โ Scribed by W.K. Tso; J.K. Biswas
No coin nor oath required. For personal study only.
A simplified method is proposed to estimate the seismic response of coupled shear walls for design purposes. The method consists of first obtaining the dynamic characteristics of the structure approximately. The vibrating cantilever modes are taken as the approximate mode shapes of the structure. The frequencies of the structure are obtained by means of Rayleigh's principle. Using the dynamic characteristics thus obtained as input, the equivalent static loadings on the coupled shear walls is found by means of the response spectrum technique. The base shears and moments at the walls and the shear at the connecting beams are found by the continuum method of coupled shear wall analysis. It is shown that the seismic analysis based on the approximate dynamic characteristics is accurate within 5 per cent of that based on the actual dynamic characteristics of the coupled shear walls. A comparison is then made with the design values obtained from the codes and the contribution of the higher modes to the seismic responses is also presented.
The following symbols are used in this paper, AI, ,42 Cross sectional area of left and right shear wall respectively Ab area of the connecting beam E modulus of elasticity of material G shear modulus of material H total height of the building 11, 12 moment of inertia of left and right shear wall respectively lb moment of inertia of connecting beam a distance between the centroids of the shear walls c clear span of the connecting beam h storey height A~/k effective cross-sectional area of connecting beam to be considered for shear deformation (k = 1"2 for rectangular section) p average mass per unit height of a coupled shear wall unit
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