Which of the following is one of the key assumptions made in Linear Static Analysis?

In Linear Static Analysis, one of the fundamental assumptions is that displacements are very small, and the highest stress experienced by the materials is still within the linear range of the stress-strain curve. This is crucial because the linear static analysis relies on the materials behaving linearly, which means their response to applied loads is proportional to the amount of load applied.

When displacements are small, the geometry of the structure does not change significantly, allowing the linear equations governing the system's behavior to remain valid throughout the loading process. The stress-strain relationship remains linear, which simplifies calculations and makes it possible to use methods such as superposition to analyze the effects of multiple loads.

By ensuring that the maximum stress is within the linear range, the analysis can accurately predict how the material will behave without reaching yielding or failure, keeping the analysis valid and reliable for engineering applications. This assumption is vital for ensuring structural integrity and evaluating performance under expected loading conditions.