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

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Width of Full Size Bearing Plate))
tp = sqrt((6*Mb)/(σ*n*B))
This formula uses 1 Functions, 5 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.
Number of Plates - Number of Plates is the count of plates in the leaf spring.
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)
Number of Plates: 8 --> No Conversion Required
Width of Full Size Bearing Plate: 112 Millimeter --> 0.112 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tp = sqrt((6*Mb)/(σ*n*B)) --> sqrt((6*5.2)/(15000000*8*0.112))
Evaluating ... ...
tp = 0.00152362350055011
STEP 3: Convert Result to Output's Unit
0.00152362350055011 Meter -->1.52362350055011 Millimeter (Check conversion here)
FINAL ANSWER
1.52362350055011 1.523624 Millimeter <-- Thickness of Plate
(Calculation completed in 00.004 seconds)

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Created by Anshika Arya
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 Total Resisting Moment by n Plates Formula

Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Width of Full Size Bearing Plate))
tp = sqrt((6*Mb)/(σ*n*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 Total Resisting Moment by n Plates?

Thickness of each Plate given Total Resisting Moment by n Plates calculator uses Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of Plates*Width of Full Size Bearing Plate)) to calculate the Thickness of Plate, The Thickness of each plate given total resisting moment by n plates 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 tp symbol.

How to calculate Thickness of each Plate given Total Resisting Moment by n Plates using this online calculator? To use this online calculator for Thickness of each Plate given Total Resisting Moment by n Plates, enter Bending Moment in Spring (Mb), Maximum Bending Stress in Plates (σ), Number of Plates (n) & Width of Full Size Bearing Plate (B) and hit the calculate button. Here is how the Thickness of each Plate given Total Resisting Moment by n Plates calculation can be explained with given input values -> 1523.624 = sqrt((6*5.2)/(15000000*8*0.112)).

FAQ

What is Thickness of each Plate given Total Resisting Moment by n Plates?
The Thickness of each plate given total resisting moment by n plates 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 tp = sqrt((6*Mb)/(σ*n*B)) or Thickness of Plate = sqrt((6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Number of 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, Number of Plates is the count of plates in the leaf spring & Width of Full Size Bearing Plate is the smaller dimension of plate.
How to calculate Thickness of each Plate given Total Resisting Moment by n Plates?
The Thickness of each plate given total resisting moment by n plates 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*Number of Plates*Width of Full Size Bearing Plate)). To calculate Thickness of each Plate given Total Resisting Moment by n Plates, you need Bending Moment in Spring (Mb), Maximum Bending Stress in Plates (σ), Number of Plates (n) & 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, Number of 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, Number of Plates & 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 = ((12*Moment of Inertia)/(Width of Full Size Bearing Plate))^(1/3)
  • 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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