Reliability of Prismatic Bars in Tension

by Emilio Rosenblueth,
Alfredo Careaga,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 3, Pg. 563-569

Document Type: Journal Paper


Gaussian processes with absorbing barriers have been the subject of much study because of their numerous applications. The reliability of a brittle prismatic bar under uniform tension and whose strength has a stationary Gaussian distribution leads to one such problems. A particular choice of the autocorrelation function of strength allows translating the problem into a partial differential equation that admits an expedient numerical solution. Therein lies the main attractiveness of the problem. By changing the boundary, a generalization will furnish the reliability of prismatic bars under variable tension and of nonprismatic bars, as well as the solution to other problems of nonstationary Gaussian processes with absorbing barriers. The formulation can also be reinterpreted as pertaining to non-Gaussian probability distribution of strength provided the autocorrelation function is treated appropriately.

Subject Headings: Gaussian process | Bars (structure) | Tension members | Ultimate strength | Brittleness | Differential equations | Numerical methods | Domain boundary

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