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Shear Stress in given Force on Key Formula

GoShear Stress in Key given Torque Transmitted Formula

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Shear Stress in Key is the force per unit area tending to cause deformation of the key by slippage along a plane or planes parallel to the imposed stress. Check FAQs

𝜏 = \frac{F}{b k \cdot l}

𝜏 - Shear Stress in Key?F - Force on Key?b_k - Width of Key?l - Length of Key?

Shear Stress in given Force on Key Example

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Here is how the Shear Stress in given Force on Key equation looks like with Values.

Here is how the Shear Stress in given Force on Key equation looks like with Units.

Here is how the Shear Stress in given Force on Key equation looks like.

57.0286 = \frac{9980}{5 \cdot 35}

57.0286N/mm² = \frac{9980N}{5mm \cdot 35mm}

57.0286 = \frac{9980}{5 \cdot 35}

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Shear Stress in given Force on Key Solution

Follow our step by step solution on how to calculate Shear Stress in given Force on Key?

FIRST Step Consider the formula

𝜏 = \frac{F}{b k \cdot l}

Next Step Substitute values of Variables

∴

𝜏 = \frac{9980N}{5mm \cdot 35mm}

Next Step Convert Units

∴

𝜏 = \frac{9980N}{0.005m \cdot 0.035m}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{9980}{0.005 \cdot 0.035}

Next Step Evaluate

∴

𝜏 = 57028571.4285714Pa

Next Step Convert to Output's Unit

∴

𝜏 = 57.0285714285714N/mm²

LAST Step Rounding Answer

∴

𝜏 = 57.0286N/mm²

Shear Stress in given Force on Key Formula Elements

Variables

Shear Stress in Key

Shear Stress in Key is the force per unit area tending to cause deformation of the key by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Key

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

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

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 to find Shear Stress in Key

Go Shear Stress in Key given Torque Transmitted

𝜏 = 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 \cdot l}

How to Evaluate Shear Stress in given Force on Key?

Shear Stress in given Force on Key evaluator uses Shear Stress = Force on Key/(Width of Key*Length of Key) to evaluate the Shear Stress in Key, Shear Stress in given Force on Key formula is defined as a measure of the internal resistance of a key to sliding or shearing under an applied force. It is crucial in assessing the strength and reliability of mechanical connections in machine design. Shear Stress in Key is denoted by 𝜏 symbol.

How to evaluate Shear Stress in given Force on Key using this online evaluator? To use this online evaluator for Shear Stress in given Force on Key, enter Force on Key (F), Width of Key (b_k) & Length of Key (l) and hit the calculate button.

FAQs on Shear Stress in given Force on Key

What is the formula to find Shear Stress in given Force on Key?

The formula of Shear Stress in given Force on Key is expressed as Shear Stress = Force on Key/(Width of Key*Length of Key). Here is an example- 6.4E-5 = 9980/(0.005*0.035).

How to calculate Shear Stress in given Force on Key?

With Force on Key (F), Width of Key (b_k) & Length of Key (l) we can find Shear Stress in given Force on Key using the formula - Shear Stress = Force on Key/(Width of Key*Length of Key).

What are the other ways to Calculate Shear Stress in Key?

Here are the different ways to Calculate Shear Stress in Key-

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

Can the Shear Stress in given Force on Key be negative?

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

Which unit is used to measure Shear Stress in given Force on Key?

Shear Stress in given Force on 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 in given Force on Key can be measured.

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Shear Stress in given Force on Key Formula

​GoShear Stress in Key given Torque Transmitted Formula

Shear Stress in given Force on Key Example

Shear Stress in given Force on Key Solution

Shear Stress in given Force on Key Formula Elements

Other Formulas to find Shear Stress in Key

Other formulas in Design of Square and Flat Keys category

How to Evaluate Shear Stress in given Force on Key?

FAQs on Shear Stress in given Force on Key

Variable Name

GoShear Stress in Key given Torque Transmitted Formula