Optimum Design of Structures |
Contents
An outline of existing design methods | 11 |
Mathematical optimisation | 17 |
Design of structures by matrix force method | 82 |
Copyright | |
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Common terms and phrases
A₁ acting analysed beam becomes bending boundary calculated changes chapter column condition Consider constant constructed corresponding cost deflection constraints derived direction displacement element equal equation example express external loads factor feasible final follows forces frame given gives ground structure hand horizontal indicates inequality instance integer jointed structures kN/mm˛ limited linearised load manner material matrix Maximise method mm˛ moments necessary negative non-linear noticed objective function obtained Once original permissible pin jointed plastic positive possible reduced redundant forces reference removed replaced respectively satisfy selected shape shown in Figure shows Similarly simplex simplex method solution solved span stage statically determinate stiffness stress constraints structure Substituting Table tion unit variables vector volume weight x₁ y₁ zero