Optimum Structures |
Contents
PINJOINTED FRAMEWORKS | 2 |
BEAMS | 35 |
CIRCULAR SANDWICH PLATES | 57 |
Copyright | |
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a-line applied basic solution beam bending moment boundary conditions calculus of variations components compression members concentrated members constant corresponding curvilinear coordinates defined dø/dr dual problem dx dy end load Equations equilibrium F₁ feasible solution field of Fig follows forces F given forces Hencky implies kinematic Lagrangian multipliers layout least volume limit linear programming log I/R M₁ M₂ maximum stiffness Michell minimum solution non-negative obtained ohdt optimum design optimum elastic design optimum framework optimum solution optimum structure orthogonal P₁ P₂ plate present problem principal strains q₁ R₁ regions satisfy Section slack functions slack variables solved ẞ-lines straight lines strain energy strain field stress resultants sufficient conditions system of given T₁ T₂ tension members u₁ valid values vanish variations virtual deformation virtual displacement virtual strain Vmin volume of material Wmax written Young's modulus zero µ₁ Σ Σ