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Shear Stress in Key given Torque Transmitted Formula

GoShear Stress in given Force on Key Formula

GoShear Stress on Flat Key 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 = 2 \cdot \frac{M t}{b k \cdot l \cdot d s}

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

Shear Stress in Key given Torque Transmitted Example

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

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

Here is how the Shear Stress in Key given Torque Transmitted equation looks like.

57.0286 = 2 \cdot \frac{224500}{5 \cdot 35 \cdot 44.99}

57.0286N/mm² = 2 \cdot \frac{224500N*mm}{5mm \cdot 35mm \cdot 44.99mm}

57.0286 = 2 \cdot \frac{224500}{5 \cdot 35 \cdot 44.99}

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Shear Stress in Key given Torque Transmitted Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 flat key = 2 \cdot \frac{224500N*mm}{5mm \cdot 35mm \cdot 44.99mm}

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

𝜏 flat key = 57028571.3777665Pa

Next Step Convert to Output's Unit

∴

𝜏 flat key = 57.0285713777665N/mm²

LAST Step Rounding Answer

∴

𝜏 flat key = 57.0286N/mm²

Shear Stress in Key given Torque Transmitted 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

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

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

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

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

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 on Flat Key

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

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 in Key given Torque Transmitted?

Shear Stress in Key given Torque Transmitted evaluator uses Shear Stress = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key) to evaluate the Shear Stress, Shear Stress in Key given Torque Transmitted formula is defined as a measure of the internal forces acting within a key when torque is applied. It helps in assessing the strength and stability of mechanical connections, ensuring that the key can withstand operational loads without failure. Shear Stress is denoted by 𝜏_{flat key} symbol.

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

FAQs on Shear Stress in Key given Torque Transmitted

What is the formula to find Shear Stress in Key given Torque Transmitted?

The formula of Shear Stress in Key given Torque Transmitted is expressed as Shear Stress = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using Key). Here is an example- 6.4E-5 = 2*224.5/(0.005*0.035*0.04498998).

How to calculate Shear Stress in Key given Torque Transmitted?

With Transmitted Torque by Keyed Shaft (M_t), Width of Key (b_k), Length of Key (l) & Diameter of Shaft using Key (d_s) we can find Shear Stress in Key given Torque Transmitted using the formula - Shear Stress = 2*Transmitted Torque by Keyed Shaft/(Width of Key*Length of Key*Diameter of Shaft using 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*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft using Key*Length of Key)

Can the Shear Stress in Key given Torque Transmitted be negative?

No, the Shear Stress in Key given Torque Transmitted, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress in Key given Torque Transmitted?

Shear Stress in Key given Torque Transmitted 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 Key given Torque Transmitted can be measured.

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Shear Stress in Key given Torque Transmitted Formula

​GoShear Stress in given Force on Key Formula

​GoShear Stress on Flat Key Formula

Shear Stress in Key given Torque Transmitted Example

Shear Stress in Key given Torque Transmitted Solution

Shear Stress in Key given Torque Transmitted Formula Elements

Other Formulas to find Shear Stress

Other formulas in Design of Square and Flat Keys category

How to Evaluate Shear Stress in Key given Torque Transmitted?

FAQs on Shear Stress in Key given Torque Transmitted

Variable Name

GoShear Stress in given Force on Key Formula

GoShear Stress on Flat Key Formula