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Shaft Diameter given allowable Static Thrust Load on Groove Formula

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The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft. Check FAQs

D = \frac{F tg \cdot f s \cdot Φ}{C \cdot D g \cdot π \cdot σ sy}

D - Shaft Diameter?F_tg - Allowable Static Thrust Load on Groove Wall?f_s - Factor of Safety?Φ - Reduction Factor?C - Conversion Factor?D_g - Depth of Groove?σ_sy - Tensile Yield Strength of Groove Material?π - Archimedes' constant?

Shaft Diameter given allowable Static Thrust Load on Groove Example

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Here is how the Shaft Diameter given allowable Static Thrust Load on Groove equation looks like with Values.

Here is how the Shaft Diameter given allowable Static Thrust Load on Groove equation looks like with Units.

Here is how the Shaft Diameter given allowable Static Thrust Load on Groove equation looks like.

3.6248 = \frac{18 \cdot 2.8 \cdot 0.85}{0.11 \cdot 3.8 \cdot 3.1416 \cdot 9}

3.6248m = \frac{18N \cdot 2.8 \cdot 0.85}{0.11 \cdot 3.8m \cdot 3.1416 \cdot 9Pa}

3.6248 = \frac{18 \cdot 2.8 \cdot 0.85}{0.11 \cdot 3.8 \cdot 3.1416 \cdot 9}

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Shaft Diameter given allowable Static Thrust Load on Groove Solution

Follow our step by step solution on how to calculate Shaft Diameter given allowable Static Thrust Load on Groove?

FIRST Step Consider the formula

D = \frac{F tg \cdot f s \cdot Φ}{C \cdot D g \cdot π \cdot σ sy}

Next Step Substitute values of Variables

∴

D = \frac{18N \cdot 2.8 \cdot 0.85}{0.11 \cdot 3.8m \cdot π \cdot 9Pa}

Next Step Substitute values of Constants

∴

D = \frac{18N \cdot 2.8 \cdot 0.85}{0.11 \cdot 3.8m \cdot 3.1416 \cdot 9Pa}

Next Step Prepare to Evaluate

∴

D = \frac{18 \cdot 2.8 \cdot 0.85}{0.11 \cdot 3.8 \cdot 3.1416 \cdot 9}

Next Step Evaluate

∴

D = 3.62477286659053m

LAST Step Rounding Answer

∴

D = 3.6248m

Shaft Diameter given allowable Static Thrust Load on Groove Formula Elements

Variables

Constants

Shaft Diameter

The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Shaft Diameter

Allowable Static Thrust Load on Groove Wall

Allowable static thrust load on groove wall is the amount of measured force directed at and from a turning mechanism.

Symbol: F_tg

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Allowable Static Thrust Load on Groove Wall

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Reduction Factor

Reduction Factor is constant term used as factor for load calculation.

Symbol: Φ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduction Factor

Conversion Factor

Conversion factor is to account for change from metric units used in development of the formula.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Conversion Factor

Depth of Groove

Depth of groove is the perpendicular distance from a real or calculated reference plane defined by edges of two adjacent ribs to the lowest point in the groove.

Symbol: D_g

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Groove

Tensile Yield Strength of Groove Material

Tensile yield strength of groove material is the stress that causes a material to lose its elastic behavior.

Symbol: σ_sy

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Tensile Yield Strength of Groove Material

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Load Capacities of Groove category

Go Allowable Static Thrust Load on Groove

F tg = \frac{C \cdot D \cdot D g \cdot π \cdot σ sy}{f s \cdot Φ}

Go Tensile Yield Strength of Groove Material given allowable Static Thrust Load on Groove

σ sy = \frac{f s \cdot Φ \cdot F tg}{C \cdot D \cdot π \cdot D g}

How to Evaluate Shaft Diameter given allowable Static Thrust Load on Groove?

Shaft Diameter given allowable Static Thrust Load on Groove evaluator uses Shaft Diameter = (Allowable Static Thrust Load on Groove Wall*Factor of Safety*Reduction Factor)/(Conversion Factor*Depth of Groove*pi*Tensile Yield Strength of Groove Material) to evaluate the Shaft Diameter, The Shaft Diameter given allowable Static Thrust Load on Groove formula is defined as diameter of the rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another, or from a machine that produces power to a machine that absorbs power. Shaft Diameter is denoted by D symbol.

How to evaluate Shaft Diameter given allowable Static Thrust Load on Groove using this online evaluator? To use this online evaluator for Shaft Diameter given allowable Static Thrust Load on Groove, enter Allowable Static Thrust Load on Groove Wall (F_tg), Factor of Safety (f_s), Reduction Factor (Φ), Conversion Factor (C), Depth of Groove (D_g) & Tensile Yield Strength of Groove Material (σ_sy) and hit the calculate button.

FAQs on Shaft Diameter given allowable Static Thrust Load on Groove

What is the formula to find Shaft Diameter given allowable Static Thrust Load on Groove?

The formula of Shaft Diameter given allowable Static Thrust Load on Groove is expressed as Shaft Diameter = (Allowable Static Thrust Load on Groove Wall*Factor of Safety*Reduction Factor)/(Conversion Factor*Depth of Groove*pi*Tensile Yield Strength of Groove Material). Here is an example- 0.268321 = (18*2.8*0.85)/(0.11*3.8*pi*9).

How to calculate Shaft Diameter given allowable Static Thrust Load on Groove?

With Allowable Static Thrust Load on Groove Wall (F_tg), Factor of Safety (f_s), Reduction Factor (Φ), Conversion Factor (C), Depth of Groove (D_g) & Tensile Yield Strength of Groove Material (σ_sy) we can find Shaft Diameter given allowable Static Thrust Load on Groove using the formula - Shaft Diameter = (Allowable Static Thrust Load on Groove Wall*Factor of Safety*Reduction Factor)/(Conversion Factor*Depth of Groove*pi*Tensile Yield Strength of Groove Material). This formula also uses Archimedes' constant .

Can the Shaft Diameter given allowable Static Thrust Load on Groove be negative?

No, the Shaft Diameter given allowable Static Thrust Load on Groove, measured in Length cannot be negative.

Which unit is used to measure Shaft Diameter given allowable Static Thrust Load on Groove?

Shaft Diameter given allowable Static Thrust Load on Groove is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Shaft Diameter given allowable Static Thrust Load on Groove can be measured.

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Shaft Diameter given allowable Static Thrust Load on Groove Formula

Shaft Diameter given allowable Static Thrust Load on Groove Example

Shaft Diameter given allowable Static Thrust Load on Groove Solution

Shaft Diameter given allowable Static Thrust Load on Groove Formula Elements

Other formulas in Load Capacities of Groove category

How to Evaluate Shaft Diameter given allowable Static Thrust Load on Groove?

FAQs on Shaft Diameter given allowable Static Thrust Load on Groove

Variable Name