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Force on Key Formula

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Force on Key is the reaction onto the key of a machined assembly. Check FAQs

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

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

Force on Key Example

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

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

Here is how the Force on Key equation looks like.

9977.7778 = 2 \cdot \frac{224500}{45}

9977.7778N = 2 \cdot \frac{224500N*mm}{45mm}

9977.7778 = 2 \cdot \frac{224500}{45}

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Force on Key Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F = 2 \cdot \frac{224500N*mm}{45mm}

Next Step Convert Units

∴

F = 2 \cdot \frac{224.5N*m}{0.045m}

Next Step Prepare to Evaluate

∴

F = 2 \cdot \frac{224.5}{0.045}

Next Step Evaluate

∴

F = 9977.77777777778N

LAST Step Rounding Answer

∴

F = 9977.7778N

Force on Key Formula Elements

Variables

Force on Key

Force on Key is the reaction onto the key of a machined assembly.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on Key

Transmitted Torque by Keyed Shaft

Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Transmitted Torque by Keyed Shaft

Diameter of Shaft using Key

Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft using Key

Other formulas in Design of Square and Flat Keys category

Go Torque Transmitted by Keyed Shaft given Force on Keys

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

Go Shaft Diameter given Force on Key

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

Go Shear Stress in given Force on Key

𝜏 = \frac{F}{b k \cdot l}

Go Width of Key given Shear Stress in Key

b k = \frac{F}{𝜏 \cdot l}

How to Evaluate Force on Key?

Force on Key evaluator uses Force on Key = 2*Transmitted Torque by Keyed Shaft/Diameter of Shaft using Key to evaluate the Force on Key, Force on Key formula is defined as a measure of the force exerted on a key in mechanical systems, which is crucial for ensuring the proper functioning and stability of machine components. This formula helps in the design and analysis of key connections in machinery. Force on Key is denoted by F symbol.

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

FAQs on Force on Key

What is the formula to find Force on Key?

The formula of Force on Key is expressed as Force on Key = 2*Transmitted Torque by Keyed Shaft/Diameter of Shaft using Key. Here is an example- 10080 = 2*224.5/0.04498998.

How to calculate Force on Key?

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

Can the Force on Key be negative?

No, the Force on Key, measured in Force cannot be negative.

Which unit is used to measure Force on Key?

Force on Key is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force on Key can be measured.

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Force on Key Formula

Force on Key Example

Force on Key Solution

Force on Key Formula Elements

Other formulas in Design of Square and Flat Keys category

How to Evaluate Force on Key?

FAQs on Force on Key

Variable Name