In this paper, a new type of buckling-restrained brace characterized by a variable cross-section core (BRB-VCC) is proposed and investigated. The practical design equations of the BRB-VCC are derived based on mechanical and mathematical theories. Six specimens are designed and tested to clarify the mechanical behaviours of the BRB-VCC and to validate the reliability of the proposed equations. The test results show that (1) none of the specimens buckle under compression, as expected, and their ductilities and energy dissipation capacities are satisfactory; (2) the derived formulas are reliable and can be conveniently used in engineering practice; and (3) the yielding displacement of the BRB-VCC is approximately 70% that of the traditional TJ-1 buckling-restrained brace (BRB-TJ-1), which may yield earlier than the BRB-TJ-1 in concrete structures under the action of an earthquake.
For the high-rise building with the basement, it is difficult to identify the position of the embedded fixed end due to the restraints of the backfill soil foundation. The simplified mechanical model of the high-rise building with the basement is established based on several hypotheses, and the mathematical expressions for calculating the elastic lateral displacement and internal forces of the high-rise building with the basement under the inverted-triangle distributed load is then obtained based on the mechanical theory. The influence of parameters β and h/H to four variable parameters are researched, and the four variable parameters are the moment M(0)and shear Q(0) at the bottom plate of the basement, the lateral displacement y(h) at the top plate of the basement, the lateral displacement y(H) at the top of the whole structure. Research indicates that the simplified algorithms of the high-rise building with the basement considering the restraint of the backfill soil foundation are reliable, and can be referred and applied by the researchers and engineers.
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