Explore the concept of load distribution in structural engineering. How do civil engineers determine the most effective way to distribute loads in various types of structures such as beams, columns, and slabs? Discuss the mathematical models and theories used to predict load$-$bearing capacity and the importance of safety factors in these calculations. Consider the different types of loads $($static$,$ dynamic, dead, live$)$ and their impact on structural integrity, and explain how modern engineering software can aid in these analyses.