Force applied at end of Spring given Bending Stress on Graduated length leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force Applied at End of Leaf Spring = Bending Stress in Graduated Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Length of Cantilever of Leaf Spring)
P = σbg*(3*nf+2*ng)*b*t^2/(12*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 defined as the net amount of force that is acting onto the spring.
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.
Number of Full length Leaves - Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.
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 defined as the thickness of each leaf present in a multi-leaf spring.
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.
STEP 1: Convert Input(s) to Base Unit
Bending Stress in Graduated Leaf: 448 Newton per Square Millimeter --> 448000000 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 = σbg*(3*nf+2*ng)*b*t^2/(12*L) --> 448000000*(3*3+2*15)*0.108*0.012^2/(12*0.5)
Evaluating ... ...
P = 45287.424
STEP 3: Convert Result to Output's Unit
45287.424 Newton --> No Conversion Required
FINAL ANSWER
45287.424 45287.42 Newton <-- Force Applied at End of Leaf Spring
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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Force Taken By Leaves Calculators

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

Force applied at end of Spring given Bending Stress on Graduated length leaves Formula

​LaTeX ​Go
Force Applied at End of Leaf Spring = Bending Stress in Graduated Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Length of Cantilever of Leaf Spring)
P = σbg*(3*nf+2*ng)*b*t^2/(12*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 on Graduated length leaves?

Force applied at end of Spring given Bending Stress on Graduated length leaves calculator uses Force Applied at End of Leaf Spring = Bending Stress in Graduated Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*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 on Graduated length leaves formula is defined as a measure of the force exerted at the end of a spring when it is subjected to bending stress along a graduated length, which is critical in determining the spring's ability to withstand external loads and stresses. Force Applied at End of Leaf Spring is denoted by P symbol.

How to calculate Force applied at end of Spring given Bending Stress on Graduated length leaves using this online calculator? To use this online calculator for Force applied at end of Spring given Bending Stress on Graduated length leaves, enter Bending Stress in Graduated Leaf bg), 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 on Graduated length leaves calculation can be explained with given input values -> 45287.42 = 448000000*(3*3+2*15)*0.108*0.012^2/(12*0.5).

FAQ

What is Force applied at end of Spring given Bending Stress on Graduated length leaves?
Force applied at end of Spring given Bending Stress on Graduated length leaves formula is defined as a measure of the force exerted at the end of a spring when it is subjected to bending stress along a graduated length, which is critical in determining the spring's ability to withstand external loads and stresses and is represented as P = σbg*(3*nf+2*ng)*b*t^2/(12*L) or Force Applied at End of Leaf Spring = Bending Stress in Graduated Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Length of Cantilever of Leaf Spring). 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, Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring, 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 defined as the thickness of each leaf present in a multi-leaf spring & The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.
How to calculate Force applied at end of Spring given Bending Stress on Graduated length leaves?
Force applied at end of Spring given Bending Stress on Graduated length leaves formula is defined as a measure of the force exerted at the end of a spring when it is subjected to bending stress along a graduated length, which is critical in determining the spring's ability to withstand external loads and stresses is calculated using Force Applied at End of Leaf Spring = Bending Stress in Graduated Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Length of Cantilever of Leaf Spring). To calculate Force applied at end of Spring given Bending Stress on Graduated length leaves, you need Bending Stress in Graduated Leaf bg), 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 Graduated 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 Graduated 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 Graduated Length Leaves+Force Taken by Full Length Leaves
  • Force Applied at End of Leaf Spring = Force Taken by Graduated Length Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)/(2*Number of Graduated Length Leaves)
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