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While considering the intricacies of load distribution in multi$-$story buildings, how does the interplay between various structural components such as beams, columns, slabs, and walls affect the overall stability and integrity of the structure, especially in the context of dynamic loading conditions such as seismic events or wind forces? Discuss the theoretical principles that govern the design and placement of these elements to ensure an optimal balance between load$-$bearing capacity and flexibility. Additionally, examine the role of material properties and construction techniques in influencing the performance of these structural systems under varying loads. How do engineers incorporate redundancy and fail$-$safes in their designs to mitigate the risks associated with unexpected load paths or structural failures? Include in your discussion the importance of compliance with building codes and standards, as well as the advancements in computational modeling that assist engineers in predicting and enhancing the behavior of complex structural systems.