
Number of Full length Leaves: 3 --> No Conversion Required
Number of Graduated Length Leaves: 15 --> No Conversion Required
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion ​here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion ​here)
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = σbf*(3*nf+2*ng)*b*t^2/(18*L) --> 556445900*(3*3+2*15)*0.108*0.012^2/(18*0.5)
Evaluating ... ...
P = 37500.0020928
STEP 3: Convert Result to Output's Unit
37500.0020928 Newton --> No Conversion Required
FINAL ANSWER
37500.0020928 37500 Newton <-- Force Applied at End of Leaf Spring
(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)

Force applied at end of Spring given Bending Stress in extra full length leaves Formula

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

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 Force applied at end of Spring given Bending Stress in extra full length leaves?

Force applied at end of Spring given Bending Stress in extra full length leaves calculator uses Force Applied at End of Leaf Spring = Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Length of Cantilever of Leaf Spring) to calculate the Force Applied at End of Leaf Spring, Force applied at end of Spring given Bending Stress in extra full length leaves formula is defined as the measure of force exerted at the end of a spring in extra full length leaves, which is influenced by the bending stress, number of full and guide leaves, and the spring's dimensions, providing a critical value for spring design and safety considerations. Force Applied at End of Leaf Spring is denoted by P symbol.

How to calculate Force applied at end of Spring given Bending Stress in extra full length leaves using this online calculator? To use this online calculator for Force applied at end of Spring given Bending Stress in extra full length leaves, enter Bending Stress in Full Leaf bf), Number of Full length Leaves (nf), Number of Graduated Length Leaves (ng), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L) and hit the calculate button. Here is how the Force applied at end of Spring given Bending Stress in extra full length leaves calculation can be explained with given input values -> 25000 = 556445900*(3*3+2*15)*0.108*0.012^2/(18*0.5).

FAQ

What is Force applied at end of Spring given Bending Stress in extra full length leaves?
Force applied at end of Spring given Bending Stress in extra full length leaves formula is defined as the measure of force exerted at the end of a spring in extra full length leaves, which is influenced by the bending stress, number of full and guide leaves, and the spring's dimensions, providing a critical value for spring design and safety considerations and is represented as P = σbf*(3*nf+2*ng)*b*t^2/(18*L) or Force Applied at End of Leaf Spring = Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Length of Cantilever of Leaf Spring). Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads, 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, 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 & 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.
How to calculate Force applied at end of Spring given Bending Stress in extra full length leaves?
Force applied at end of Spring given Bending Stress in extra full length leaves formula is defined as the measure of force exerted at the end of a spring in extra full length leaves, which is influenced by the bending stress, number of full and guide leaves, and the spring's dimensions, providing a critical value for spring design and safety considerations is calculated using Force Applied at End of Leaf Spring = Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Length of Cantilever of Leaf Spring). To calculate Force applied at end of Spring given Bending Stress in extra full length leaves, you need Bending Stress in Full Leaf bf), Number of Full length Leaves (nf), Number of Graduated Length Leaves (ng), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L). With our tool, you need to enter the respective value for Bending Stress in Full Leaf, Number of Full length Leaves, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever of Leaf Spring 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 Force Applied at End of Leaf Spring?
In this formula, Force Applied at End of Leaf Spring uses Bending Stress in Full Leaf, Number of Full length Leaves, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever of Leaf Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Force Applied at End of Leaf Spring = Force Taken by Full Length Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)/(3*Number of Full length Leaves)
  • Force Applied at End of Leaf Spring = Deflection at End of Leaf Spring*((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)/(Length of Cantilever of Leaf Spring^3)
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