A bridge that is $20\,\text{m}$ in length and uniform throughout has a weight of $100\,\text{kN}$. It is held up at both ends by pillars, as illustrated. The pillars apply forces $T_1$ and $T_2$ to the two ends of the bridge. What are the values of $T_1$ and $T_2$ when a van with weight $24\,\text{kN}$ is positioned on the bridge, $5\,\text{m}$ from the left-hand pillar?