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Span of Spring given Maximum Bending Stress Developed in Plates Formula

GoSpan of Spring given Maximum Bending Stress Formula

GoSpan of Spring given Bending Moment at Center of Leaf Spring Formula

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Span of spring is basically the expanded length of spring. Check FAQs

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

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

Span of Spring given Maximum Bending Stress Developed in Plates Example

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

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

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

0.0514 = \frac{2 \cdot 8 \cdot 112 \cdot {1.2}^{2} \cdot 15}{3 \cdot 251}

0.0514mm = \frac{2 \cdot 8 \cdot 112mm \cdot {1.2mm}^{2} \cdot 15MPa}{3 \cdot 251kN}

0.0514 = \frac{2 \cdot 8 \cdot 112 \cdot {1.2}^{2} \cdot 15}{3 \cdot 251}

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Span of Spring given Maximum Bending Stress Developed in Plates Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = \frac{2 \cdot 8 \cdot 112mm \cdot {1.2mm}^{2} \cdot 15MPa}{3 \cdot 251kN}

Next Step Convert Units

∴

l = \frac{2 \cdot 8 \cdot 0.112m \cdot {0.0012m}^{2} \cdot 1.5E+7Pa}{3 \cdot 251000N}

Next Step Prepare to Evaluate

∴

l = \frac{2 \cdot 8 \cdot 0.112 \cdot {0.0012}^{2} \cdot 1.5E+7}{3 \cdot 251000}

Next Step Evaluate

∴

l = 5.1403984063745E-05m

Next Step Convert to Output's Unit

∴

l = 0.051403984063745mm

LAST Step Rounding Answer

∴

l = 0.0514mm

Span of Spring given Maximum Bending Stress Developed in Plates Formula Elements

Variables

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

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

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

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

Other Formulas to find Span of Spring

Go Span of Spring given Maximum Bending Stress

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

Go Span of Spring given Bending Moment at Center of Leaf Spring

l = \frac{2 \cdot M b}{L}

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

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

Go Span of Spring given Central Deflection of Leaf Spring

l = \sqrt{8 \cdot R \cdot δ}

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

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

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

FAQs on Span of Spring given Maximum Bending Stress Developed in Plates

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

The formula of Span of Spring given Maximum Bending Stress Developed in Plates is expressed as Span of Spring = (2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2*Maximum Bending Stress in Plates)/(3*Point Load at Center of Spring). Here is an example- 437.2908 = (2*8*0.112*0.0012^2*15000000)/(3*251000).

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

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

What are the other ways to Calculate Span of Spring?

Here are the different ways to Calculate Span of Spring-

Span of Spring=sqrt((4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Maximum Bending Stress in Plates))
Span of Spring=(2*Bending Moment in Spring)/Load at One End
Span of Spring=(4*Bending Moment in Spring)/(Point Load at Center of Spring)

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

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

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

Span of Spring 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 Span of Spring given Maximum Bending Stress Developed in Plates can be measured.

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Span of Spring given Maximum Bending Stress Developed in Plates Formula

​GoSpan of Spring given Maximum Bending Stress Formula

​GoSpan of Spring given Bending Moment at Center of Leaf Spring Formula

Span of Spring given Maximum Bending Stress Developed in Plates Example

Span of Spring given Maximum Bending Stress Developed in Plates Solution

Span of Spring given Maximum Bending Stress Developed in Plates Formula Elements

Other Formulas to find Span of Spring

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

FAQs on Span of Spring given Maximum Bending Stress Developed in Plates

Variable Name

GoSpan of Spring given Maximum Bending Stress Formula

GoSpan of Spring given Bending Moment at Center of Leaf Spring Formula