Applied Structural Mechanics

1 Introduction.- A Fundamentals of elasticity — Chapter 2 to 7 —.- A.1 Definitions — Formulas — Concepts.- 2 Tensor algebra and analysis.- 3 State of stress.- 4 State of strain.- 5 Constitutive laws of linearly elastic bodies.- 6 Energy principles.- 7 Problem formulations in the theory of linear elasticity.- A.2 Exercises.- B Plane load—bearing structures — Chapter 8 to 10 —.- B.1 Definitions — Formulas — Concepts.- 8 Disks.- 10 Coupled disk-plate problems.- B.2 Exercises.- C Curved load—bearing structures — Chapter 11 to 14 —.- C.1 Definitions — Formulas — Concepts.- 11 General fundamentals of shells.- 12 Membrane theory of shells.- 13 Bending theory of shells of revolution.- 14 Theory of shallow shells.- C.2 Exercises.- D Structural optimization — Chapter 15 to 18 —.- D.1 Definitions — Formulas — Concepts.- 15 Fundamentals of structural optimization.- 16 Algorithms of Mathematical Programming (MP).- 17 Sensitivity analysis of structures.- 18 Optimization strategies.- D.2 Exercises.- References.- A Fundamentals of elasticity.- B Plane load-bearing structures.- C Curved load-bearing structures.- D Structural optimization.