Journal Article10.1061/JSDEAG.0002498
Reliability-Based Structural Design
Fred Moses,John D. Stevenson +1 more
44
TL;DR: In this paper, the failure probability for multiload condition structures with loads and strengths as random variables is described in terms of reliability or probability of survival for multimember multi-load condition structures.
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Abstract: Safety is described in terms of reliability or probability of survival for multimember multiload condition structures with loads and strengths as random variables. These include weakest link structures which fail if any member fails and fail-safe structures which survive even after the failure or yielding of some members. A proposed design method is to proportion member sizes with a mathematical programming approach to minimize weight subject to an overall probability of failure constraint. Examples presented include trusses designed by weakest link failure analysis and limit designed redundant or fail safe rigid frames. A sequence of numerical integrations evaluates the failure probability for any form of load and strength frequency distribution. Results show the optimum design versus allowable failure probability, coefficients of variation and frequency distribution for load and strength and the effect of failure mode correlation which is due to different members being affected by the same loading.
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Citations
Basic Analysis of Structural Safety
TL;DR: In this article, the Lagrange multiplier is used to evaluate the safety index and the location of the design point, and Monte Carlo techniques are recommended for use in estimating limit state probabilities as a practical alternative to other methods.
538
Matrix formulation of reliability analysis and reliability-based design
TL;DR: A matrix formulation of the reliability analysis and reliability-based design of structures is developed and can be used by designers to choose among alternative designs that satisfy all existing code regulations, and to design systems in the absence of formal code regulations.
117
Sensitivity of Reliability‐Based Optimum Design
TL;DR: In this article, a reliability-based optimization sensitivity analysis technique based on the feasible directions concept is presented for plastic design of redundant structures, which is specialized to a formulation of the problem of plastic optimization for minimum weight based on a rational reliability constraint for sizing members.
73
Limit Analysis of Structures with Stochastic Strength Variations
Guiliano Augusti,Alessandro Baratta +1 more
- 01 Jan 1972
TL;DR: In this article, a probabilistic fomulation of the fundamental theorems of "limit analysis" is developed, which allows, with a very limited amount of computing work, the determination of a domain containing the probability distribution curve of the collapse load factor of any structure that satisfies the usual conditions for validity of the limit analysis, but has randomly distributed limit strengths.
41
Probabilistic optimum design of framed structures
TL;DR: In this paper, a sequential quadratic programming algorithm is developed for the optimum reliability-based design of framed structures, using the stochastic finite element method (SFEM) to estimate the reliability of the structure for various element-level performance criteria, while the failure mode approach is used to estimate system reliability.
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