Compressive Stress In Square Key Due To Transmitted Torque Calculator

Formula Used:

\[ \text{Compressive Stress in Key} = 2 \times \text{Shear Stress in Key} \] \[ \sigma_c = 2 \times \tau \]

Compressive Stress in Key:

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1. What is Compressive Stress in Square Key?

Compressive Stress in Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces. It is a critical parameter in mechanical design for ensuring proper torque transmission.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_c = 2 \times \tau \]

Where:

\( \sigma_c \) — Compressive Stress in Key (Pascal)
\( \tau \) — Shear Stress in Key (Pascal)

Explanation: The compressive stress in a square key is exactly twice the shear stress when transmitting torque, based on mechanical principles of key design.

3. Importance of Compressive Stress Calculation

Details: Accurate compressive stress calculation is crucial for ensuring that keys can safely transmit torque without failure, preventing mechanical breakdowns and ensuring system reliability.

4. Using the Calculator

Tips: Enter the shear stress value in Pascal. The value must be positive and valid for accurate calculation of compressive stress.

5. Frequently Asked Questions (FAQ)

Q1: Why is compressive stress twice the shear stress in square keys?
A: This relationship is derived from the mechanical design principles where the compressive force distribution results in exactly twice the shear stress value.

Q2: What are typical values for compressive stress in keys?
A: Typical values depend on the material properties, but should generally be below the yield strength of the key material with appropriate safety factors.

Q3: When should this calculation be used?
A: This calculation is essential during the design phase of mechanical systems involving keyed connections for torque transmission.

Q4: Are there limitations to this formula?
A: This formula applies specifically to square keys. Other key shapes may have different stress relationships and require different calculations.

Q5: How does material selection affect the results?
A: Material properties determine the maximum allowable stresses. The calculated compressive stress must be compared against the material's compressive yield strength.