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Thickness of each Plate given Bending Moment on Single Plate Calculator

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✖Bending Moment in Spring is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment in Spring [M_b]			+10% -10%
✖Maximum bending stress in plates is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Maximum Bending Stress in Plates [σ]			+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 Bending Moment on Single Plate [t_p]

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Thickness of each Plate given Bending Moment on Single Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate))
t_p = sqrt((6*M_b)/(σ*B))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Bending Moment in Spring - (Measured in Newton Meter) - Bending Moment in Spring is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Maximum Bending Stress in Plates - (Measured in Pascal) - Maximum bending stress in plates is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
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

Bending Moment in Spring: 5200 Newton Millimeter --> 5.2 Newton Meter (Check conversion here)
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (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 = sqrt((6*M_b)/(σ*B)) --> sqrt((6*5.2)/(15000000*0.112))

Evaluating ... ...

t_p = 0.00430945803685667

STEP 3: Convert Result to Output's Unit

0.00430945803685667 Meter -->4.30945803685667 Millimeter (Check conversion here)

FINAL ANSWER

4.30945803685667 ≈ 4.309458 Millimeter <-- Thickness of Plate

(Calculation completed in 00.007 seconds)

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< Thickness of Plate Calculators

Thickness of each Plate given Total Resisting Moment by n Plates

LaTeX 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

LaTeX 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

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

Thickness of each Plate given Moment of Inertia of each Plate

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

Thickness of each Plate given Bending Moment on Single Plate Formula

LaTeX Go

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

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 Bending Moment on Single Plate?

Thickness of each Plate given Bending Moment on Single Plate calculator uses Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate)) to calculate the Thickness of Plate, The Thickness of each plate given bending moment on single 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 Bending Moment on Single Plate using this online calculator? To use this online calculator for Thickness of each Plate given Bending Moment on Single Plate, enter Bending Moment in Spring (M_b), Maximum Bending Stress in Plates (σ) & Width of Full Size Bearing Plate (B) and hit the calculate button. Here is how the Thickness of each Plate given Bending Moment on Single Plate calculation can be explained with given input values -> 4309.458 = sqrt((6*5.2)/(15000000*0.112)).

FAQ

What is Thickness of each Plate given Bending Moment on Single Plate?

The Thickness of each plate given bending moment on single 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 = sqrt((6*M_b)/(σ*B)) or Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate)). Bending Moment in Spring is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, Maximum bending stress in plates is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend & Width of Full Size Bearing Plate is the smaller dimension of plate.

How to calculate Thickness of each Plate given Bending Moment on Single Plate?

The Thickness of each plate given bending moment on single 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 = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate)). To calculate Thickness of each Plate given Bending Moment on Single Plate, you need Bending Moment in Spring (M_b), Maximum Bending Stress in Plates (σ) & Width of Full Size Bearing Plate (B). With our tool, you need to enter the respective value for Bending Moment in Spring, Maximum Bending Stress in Plates & 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 Bending Moment in Spring, Maximum Bending Stress in Plates & Width of Full Size Bearing Plate. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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