Force Taken by Graduated length leaves given Deflection at Load Point Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Pg = δg*E*ng*b*t^3/(6*L^3)
This formula uses 7 Variables
Variables Used
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.
Deflection of Graduated Leaf at Load Point - (Measured in Meter) - Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.
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
Deflection of Graduated Leaf at Load Point: 36 Millimeter --> 0.036 Meter (Check conversion ​here)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion ​here)
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
Pg = δg*E*ng*b*t^3/(6*L^3) --> 0.036*207000000000*15*0.108*0.012^3/(6*0.5^3)
Evaluating ... ...
Pg = 27814.44096
STEP 3: Convert Result to Output's Unit
27814.44096 Newton --> No Conversion Required
FINAL ANSWER
27814.44096 27814.44 Newton <-- Force Taken by Graduated Length Leaves
(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 Taken by Graduated length leaves given Deflection at Load Point Formula

​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)
Pg = δg*E*ng*b*t^3/(6*L^3)

Define Deflection?

In engineering, deflection is the degree to which a structural element is displaced under a load (due to its deformation). The deflection distance of a member under a load can be calculated by integrating the function that mathematically describes the slope of the deflected shape of the member under that load.

How to Calculate Force Taken by Graduated length leaves given Deflection at Load Point?

Force Taken by Graduated length leaves given Deflection at Load Point calculator uses 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) to calculate the Force Taken by Graduated Length Leaves, Force Taken by Graduated length leaves given Deflection at Load Point formula is defined as a measure of the force exerted by graduated length leaves at a specific load point, taking into account the deflection, modulus of elasticity, number of leaves, breadth, and thickness of the leaves, as well as the length of the load point. Force Taken by Graduated Length Leaves is denoted by Pg symbol.

How to calculate Force Taken by Graduated length leaves given Deflection at Load Point using this online calculator? To use this online calculator for Force Taken by Graduated length leaves given Deflection at Load Point, enter Deflection of Graduated Leaf at Load Point g), Modulus of Elasticity of Spring (E), 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 Taken by Graduated length leaves given Deflection at Load Point calculation can be explained with given input values -> 27814.44 = 0.036*207000000000*15*0.108*0.012^3/(6*0.5^3).

FAQ

What is Force Taken by Graduated length leaves given Deflection at Load Point?
Force Taken by Graduated length leaves given Deflection at Load Point formula is defined as a measure of the force exerted by graduated length leaves at a specific load point, taking into account the deflection, modulus of elasticity, number of leaves, breadth, and thickness of the leaves, as well as the length of the load point and is represented as Pg = δg*E*ng*b*t^3/(6*L^3) or 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). Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point, Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it, 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 Taken by Graduated length leaves given Deflection at Load Point?
Force Taken by Graduated length leaves given Deflection at Load Point formula is defined as a measure of the force exerted by graduated length leaves at a specific load point, taking into account the deflection, modulus of elasticity, number of leaves, breadth, and thickness of the leaves, as well as the length of the load point is calculated using 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). To calculate Force Taken by Graduated length leaves given Deflection at Load Point, you need Deflection of Graduated Leaf at Load Point g), Modulus of Elasticity of Spring (E), 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 Deflection of Graduated Leaf at Load Point, Modulus of Elasticity of Spring, 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 Taken by Graduated Length Leaves?
In this formula, Force Taken by Graduated Length Leaves uses Deflection of Graduated Leaf at Load Point, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever of Leaf Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 Graduated Length Leaves = 2*Force Taken by Full Length Leaves*Number of Graduated Length Leaves/(3*Number of Full length Leaves)
  • Force Taken by Graduated Length Leaves = Force Applied at End of Leaf Spring-Force Taken by Full Length Leaves
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