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Shear Stress on Flat Key Formula

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Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. 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?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.

7.619 = \frac{2 \cdot 800}{5 \cdot 1200 \cdot 35}

7.619N/mm² = \frac{2 \cdot 800N*m}{5mm \cdot 1200mm \cdot 35mm}

7.619 = \frac{2 \cdot 800}{5 \cdot 1200 \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 800N*m}{5mm \cdot 1200mm \cdot 35mm}

Next Step Convert Units

∴

𝜏 flat key = \frac{2 \cdot 800N*m}{0.005m \cdot 1.2m \cdot 0.035m}

Next Step Prepare to Evaluate

∴

𝜏 flat key = \frac{2 \cdot 800}{0.005 \cdot 1.2 \cdot 0.035}

Next Step Evaluate

∴

𝜏 flat key = 7619047.61904762Pa

Next Step Convert to Output's Unit

∴

𝜏 flat key = 7.61904761904762N/mm²

LAST Step Rounding Answer

∴

𝜏 flat key = 7.619N/mm²

Shear Stress on Flat Key Formula Elements

Variables

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏_{flat key}

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress

Torque Transmitted by Shaft

Torque Transmitted by Shaft between the two ends of it.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Transmitted by Shaft

Width of Key

Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.

Symbol: b_k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Key

Diameter of Shaft

The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft

Length of Key

The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Key

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 Shear Stress in given Force on Key

𝜏 = \frac{F}{b k \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*Length of Key) to evaluate the Shear Stress, Shear stress on flat key is the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. As for the key, it is one of the criteria for testing for failure. 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 (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*Length of Key). Here is an example- 7.6E-6 = (2*800)/(0.005*1.2*0.035).

How to calculate Shear Stress on Flat Key?

With Torque Transmitted by Shaft (T), Width of Key (b_k), Diameter of Shaft (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*Length of 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

Shear Stress on Flat Key Example

Shear Stress on Flat Key Solution

Shear Stress on Flat Key Formula Elements

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