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Compressive Stress In Key Calculator

Compressive Stress In Key Equation:

\[ \sigma_c = \frac{4 \times M_t}{d_s \times l \times h} \]

N·m
m
m
m

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1. What is Compressive Stress in 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 to ensure proper transmission of torque between shafts and connected components.

2. How Does the Calculator Work?

The calculator uses the Compressive Stress in Key equation:

\[ \sigma_c = \frac{4 \times M_t}{d_s \times l \times h} \]

Where:

Explanation: The equation calculates the compressive stress experienced by a key when transmitting torque from a shaft to a connected component, considering the geometric parameters of the key and shaft.

3. Importance of Compressive Stress Calculation

Details: Accurate calculation of compressive stress in keys is crucial for ensuring the structural integrity of mechanical connections, preventing key failure, and maintaining efficient power transmission in machinery.

4. Using the Calculator

Tips: Enter transmitted torque in N·m, diameter of shaft in meters, length of key in meters, and height of key in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for compressive stress in keys?
A: The acceptable compressive stress varies by material, but typically ranges from 50-200 MPa for steel keys, depending on the application and safety factors.

Q2: How does key material affect compressive stress?
A: Different materials have different yield strengths. The key material must be selected to withstand the calculated compressive stress without permanent deformation.

Q3: What happens if compressive stress exceeds material limits?
A: Excessive compressive stress can cause key deformation, crushing, or failure, leading to loss of torque transmission and potential equipment damage.

Q4: Are there standard key sizes for different shaft diameters?
A: Yes, mechanical standards (such as ANSI, ISO) provide recommended key dimensions for various shaft diameters to ensure proper fit and stress distribution.

Q5: Can this formula be used for woodruff keys?
A: This specific formula is designed for rectangular/square keys. Woodruff keys have different geometry and require modified stress calculations.

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