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

✖Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves.ⓘ Force Taken by Graduated Length Leaves [P_g]			+10% -10%
✖The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%
✖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.ⓘ Modulus of Elasticity of Spring [E]			+10% -10%
✖Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.ⓘ Deflection of graduated leaf at load point [δ_g]			+10% -10%
✖Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.ⓘ Width of Leaf [b]			+10% -10%
✖Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.ⓘ Thickness of Leaf [t]			+10% -10%

✖Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.ⓘ Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves [n_g]

⎘ Copy

👎

Formula

✖

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

Formula

`"n"_{"g"} = 6*"P"_{"g"}*"L"^3/("E"*"δ"_{"g"}*"b"*"t"^3)`

Example

`"15.58543"=6*"28900N"*("500mm")^3/("207000N/mm²"*"36mm"*"108mm"*("12mm")^3)`

Calculator

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF

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)
n_g = 6*P_g*L^3/(E*δ_g*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

n_g = 6*P_g*L^3/(E*δ_g*b*t^3) --> 6*28900*0.5^3/(207000000000*0.036*0.108*0.012^3)

Evaluating ... ...

n_g = 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)

You are here -

Home » Physics » Design of Automobile Elements » Design of Springs » Multi-Leaf Spring » Number of leaves » Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 8 Number of leaves Calculators

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

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 on Graduated length leaves

Go 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

Number of Extra Full length leaves given Bending Stress on Graduated length leaves

Go Number of Full length Leaves = ((4*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*Number of Graduated Length Leaves/3

Number of Graduated length leaves given Bending Stress in Plate

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

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 applied at End of Spring

Go Number of Full length Leaves = (2*Number of Graduated Length Leaves*Force Applied at End of Leaf Spring/(3*Force Taken by Graduated Length Leaves))-2*Number of Graduated Length Leaves/3

Number of Extra Full Length Leaves given Force Taken by Graduated Length Leaves

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 Force taken by Graduated length leaves

Go 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 given Deflection at Load Point Graduated-Length Leaves Formula

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 n_g 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 (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Deflection of graduated leaf at load point (δ_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 n_g = 6*P_g*L^3/(E*δ_g*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 (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Deflection of graduated leaf at load point (δ_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

Home

FREE PDFs

🔍 Search