Repeat Problem 9.14 using the second set of DOFs shown in Fig. P9.15.
Figure P9.14 shows a uniform slab supported on four columns rigidly attached to the slab and clamped at the base. The slab has a total mass m and is rigid in plane and out of plane. Each column is of circular cross section, and its second moment of cross-sectional area about any diametrical axis is as noted. With the DOFs selected as ux , uy , and uθ at the center of the slab, and using influence coefficients:
Save your time - order a paper!
Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlinesOrder Paper Now
(a) Formulate the mass and stiffness matrices in terms of m and the lateral stiffness k = 12 /h3 of the smaller column; h is the height.
(b) Formulate the equations of motion for ground motion in (i) the x-direction, (ii) the y-direction, and (iii) the direction d–b.