Width of each Plate given Bending Moment on Single Plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Thickness of Plate^2)
B = (6*Mb)/(σ*tp^2)
This formula uses 4 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.
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)
Thickness of Plate: 1.2 Millimeter --> 0.0012 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = (6*Mb)/(σ*tp^2) --> (6*5.2)/(15000000*0.0012^2)
Evaluating ... ...
B = 1.44444444444444
STEP 3: Convert Result to Output's Unit
1.44444444444444 Meter -->1444.44444444444 Millimeter (Check conversion ​here)
FINAL ANSWER
1444.44444444444 1444.444 Millimeter <-- Width of Full Size Bearing Plate
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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 Bending Moment on Single Plate Formula

​LaTeX ​Go
Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Thickness of Plate^2)
B = (6*Mb)/(σ*tp^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 Bending Moment on Single Plate?

Width of each Plate given Bending Moment on Single Plate calculator uses Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Thickness of Plate^2) to calculate the Width of Full Size Bearing Plate, The Width of each plate given bending moment on single plate 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 Bending Moment on Single Plate using this online calculator? To use this online calculator for Width of each Plate given Bending Moment on Single Plate, enter Bending Moment in Spring (Mb), Maximum Bending Stress in Plates (σ) & Thickness of Plate (tp) and hit the calculate button. Here is how the Width of each Plate given Bending Moment on Single Plate calculation can be explained with given input values -> 169795.9 = (6*5.2)/(15000000*0.0012^2).

FAQ

What is Width of each Plate given Bending Moment on Single Plate?
The Width of each plate given bending moment on single plate formula is defined as the measurement or extent of something from side to side and is represented as B = (6*Mb)/(σ*tp^2) or Width of Full Size Bearing Plate = (6*Bending Moment in Spring)/(Maximum Bending Stress in 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 & 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 Bending Moment on Single Plate?
The Width of each plate given bending moment on single plate 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*Thickness of Plate^2). To calculate Width of each Plate given Bending Moment on Single Plate, you need Bending Moment in Spring (Mb), Maximum Bending Stress in Plates (σ) & Thickness of Plate (tp). With our tool, you need to enter the respective value for Bending Moment in Spring, Maximum Bending Stress in 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 & 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*Number of 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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!