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Torque Transmitted by Keyed Shaft given Stress in Key Formula

GoTorque Transmitted by Keyed Shaft given Force on Keys Formula

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

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

M_t - Transmitted Torque by Keyed Shaft?σ_c - Compressive Stress in Key?d_s - Diameter of Shaft using Key?l - Length of Key?h - Height of Key?

Torque Transmitted by Keyed Shaft given Stress in Key Example

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Here is how the Torque Transmitted by Keyed Shaft given Stress in Key equation looks like with Values.

Here is how the Torque Transmitted by Keyed Shaft given Stress in Key equation looks like with Units.

Here is how the Torque Transmitted by Keyed Shaft given Stress in Key equation looks like.

226749.4992 = 128 \cdot 44.99 \cdot 35 \cdot \frac{4.5}{4}

226749.4992N*mm = 128N/mm² \cdot 44.99mm \cdot 35mm \cdot \frac{4.5mm}{4}

226749.4992 = 128 \cdot 44.99 \cdot 35 \cdot \frac{4.5}{4}

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Torque Transmitted by Keyed Shaft given Stress in Key Solution

Follow our step by step solution on how to calculate Torque Transmitted by Keyed Shaft given Stress in Key?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M t = 128N/mm² \cdot 44.99mm \cdot 35mm \cdot \frac{4.5mm}{4}

Next Step Convert Units

∴

M t = 1.3E+8Pa \cdot 0.045m \cdot 0.035m \cdot \frac{0.0045m}{4}

Next Step Prepare to Evaluate

∴

M t = 1.3E+8 \cdot 0.045 \cdot 0.035 \cdot \frac{0.0045}{4}

Next Step Evaluate

∴

M t = 226.7494992N*m

LAST Step Convert to Output's Unit

∴

M t = 226749.4992N*mm

Torque Transmitted by Keyed Shaft given Stress in Key Formula Elements

Variables

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

Compressive Stress in Key

The Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies.

Symbol: σ_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Compressive Stress in Key

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

Length of Key

The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Key

Height of Key

The Height of Key is the vertical measurement of a key used in mechanical design, ensuring proper fit and alignment within a machine component.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Key

Other Formulas to find Transmitted Torque by Keyed Shaft

Go Torque Transmitted by Keyed Shaft given Force on Keys

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

Other formulas in Design of Square and Flat Keys category

Go Force on Key

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

Go Shaft Diameter given Force on Key

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

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 Torque Transmitted by Keyed Shaft given Stress in Key?

Torque Transmitted by Keyed Shaft given Stress in Key evaluator uses Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4 to evaluate the Transmitted Torque by Keyed Shaft, Torque Transmitted by Keyed Shaft given Stress in Key formula is defined as a method to evaluate the torque capacity of a keyed shaft based on the stress in the key. It helps in ensuring the design's reliability and performance in mechanical applications. Transmitted Torque by Keyed Shaft is denoted by M_t symbol.

How to evaluate Torque Transmitted by Keyed Shaft given Stress in Key using this online evaluator? To use this online evaluator for Torque Transmitted by Keyed Shaft given Stress in Key, enter Compressive Stress in Key (σ_c), Diameter of Shaft using Key (d_s), Length of Key (l) & Height of Key (h) and hit the calculate button.

FAQs on Torque Transmitted by Keyed Shaft given Stress in Key

What is the formula to find Torque Transmitted by Keyed Shaft given Stress in Key?

The formula of Torque Transmitted by Keyed Shaft given Stress in Key is expressed as Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4. Here is an example- 2.2E+8 = 128000000*0.04498998*0.035*0.0045/4.

How to calculate Torque Transmitted by Keyed Shaft given Stress in Key?

With Compressive Stress in Key (σ_c), Diameter of Shaft using Key (d_s), Length of Key (l) & Height of Key (h) we can find Torque Transmitted by Keyed Shaft given Stress in Key using the formula - Transmitted Torque by Keyed Shaft = Compressive Stress in Key*Diameter of Shaft using Key*Length of Key*Height of Key/4.

What are the other ways to Calculate Transmitted Torque by Keyed Shaft?

Here are the different ways to Calculate Transmitted Torque by Keyed Shaft-

Transmitted Torque by Keyed Shaft=Force on Key*Diameter of Shaft using Key/2

Can the Torque Transmitted by Keyed Shaft given Stress in Key be negative?

No, the Torque Transmitted by Keyed Shaft given Stress in Key, measured in Torque cannot be negative.

Which unit is used to measure Torque Transmitted by Keyed Shaft given Stress in Key?

Torque Transmitted by Keyed Shaft given Stress in Key is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torque Transmitted by Keyed Shaft given Stress in Key can be measured.

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Torque Transmitted by Keyed Shaft given Stress in Key Formula

​GoTorque Transmitted by Keyed Shaft given Force on Keys Formula

Torque Transmitted by Keyed Shaft given Stress in Key Example

Torque Transmitted by Keyed Shaft given Stress in Key Solution

Torque Transmitted by Keyed Shaft given Stress in Key Formula Elements

Other Formulas to find Transmitted Torque by Keyed Shaft

Other formulas in Design of Square and Flat Keys category

How to Evaluate Torque Transmitted by Keyed Shaft given Stress in Key?

FAQs on Torque Transmitted by Keyed Shaft given Stress in Key

Variable Name

GoTorque Transmitted by Keyed Shaft given Force on Keys Formula