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Improvements On Classical Beam Theory
Classical Plate Theory
Large Deflections Of Plates Thick Plates
2 other sections not shown
angle antisymmetric applied approximation axial compression axis beam theory bending biharmonic function buckling calculated circumferential classical theory coefficients compressive stress concentrated load considered constant coordinates corresponding cosh cross section curvature curve cylinder deformation derivatives direction discussed in Sec displacements distributed effect elasticity theory element energy method equilibrium equations exact solution factor factor of safety FIGURE fixed edges flexural forces and moments harmonic Hooke's Law important involving L. H. Donnell large deflection length lines of curvature Love-Kirchhoff magnitude material membrane stresses middle surface nonlinear obtain plane strain plane stress plate theory problems ratio rectangular relations rotation Saint-Venant's principle satisfy series solutions shear strain shear stresses shell theory shown in Fig side sinh solution of Eqs strain energy stress field strut tensile stress thickness thin shells transverse loading transverse shear forces values wave wavelength wmax yielding zero