Torque Transmitted By Keyed Shaft Given Stress In Key Calculator

Formula Used:

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

Compressive Stress in Key (σc):

Diameter of Shaft using Key (ds):

Length of Key (l):

Height of Key (h):

Transmitted Torque by Keyed Shaft (Mt):

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1. What is the Torque Transmitted by Keyed Shaft Formula?

The formula calculates the torque transmitted by a keyed shaft based on compressive stress in the key and the dimensions of the key and shaft. It provides an accurate assessment of the torque capacity of a keyed connection.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( M_t \) — Transmitted Torque by Keyed Shaft (N·m)
\( \sigma_c \) — Compressive Stress in Key (Pa)
\( d_s \) — Diameter of Shaft using Key (m)
\( l \) — Length of Key (m)
\( h \) — Height of Key (m)

Explanation: The formula calculates the maximum torque that can be transmitted through a keyed connection without exceeding the allowable compressive stress in the key material.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for designing mechanical power transmission systems, ensuring safety factors are maintained, and preventing key failure in shaft connections.

4. Using the Calculator

Tips: Enter compressive stress in Pascals, and all dimensions in meters. All values must be valid positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is compressive stress in a key?
A: Compressive stress is the force per unit area acting on the key's cross-section that causes deformation and volume reduction of the material.

Q2: Why is the formula divided by 4?
A: The division by 4 accounts for the distribution of stress and the geometry of the key-shaft connection in torque transmission calculations.

Q3: What are typical values for compressive stress in keys?
A: Typical values range from 70-140 MPa for steel keys, but always consult material specifications for exact allowable stress values.

Q4: Can this formula be used for different key shapes?
A: This formula is specifically designed for rectangular or square keys. Different key shapes may require modified formulas.

Q5: What factors affect torque transmission capacity?
A: Key material strength, shaft diameter, key dimensions, and the quality of fit between key and keyway all affect torque transmission capacity.