AISC Seismic Design Manual by American Institute Of Steel Construction (Aisc), Structural

By American Institute Of Steel Construction (Aisc), Structural Steel Educational Council

This six-part handbook helps the 2005 AISC Seismic Provisions. It comprises sections on common layout issues; layout of platforms using R = three (braced and second frames); layout of braced-frame structures using R > three; layout of second body platforms using R > three; and layout of alternative structures using R > three.

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C) Cubic BE discretizations of the gear tooth. 3 where the exact solutions are also included. Whereas linear BE solutions are poorer than those of FE (finite element), the quadratic BE solutions are seen to be in good agreement with the exact solutions. 11. The load P acts normal to the gear tooth surface at the point shown in the figure and equals 400 N/mm. This problem was solved by Lachat [60] and later by Brebbia [63]. Assuming plane strain condition, the tooth was analyzed using (a) 291 six-noded isoparametric triangular finite elements with 630 nodal points (Fig.

Six-noded serendipity triangular boundary element. 5. Examples A number of example problems are presented in this section illustrating the use of lower and higher order boundary elements in 2-D and 3-D. For simplicity, the theoretical developments of this and last chapter were confined to potential problems only. The formulations presented so far are however expandable to elasticity or acoustics. Although we are postponing the development of detailed boundary element formulations for elasticity and acoustics till later chapters, we present two elasticity problems in this section.

6)]. Let us isolate this point by putting an arbitrarily small circular region (or a spherical region in 3-D) ε around the point bounded by ∈ (Fig. 7). , and ε , are included in writing the integral identity. The left-hand side of this equation is identically zero. 33b) would vanish in the limit as ε → 0. 34) This equation states that a harmonic function at a point p (up ) in the domain can be expressed as the sum of a single-layer potential (integral term with the fundamental solution, u∗ , in it) with density ∂u/∂n and a double-layer potential (integral term with the normal derivative of the fundamental solution, ∂u∗ /∂n, in it) with density −u.

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