Abstract

The optimum elastic design of p itched roof frames has been studied. An iterative method which uses Taylor's first order series expansion to express the various required constraints is employed. The function of the problem is linear in the design variables, which enables the simp lex line ar programming algorithm to be used to solve the problem, An example of rectangular hall has been investigated. The hall is cove red by pitched roof frames with different sp ans, spacing and slop es. Stress and deflection limitations are taken into consideration and the optimum cross-sectional area of the various members of the structure has been obtained. Design charts to determine the minimum weight of p itched roof frames, with different sp ans, spacing and slopes, covering a rectangular hall are given.

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