Contents iⅸ 4. Small Deflections of Laterally Loaded Plates 79 4.21 The Differential Equation of the Deflection Surface............ 79 4.22 Boundary Conditions........ 83 4.23 Alternativme Method of Derivation of the Boundary Conditions........... 88 4.24 Reduction of the Problem of Bending of a Plate to That of Deflection of a Membrane........... 92 4.25 Effect of Elastic Constants on the Magnitude of Bending Moments 97 4.26 Exact Theory of Plates ............ 98 5. Simply Supported Rectangular Plates .......... 105 5.27 Simply Supported Rectangular Plates under Sinusoidal Load 105 5.28 Navier Solution for Simply Supported Rectangular Plates ......... 108 5.29 Further Applications of the Navier Solution ....... 111 5.30 Alternate Solution for Simply Supported and Uniformly Loaded Rectangular Plates ............. 113 5.31 Simply Supported Rectangular Plates under Hydrostatic Pressure ..... 124 5.32 Simply Supported Rectangular Plate under a Load in the Form of a Triangular Prism .... 130 This page has been reformatted by Knovel to provide easier navigation.Contents ix This page has been reformatted by Knovel to provide easier navigation. 4. Small Deflections of Laterally Loaded Plates ................................................................ 79 4.21 The Differential Equation of the Deflection Surface ......................................................... 79 4.22 Boundary Conditions .................................... 83 4.23 Alternativme Method of Derivation of the Boundary Conditions .................................... 88 4.24 Reduction of the Problem of Bending of a Plate to That of Deflection of a Membrane .................................................... 92 4.25 Effect of Elastic Constants on the Magnitude of Bending Moments .................. 97 4.26 Exact Theory of Plates ................................. 98 5. Simply Supported Rectangular Plates ........... 105 5.27 Simply Supported Rectangular Plates under Sinusoidal Load ................................. 105 5.28 Navier Solution for Simply Supported Rectangular Plates ....................................... 108 5.29 Further Applications of the Navier Solution ........................................................ 111 5.30 Alternate Solution for Simply Supported and Uniformly Loaded Rectangular Plates ........................................................... 113 5.31 Simply Supported Rectangular Plates under Hydrostatic Pressure .......................... 124 5.32 Simply Supported Rectangular Plate under a Load in the Form of a Triangular Prism ..... 130