Thickness of each Plate given Moment of Inertia of each Plate Calculator

✖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%
✖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 each Plate given Moment of Inertia of each Plate [t_p]

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Formula

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Thickness of each Plate given Moment of Inertia of each Plate

Formula

`"t"_{"p"} = ((12*"I")/("B"))^(1/3)`

Example

`"8.121653mm"=((12*"5g*mm²")/("112mm"))^(1/3)`

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Thickness of each Plate given Moment of Inertia of each Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Plate = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3)
t_p = ((12*I)/(B))^(1/3)
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia: 5 Gram Square Millimeter --> 5E-09 Kilogram Square Meter (Check conversion here)
Width of Full Size Bearing Plate: 112 Millimeter --> 0.112 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = ((12*I)/(B))^(1/3) --> ((12*5E-09)/(0.112))^(1/3)

Evaluating ... ...

t_p = 0.0081216526081471

STEP 3: Convert Result to Output's Unit

0.0081216526081471 Meter -->8.1216526081471 Millimeter (Check conversion here)

FINAL ANSWER

8.1216526081471 ≈ 8.121653 Millimeter <-- Thickness of Plate

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 6 Thickness of Plate Calculators

Thickness of Plate given Maximum Bending Stress Developed in Plate

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

Thickness of each Plate given Total Resisting Moment by n Plates

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

Thickness of Plate given Central Deflection of Leaf Spring

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

Thickness of each Plate given Bending Moment on Single Plate

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

Thickness of Plate given Radius of Plate to which they are Bent

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

Thickness of each Plate given Moment of Inertia of each Plate

Go Thickness of Plate = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3)

Thickness of each Plate given Moment of Inertia of each Plate Formula

Thickness of Plate = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3)
t_p = ((12*I)/(B))^(1/3)

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 Thickness of each Plate given Moment of Inertia of each Plate?

Thickness of each Plate given Moment of Inertia of each Plate calculator uses Thickness of Plate = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3) to calculate the Thickness of Plate, The Thickness of each plate given Moment of inertia of each plate formula is defined as 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 is denoted by t_p symbol.

How to calculate Thickness of each Plate given Moment of Inertia of each Plate using this online calculator? To use this online calculator for Thickness of each Plate given Moment of Inertia of each Plate, enter Moment of Inertia (I) & Width of Full Size Bearing Plate (B) and hit the calculate button. Here is how the Thickness of each Plate given Moment of Inertia of each Plate calculation can be explained with given input values -> 8121.653 = ((12*5E-09)/(0.112))^(1/3).

FAQ

What is Thickness of each Plate given Moment of Inertia of each Plate?

The Thickness of each plate given Moment of inertia of each plate formula is defined as the state or quality of being thick. the measure of the smallest dimension of a solid figure: a board of two-inch thickness and is represented as t_p = ((12*I)/(B))^(1/3) or Thickness of Plate = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3). 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 is the smaller dimension of plate.

How to calculate Thickness of each Plate given Moment of Inertia of each Plate?

The Thickness of each plate given Moment of inertia of each plate formula is defined as the state or quality of being thick. the measure of the smallest dimension of a solid figure: a board of two-inch thickness is calculated using Thickness of Plate = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3). To calculate Thickness of each Plate given Moment of Inertia of each Plate, you need Moment of Inertia (I) & Width of Full Size Bearing Plate (B). With our tool, you need to enter the respective value for Moment of Inertia & Width of Full Size Bearing Plate 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 Thickness of Plate?

In this formula, Thickness of Plate uses Moment of Inertia & Width of Full Size Bearing Plate. We can use 5 other way(s) to calculate the same, which is/are as follows -

Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate))
Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Width of Full Size Bearing Plate))
Thickness of Plate = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Modulus of Elasticity Leaf Spring*Deflection of Centre of Leaf Spring)
Thickness of Plate = sqrt((3*Point Load at Center of Spring*Span of Spring)/(2*Number of Plates*Width of Full Size Bearing Plate*Maximum Bending Stress in Plates))
Thickness of Plate = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Modulus of Elasticity Leaf Spring)

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