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Static Deflection of Shaft Formula

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Static Deflection of Shaft is the extension or compression of the constraint. Check FAQs

δ = \frac{m \cdot g}{S s}

δ - Static Deflection of Shaft?m - Mass of Rotor?g - Acceleration Due to Gravity?S_s - Stiffness of Shaft?

Static Deflection of Shaft Example

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Here is how the Static Deflection of Shaft equation looks like with Values.

Here is how the Static Deflection of Shaft equation looks like with Units.

Here is how the Static Deflection of Shaft equation looks like.

2.1304 = \frac{0.0005 \cdot 9.8}{2.3}

2.1304mm = \frac{0.0005kg \cdot 9.8m/s²}{2.3N/m}

2.1304 = \frac{0.0005 \cdot 9.8}{2.3}

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Static Deflection of Shaft Solution

Follow our step by step solution on how to calculate Static Deflection of Shaft?

FIRST Step Consider the formula

δ = \frac{m \cdot g}{S s}

Next Step Substitute values of Variables

∴

δ = \frac{0.0005kg \cdot 9.8m/s²}{2.3N/m}

Next Step Prepare to Evaluate

∴

δ = \frac{0.0005 \cdot 9.8}{2.3}

Next Step Evaluate

∴

δ = 0.0021304347826087m

Next Step Convert to Output's Unit

∴

δ = 2.1304347826087mm

LAST Step Rounding Answer

∴

δ = 2.1304mm

Static Deflection of Shaft Formula Elements

Variables

Static Deflection of Shaft

Static Deflection of Shaft is the extension or compression of the constraint.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Static Deflection of Shaft

Mass of Rotor

Mass of Rotor is both a property of a physical body and a measure of its resistance to acceleration.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Rotor

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

Stiffness of Shaft

Stiffness of Shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit.

Symbol: S_s

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Shaft

Other formulas in Critical or Whirling Speed of Shaft category

Go Critical or Whirling Speed in R.P.S

ω c = \frac{0.4985}{\sqrt{δ}}

Go Critical or Whirling Speed given Static Deflection

ω c = \sqrt{\frac{g}{δ}}

Go Critical or Whirling Speed given Stiffness of Shaft

ω c = \sqrt{\frac{S s}{m}}

Go Additional Deflection of Centre of Gravity of Rotor using Whirling Speed

y = \frac{e}{{(\frac{ω}{ω c})}^{2} - 1}

How to Evaluate Static Deflection of Shaft?

Static Deflection of Shaft evaluator uses Static Deflection of Shaft = (Mass of Rotor*Acceleration Due to Gravity)/Stiffness of Shaft to evaluate the Static Deflection of Shaft, Static Deflection of Shaft formula is defined as a measure of the maximum displacement of a shaft from its original position when a load is applied, providing critical information about the shaft's stability and whirling speed. Static Deflection of Shaft is denoted by δ symbol.

How to evaluate Static Deflection of Shaft using this online evaluator? To use this online evaluator for Static Deflection of Shaft, enter Mass of Rotor (m), Acceleration Due to Gravity (g) & Stiffness of Shaft (S_s) and hit the calculate button.

FAQs on Static Deflection of Shaft

What is the formula to find Static Deflection of Shaft?

The formula of Static Deflection of Shaft is expressed as Static Deflection of Shaft = (Mass of Rotor*Acceleration Due to Gravity)/Stiffness of Shaft. Here is an example- 2130.435 = (0.0005*9.8)/2.3.

How to calculate Static Deflection of Shaft?

With Mass of Rotor (m), Acceleration Due to Gravity (g) & Stiffness of Shaft (S_s) we can find Static Deflection of Shaft using the formula - Static Deflection of Shaft = (Mass of Rotor*Acceleration Due to Gravity)/Stiffness of Shaft.

Can the Static Deflection of Shaft be negative?

No, the Static Deflection of Shaft, measured in Length cannot be negative.

Which unit is used to measure Static Deflection of Shaft?

Static Deflection of Shaft is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Static Deflection of Shaft can be measured.

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Static Deflection of Shaft Formula

Static Deflection of Shaft Example

Static Deflection of Shaft Solution

Static Deflection of Shaft Formula Elements

Other formulas in Critical or Whirling Speed of Shaft category

How to Evaluate Static Deflection of Shaft?

FAQs on Static Deflection of Shaft

Variable Name