Probabilistic Analysis of a Simple Portal Structure


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Title: Probabilistic Analysis of a Simple Portal Structure

Author(s): Fred Webster

Publication: Journal Proceedings

Volume: 70

Issue: 9

Appears on pages(s): 649-651

Keywords: beams (supports) ; columns (supports); mechanisms; portal frames: probability theory: structural analysis; reinforced concrete; reliability; statistical analysis: strength.

Date: 9/1/1973

Probability theory is used to analyze the structural response of a simple reinforced concrete portal made up of one beam and two spually reinforced columns. The portal is subjected to an increasing sequence of static test loads and at each test load the probabilities of plastic hinge formation are calculated. The results are stated in the form of a probability tree and a Markov Chain. These two forms map out the probabilities of each possible path to failure and state the probabilities of colapse and partial collapse at each test load.