(Solved): Q3 - Impulse loading The water tank below can be treated as a SDOF structure with the properties: \ ...

Q3 - Impulse loading The water tank below can be treated as a SDOF structure with the properties: \( W=10,000 \mathrm{kN}, k=400 \) \( \mathrm{kN} / \mathrm{mm} \). As a result of a high-intensity seismic impulse, the tank is subjected to the dynamic-load history shown \( P(t) \). Compute approximately: a. the maximum displacement b. maximum base shear force, and c. maximum overturning moment at the base of the tower. using the equation \[ u\left(t-t_{1}\right)=\frac{1}{m \omega}\left[\int_{0}^{t_{1}} p(t) d t\right] \cdot \sin \left[\omega\left(t-t_{1}\right)\right] \] You can evaluate the impulse integral numerically using either the trapezoidal method or Simpson's rule.