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STATICALLY DETERMINATE FRAMES
DISPLACEMENTS IN BEAMS
19 other sections not shown
analysis applied load beam ABCD beam shown bending moment diagram Calculate cantilever carries a uniformly centre centroid Chapter coefficient collapse column compression consider continuous beam cross-section curvature deflection determine direction Equation equilibrium Euler Example factor of safety fixed-end moments flexural rigidity force diagram frame shown free bending hence horizontal influence line integration joint kN/m left-hand length load factor maximum bending maximum shear member forces negative neutral axis nodal displacements noted obtain parabola pin-jointed plane plastic hinge portal frame principal stresses principle problem prop reactions rectangular redundant relationship result right-hand rotation shear force shear stress shown in Fig sign convention simply supported simply-supported beam sin2 solution span statical statically determinate stiffness matrix strain energy structure taking moments tensile stress tension theory torsion transverse uniformly distributed load unit load vertical vibrations yield stress zero