Problem 2 (Philpot, 2013, w/ permission)
For the cantilever steel beam \( \left(E=200 \mathrm{CPa}, I=120 \times 10^{6} \mathrm{~mm}^{4}\right) \) shown, use the double-integration method to determine the deflection at point \( A \). Assume that \( L=2.5 \) \( \mathrm{m}, P=40 \mathrm{kN} \), and \( w=30 \mathrm{kN} / \mathrm{m} \).
A) \( \delta_{A}=-8.71 \mathrm{~mm} \)
B) \( \delta_{A}=-14.8 \mathrm{~mm} \)
C) \( \delta_{A}=-20.5 \mathrm{~mm} \)
D) \( \delta_{A}=-26.1 \mathrm{~mm} \)