ABSTRACT
A plate is a flat structural element having two dimensions much larger than the thickness. They can be loaded by in-plane loads ( N x $ N_{x} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_1.tif"/> , N y $ N_{y} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_2.tif"/> , N x y $ N_{xy} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_3.tif"/> ) or transverse loads, the latter producing bending moments ( M x $ M_{x} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_4.tif"/> , M y $ M_{y} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_5.tif"/> , M x y $ M_{xy} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_6.tif"/> ). The design of plates seldom begins with a set of specified bending moments M x $ M_{x} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_7.tif"/> , M y $ M_{y} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_8.tif"/> , M x y $ M_{xy} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315296494/ddaf5c6c-59eb-45c6-9191-bbd0c8a81172/content/inline-math11_9.tif"/> . However, all the analysis presented in Chapter 6 assumed that bending moments and in-plane loads were known. Therefore, it is necessary to determine these values as a function of the loading and boundary conditions before the stresses in the plate can be computed.
