Moment of Inertia of each Leaf Spring Plate Calculator

✖Width of Full Size Bearing Plate is the smaller dimension of plate.ⓘ Width of Full Size Bearing Plate [B]			+10% -10%
✖The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness.ⓘ Thickness of Plate [t_p]			+10% -10%

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia of each Leaf Spring Plate [I]

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Formula

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Moment of Inertia of each Leaf Spring Plate

Formula

I = \frac{B \cdot {t p}^{3}}{12}

Example

0.016128 g*mm² = \frac{112 mm \cdot {1.2 mm}^{3}}{12}

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Moment of Inertia of each Leaf Spring Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = (Width of Full Size Bearing Plate*Thickness of Plate^3)/12
I = (B*t_p^3)/12
This formula uses 3 Variables

Variables Used

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.
Width of Full Size Bearing Plate - (Measured in Meter) - Width of Full Size Bearing Plate is the smaller dimension of plate.
Thickness of Plate - (Measured in Meter) - The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness.

STEP 1: Convert Input(s) to Base Unit

Width of Full Size Bearing Plate: 112 Millimeter --> 0.112 Meter (Check conversion here)
Thickness of Plate: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (B*t_p^3)/12 --> (0.112*0.0012^3)/12

Evaluating ... ...

I = 1.6128E-11

STEP 3: Convert Result to Output's Unit

1.6128E-11 Kilogram Square Meter -->0.016128 Gram Square Millimeter (Check conversion here)

FINAL ANSWER

0.016128 Gram Square Millimeter <-- Moment of Inertia

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Springs » Mechanical » Torsion of Leaf Spring » Moment of Inertia of each Leaf Spring Plate

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Torsion of Leaf Spring Calculators

Number of Plates in Leaf Spring given Total Resisting Moment by n Plates

Go Number of Plates = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)

Total Resisting Moment by n Plates

Go Total Resisting Moments = (Number of Plates*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)/6

Moment of Inertia of each Leaf Spring Plate

Go Moment of Inertia = (Width of Full Size Bearing Plate*Thickness of Plate^3)/12

Total Resisting Moment by n Plates given Bending Moment on each Plate

Go Total Resisting Moments = Number of Plates*Bending Moment in Spring

Moment of Inertia of each Leaf Spring Plate Formula

Moment of Inertia = (Width of Full Size Bearing Plate*Thickness of Plate^3)/12
I = (B*t_p^3)/12

What is moment and bending moment?

A moment is equivalent to a force multiplied by the length of the line passing through the point of reaction and that is perpendicular to the force. A bending moment is an internal reaction to a bending load. It is therefore acting on a surface that would be normal to the neutral axis of the part.

How to Calculate Moment of Inertia of each Leaf Spring Plate?

Moment of Inertia of each Leaf Spring Plate calculator uses Moment of Inertia = (Width of Full Size Bearing Plate*Thickness of Plate^3)/12 to calculate the Moment of Inertia, The Moment of Inertia of each Leaf Spring Plate formula is defined as the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force). Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia of each Leaf Spring Plate using this online calculator? To use this online calculator for Moment of Inertia of each Leaf Spring Plate, enter Width of Full Size Bearing Plate (B) & Thickness of Plate (t_p) and hit the calculate button. Here is how the Moment of Inertia of each Leaf Spring Plate calculation can be explained with given input values -> 4E+8 = (0.112*0.0012^3)/12.

FAQ

What is Moment of Inertia of each Leaf Spring Plate?

The Moment of Inertia of each Leaf Spring Plate formula is defined as the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force) and is represented as I = (B*t_p^3)/12 or Moment of Inertia = (Width of Full Size Bearing Plate*Thickness of Plate^3)/12. Width of Full Size Bearing Plate is the smaller dimension of plate & The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness.

How to calculate Moment of Inertia of each Leaf Spring Plate?

The Moment of Inertia of each Leaf Spring Plate formula is defined as the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force) is calculated using Moment of Inertia = (Width of Full Size Bearing Plate*Thickness of Plate^3)/12. To calculate Moment of Inertia of each Leaf Spring Plate, you need Width of Full Size Bearing Plate (B) & Thickness of Plate (t_p). With our tool, you need to enter the respective value for Width of Full Size Bearing Plate & Thickness of Plate 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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