Width of Plates given Maximum Bending Stress Developed in Plates Calculator

✖Point load at center of spring is an equivalent load applied to a single point.ⓘ Point Load at Center of Spring [w]			+10% -10%
✖Span of spring is basically the expanded length of spring.ⓘ Span of Spring [l]			+10% -10%
✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates [n]			+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%
✖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 Plates given Maximum Bending Stress Developed in Plates [B]

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Formula

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Width of Plates given Maximum Bending Stress Developed in Plates

Formula

`"B" = (3*"w"*"l")/(2*"n"*"σ"*"t"_{"p"}^2)`

Example

`"13072.92mm"=(3*"251kN"*"6mm")/(2*"8"*"15MPa"*("1.2mm")^2)`

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Width of Plates given Maximum Bending Stress Developed in Plates Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
B = (3*w*l)/(2*n*σ*t_p^2)
This formula uses 6 Variables

Variables Used

Width of Full Size Bearing Plate - (Measured in Meter) - Width of Full Size Bearing Plate is the smaller dimension of plate.
Point Load at Center of Spring - (Measured in Newton) - Point load at center of spring is an equivalent load applied to a single point.
Span of Spring - (Measured in Meter) - Span of spring is basically the expanded length of spring.
Number of Plates - Number of Plates is the count of plates in the leaf spring.
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

Point Load at Center of Spring: 251 Kilonewton --> 251000 Newton (Check conversion here)
Span of Spring: 6 Millimeter --> 0.006 Meter (Check conversion here)
Number of Plates: 8 --> No Conversion Required
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 = (3*w*l)/(2*n*σ*t_p^2) --> (3*251000*0.006)/(2*8*15000000*0.0012^2)

Evaluating ... ...

B = 13.0729166666667

STEP 3: Convert Result to Output's Unit

13.0729166666667 Meter -->13072.9166666667 Millimeter (Check conversion here)

FINAL ANSWER

13072.9166666667 ≈ 13072.92 Millimeter <-- Width of Full Size Bearing Plate

(Calculation completed in 00.004 seconds)

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< 4 Width of Plate Calculators

Width of Plates given Maximum Bending Stress Developed in Plates

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

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

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

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

Width of Plates given Maximum Bending Stress Developed in Plates Formula

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)
B = (3*w*l)/(2*n*σ*t_p^2)

What is bending stress in beam?

When a beam is subjected to external loads, shear forces and bending moments develop in the beam. The beam itself must develop internal resistance to resist shear forces and bending moments. The stresses caused by the bending moments are called bending stresses.

How to Calculate Width of Plates given Maximum Bending Stress Developed in Plates?

Width of Plates given Maximum Bending Stress Developed in Plates calculator uses 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) to calculate the Width of Full Size Bearing Plate, Width of plates given maximum bending stress developed in plates 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 Plates given Maximum Bending Stress Developed in Plates using this online calculator? To use this online calculator for Width of Plates given Maximum Bending Stress Developed in Plates, enter Point Load at Center of Spring (w), Span of Spring (l), Number of Plates (n), Maximum Bending Stress in Plates (σ) & Thickness of Plate (t_p) and hit the calculate button. Here is how the Width of Plates given Maximum Bending Stress Developed in Plates calculation can be explained with given input values -> 1.5E+6 = (3*251000*0.006)/(2*8*15000000*0.0012^2).

FAQ

What is Width of Plates given Maximum Bending Stress Developed in Plates?

Width of plates given maximum bending stress developed in plates is defined as the measurement or extent of something from side to side and is represented as B = (3*w*l)/(2*n*σ*t_p^2) or 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). Point load at center of spring is an equivalent load applied to a single point, Span of spring is basically the expanded length of spring, Number of Plates is the count of plates in the leaf spring, 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 Plates given Maximum Bending Stress Developed in Plates?

Width of plates given maximum bending stress developed in plates is defined as the measurement or extent of something from side to side is calculated using 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). To calculate Width of Plates given Maximum Bending Stress Developed in Plates, you need Point Load at Center of Spring (w), Span of Spring (l), Number of Plates (n), Maximum Bending Stress in Plates (σ) & Thickness of Plate (t_p). With our tool, you need to enter the respective value for Point Load at Center of Spring, Span of Spring, Number of Plates, 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 Point Load at Center of Spring, Span of Spring, Number of Plates, 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 = (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)

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