Deflection at Load Point Graduated Length Leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
δg = 6*Pg*L^3/(E*ng*b*t^3)
This formula uses 7 Variables
Variables Used
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.
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.
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.
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)
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δg = 6*Pg*L^3/(E*ng*b*t^3) --> 6*28900*0.5^3/(207000000000*15*0.108*0.012^3)
Evaluating ... ...
δg = 0.0374050300524178
STEP 3: Convert Result to Output's Unit
0.0374050300524178 Meter -->37.4050300524178 Millimeter (Check conversion here)
FINAL ANSWER
37.4050300524178 37.40503 Millimeter <-- Deflection of graduated leaf at load point
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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25 Extra Full Length Leaves Calculators

Length of Cantilever given Deflection at end of Spring
Go Length of Cantilever 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)/(12*Force Applied at End of Leaf Spring))^(1/3)
Modulus of Elasticity of Spring given Deflection at end of Spring
Go Modulus of Elasticity of Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Deflection of full leaf at load point*Width of Leaf*Thickness of Leaf^3)
Deflection at end of leaf Spring
Go Deflection of full leaf at load point = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)
Force applied at end of Spring given Deflection at end of Spring
Go 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)/(12*Length of Cantilever of Leaf Spring^3)
Number of Graduated length leaves given Force taken by extra full length leaves
Go 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))
Thickness of each leaf given Bending Stress in extra full length leaves
Go Thickness of Leaf = sqrt(12*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Bending Stress in full leaf))
Length of Cantilever given Deflection of Spring at load point
Go Length of Cantilever of Leaf Spring = (Deflection of full leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Force Taken by Graduated Length Leaves))^(1/3)
Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves
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
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)
Width of each leaf of leaf Spring given Deflection of Spring at load point
Go Width of Leaf = 4*Force Taken by Graduated Length Leaves*(Length of Cantilever of Leaf Spring^3)/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection of full leaf at load point*Thickness of Leaf^3)
Portion of Force taken by extra full length leaf given deflection of Spring at load point
Go Force Taken by Graduated Length Leaves = Deflection of full leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Length of Cantilever of Leaf Spring^3)
Number of Graduated length leaves given Bending Stress in extra full length leaves
Go Number of Graduated Length Leaves = ((18*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)
Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point
Go Modulus of Elasticity of Spring = 4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection at end of leaf spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Deflection of leaf Spring at load point
Go Deflection at end of leaf spring = 4*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 on Graduated Length Leaves
Go Bending Stress in graduated leaf = 12*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2)
Number of extra full length leaves given Bending Stress in extra full length leaves
Go Number of Full 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*3))-2*Number of Graduated Length Leaves/3
Number of extra full length leaves given Deflection of Spring at load point
Go Number of Full length Leaves = 4*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection of full leaf at load point*Width of Leaf*Thickness of Leaf^3)
Force applied at end of Spring given Bending Stress in extra full length leaves
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)
Length of Cantilever given Bending Stress in extra full length leaves
Go Length of Cantilever 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*Force Applied at End of Leaf Spring)
Width of each leaf given Bending Stress in extra full length leaves
Go Width of Leaf = 18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Bending Stress in full leaf*Thickness of Leaf^2)
Bending Stress in extra full length leaves
Go Bending Stress in full leaf = 18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2)
Bending Stress in Plate Graduated Length Leaves
Go Bending Stress in graduated 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
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 Force taken by extra full length leaves
Go 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 taken by extra full length leaves given Force applied at end of Spring
Go Force Taken by Full Length Leaves = 3*Number of Full length Leaves*Force Applied at End of Leaf Spring/(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)

Deflection at Load Point Graduated Length Leaves Formula

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)
δg = 6*Pg*L^3/(E*ng*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 Deflection at Load Point Graduated Length Leaves?

Deflection at Load Point Graduated Length Leaves calculator uses 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) to calculate the Deflection of graduated leaf at load point, The Deflection at Load Point Graduated Length Leaves formula is defined as the degree to which a structural element is displaced under a load (due to its deformation). Deflection of graduated leaf at load point is denoted by δg symbol.

How to calculate Deflection at Load Point Graduated Length Leaves using this online calculator? To use this online calculator for 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), Number of Graduated Length Leaves (ng), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Deflection at Load Point Graduated Length Leaves calculation can be explained with given input values -> 37405.03 = 6*28900*0.5^3/(207000000000*15*0.108*0.012^3).

FAQ

What is Deflection at Load Point Graduated Length Leaves?
The Deflection at Load Point Graduated Length Leaves formula is defined as the degree to which a structural element is displaced under a load (due to its deformation) and is represented as δg = 6*Pg*L^3/(E*ng*b*t^3) or 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). 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, 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.
How to calculate Deflection at Load Point Graduated Length Leaves?
The Deflection at Load Point Graduated Length Leaves formula is defined as the degree to which a structural element is displaced under a load (due to its deformation) is calculated using 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). To calculate 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), Number of Graduated Length Leaves (ng), 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, Number of Graduated Length Leaves, 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.
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