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Structural Analysis

2.1 Fundamental Principles 2-2

Boundary Conditions • Loads and Reactions • Principle of Superposition

Relation among Load, Shear Force, and Bending Moment • Shear Force and Bending Moment Diagrams • Fixed-Ended Beams • Continuous Beams • Beam Deflection • Curved Beams

2.3 Trusses 2-21

Method of Joints • Method of Sections • Compound Trusses

Slope Deflection Method • Frame Analysis Using Slope Deflection Method • Moment Distribution Method • Method of Consistent Deformations

Bending of Thin Plates • Boundary Conditions • Bending of Rectangular Plates • Bending of Circular Plates • Strain Energy of Simple Plates • Plates of Various Shapes and Boundary Conditions • Orthotropic Plates

Stress Resultants in the Shell Element • Shells of Revolution • Spherical Dome • Conical Shells • Shells of Revolution Subjected to Unsymmetrical Loading • Cylindrical Shells • Symmetrically Loaded Circular Cylindrical Shells

2.7 Influence Lines 2-62

Influence Lines for Shear in Simple Beams • Influence Lines for Bending Moment in Simple Beams • Influence Lines for Trusses • Qualitative Influence Lines • Influence Lines for Continuous Beams

2.8 Energy Methods 2-65

Strain Energy Due to Uniaxial Stress • Strain Energy in Bending • Strain Energy in Shear • Energy Relations in Structural Analysis • Unit Load Method

2.9 Matrix Methods 2-74

Flexibility Method • Stiffness Method • Element Stiffness Matrix • Structure Stiffness Matrix • Loading between Nodes • Semirigid End Connection

2.10 The Finite Element Method 2-87

Basic Principle • Elastic Formulation • Plane Stress • Plane Strain • Choice of Element Shapes and Sizes • Choice of Displacement Function • Nodal Degrees of Freedom • Isoparametric Elements • Isoparametric Families of Elements • Element Shape Functions • Formulation of Stiffness Matrix • Plates Subjected to In-Plane Forces • Beam Element • Plate Element

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