Optimum Design of Grillages Including Warping,
BLACK SEA TECHNICAL UNIV TRABZON (TURKEY) DEPT OF CIVIL ENGINEERING
Pagination or Media Count:
A method is presented for optimum design of elastic grillages made of straight thin walled beams. The design problem is formulated by matrix displacement method. Empirical relationships are used to relate the beam cross-sectional properties to each other so that each beam element has only one design variable which is its moment of inertia. Joint displacements are also treated as independent design variables. This requires to include the stiffness constraints as polynomials of the variables in the design problem. Constraints on stresses, displacements and cross-sectional moments of inertia are also considered. The effect of warping is included by employing Vlasovs theory.