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Shaft Diameter given Force on Key Formula

GoShaft Diameter given Compressive Stress in Key Formula

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The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission. Check FAQs

d s = 2 \cdot \frac{M t}{F}

d_s - Diameter of Shaft using Key?M_t - Transmitted Torque by Keyed Shaft?F - Force on Key?

Shaft Diameter given Force on Key Example

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Here is how the Shaft Diameter given Force on Key equation looks like with Values.

Here is how the Shaft Diameter given Force on Key equation looks like with Units.

Here is how the Shaft Diameter given Force on Key equation looks like.

44.99 = 2 \cdot \frac{224500}{9980}

44.99mm = 2 \cdot \frac{224500N*mm}{9980N}

44.99 = 2 \cdot \frac{224500}{9980}

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Shaft Diameter given Force on Key Solution

Follow our step by step solution on how to calculate Shaft Diameter given Force on Key?

FIRST Step Consider the formula

d s = 2 \cdot \frac{M t}{F}

Next Step Substitute values of Variables

∴

d s = 2 \cdot \frac{224500N*mm}{9980N}

Next Step Convert Units

∴

d s = 2 \cdot \frac{224.5N*m}{9980N}

Next Step Prepare to Evaluate

∴

d s = 2 \cdot \frac{224.5}{9980}

Next Step Evaluate

∴

d s = 0.0449899799599198m

Next Step Convert to Output's Unit

∴

d s = 44.9899799599198mm

LAST Step Rounding Answer

∴

d s = 44.99mm

Shaft Diameter given Force on Key Formula Elements

Variables

Diameter of Shaft using Key

The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft using Key

Transmitted Torque by Keyed Shaft

The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Transmitted Torque by Keyed Shaft

Force on Key

The Force on Key is the load applied to a key in a mechanical assembly, crucial for ensuring proper engagement and transmission of torque between components.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on Key

Other Formulas to find Diameter of Shaft using Key

Go Shaft Diameter given Compressive Stress in Key

d s = 4 \cdot \frac{M t}{σ c \cdot l \cdot h}

Other formulas in Design of Square and Flat Keys category

Go Force on Key

F = 2 \cdot \frac{M t}{d s}

Go Torque Transmitted by Keyed Shaft given Force on Keys

M t = F \cdot \frac{d s}{2}

Go Shear Stress in given Force on Key

𝜏 flat key = \frac{F}{b k \cdot l}

Go Width of Key given Shear Stress in Key

b k = \frac{F}{𝜏 flat key \cdot l}

How to Evaluate Shaft Diameter given Force on Key?

Shaft Diameter given Force on Key evaluator uses Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key to evaluate the Diameter of Shaft using Key, Shaft Diameter given Force on Key formula is defined as a method to determine the appropriate diameter of a shaft based on the force applied to a key. This ensures the shaft can withstand the mechanical loads without failure, contributing to the overall reliability of the machine design. Diameter of Shaft using Key is denoted by d_s symbol.

How to evaluate Shaft Diameter given Force on Key using this online evaluator? To use this online evaluator for Shaft Diameter given Force on Key, enter Transmitted Torque by Keyed Shaft (M_t) & Force on Key (F) and hit the calculate button.

FAQs on Shaft Diameter given Force on Key

What is the formula to find Shaft Diameter given Force on Key?

The formula of Shaft Diameter given Force on Key is expressed as Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key. Here is an example- 44989.98 = 2*224.5/9980.

How to calculate Shaft Diameter given Force on Key?

With Transmitted Torque by Keyed Shaft (M_t) & Force on Key (F) we can find Shaft Diameter given Force on Key using the formula - Diameter of Shaft using Key = 2*Transmitted Torque by Keyed Shaft/Force on Key.

What are the other ways to Calculate Diameter of Shaft using Key?

Here are the different ways to Calculate Diameter of Shaft using Key-

Diameter of Shaft using Key=4*Transmitted Torque by Keyed Shaft/(Compressive Stress in Key*Length of Key*Height of Key)

Can the Shaft Diameter given Force on Key be negative?

No, the Shaft Diameter given Force on Key, measured in Length cannot be negative.

Which unit is used to measure Shaft Diameter given Force on Key?

Shaft Diameter given Force on Key is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Shaft Diameter given Force on Key can be measured.

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Shaft Diameter given Force on Key Formula

​GoShaft Diameter given Compressive Stress in Key Formula

Shaft Diameter given Force on Key Example

Shaft Diameter given Force on Key Solution

Shaft Diameter given Force on Key Formula Elements

Other Formulas to find Diameter of Shaft using Key

Other formulas in Design of Square and Flat Keys category

How to Evaluate Shaft Diameter given Force on Key?

FAQs on Shaft Diameter given Force on Key

Variable Name

GoShaft Diameter given Compressive Stress in Key Formula