the maximum stress intensity will be

To determine the maximum stress intensity, you will need to consider the material properties and the applied loads on the system. Here are the steps to calculate the maximum stress intensity:

1. Identify the type of loading: Determine whether the system is subjected to axial, bending, torsional, or combination of loads. This will help in selecting the appropriate stress formula.

2. Determine the applied loads: Calculate the magnitude and distribution of the applied loads on the system. For example, in the case of axial loading, you need to know the force magnitude and its location.

3. Analyze the geometry: Understand the geometry of the system and identify critical locations where the maximum stress intensity is likely to occur. These critical locations are usually where the stress concentration is the highest, such as notches, holes, or sharp corners.

4. Use stress concentration factor: Determine the stress concentration factor (Kt) at the critical locations. The stress concentration factor accounts for the increase in stress due to geometrical irregularities or load concentrations. It can be found in handbooks or through finite element analysis.

5. Apply stress formula: Once you have determined the stress concentration factor, apply the appropriate stress formula based on the type of loading to calculate the stress intensity. For example, in axial loading, the stress intensity (σ) is calculated using the formula: σ = F/A, where F is the applied force and A is the cross-sectional area.

6. Calculate maximum stress intensity: Multiply the stress intensity by the stress concentration factor to obtain the maximum stress intensity. For example, for axial loading, the maximum stress intensity (σ_max) can be calculated as σ_max = σ * Kt.

It is important to note that the process of determining the maximum stress intensity can be quite complex and might require additional considerations, such as material properties, safety factors, and failure criteria. Consulting a mechanical engineer or using advanced computer software can be helpful in obtaining accurate results.