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Basic Principles of Indeterminate
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analysis angle applied approximate arch assumed axial axis base structure basic beam of Fig bending cable calculated carry-over factor center line centroid computed condition configuration conjugate beam conjugate-beam constant critical load cross-section dead load diagram differential equation displacement elastic center method elastic curve end moments external Figure final moments finite difference fixed-ended moments force frame free body frequency ft-kips geometric hence horizontal reactions indeterminate structure indicates inertia influence diagram integration joint kips live load maximum moment-area method motion negative numerical numerical integration obtain ordinates positive Prob problem procedure produced qualitative influence lines radian redundant referring to Fig represents shear shown in Fig side span sidesway sign convention slope deflection solution Solve span BC static equilibrium statically determinate stiffening girder stiffness strain energy stress substitution tangent tension truss uniform load unit load vertical deflection vibration