Theory of Structures with Matrix Notation |
Contents
Bent members and structures | 90 |
Slopes and deflections | 111 |
Influence lines | 141 |
Copyright | |
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analysis anticlockwise axial force axial load axis beam shown becomes bending moment diagram cantilever column components compressive cross section d₁ d₂ develop distance external loads force in member forces acting fully plastic given by equation gives Hooke's law horizontal influence line isostatic jointed frame shown kN/mm² length linear linear elastic load factor M₁ M₂ matrix matrix form member forces midspan mm² obtained P₁ P₂ pin jointed frame plane plastic hinge point load positive reaction Resolving the forces rotation second end shearing force diagram shown in Figure simply supported beam slope deflection equations space frame span stiffness stiffness equations strain energy stress structure sway symmetrical taking moments tensile tensile stress unit load vector vertical deflection vertical equilibrium vertical load virtual work equation W₁ W₂ zero