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Width of each Plate given Total Resisting Moment by n Plates 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%
✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates [n]			+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%

✖Width of Full Size Bearing Plate is the smaller dimension of plate.ⓘ Width of each Plate given Total Resisting Moment by n Plates [B]

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Width of each Plate given Total Resisting Moment by n Plates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Thickness of Plate^2)
B = (6*M_b)/(σ*n*t_p^2)
This formula uses 5 Variables

Variables Used

Width of Full Size Bearing Plate - (Measured in Meter) - Width of Full Size Bearing Plate is the smaller dimension of plate.
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.
Number of Plates - Number of Plates is the count of plates in the leaf spring.
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

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)
Number of Plates: 8 --> No Conversion Required
Thickness of Plate: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (6*M_b)/(σ*n*t_p^2) --> (6*5.2)/(15000000*8*0.0012^2)

Evaluating ... ...

B = 0.180555555555556

STEP 3: Convert Result to Output's Unit

0.180555555555556 Meter -->180.555555555556 Millimeter (Check conversion here)

FINAL ANSWER

180.555555555556 ≈ 180.5556 Millimeter <-- Width of Full Size Bearing Plate

(Calculation completed in 00.004 seconds)

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< Width of Plate Calculators

Width of Plates given Maximum Bending Stress Developed in Plates

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

Width of each Plate given Total Resisting Moment by n Plates

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

Width of each Plate given Bending Moment on Single Plate

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

Width of each Plate given Moment of Inertia of each Plate

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

Width of each Plate given Total Resisting Moment by n Plates Formula

LaTeX Go

Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Thickness of Plate^2)
B = (6*M_b)/(σ*n*t_p^2)

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 Width of each Plate given Total Resisting Moment by n Plates?

Width of each Plate given Total Resisting Moment by n Plates calculator uses Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Thickness of Plate^2) to calculate the Width of Full Size Bearing Plate, The Width of each plate given total resisting moment by n plates formula is defined as the measurement or extent of something from side to side. Width of Full Size Bearing Plate is denoted by B symbol.

How to calculate Width of each Plate given Total Resisting Moment by n Plates using this online calculator? To use this online calculator for Width of each Plate given Total Resisting Moment by n Plates, enter Bending Moment in Spring (M_b), Maximum Bending Stress in Plates (σ), Number of Plates (n) & Thickness of Plate (t_p) and hit the calculate button. Here is how the Width of each Plate given Total Resisting Moment by n Plates calculation can be explained with given input values -> 21224.49 = (6*5.2)/(15000000*8*0.0012^2).

FAQ

What is Width of each Plate given Total Resisting Moment by n Plates?

The Width of each plate given total resisting moment by n plates formula is defined as the measurement or extent of something from side to side and is represented as B = (6*M_b)/(σ*n*t_p^2) or Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Thickness of Plate^2). 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, Number of Plates is the count of plates in the leaf spring & 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 Width of each Plate given Total Resisting Moment by n Plates?

The Width of each plate given total resisting moment by n plates formula is defined as the measurement or extent of something from side to side is calculated using Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Thickness of Plate^2). To calculate Width of each Plate given Total Resisting Moment by n Plates, you need Bending Moment in Spring (M_b), Maximum Bending Stress in Plates (σ), Number of Plates (n) & Thickness of Plate (t_p). With our tool, you need to enter the respective value for Bending Moment in Spring, Maximum Bending Stress in Plates, Number of Plates & Thickness of 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 Width of Full Size Bearing Plate?

In this formula, Width of Full Size Bearing Plate uses Bending Moment in Spring, Maximum Bending Stress in Plates, Number of Plates & Thickness of Plate. We can use 3 other way(s) to calculate the same, which is/are as follows -

Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Thickness of Plate^2)
Width of Full Size Bearing Plate = (12*Moment of Inertia)/(Thickness of Plate^3)
Width of Full Size Bearing Plate = (3*Point Load at Center of Spring*Span of Spring)/(2*Number of Plates*Maximum Bending Stress in Plates*Thickness of Plate^2)

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