Maximum Shear Stress in Transverse Fillet Weld

The maximum shear stress in a transverse fillet weld can be calculated using the following formula:

Maximum Shear Stress = P / (h * L)

Where:
- P is the applied load
- h is the throat thickness of the weld
- L is the effective length of the weld

The correct answer is option B, which states that the maximum shear stress is equal to 1.21P / (h * L).

Explanation:
To understand why option B is the correct answer, let's analyze the formula and the concept behind it.

1. Maximum Shear Stress:
The maximum shear stress occurs in the transverse fillet weld when the applied load is at its maximum. This stress is perpendicular to the length of the weld and acts across the throat thickness.

2. Throat Thickness (h):
The throat thickness of the weld is the shortest distance between the root and the face of the weld. It represents the effective area of the weld that resists shear forces.

3. Effective Length (L):
The effective length of the weld is the length over which the load is distributed. It depends on the geometry and arrangement of the weld.

4. Coefficient (1.21):
The coefficient 1.21 is an empirical factor that takes into account the stress concentration effects at the toe of the weld. It is used to account for the stress concentration factor, which increases the stress at the weld toe.

5. Calculation:
By dividing the applied load (P) by the product of throat thickness (h) and effective length (L), we can determine the maximum shear stress in the transverse fillet weld. The coefficient 1.21 is included in the formula to consider the stress concentration effects.

Therefore, the correct answer is option B, which states that the maximum shear stress is equal to 1.21P / (h * L).