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In this paper, the optimal design of prestressed structures is considered in the two following problems: Problem 1 Find the optimal prcstrcssing forces {T} such that the loading capacity of a given Structure is raised to a maximum with the constraints of stresses, displacements and the upper bound of prestressing forces. The member Sizes (cross-sectional areas) {A} arc fixed in the given structure. Problem 2 Find thc optimal member sizes {A} and the optimal prestressing forces {T} of a structure under given loading conditions such that the weight of Structure is minimum with the constraints of Stresses, displacements and member sizes. The problem 1 is solved by linear programming. The probleni 2 has been reduced to a sequence of problem 1 in using the concepts similar to that of Full Stressed Design. Several numerical applications show that the iteration process is rapidly convergent.
In this paper, the optimal design of prestressed structures is considered in the two following problems: Problem 1 Find the optimal prcstrcssing forces {T} such that the loading capacity of a given structure is raised to a maximum with the constraints of stresses, displacements and The upper bound of prestressing forces. The member Sizes (cross-sectional areas) {A} arc fixed in the given structure. Problem 2 Find thc optimal member sizes {A} and the optimal prestressing forces {T} of a structure under given loading The problem is that the weight of Structure is minimum with the constraints of Stresses, displacements and member sizes. The problem 1 is solved by linear programming. The probleni 2 has been reduced to a sequence of problem 1 in using the concepts similar to that of Full. Stressed Design. Several numerical applications show that the iteration process is warm.