Step 1: Shear Center and Bending Explained.
Applying a point load at a beam's shear center results in pure bending, avoiding twisting or shear. The shear center is where a load creates only a bending moment, not a twisting one.
Step 2: Answer.
Therefore, the answer is pure bending, making option (4) the correct choice.
Final Answer:
\[
\boxed{4. \, \text{Pure bending}}
\]