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Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle Calculator

Leg of Weld Formula:

\[ h_l = \frac{P_f \times (\sin(\theta) + \cos(\theta))}{L \times \tau} \]

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1. What is Leg of Parallel Fillet Weld?

Definition: The leg of weld is the distance from the joint root to the toe of the weld, which determines the size of the fillet weld.

Purpose: This calculation helps engineers determine the appropriate weld size to withstand applied loads while considering shear stress and weld angle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_l = \frac{P_f \times (\sin(\theta) + \cos(\theta))}{L \times \tau} \]

Where:

  • \( h_l \) — Leg of weld (meters)
  • \( P_f \) — Load on parallel fillet weld (Newtons)
  • \( \theta \) — Weld cut angle (degrees)
  • \( L \) — Length of weld (meters)
  • \( \tau \) — Shear stress in parallel fillet weld (Pascals)

Explanation: The formula accounts for both the sine and cosine components of the load relative to the weld angle, divided by the weld length and allowable shear stress.

3. Importance of Weld Leg Calculation

Details: Proper weld sizing ensures structural integrity, prevents weld failure, and meets design specifications while optimizing material usage.

4. Using the Calculator

Tips: Enter the load in Newtons, weld angle in degrees, weld length in meters, shear stress in Pascals, and optional tolerance percentage (default ±5%).

5. Frequently Asked Questions (FAQ)

Q1: What is a typical shear stress value for welds?
A: Common values range from 70-140 MPa for structural steel welds, but always consult material specifications.

Q2: How does weld angle affect the leg size?
A: The angle changes the load distribution - 45° is most common as it balances sine and cosine components.

Q3: Why include a tolerance percentage?
A: Welding has inherent variability; tolerance accounts for practical manufacturing variations.

Q4: What's the minimum practical weld leg size?
A: Typically 3-5mm for manual welding, but depends on material thickness and welding process.

Q5: How do I convert the result to millimeters?
A: Multiply the meter result by 1000 (1m = 1000mm) for millimeter measurements.

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