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Width of Plates given Maximum Bending Stress Developed in Plates Formula

GoWidth of each Plate given Total Resisting Moment by n Plates Formula

GoWidth of each Plate given Bending Moment on Single Plate Formula

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

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

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

Width of Plates given Maximum Bending Stress Developed in Plates Example

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

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

Here is how the Width of Plates given Maximum Bending Stress Developed in Plates equation looks like.

13072.9167 = \frac{3 \cdot 251 \cdot 6}{2 \cdot 8 \cdot 15 \cdot {1.2}^{2}}

13072.9167mm = \frac{3 \cdot 251kN \cdot 6mm}{2 \cdot 8 \cdot 15MPa \cdot {1.2mm}^{2}}

13072.9167 = \frac{3 \cdot 251 \cdot 6}{2 \cdot 8 \cdot 15 \cdot {1.2}^{2}}

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Width of Plates given Maximum Bending Stress Developed in Plates Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \frac{3 \cdot 251kN \cdot 6mm}{2 \cdot 8 \cdot 15MPa \cdot {1.2mm}^{2}}

Next Step Convert Units

∴

B = \frac{3 \cdot 251000N \cdot 0.006m}{2 \cdot 8 \cdot 1.5E+7Pa \cdot {0.0012m}^{2}}

Next Step Prepare to Evaluate

∴

B = \frac{3 \cdot 251000 \cdot 0.006}{2 \cdot 8 \cdot 1.5E+7 \cdot {0.0012}^{2}}

Next Step Evaluate

∴

B = 13.0729166666667m

Next Step Convert to Output's Unit

∴

B = 13072.9166666667mm

LAST Step Rounding Answer

∴

B = 13072.9167mm

Width of Plates given Maximum Bending Stress Developed in Plates Formula Elements

Variables

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

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

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

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

Other Formulas to find Width of Full Size Bearing Plate

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

B = \frac{6 \cdot M b}{σ \cdot n \cdot {t p}^{2}}

Go Width of each Plate given Bending Moment on Single Plate

B = \frac{6 \cdot M b}{σ \cdot {t p}^{2}}

Go Width of each Plate given Moment of Inertia of each Plate

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

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

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

FAQs on Width of Plates given Maximum Bending Stress Developed in Plates

What is the formula to find Width of Plates given Maximum Bending Stress Developed in Plates?

The formula of Width of Plates given Maximum Bending Stress Developed in Plates is expressed as 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). Here is an example- 1.5E+6 = (3*251000*0.006)/(2*8*15000000*0.0012^2).

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

With 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) we can find Width of Plates given Maximum Bending Stress Developed in Plates using the 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).

What are the other ways to Calculate Width of Full Size Bearing Plate?

Here are the different ways to Calculate Width of Full Size Bearing Plate-

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)

Can the Width of Plates given Maximum Bending Stress Developed in Plates be negative?

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

Which unit is used to measure Width of Plates given Maximum Bending Stress Developed in Plates?

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

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Width of Plates given Maximum Bending Stress Developed in Plates Formula

​GoWidth of each Plate given Total Resisting Moment by n Plates Formula

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

Width of Plates given Maximum Bending Stress Developed in Plates Example

Width of Plates given Maximum Bending Stress Developed in Plates Solution

Width of Plates given Maximum Bending Stress Developed in Plates Formula Elements

Other Formulas to find Width of Full Size Bearing Plate

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

FAQs on Width of Plates given Maximum Bending Stress Developed in Plates

Variable Name

GoWidth of each Plate given Total Resisting Moment by n Plates Formula

GoWidth of each Plate given Bending Moment on Single Plate Formula