Length of Cantilever given Deflection at Load Point of Graduated length leaves Calculator

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

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Length of Cantilever given Deflection at Load Point of Graduated length leaves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cantilever of Leaf Spring = (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*Force Taken by Graduated Length Leaves))^(1/3)
L = (δ_g*E*n_g*b*t^3/(6*P_g))^(1/3)
This formula uses 7 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Deflection of Graduated Leaf at Load Point: 37.41 Millimeter --> 0.03741 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)
Force Taken by Graduated Length Leaves: 28900 Newton --> 28900 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (δ_g*E*n_g*b*t^3/(6*P_g))^(1/3) --> (0.03741*207000000000*15*0.108*0.012^3/(6*28900))^(1/3)

Evaluating ... ...

L = 0.500022143757471

STEP 3: Convert Result to Output's Unit

0.500022143757471 Meter -->500.022143757471 Millimeter (Check conversion here)

FINAL ANSWER

500.022143757471 ≈ 500.0221 Millimeter <-- Length of Cantilever of Leaf Spring

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Length of Cantilever Calculators

Length of Cantilever given Deflection at Load Point of Graduated length leaves

LaTeX Go Length of Cantilever of Leaf Spring = (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*Force Taken by Graduated Length Leaves))^(1/3)

Length of Cantilever given Bending Stress on Graduated Length Leaves

LaTeX Go Length of Cantilever 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*Force Applied at End of Leaf Spring)

Length of Cantilever given Bending Stress in Plate

LaTeX Go Length of Cantilever of Leaf Spring = Bending Stress in Graduated Leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Graduated Length Leaves)

Length of Cantilever given Bending Stress in Plate of Extra Full Length

LaTeX Go Length of Cantilever of Leaf Spring = Bending Stress in Full Leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves)

Length of Cantilever given Deflection at Load Point of Graduated length leaves Formula

LaTeX Go

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 Length of Cantilever given Deflection at Load Point of Graduated length leaves?

Length of Cantilever given Deflection at Load Point of Graduated length leaves calculator uses Length of Cantilever of Leaf Spring = (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*Force Taken by Graduated Length Leaves))^(1/3) to calculate the Length of Cantilever of Leaf Spring, Length of Cantilever given Deflection at Load Point of Graduated length leaves formula is defined as a measure of the length of a cantilever beam, which is a crucial parameter in structural analysis, determined by the deflection at the load point and other physical properties of the beam, providing valuable insights into the beam's behavior under various loads. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to calculate Length of Cantilever given Deflection at Load Point of Graduated length leaves using this online calculator? To use this online calculator for Length of Cantilever given Deflection at Load Point of Graduated length leaves, enter Deflection of Graduated Leaf at Load Point (δ_g), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Graduated Length Leaves (P_g) and hit the calculate button. Here is how the Length of Cantilever given Deflection at Load Point of Graduated length leaves calculation can be explained with given input values -> 500111.2 = (0.03741*207000000000*15*0.108*0.012^3/(6*28900))^(1/3).

FAQ

What is Length of Cantilever given Deflection at Load Point of Graduated length leaves?

Length of Cantilever given Deflection at Load Point of Graduated length leaves formula is defined as a measure of the length of a cantilever beam, which is a crucial parameter in structural analysis, determined by the deflection at the load point and other physical properties of the beam, providing valuable insights into the beam's behavior under various loads and is represented as L = (δ_g*E*n_g*b*t^3/(6*P_g))^(1/3) or Length of Cantilever of Leaf Spring = (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*Force Taken by Graduated Length Leaves))^(1/3). 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 & Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves.

How to calculate Length of Cantilever given Deflection at Load Point of Graduated length leaves?

Length of Cantilever given Deflection at Load Point of Graduated length leaves formula is defined as a measure of the length of a cantilever beam, which is a crucial parameter in structural analysis, determined by the deflection at the load point and other physical properties of the beam, providing valuable insights into the beam's behavior under various loads is calculated using Length of Cantilever of Leaf Spring = (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*Force Taken by Graduated Length Leaves))^(1/3). To calculate Length of Cantilever given Deflection at Load Point of Graduated length leaves, you need Deflection of Graduated Leaf at Load Point (δ_g), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Graduated Length Leaves (P_g). 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 & Force Taken by Graduated Length Leaves 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 Length of Cantilever of Leaf Spring?

In this formula, Length of Cantilever of Leaf Spring uses Deflection of Graduated Leaf at Load Point, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Force Taken by Graduated Length Leaves. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Cantilever of Leaf Spring = Bending Stress in Graduated Leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Graduated Length Leaves)
Length of Cantilever of Leaf Spring = Bending Stress in Full Leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves)
Length of Cantilever 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*Force Applied at End of Leaf Spring)

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