Miscellaneous Paper N-78-7 - Application of an Implicit Linear Statistical Analysis to the Estimation of the Resistance of a Reinforced Concrete Beam-columnhttps://hdl.handle.net/11681/242392019-12-06T01:36:56Z2019-12-06T01:36:56ZApplication of an implicit linear statistical analysis to the estimation of the resistance of a reinforced concrete beam-columnMlakar, Paul F.https://hdl.handle.net/11681/67832017-09-25T18:40:24Z1978-11-01T00:00:00ZApplication of an implicit linear statistical analysis to the estimation of the resistance of a reinforced concrete beam-column
Mlakar, Paul F.
Miscellaneous paper; Abstract: For the moments of a function of jointly distributed random variables, an approximate solution is derived that does not require an explicit closed form expression for the derivatives of the function. The solution is based on a linear approximation of the implicit functional relation. This technique is applied to the resistance of a reinforced concrete member subjected to combined bending and thrust, and the results are compared with those obtained from Monte Carlo simulations. The variability of this resistance due to fabrication randomness, which plays a central role in the derivation of a reliability-based design safety factor, is also discussed. Next, the larger uncertainty associated with the resistance of a beam-column, whose individual mean parameters must themselves be estimated as in the condition survey of an existing structure of unknown design, is examined. Finally, the importance of factors omitted from the resistance functional relation is considered.
1978-11-01T00:00:00Z