1. What is Full Yielding Torque?

Full Yielding Torque occurs when the torque is further increased beyond the elasto-plastic range, and the shaft will yield to the full depth of the cross section. It represents the maximum torque a solid shaft can withstand before complete yielding.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( T_f \) — Full Yielding Torque (N·m)
• \( \tau_0 \) — Yield Stress in Shear (Pa)
• \( r_2 \) — Outer Radius of Shaft (m)
• \( \pi \) — Archimedes' constant (≈3.14159)

Explanation: This formula calculates the torque required to cause complete yielding across the entire cross-section of a solid shaft, based on the material's shear yield strength and the shaft's geometry.

3. Importance of Full Yielding Torque Calculation

Details: Calculating full yielding torque is crucial for designing mechanical shafts and ensuring they can withstand expected torque loads without failure. It helps engineers determine the safety margins and appropriate material selection for shaft applications.

4. Using the Calculator

Tips: Enter the yield stress in shear in Pascals (Pa) and the outer radius of the shaft in meters (m). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is yield stress in shear?
A: Yield stress in shear is the stress level at which a material begins to deform plastically under shear loading conditions.

Q2: How does shaft radius affect yielding torque?
A: The yielding torque increases with the cube of the radius, meaning small increases in radius result in significant increases in torque capacity.

Q3: What materials is this formula applicable to?
A: This formula applies to ductile materials that exhibit yielding behavior, such as most metals and alloys used in shaft construction.

Q4: Are there limitations to this equation?
A: This equation assumes homogeneous material properties, perfect circular cross-section, and pure torsion loading without considering stress concentrations or other complex loading conditions.

Q5: How does this differ from elastic torque calculations?
A: Full yielding torque represents the maximum capacity beyond elastic deformation, while elastic torque calculations focus on the range where the material returns to its original shape after load removal.