What will be the work done force P if another load external load F&rsq...
Answer: d
Explanation: Here, P will remain constant. So, it will be a simple integration from 0 to Δ’.
View all questions of this test
What will be the work done force P if another load external load F&rsq...
Understanding Work Done by Force P
In structural analysis, when an external load \( F' \) is applied to a system causing a deflection \( \Delta' \), it is essential to understand how the internal forces interact to compute the work done by another force \( P \).
Work Done Calculation
- The work done by a force is defined as the product of the force and the displacement in the direction of the force.
- When load \( F' \) causes a deflection \( \Delta' \), the internal structure responds by redistributing forces, including the additional force \( P \).
Work by Force P
- If \( P \) also acts in the same direction as \( F' \), then the total work done by force \( P \) during the deflection \( \Delta' \) can be expressed as:
\[
\text{Work} = P \cdot \Delta'
\]
- This indicates that the work done by force \( P \) is directly proportional to the force itself and the deflection caused by the external load.
Conclusion
- Thus, the total work done by force \( P \) while the system experiences a deflection \( \Delta' \) owing to the external load \( F' \) is \( P \Delta' \).
- Therefore, the correct answer is option 'D': \( P \Delta' \).
This relationship is fundamental in understanding how forces interact within a structure when subjected to loads.