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" = ("B"*"t"_{"p"}^3)/12`

Example

`"0.016128g*mm²"=("112mm"*("1.2mm")^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 » Torsion of Leaf Spring » Moment of Inertia of each Leaf Spring Plate

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National Institute Of Technology (NIT), Hamirpur

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< 17 Torsion of Leaf Spring Calculators

Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates

Go Point Load at Center of Spring = (2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2*Maximum Bending Stress in Plates)/(3*Span of Spring)

Maximum Bending Stress Developed in Plates given Point Load at Center

Go Maximum Bending Stress in Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)

Number of Plates given Maximum Bending Stress Developed in Plates

Go Number of Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)

Maximum Bending Stress Developed given Central Deflection of Leaf Spring

Go Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2)

Central Deflection of Leaf Spring for given Modulus of Elasticity

Go Deflection of Centre of Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Modulus of Elasticity Leaf Spring*Thickness of Plate)

Modulus of Elasticity given Central Deflection of Leaf Spring

Go Modulus of Elasticity Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Deflection of Centre of Leaf Spring*Thickness of Plate)

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

Maximum Bending Stress Developed given Radius of Plate to which they are Bent

Go Maximum Bending Stress in Plates = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Radius of Plate)

Modulus of Elasticity given Radius of Plate to which they are Bent

Go Modulus of Elasticity Leaf Spring = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Thickness of Plate)

Radius of Plate to which they are Bent

Go Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates)

Point Load at Center of Spring Load given Bending Moment at Center of Leaf Spring

Go Point Load at Center of Spring = (4*Bending Moment in Spring)/(Span of Spring)

Moment of Inertia of each Leaf Spring Plate

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

Radius of Plate to which they are Bent given Central Deflection of Leaf Spring

Go Radius of Plate = (Span of Spring^2)/(8*Deflection of Centre of Leaf Spring)

Central Deflection of Leaf Spring

Go Deflection of Centre of Leaf Spring = (Span of Spring^2)/(8*Radius of Plate)

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

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

Load at One End given Bending Moment at Center of Leaf Spring

Go Load at One End = (2*Bending Moment in Spring)/Span of 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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