Solved Problems

Problem: A cantilever beam of length $L$ carries a concentrated load $P$ at the free end. Determine the maximum deflection and slope using Double Integration.

Problem: A simply supported beam of length $L$ carries a uniform load $w$ over its entire length. Determine the maximum deflection.

Problem: A simply supported beam AB has length 4 m. It carries a concentrated load $P=10$ kN at 2 m from A (midspan). $EI$ is constant. Find the slope at Support A ($\theta_A$).

Problem: A cantilever beam of length $L = 5$ m is subjected to a uniform load $w = 10 \text{ kN/m}$ over its entire length, and a concentrated point load $P = 20 \text{ kN}$ at the free end. The beam has a constant flexural rigidity $EI = 10,000 \text{ kN}\cdot\text{m}^2$. Determine the maximum deflection at the free end.