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FLEXURE OF FLAT PLATES
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analysis angle applied assumed axes axial axis beam bending stress biharmonic equation boundary conditions calculated considered constant contour coordinates crack curvature cylinder cylindrical shell defined deflected shape deformation derivatives determined differential equation direct stress direction cosines disc dx dy dxdy edge loading elastic element equal equilibrium equation expression extensometers external flexure forces acting fringe gauge factor give given governing equation gradient Hence hole hoop stress integral linear maximum membrane stresses method nodes numerical obtained outer edge photoelastic plane strain plane stress plastic yielding plate Poisson's ratio polariscope polarizer positive pressure principal stresses problem radial stress radius rectangular relaxation residual rotation satisfied shaft shear force shear strain shear stress shown in Fig strain energy strain gauges stress components stress distribution stress function stress resultants stress-free stresses acting surface temperature tensile tensile stress thickness uniform unit length variable variational equation vector x-axis x-direction zero