Thickness of Plate given Maximum Bending Stress Developed in Plate 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%
✖Width of Full Size Bearing Plate is the smaller dimension of plate.ⓘ Width of Full Size Bearing Plate [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%

✖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 given Maximum Bending Stress Developed in Plate [t_p]

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Formula

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Thickness of Plate given Maximum Bending Stress Developed in Plate

Formula

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

Example

`"12.96458mm"=sqrt((3*"251kN"*"6mm")/(2*"8"*"112mm"*"15MPa"))`

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Thickness of Plate given Maximum Bending Stress Developed in Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
t_p = sqrt((3*w*l)/(2*n*B*σ))
This formula uses 1 Functions, 6 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.
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.
Width of Full Size Bearing Plate - (Measured in Meter) - Width of Full Size Bearing Plate is the smaller dimension of plate.
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.

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
Width of Full Size Bearing Plate: 112 Millimeter --> 0.112 Meter (Check conversion here)
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = sqrt((3*w*l)/(2*n*B*σ)) --> sqrt((3*251000*0.006)/(2*8*0.112*15000000))

Evaluating ... ...

t_p = 0.0129645808703119

STEP 3: Convert Result to Output's Unit

0.0129645808703119 Meter -->12.9645808703119 Millimeter (Check conversion here)

FINAL ANSWER

12.9645808703119 ≈ 12.96458 Millimeter <-- Thickness of Plate

(Calculation completed in 00.022 seconds)

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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 Plate given Maximum Bending Stress Developed in Plate Formula

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))
t_p = sqrt((3*w*l)/(2*n*B*σ))

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 Thickness of Plate given Maximum Bending Stress Developed in Plate?

Thickness of Plate given Maximum Bending Stress Developed in Plate calculator uses 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)) to calculate the Thickness of Plate, Thickness of plate given maximum bending stress developed in plate is defined as the distance through an object, as distinct from width or height. Thickness of Plate is denoted by t_p symbol.

How to calculate Thickness of Plate given Maximum Bending Stress Developed in Plate using this online calculator? To use this online calculator for Thickness of Plate given Maximum Bending Stress Developed in Plate, enter Point Load at Center of Spring (w), Span of Spring (l), Number of Plates (n), Width of Full Size Bearing Plate (B) & Maximum Bending Stress in Plates (σ) and hit the calculate button. Here is how the Thickness of Plate given Maximum Bending Stress Developed in Plate calculation can be explained with given input values -> 12964.58 = sqrt((3*251000*0.006)/(2*8*0.112*15000000)).

FAQ

What is Thickness of Plate given Maximum Bending Stress Developed in Plate?

Thickness of plate given maximum bending stress developed in plate is defined as the distance through an object, as distinct from width or height and is represented as t_p = sqrt((3*w*l)/(2*n*B*σ)) or 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)). 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, Width of Full Size Bearing Plate is the smaller dimension of plate & 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.

How to calculate Thickness of Plate given Maximum Bending Stress Developed in Plate?

Thickness of plate given maximum bending stress developed in plate is defined as the distance through an object, as distinct from width or height is calculated using 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)). To calculate Thickness of Plate given Maximum Bending Stress Developed in Plate, you need Point Load at Center of Spring (w), Span of Spring (l), Number of Plates (n), Width of Full Size Bearing Plate (B) & Maximum Bending Stress in Plates (σ). With our tool, you need to enter the respective value for Point Load at Center of Spring, Span of Spring, Number of Plates, Width of Full Size Bearing Plate & Maximum Bending Stress in Plates 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 Point Load at Center of Spring, Span of Spring, Number of Plates, Width of Full Size Bearing Plate & Maximum Bending Stress in Plates. 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 = 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)
Thickness of Plate = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Modulus of Elasticity Leaf Spring)

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