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(Solved): Problem 2.3 Consider the single-storey dual system shown in Figure 2.31. To distribute the seismic f ...
Problem 2.3
Consider the single-storey dual system shown in Figure 2.31. To distribute the seismic force F_(y)
among lateral resisting elements, i.e. frames and structural walls, the following equation is
employed:
V_(yi)=(k_(yi))/(\sum_(i=1)^M k_(yi))F_(y)+-(k_(yi)d_(\xi ))/(\sum_(j=1)^M k_(yj)d_(xj)^(2))M_(t)
where k_(yi) are the lateral stiffness of the moment-resisting systems along the y -direction. The dis-
tances of these systems from the centre of stiffness C_(R) are d_(xj);M_(t) is the torsional moment. Derive
the relationship in equation (2.9). Does the relationship hold for both elastic and inelastic
systems? Problem 2.3
Consider the single-storey dual system shown in Figure 2.31. To distribute the seismic force F_(y)
among lateral resisting elements, i.e. frames and structural walls, the following equation is
employed:
V_(yi)=(k_(yi))/(\sum_(i=1)^M k_(yi))F_(y)+-(k_(yi)d_(\xi ))/(\sum_(j=1)^M k_(yj)d_(xj)^(2))M_(t)
where k_(yi) are the lateral stiffness of the moment-resisting systems along the y -direction. The dis-
tances of these systems from the centre of stiffness C_(R) are d_(xj);M_(t) is the torsional moment. Derive
the relationship in equation (2.9). Does the relationship hold for both elastic and inelastic
systems?