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Thickness of Plate given Maximum Bending Stress Developed in Plate Formula

GoThickness of each Plate given Bending Moment on Single Plate Formula

GoThickness of each Plate given Moment of Inertia of each Plate Formula

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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. Check FAQs

t p = \sqrt{\frac{3 \cdot w \cdot l}{2 \cdot n \cdot B \cdot σ}}

t_p - Thickness of Plate?w - Point Load at Center of Spring?l - Span of Spring?n - Number of Plates?B - Width of Full Size Bearing Plate?σ - Maximum Bending Stress in Plates?

Thickness of Plate given Maximum Bending Stress Developed in Plate Example

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Here is how the Thickness of Plate given Maximum Bending Stress Developed in Plate equation looks like with Values.

Here is how the Thickness of Plate given Maximum Bending Stress Developed in Plate equation looks like with Units.

Here is how the Thickness of Plate given Maximum Bending Stress Developed in Plate equation looks like.

12.9646 = \sqrt{\frac{3 \cdot 251 \cdot 6}{2 \cdot 8 \cdot 112 \cdot 15}}

12.9646mm = \sqrt{\frac{3 \cdot 251kN \cdot 6mm}{2 \cdot 8 \cdot 112mm \cdot 15MPa}}

12.9646 = \sqrt{\frac{3 \cdot 251 \cdot 6}{2 \cdot 8 \cdot 112 \cdot 15}}

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Thickness of Plate given Maximum Bending Stress Developed in Plate Solution

Follow our step by step solution on how to calculate Thickness of Plate given Maximum Bending Stress Developed in Plate?

FIRST Step Consider the formula

t p = \sqrt{\frac{3 \cdot w \cdot l}{2 \cdot n \cdot B \cdot σ}}

Next Step Substitute values of Variables

∴

t p = \sqrt{\frac{3 \cdot 251kN \cdot 6mm}{2 \cdot 8 \cdot 112mm \cdot 15MPa}}

Next Step Convert Units

∴

t p = \sqrt{\frac{3 \cdot 251000N \cdot 0.006m}{2 \cdot 8 \cdot 0.112m \cdot 1.5E+7Pa}}

Next Step Prepare to Evaluate

∴

t p = \sqrt{\frac{3 \cdot 251000 \cdot 0.006}{2 \cdot 8 \cdot 0.112 \cdot 1.5E+7}}

Next Step Evaluate

∴

t p = 0.0129645808703119m

Next Step Convert to Output's Unit

∴

t p = 12.9645808703119mm

LAST Step Rounding Answer

∴

t p = 12.9646mm

Thickness of Plate given Maximum Bending Stress Developed in Plate Formula Elements

Variables

Functions

Thickness of Plate

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.

Symbol: t_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Plate

Point Load at Center of Spring

Point load at center of spring is an equivalent load applied to a single point.

Symbol: w

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Point Load at Center of Spring

Span of Spring

Span of spring is basically the expanded length of spring.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Span of Spring

Number of Plates

Number of Plates is the count of plates in the leaf spring.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Plates

Width of Full Size Bearing Plate

Width of Full Size Bearing Plate is the smaller dimension of plate.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Full Size Bearing Plate

Maximum Bending Stress in Plates

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.

Symbol: σ

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress in Plates

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.

Syntax: sqrt(Number)

Other Formulas to find Thickness of Plate

Go Thickness of each Plate given Bending Moment on Single Plate

t p = \sqrt{\frac{6 \cdot M b}{σ \cdot B}}

Go Thickness of each Plate given Moment of Inertia of each Plate

t p = {(\frac{12 \cdot I}{B})}^{\frac{1}{3}}

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

t p = \sqrt{\frac{6 \cdot M b}{σ \cdot n \cdot B}}

Go Thickness of Plate given Central Deflection of Leaf Spring

t p = \frac{σ \cdot l^{2}}{4 \cdot E \cdot δ}

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

Thickness of Plate given Maximum Bending Stress Developed in Plate evaluator 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 evaluate 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 evaluate Thickness of Plate given Maximum Bending Stress Developed in Plate using this online evaluator? To use this online evaluator 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.

FAQs on Thickness of Plate given Maximum Bending Stress Developed in Plate

What is the formula to find Thickness of Plate given Maximum Bending Stress Developed in Plate?

The formula of Thickness of Plate given Maximum Bending Stress Developed in Plate is expressed as 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)). Here is an example- 12964.58 = sqrt((3*251000*0.006)/(2*8*0.112*15000000)).

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

With 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) we can find Thickness of Plate given Maximum Bending Stress Developed in Plate using the 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Thickness of Plate?

Here are the different ways to Calculate Thickness of Plate-

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))

Can the Thickness of Plate given Maximum Bending Stress Developed in Plate be negative?

No, the Thickness of Plate given Maximum Bending Stress Developed in Plate, measured in Length cannot be negative.

Which unit is used to measure Thickness of Plate given Maximum Bending Stress Developed in Plate?

Thickness of Plate given Maximum Bending Stress Developed in Plate is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Plate given Maximum Bending Stress Developed in Plate can be measured.

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Thickness of Plate given Maximum Bending Stress Developed in Plate Formula

​GoThickness of each Plate given Bending Moment on Single Plate Formula

​GoThickness of each Plate given Moment of Inertia of each Plate Formula

Thickness of Plate given Maximum Bending Stress Developed in Plate Example

Thickness of Plate given Maximum Bending Stress Developed in Plate Solution

Thickness of Plate given Maximum Bending Stress Developed in Plate Formula Elements

Other Formulas to find Thickness of Plate

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

FAQs on Thickness of Plate given Maximum Bending Stress Developed in Plate

Variable Name

GoThickness of each Plate given Bending Moment on Single Plate Formula

GoThickness of each Plate given Moment of Inertia of each Plate Formula