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Number of Plates given Maximum Bending Stress Developed in Plates Formula

GoNumber of Plates in Leaf Spring given Total Resisting Moment by n Plates Formula

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

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

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

Number of Plates given Maximum Bending Stress Developed in Plates Example

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

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

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

933.7798 = \frac{3 \cdot 251 \cdot 6}{2 \cdot 15 \cdot 112 \cdot {1.2}^{2}}

933.7798 = \frac{3 \cdot 251kN \cdot 6mm}{2 \cdot 15MPa \cdot 112mm \cdot {1.2mm}^{2}}

933.7798 = \frac{3 \cdot 251 \cdot 6}{2 \cdot 15 \cdot 112 \cdot {1.2}^{2}}

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Number of Plates given Maximum Bending Stress Developed in Plates Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n = \frac{3 \cdot 251kN \cdot 6mm}{2 \cdot 15MPa \cdot 112mm \cdot {1.2mm}^{2}}

Next Step Convert Units

∴

n = \frac{3 \cdot 251000N \cdot 0.006m}{2 \cdot 1.5E+7Pa \cdot 0.112m \cdot {0.0012m}^{2}}

Next Step Prepare to Evaluate

∴

n = \frac{3 \cdot 251000 \cdot 0.006}{2 \cdot 1.5E+7 \cdot 0.112 \cdot {0.0012}^{2}}

Next Step Evaluate

∴

n = 933.779761904762

LAST Step Rounding Answer

∴

n = 933.7798

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

Variables

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

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

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

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

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 Number of Plates

Go Number of Plates in Leaf Spring given Total Resisting Moment by n Plates

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

Other formulas in Stress and Strain category

Go Total Resisting Moment by n Plates given Bending Moment on each Plate

M t = n \cdot M b

Go Total Resisting Moment by n Plates

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

Go Moment of Inertia of each Leaf Spring Plate

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

Go Point Load at Center of Spring Load given Bending Moment at Center of Leaf Spring

w = \frac{4 \cdot M b}{l}

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

Number of Plates given Maximum Bending Stress Developed in Plates evaluator uses Number of Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2) to evaluate the Number of Plates, The Number of plates given maximum bending stress developed in plates formula is defined as the count of plates on leaf spring. Number of Plates is denoted by n symbol.

How to evaluate Number of Plates given Maximum Bending Stress Developed in Plates using this online evaluator? To use this online evaluator for Number of Plates given Maximum Bending Stress Developed in Plates, enter Point Load at Center of Spring (w), Span of Spring (l), Maximum Bending Stress in Plates (σ), Width of Full Size Bearing Plate (B) & Thickness of Plate (t_p) and hit the calculate button.

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

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

The formula of Number of Plates given Maximum Bending Stress Developed in Plates is expressed as Number of Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2). Here is an example- 109.7668 = (3*251000*0.006)/(2*15000000*0.112*0.0012^2).

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

With Point Load at Center of Spring (w), Span of Spring (l), Maximum Bending Stress in Plates (σ), Width of Full Size Bearing Plate (B) & Thickness of Plate (t_p) we can find Number of Plates given Maximum Bending Stress Developed in Plates using the formula - Number of Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2).

What are the other ways to Calculate Number of Plates?

Here are the different ways to Calculate Number of Plates-

Number of Plates=(6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)

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Number of Plates given Maximum Bending Stress Developed in Plates Formula

​GoNumber of Plates in Leaf Spring given Total Resisting Moment by n Plates Formula

Number of Plates given Maximum Bending Stress Developed in Plates Example

Number of Plates given Maximum Bending Stress Developed in Plates Solution

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

Other Formulas to find Number of Plates

Other formulas in Stress and Strain category

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

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

Variable Name

GoNumber of Plates in Leaf Spring given Total Resisting Moment by n Plates Formula