Contents Preface Notation Introduction 7 1. Bending of Long Rectangular Plates to a Cylindrical Surface ........ 4 1.1 Differential Equation for Cylindrical Bending of Plates............ 4 1.2 Cylindrical Bending of Uniformly Loaded Rectangular Plates with Simply Supported Edges… 6 1.3 Cylindrical Bending of Uniformly Loaded Rectangular Plates with Built-in Edges ...... 13 1.4 Cylindrical Bending of Uniformly Loaded Rectangular Plates with Elastically Built-in Edges ......... 17 1.5 The Effect on Stresses and Deflections of Small Displacements of Longitudinal Edges in the Plane of the Plate ................ 20 1.6 An Approximate Method of Calculating the Parameter u 24 This page has been reformatted by Knovel to provide easier navigation. viivii This page has been reformatted by Knovel to provide easier navigation. Contents Preface ..................................................................... v Notation .................................................................... xiii Introduction ............................................................ 1 1. Bending of Long Rectangular Plates to a Cylindrical Surface .......................................... 4 1.1 Differential Equation for Cylindrical Bending of Plates ......................................... 4 1.2 Cylindrical Bending of Uniformly Loaded Rectangular Plates with Simply Supported Edges ........................................................... 6 1.3 Cylindrical Bending of Uniformly Loaded Rectangular Plates with Built-in Edges ........ 13 1.4 Cylindrical Bending of Uniformly Loaded Rectangular Plates with Elastically Built-in Edges ........................................................... 17 1.5 The Effect on Stresses and Deflections of Small Displacements of Longitudinal Edges in the Plane of the Plate .................... 20 1.6 An Approximate Method of Calculating the Parameter u ................................................. 24