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Shear Stress on Flat Key Formula

GoShear Stress in given Force on Key Formula

GoShear Stress in Key given Torque Transmitted Formula

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The Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications. Check FAQs

𝜏 flat key = \frac{2 \cdot T}{b k \cdot d s \cdot l}

𝜏_{flat key} - Shear Stress?T - Torque Transmitted by Shaft?b_k - Width of Key?d_s - Diameter of Shaft using Key?l - Length of Key?

Shear Stress on Flat Key Example

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Here is how the Shear Stress on Flat Key equation looks like with Values.

Here is how the Shear Stress on Flat Key equation looks like with Units.

Here is how the Shear Stress on Flat Key equation looks like.

57.0286 = \frac{2 \cdot 224499.9946}{5 \cdot 44.99 \cdot 35}

57.0286N/mm² = \frac{2 \cdot 224499.9946N*mm}{5mm \cdot 44.99mm \cdot 35mm}

57.0286 = \frac{2 \cdot 224499.9946}{5 \cdot 44.99 \cdot 35}

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Shear Stress on Flat Key Solution

Follow our step by step solution on how to calculate Shear Stress on Flat Key?

FIRST Step Consider the formula

𝜏 flat key = \frac{2 \cdot T}{b k \cdot d s \cdot l}

Next Step Substitute values of Variables

∴

𝜏 flat key = \frac{2 \cdot 224499.9946N*mm}{5mm \cdot 44.99mm \cdot 35mm}

Next Step Convert Units

∴

𝜏 flat key = \frac{2 \cdot 224.5N*m}{0.005m \cdot 0.045m \cdot 0.035m}

Next Step Prepare to Evaluate

∴

𝜏 flat key = \frac{2 \cdot 224.5}{0.005 \cdot 0.045 \cdot 0.035}

Next Step Evaluate

∴

𝜏 flat key = 57028570.000952Pa

Next Step Convert to Output's Unit

∴

𝜏 flat key = 57.028570000952N/mm²

LAST Step Rounding Answer

∴

𝜏 flat key = 57.0286N/mm²

Shear Stress on Flat Key Formula Elements

Variables

Shear Stress

The Shear Stress is the force per unit area acting parallel to a material's surface, crucial for understanding material strength in mechanical design applications.

Symbol: 𝜏_{flat key}

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress

Torque Transmitted by Shaft

The Torque Transmitted by Shaft is the measure of rotational force that a shaft can transmit, crucial for ensuring efficient power transfer in mechanical systems.

Symbol: T

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque Transmitted by Shaft

Width of Key

The Width of Key is the measurement of the key's thickness, which ensures proper fit and function within a mechanical assembly, preventing slippage and ensuring torque transmission.

Symbol: b_k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of 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

Other Formulas to find Shear Stress

Go Shear Stress in given Force on Key

𝜏 flat key = \frac{F}{b k \cdot l}

Go Shear Stress in Key given Torque Transmitted

𝜏 flat key = 2 \cdot \frac{M t}{b k \cdot l \cdot d s}

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 Shaft Diameter given Force on Key

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

Go Width of Key given Shear Stress in Key

b k = \frac{F}{𝜏 flat key \cdot l}

How to Evaluate Shear Stress on Flat Key?

Shear Stress on Flat Key evaluator uses Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft using Key*Length of Key) to evaluate the Shear Stress, Shear Stress on Flat Key formula is defined as a measure of the internal resistance experienced by a flat key when subjected to torque. It helps in assessing the strength and durability of the key in mechanical applications, ensuring reliable performance in machine design. Shear Stress is denoted by 𝜏_{flat key} symbol.

How to evaluate Shear Stress on Flat Key using this online evaluator? To use this online evaluator for Shear Stress on Flat Key, enter Torque Transmitted by Shaft (T), Width of Key (b_k), Diameter of Shaft using Key (d_s) & Length of Key (l) and hit the calculate button.

FAQs on Shear Stress on Flat Key

What is the formula to find Shear Stress on Flat Key?

The formula of Shear Stress on Flat Key is expressed as Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft using Key*Length of Key). Here is an example- 6.4E-5 = (2*224.49999458)/(0.005*0.04498998*0.035).

How to calculate Shear Stress on Flat Key?

With Torque Transmitted by Shaft (T), Width of Key (b_k), Diameter of Shaft using Key (d_s) & Length of Key (l) we can find Shear Stress on Flat Key using the formula - Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft using Key*Length of Key).

What are the other ways to Calculate Shear Stress?

Here are the different ways to Calculate Shear Stress-

Shear Stress=Force on Key/(Width of Key*Length of Key)
Shear Stress=2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key)

Can the Shear Stress on Flat Key be negative?

No, the Shear Stress on Flat Key, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress on Flat Key?

Shear Stress on Flat Key is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Shear Stress on Flat Key can be measured.

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Shear Stress on Flat Key Formula

​GoShear Stress in given Force on Key Formula

​GoShear Stress in Key given Torque Transmitted Formula

Shear Stress on Flat Key Example

Shear Stress on Flat Key Solution

Shear Stress on Flat Key Formula Elements

Other Formulas to find Shear Stress

Other formulas in Design of Square and Flat Keys category

How to Evaluate Shear Stress on Flat Key?

FAQs on Shear Stress on Flat Key

Variable Name

GoShear Stress in given Force on Key Formula

GoShear Stress in Key given Torque Transmitted Formula