Contents along with download links:
* Module 1 Energy Methods in Structural Analysis
o Lesson 1 General Introduction, objectives: Differentiate between various structural forms such as beams, plane truss, space truss, plane frame, space frame, arches, cables, plates and shells ~ State and use conditions of static equilibrium ~ Calculate the degree of static and kinematic indeterminacy of a given structure such as beams, truss and frames ~ Differentiate between stable and unstable structure ~ Define flexibility and stiffness coefficients ~ Write force-displacement relations for simple structure –contents– [ Classification of Structures ~ Equations of Static Equilibrium ~ Static Indeterminacy ~ Kinematic Indeterminacy ~ Kinematically Unstable Structure ~ Compatibility Equations ~ Force-Displacement Relationship ]
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o Lesson 2 Principle of Superposition, Strain Energy, objectives: State and use principle of superposition ~ Explain strain energy concept ~ Differentiate between elastic and inelastic strain energy and state units of strain energy ~ Derive an expression for strain energy stored in one-dimensional structure under axial load ~ Derive an expression for elastic strain energy stored in a beam in bending ~ Derive an expression for elastic strain energy stored in a beam in shear ~ Derive an expression for elastic strain energy stored in a circular shaft under torsion –contents– [ Principle of Superposition ~ Strain Energy ~ Strain energy due to torsion ]
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o Lesson 3 Castigliano’s Theorems, objectives: State and prove first theorem of Castigliano ~ Calculate deflections along the direction of applied load of a statically determinate structure at the point of application of load ~ Calculate deflections of a statically determinate structure in any direction at a point where the load is not acting by fictious (imaginary) load method ~ State and prove Castigliano’s second theorem –contents– [ Castigliano’s First Theorem ~ Castigliano’s Second Theorem ]
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o Lesson 4 Theorem of Least Work, objectives: State and prove theorem of Least Work ~ Analyse statically indeterminate structure ~ State and prove Maxwell-Betti’s Reciprocal theorem –contents– [ Theorem of Least Work ~ Maxwell–Betti Reciprocal theorem ]
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o Lesson 5 Virtual Work, objectives: Define Virtual Work ~ Differentiate between external and internal virtual work ~ Sate principle of virtual displacement and principle of virtual forces ~ Drive an expression of calculating deflections of structure using unit load method ~ Calculate deflections of a statically determinate structure using unit load method ~ State unit displacement method ~ Calculate stiffness coefficients using unit-displacement method –contents– [ Principle of Virtual Work ~ Principle of Virtual Displacement ~ Principle of Virtual Forces ~ Unit Load Method ~ Unit Displacement Method ]
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o Lesson 6 Engesser’s Theorem and Truss Deflections by Virtual Work Principles, objectives: State and prove Crotti-Engesser theorem ~ Derive simple expressions for calculating deflections in trusses subjected to mechanical loading using unit-load method ~ Derive equations for calculating deflections in trusses subjected to temperature loads ~ Compute deflections in trusses using unit-load method due to fabrication errors –contents– [ Crotti-Engesser Theorem ~ Unit Load Method as applied to Trusses ~ Fabrication Errors and Camber ~ Procedure for calculating truss deflection ]
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