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analysis applied approach beam behaviour bridge calculated camouflet circuit Civil and Structural Civil-Comp Press collapse column connector construction contractor corresponding cost crack cylinder defined deflection deformation developed displacement documents ductility dynamic earthquake edge Edinburgh elastic equation experimental factors finite element finite element analysis finite element method flow frames FREQUENCY RATIO fuzzy graph theory horizontal hysteretic increase indeterminate truss inelastic interface internal load isolation joint layer linear material sets matrix matroid maximum mesh obtained p-d effect panel zone paper parameters pavement performance models plastic hinges potential differences predicted problem procedure Professor Research resistance graph runway seismic response semi-Markov process shear shear stress shown in Figure shows solution spanning tree steel stiffness strain gauges stress structural design Structural Engineering subgrade Table Taichung Techniques for Civil tensile tensile stress truss values vector velocity vertical vessel wall yield Young's modulus