A prismatic solid circular rod of diameter \( d \) is bent to introduce an offset \( s = d \) as shown. The rod is further subjected to an axial load \( P \). If the maximum longitudinal stress at a section A-B in the rod (with offset) is \( n \) times the longitudinal stress in the straight rod, the value of \( n \) (in integer) would be \(\underline{\hspace{2cm}}\).
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When a rod is bent, the longitudinal stress increases due to the bending moment, and the increase factor can be calculated based on the geometry of the system.
For a bent rod subjected to an axial load, the longitudinal stress is given by:
\[
\sigma = \frac{P}{A}
\]
Where \( A \) is the cross-sectional area. When the rod is bent, the longitudinal stress is modified due to the bending moment. The stress is increased by a factor of \( n \), which is determined by the geometry of the rod.
For the rod with an offset, the value of \( n \) is \( 9 \).
Thus, the value of \( n \) is \( 9 \).
