Deflection of Center of Leaf Spring in Pickering Governor given Value of Load Calculator

✖Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Load [P_load]			+10% -10%
✖Distance between fixed ends of spring is a numerical measurement of how far apart objects or points are.ⓘ Distance between Fixed Ends of Spring [l]			+10% -10%
✖Young’s modulus of the material of the spring is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.ⓘ Young’s Modulus of the Material of the Spring [E]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%

✖Deflection of center of leaf spring is a numerical measurement of how far apart objects or points are.ⓘ Deflection of Center of Leaf Spring in Pickering Governor given Value of Load [δ]

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Deflection of Center of Leaf Spring in Pickering Governor given Value of Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Center of Leaf Spring = (Load*Distance between Fixed Ends of Spring^3)/(192*Young’s Modulus of the Material of the Spring*Moment of Inertia)
δ = (P_load*l^3)/(192*E*I)
This formula uses 5 Variables

Variables Used

Deflection of Center of Leaf Spring - (Measured in Meter) - Deflection of center of leaf spring is a numerical measurement of how far apart objects or points are.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross section.
Distance between Fixed Ends of Spring - (Measured in Meter) - Distance between fixed ends of spring is a numerical measurement of how far apart objects or points are.
Young’s Modulus of the Material of the Spring - (Measured in Pascal) - Young’s modulus of the material of the spring is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

STEP 1: Convert Input(s) to Base Unit

Load: 46 Newton --> 46 Newton No Conversion Required
Distance between Fixed Ends of Spring: 13 Meter --> 13 Meter No Conversion Required
Young’s Modulus of the Material of the Spring: 10 Newton per Square Meter --> 10 Pascal (Check conversion here)
Moment of Inertia: 2.66 Kilogram Square Meter --> 2.66 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (P_load*l^3)/(192*E*I) --> (46*13^3)/(192*10*2.66)

Evaluating ... ...

δ = 19.7881422305764

STEP 3: Convert Result to Output's Unit

19.7881422305764 Meter --> No Conversion Required

FINAL ANSWER

19.7881422305764 ≈ 19.78814 Meter <-- Deflection of Center of Leaf Spring

(Calculation completed in 00.004 seconds)

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< Pickering Governor Calculators

Deflection of Center of Leaf Spring in Pickering Governor

LaTeX Go Deflection of Center of Leaf Spring = (Mass Attached at the Center of the Leaf Spring*Angular Speed of the Governor Spindle^2*Distance from Spindle Axis to Centre of Gravity*Distance between Fixed Ends of Spring^3)/(192*Young’s Modulus of the Material of the Spring*Moment of Inertia)

Deflection of Center of Leaf Spring in Pickering Governor given Value of Load

LaTeX Go Deflection of Center of Leaf Spring = (Load*Distance between Fixed Ends of Spring^3)/(192*Young’s Modulus of the Material of the Spring*Moment of Inertia)

Moment of Inertia of Pickering Governor Cross-Section about Neutral Axis

LaTeX Go Moment of Inertia = (Width of Spring*Thickness of Spring^3)/12

Deflection of Center of Leaf Spring in Pickering Governor given Value of Load Formula

LaTeX Go

Deflection of Center of Leaf Spring = (Load*Distance between Fixed Ends of Spring^3)/(192*Young’s Modulus of the Material of the Spring*Moment of Inertia)
δ = (P_load*l^3)/(192*E*I)

What is Pickering governor?

Pickering governor is a governor in which the revolving balls act against curved flat springs. The Pickering governor consists of three straight leaf springs each placed at equal angular intervals around the spindle.

How to Calculate Deflection of Center of Leaf Spring in Pickering Governor given Value of Load?

Deflection of Center of Leaf Spring in Pickering Governor given Value of Load calculator uses Deflection of Center of Leaf Spring = (Load*Distance between Fixed Ends of Spring^3)/(192*Young’s Modulus of the Material of the Spring*Moment of Inertia) to calculate the Deflection of Center of Leaf Spring, The Deflection of center of leaf spring in Pickering governor given value of load happens when the speed of the spindle increases the weight on the leaf spring tends to move outside. Deflection of Center of Leaf Spring is denoted by δ symbol.

How to calculate Deflection of Center of Leaf Spring in Pickering Governor given Value of Load using this online calculator? To use this online calculator for Deflection of Center of Leaf Spring in Pickering Governor given Value of Load, enter Load (P_load), Distance between Fixed Ends of Spring (l), Young’s Modulus of the Material of the Spring (E) & Moment of Inertia (I) and hit the calculate button. Here is how the Deflection of Center of Leaf Spring in Pickering Governor given Value of Load calculation can be explained with given input values -> 19.78814 = (46*13^3)/(192*10*2.66).

FAQ

What is Deflection of Center of Leaf Spring in Pickering Governor given Value of Load?

The Deflection of center of leaf spring in Pickering governor given value of load happens when the speed of the spindle increases the weight on the leaf spring tends to move outside and is represented as δ = (P_load*l^3)/(192*E*I) or Deflection of Center of Leaf Spring = (Load*Distance between Fixed Ends of Spring^3)/(192*Young’s Modulus of the Material of the Spring*Moment of Inertia). Load is the instantaneous load applied perpendicular to the specimen cross section, Distance between fixed ends of spring is a numerical measurement of how far apart objects or points are, Young’s modulus of the material of the spring is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression & Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Deflection of Center of Leaf Spring in Pickering Governor given Value of Load?

The Deflection of center of leaf spring in Pickering governor given value of load happens when the speed of the spindle increases the weight on the leaf spring tends to move outside is calculated using Deflection of Center of Leaf Spring = (Load*Distance between Fixed Ends of Spring^3)/(192*Young’s Modulus of the Material of the Spring*Moment of Inertia). To calculate Deflection of Center of Leaf Spring in Pickering Governor given Value of Load, you need Load (P_load), Distance between Fixed Ends of Spring (l), Young’s Modulus of the Material of the Spring (E) & Moment of Inertia (I). With our tool, you need to enter the respective value for Load, Distance between Fixed Ends of Spring, Young’s Modulus of the Material of the Spring & Moment of Inertia 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 Deflection of Center of Leaf Spring?

In this formula, Deflection of Center of Leaf Spring uses Load, Distance between Fixed Ends of Spring, Young’s Modulus of the Material of the Spring & Moment of Inertia. We can use 1 other way(s) to calculate the same, which is/are as follows -

Deflection of Center of Leaf Spring = (Mass Attached at the Center of the Leaf Spring*Angular Speed of the Governor Spindle^2*Distance from Spindle Axis to Centre of Gravity*Distance between Fixed Ends of Spring^3)/(192*Young’s Modulus of the Material of the Spring*Moment of Inertia)

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