Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Graduated Length Leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection of Graduated Leaf at Load Point*Width of Leaf*Thickness of Leaf^3)
ng = 6*Pg*L^3/(E*δg*b*t^3)
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 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.
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Force Taken by Graduated Length Leaves: 28900 Newton --> 28900 Newton No Conversion Required
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion ​here)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion ​here)
Deflection of Graduated Leaf at Load Point: 36 Millimeter --> 0.036 Meter (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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ng = 6*Pg*L^3/(E*δg*b*t^3) --> 6*28900*0.5^3/(207000000000*0.036*0.108*0.012^3)
Evaluating ... ...
ng = 15.5854291885074
STEP 3: Convert Result to Output's Unit
15.5854291885074 --> No Conversion Required
FINAL ANSWER
15.5854291885074 15.58543 <-- Number of Graduated Length Leaves
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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Number of leaves Calculators

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

Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves Formula

​LaTeX ​Go
Number of Graduated Length Leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection of Graduated Leaf at Load Point*Width of Leaf*Thickness of Leaf^3)
ng = 6*Pg*L^3/(E*δg*b*t^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 Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves?

Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves calculator uses Number of Graduated Length Leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection of Graduated Leaf at Load Point*Width of Leaf*Thickness of Leaf^3) to calculate the Number of Graduated Length Leaves, The Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves formula is defined as the number of graduated-length leaves including master leaf. Number of Graduated Length Leaves is denoted by ng symbol.

How to calculate Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves using this online calculator? To use this online calculator for Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves, enter Force Taken by Graduated Length Leaves (Pg), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Deflection of Graduated Leaf at Load Point g), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves calculation can be explained with given input values -> 15.58543 = 6*28900*0.5^3/(207000000000*0.036*0.108*0.012^3).

FAQ

What is Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves?
The Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves formula is defined as the number of graduated-length leaves including master leaf and is represented as ng = 6*Pg*L^3/(E*δg*b*t^3) or Number of Graduated Length Leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection of Graduated Leaf at Load Point*Width of Leaf*Thickness of Leaf^3). Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves, The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring, 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, Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point, 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.
How to calculate Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves?
The Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves formula is defined as the number of graduated-length leaves including master leaf is calculated using Number of Graduated Length Leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection of Graduated Leaf at Load Point*Width of Leaf*Thickness of Leaf^3). To calculate Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves, you need Force Taken by Graduated Length Leaves (Pg), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Deflection of Graduated Leaf at Load Point g), Width of Leaf (b) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Deflection of Graduated Leaf at Load Point, Width of 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 Number of Graduated Length Leaves?
In this formula, Number of Graduated Length Leaves uses Force Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Deflection of Graduated Leaf at Load Point, Width of Leaf & Thickness of Leaf. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Number of Graduated Length Leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Bending Stress in Graduated Leaf*Width of Leaf*Thickness of Leaf^2)
  • Number of Graduated Length Leaves = Force Taken by Graduated Length Leaves*3*Number of Full length Leaves/(2*Force Taken by Full Length Leaves)
  • Number of Graduated Length Leaves = ((12*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Graduated Leaf*Width of Leaf*Thickness of Leaf^2*2))-3*Number of Full length Leaves/2
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