Thickness of Shaft Given Torsional Shear Stress in Weld Calculator

Formula Used:

\[ t = \frac{M_{tt}}{2 \pi r^2 \sigma_s} \]

Torsional Moment in Welded Shaft (Mtt):

N·m

Radius of Welded Shaft (r):

Torsional Shear Stress (σs):

Thickness of Welded Shaft (t):

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1. What is Thickness of Shaft Given Torsional Shear Stress in Weld?

The thickness of welded shaft calculation determines the required shaft thickness to withstand a given torsional moment while maintaining acceptable shear stress levels in the weld.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t = \frac{M_{tt}}{2 \pi r^2 \sigma_s} \]

Where:

\( t \) — Thickness of welded shaft (m)
\( M_{tt} \) — Torsional moment in welded shaft (N·m)
\( r \) — Radius of welded shaft (m)
\( \sigma_s \) — Torsional shear stress (Pa)
\( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: This formula calculates the required thickness of a welded shaft to resist torsional loading while maintaining safe shear stress levels in the weld material.

3. Importance of Thickness Calculation

Details: Accurate thickness calculation is crucial for ensuring structural integrity, preventing weld failure, and maintaining safe operation of rotating machinery under torsional loads.

4. Using the Calculator

Tips: Enter torsional moment in N·m, radius in meters, and torsional shear stress in Pascals. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for input values?
A: Use consistent SI units: N·m for torsional moment, meters for radius, and Pascals for shear stress.

Q2: How does shaft radius affect thickness requirement?
A: Thickness requirement decreases with increasing shaft radius, as the formula shows an inverse square relationship with radius.

Q3: What is typical torsional shear stress for welded shafts?
A: Typical values range from 50-150 MPa for steel shafts, but always consult specific material specifications and safety codes.

Q4: Does this formula account for safety factors?
A: No, this formula provides theoretical thickness. Always apply appropriate safety factors based on application requirements and industry standards.

Q5: Can this calculator be used for hollow shafts?
A: This formula is primarily for solid shafts. For hollow shafts, additional considerations for inner diameter and wall thickness distribution are needed.