Premium
A response‐spectrum‐based envelope for Mohr's circle
Author(s) -
Menun Charles
Publication year - 2003
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.308
Subject(s) - envelope (radar) , response spectrum , structural engineering , radius , shear (geology) , engineering , geology , mathematics , geotechnical engineering , computer science , petrology , telecommunications , radar , computer security
Abstract Mohr's circle is commonly used to determine the combinations of normal and shear stresses that act in any direction at a location of interest within a structure. During an earthquake, the radius and center of Mohr's circle naturally fluctuate with time. In such cases, an envelope that bounds the time‐varying realizations of Mohr's circle at a given location is desirable to facilitate the identification of critical combinations of normal and shear stresses at that location. In this paper, a response‐spectrum‐based procedure for predicting the envelope that bounds Mohr's circle in a linear‐elastic structure subjected to seismic loads is developed. The accuracy of the proposed envelope is evaluated by comparing it to the results of time‐history analyses performed on a concrete gravity dam using simulated and recorded ground motions. It is found that the proposed envelope has a level of accuracy that is commensurate with its response spectrum bases. The largest observed difference between the simulated and predicted envelopes is less than 10%. Copyright © 2003 John Wiley & Sons, Ltd.