Figure P9.23 shows a uniform slab supported on four identical columns rigidly attached to the…

Figure P9.23 shows a uniform slab supported on four identical 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 stiffness about any diametrical axis is as noted. With the DOFs selected as ux , uy , and uθ , formulate the equations of motion for the system subjected to ground displacements uga(t), ugb(t), ugc(t), and ugd (t) in the x-direction at the supports of columns a, b, c, and d, respectively. These equations governing the dynamic component (= total displacement − quasi-static component) of the displacements ux , uy , and uθ should be expressed in terms of m, b, and k = 12/h3 of the columns. How do these governing equations differ from the case of identical ground motion ug(t) at all column supports?

 

 

Looking for a Similar Assignment? Let us take care of your classwork while you enjoy your free time! All papers are written from scratch and are 100% Original. Try us today! Use Code FREE15

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 deadlines

Order Paper Now