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Shear Stress in Parallel Fillet Weld given Load Calculator

Shear Stress Formula:

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

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1. What is Shear Stress in Parallel Fillet Weld?

Definition: Shear stress in parallel fillet weld is the force tending to cause deformation of the fillet weld by slippage along planes parallel to the imposed stress.

Purpose: This calculation helps engineers ensure weld joints can withstand applied loads without failure.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula accounts for both the normal and tangential components of the applied load relative to the weld plane.

3. Importance of Shear Stress Calculation

Details: Proper calculation ensures weld joints have sufficient strength to withstand service loads while maintaining safety factors.

4. Using the Calculator

Tips: Enter the load in newtons, weld angle in degrees, weld length and leg in meters. The tolerance field (default ±5%) sets the acceptable stress range.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical acceptable shear stress for welds?
A: This depends on the base material and welding process, but typically ranges from 70-140 MPa for structural steel welds.

Q2: Why include a tolerance range?
A: Manufacturing variations and material properties often require a tolerance band for practical applications.

Q3: How does weld angle affect shear stress?
A: The angle changes the load distribution - at 45° the normal and tangential components are equal.

Q4: What's the "leg of weld"?
A: It's the distance from the joint root to the toe of the weld, representing the weld size.

Q5: When would I adjust the tolerance?
A: For critical applications use tighter tolerance (e.g., 2-3%), for less critical ones you might use 5-10%.

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