Civil Engineering Association

Theory of plasticity and limit design of plates

1. Plastic Behaviour and Limit Analysis of Plates. Plastic deformation of plates. Plastic bearing moments per unit length of plates. Fundamental relations and principles of limit analysis of plates. Equations of equilibrium of plates. Various yield criteria for plates. Some topics of statical and kinematic solutions. 2. Rectangular Plates with Hinged Supports. Uniformly loaded, orthotropic, rectangular plates with edges supported by hinges. Uniformly loaded rectangular plates with hinged supports along three edges. Uniformly loaded rectangular plates supported on two opposite edges. Rectangular plates with a triangular load distribution. Rectangular plates with a trapezoidal load and hinged supports along the periphery. Uniformly loaded rectangular plates with the point load in the centre. Uniformly loaded, long, rectangular plates with a point load and supported along the opposite short edges. Uniformly loaded. Wide, rectangular plates supported along two opposite edges and with a point load. Static solutions for the ultimate loads on rectangular plates. 3. Yield-Line Planning for Rectangular Plates with a Concentrated Load. Ultimate concentrated load applied in the centre. Ultimate point load eccentrically applied to rectangular plates on hinged supports. 4. Polygonal, Circular and Elliptical Plates; Plates of Special Forms. Isotropic polygonal plates with straight yield lines. Isotropic polygonal plates with yield fans. Uniformly loaded polygonal plates with yield fans. Singular yield-line patterns of polygonal plates. Orthotropic polygonal plates. Regular polygonal, orthotropic plates with yield fans. Plates with curvilinear boundaries. Circular plates with hinged supports. Elliptical plates with hinged supports. Polygonal plates with rounded corners. A uniformly loaded, polygonal plate supported at the corners by columns and with a point load in the centre. Uniformly loaded circular plates supported on the peripheral columns with a point load in the centre. Plates with overhanging boundaries. The statical solution for the bearing capacity of polygonal plates. 5. Built-In Plates. Uniformly loaded, rectangular, built-in plates. Uniformly loaded. Orthotropic, rectangular plates built-in along three edges. Uniformly loaded, orthotropic, rectangular plates with built-in and hinged edges. Built-in plates with uniform and concentrated loads. Rectangular plates, built-in along three edges, with uniform and concentrated loads. Statical solutions for the bearing capacity of rectangular, built-in plates. Built-in, polygonal plates. 6. Skew Plates. Elementary solutions for skew (parallelogram) plates on hinged supports. Hinged-supported, skew plates with yield fans. Ultimate uniform load of skew plates with hinged supports along three edges. Skew plates with hinged supports along three edges and with yield fans. Skew plates supported on two opposite edges.