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Repeat Problem 914 using the DOFs shown in Fig P917 Problem 914 Figure P914 shows a uniform slab supported on four columns rigidly attached to the slab and clamped at the base The slab has

Repeat Problem 9.14 using the DOFs shown in Fig. P9.17.

Problem 9.14

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 u, uy , and uθ at the center of the slab, and using influence coefficients:

(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.

 

 

 

Jun 10 2020 Read more Less More

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