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Once Statically Indeterminate Structures
Two and Three Times Statically Indeterminate Structures
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arch Area under curve axis beam structure bending moment diagram centroidal clockwise compatibility equations Consider contraflexure deflection Deformation diagram determinate diagram due diagram Fig diagram Mi diagram diagram Unity displacement distance due to unit elastic centre expression external Final bending Find values flexibility coefficients Hence horizontal thrust Indicated shape induced action kip ft Kmax lb ft lb/ft leg CD length load in span loading condition loading diagram measured method Mo diagram moments of inertia multiplied negative point load portal frame position Problem prop force radial shear reaction reader reinstated released actions result ring rotation of tangent shown in Fig simply supported beam Simpson's Rule simultaneous equations sin2 slope solution statically indeterminate structure strain energy Substituting summation symmetry tangential thrust torsion unit action unit force unit load Wabi Xi and X2 zero