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Ultimate strength is the maximum stress a material can withstand before breaking. It is determined through tests that measure material changes under progressively increased load until the material reaches its breaking point. The ultimate load—the maximum load before failure—is divided by the material's original cross-sectional area to calculate ultimate normal stress or ultimate strength.

The factor of safety ensures safe operation by providing a reserve of load-carrying capacity. It is calculated as the ratio of ultimate load to allowable load, protecting against uncertainties in material properties, analytical methods, and future deterioration. A properly selected factor of safety prevents failure while avoiding uneconomical or nonfunctional designs.

Engineers must account for variations in material properties, different types of potential failure, uncertainties in analytical methods, future deterioration, structural importance, and risk to life and property. These considerations ensure the factor of safety is neither too small—risking failure—nor too large, which could result in uneconomical designs.

The allowable-stress method consolidates all uncertainties into a single safety factor for simplicity. Load and Resistance Factor Design, an alternative approach, differentiates between uncertainties associated with the structure and its load, and distinguishes between live and dead loads for more refined analysis.

Ultimate shearing stress is a significant factor in structural design, representing the maximum shear stress a material can endure before failure. Like ultimate normal stress, it informs the selection of safety factors and allowable stress limits to ensure safe load-carrying capacity under shearing forces.

Variations in material properties and uncertainties in how loads are applied create risks during structural operation. These uncertainties necessitate a factor of safety that buffers against unknown conditions. Modern methods like Load and Resistance Factor Design separately account for load and structural uncertainties to optimize safety and economy.

A factor of safety that is too small risks structural failure and endangers life and property. Conversely, an excessively large factor of safety results in uneconomical designs with unnecessary material use and reduced functionality. Engineers must balance these concerns when selecting appropriate safety factors.