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Allowable Tensile Stress given Total Load Carried by Plates in Compound Weld Calculator

Tensile Stress Formula:

\[ \sigma_t = \frac{W - 1.414 \times \tau \times L_{parallel} \times t_{plate}}{0.707 \times L_{single} \times t_{plate}} \]

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1. What is Allowable Tensile Stress in Compound Weld?

Definition: This calculator determines the allowable tensile stress in a compound weld based on the total load carried by plates, shear stress, weld dimensions, and plate thickness.

Purpose: It helps engineers and welders ensure weld joints can withstand expected loads while maintaining safety factors.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_t = \frac{W - 1.414 \times \tau \times L_{parallel} \times t_{plate}}{0.707 \times L_{single} \times t_{plate}} \]

Where:

  • \( \sigma_t \) — Allowable tensile stress (Pascals)
  • \( W \) — Load on weld (Newtons)
  • \( \tau \) — Shear stress (Pascals)
  • \( L_{parallel} \) — Length of parallel fillet weld (meters)
  • \( L_{single} \) — Length of single fillet lap weld (meters)
  • \( t_{plate} \) — Thickness of plate (meters)

Explanation: The formula accounts for both shear and tensile stresses in compound welds, subtracting the shear component from the total load before calculating tensile stress.

3. Importance of Allowable Tensile Stress Calculation

Details: Proper calculation ensures weld integrity, prevents joint failure, and helps maintain safety standards in structural applications.

4. Using the Calculator

Tips: Enter all required dimensions and loads. The tolerance field (default ±5%) accounts for material variations and safety factors.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 1.414 factor in the formula?
A: This factor accounts for the 45° angle in fillet welds where the effective throat = 0.707 × weld size.

Q2: What's a typical tolerance percentage?
A: ±5% is common, but this may vary based on material specifications and safety requirements.

Q3: How do I determine shear stress (τ)?
A: Shear stress is typically 60% of the tensile strength for most welding materials.

Q4: Can this be used for all weld types?
A: This formula is specifically for compound welds with both parallel and single fillet components.

Q5: What units should I use?
A: Use consistent SI units: Newtons for load, Pascals for stress, and meters for all lengths.

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