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CE 227 - Earthquake Resistant Design: Final problem
Consider the simple building frame show above. The moment capacity selected for the top floor beam is 100 kip-ft and that of the lower floor is 150 k-ft. The distribution of lateral loading to the frame is shown in the figure. Gravity loads may be disregarded.
1. What is the conventionally desired plastic mechanism for this structure considering lateral seismic forces? Show locations of plastic hinges and a simple mechanism for the structure.
2. Determine the moment and shear capacities that should be considered for the columns using conventional methods based on joint equilibrium to insure a strong column-weak girder design (i.e., Sum(M_pcol)>Sum(M_pbeam). The column should have the same properties in both stories.
3. Using plastic analysis, estimate the moment and shears in the columns at collapse. Compare these values to those obtained in Part 2.
4. Is it possible to insure that column yielding does not occur in this structure? That is, provide an illustration of an assumption you used in Part 3 that may result in higher column moments.