Discussion Overview
The discussion revolves around the application of force to a curved surface, specifically addressing how to calculate stress when a force is applied via a pin to a u-shaped hole. The scope includes theoretical considerations and practical implications in engineering contexts.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- Tina inquires whether the process for calculating stress remains the same for a curved surface as it does for a flat surface, specifically asking about the method for determining the area.
- One participant suggests that a sketch and additional details about the orientation and dimensions of the surfaces involved are necessary for a clearer understanding.
- Tina provides a sketch and mentions the diameter of the pin, indicating that assumptions may need to be made due to limited information.
- Another participant notes that the stress at the contact area between the pin and the hole is complex, suggesting an approximation for compressive stress if the sizes are similar.
- It is mentioned that the hole must be larger than the pin for a cold fit, leading to a theoretical line load scenario, and that yield strength can help determine a lower bound on the contact area.
- A participant points out that while engineers often calculate stress using projected area, this assumption may not accurately reflect the actual stress distribution due to bending of the pin.
- Different types of stress, including tensile, bearing, and shear stress, are highlighted as important considerations in the analysis of the problem.
Areas of Agreement / Disagreement
Participants express differing views on the appropriate method for calculating stress in this scenario, with no consensus reached on the best approach or the implications of the assumptions involved.
Contextual Notes
Participants acknowledge the need for assumptions due to limited information and the complexity of stress distribution in the context of the pin and hole interaction.