Torque Transmitted By Shaft Calculator

Formula Used:

\[ T_{shaft} = \frac{\pi \times \tau \times d_s^3}{16} \]

Torque transmitted by shaft (T_shaft):

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1. What is Torque Transmitted By Shaft?

Torque transmitted by shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ and is crucial in mechanical engineering for designing and analyzing rotating systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T_{shaft} = \frac{\pi \times \tau \times d_s^3}{16} \]

Where:

\( T_{shaft} \) — Torque transmitted by shaft (N·m)
\( \pi \) — Archimedes' constant (≈3.14159)
\( \tau \) — Shear stress in shaft (Pa)
\( d_s \) — Diameter of shaft (m)

Explanation: This formula calculates the maximum torque a solid circular shaft can transmit based on the material's shear stress capacity and the shaft's diameter.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, ensuring shaft strength, preventing failure, and optimizing power transmission efficiency in various applications.

4. Using the Calculator

Tips: Enter shear stress in Pascals (Pa) and shaft diameter in meters (m). All values must be positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is shear stress in a shaft?
A: Shear stress is the force per unit area tending to cause deformation of the shaft material by slippage along planes parallel to the imposed stress.

Q2: Why is the formula specific to circular shafts?
A: The derivation assumes a circular cross-section where stress distribution is symmetrical, making the calculation valid specifically for circular shafts.

Q3: What are typical shear stress values for common materials?
A: Shear stress values vary by material: mild steel ~345 MPa, aluminum ~207 MPa, brass ~241 MPa. Always consult material specifications.

Q4: Does this formula account for safety factors?
A: No, this calculates theoretical maximum torque. Engineering designs should include appropriate safety factors based on application requirements.

Q5: Can this be used for hollow shafts?
A: No, this formula is for solid circular shafts. Hollow shafts require a different formula accounting for inner and outer diameters.