o Lesson 23 The Direct Stiffness Method: An Introduction, objectives: Differentiate between the direct stiffness method and the displacement method ~ Formulate flexibility matrix of member ~ Define stiffness matrix ~ Construct stiffness matrix of a member ~ Analyse simple structures by the direct stiffness matrix –contents– [ A simple example with one degree of freedom ~ Two degrees of freedom structure ]
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o Lesson 24 The Direct Stiffness Method: Truss Analysis, objectives: Derive member stiffness matrix of a truss member ~ Define local and global co-ordinate system ~ Transform displacements from local co-ordinate system to global co-ordinate system ~ Transform forces from local to global co-ordinate system ~ Transform member stiffness matrix from local to global co-ordinate system ~ Assemble member stiffness matrices to obtain the global stiffness matrix ~ Analyse plane truss by the direct stiffness matrix –contents– [ Local and Global Co-ordinate System ~ Member Stiffness Matrix ~ Transformation from Local to Global Co-ordinate System ~ Analysis of plane truss. ]
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o Lesson 25 The Direct Stiffness Method: Truss Analysis (Continued), objectives: Transform member stiffness matrix from local to global co-ordinate system ~ Assemble member stiffness matrices to obtain the global stiffness matrix ~ Analyse plane truss by the direct stiffness matrix ~ Analyse plane truss supported on inclined roller supports ~ ~ Summary ]
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o Lesson 26 The Direct Stiffness Method: Temperature Changes and Fabrication Errors in Truss Analysis, objectives: Compute stresses developed in the truss members due to temperature changes ~ Compute stresses developed in truss members due to fabrication members ~ Compute reactions in plane truss due to temperature changes and fabrication errors –contents– [ Temperature Effects and Fabrication Errors ]
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o Lesson 27 The Direct Stiffness Method: Beams, objectives: Derive member stiffness matrix of a beam element ~ Assemble member stiffness matrices to obtain the global stiffness matrix for a beam ~ Write down global load vector for the beam problem ~ Write the global load-displacement relation for the beam –contents– [ Beam Stiffness Matrix ~ Beam (global) Stiffness Matrix ~ Formation of load vector ~ Solution of equilibrium equations ]
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o Lesson 28 The Direct Stiffness Method: Beams (Continued), objectives: Derive member stiffness matrix of a beam element ~ Assemble member stiffness matrices to obtain the global stiffness matrix for a beam ~ Write the global load-displacement relation for the beam ~ Impose boundary conditions on the load-displacement relation of the beam ~ Analyse continuous beams by the direct stiffness method –contents– [ Summary ]
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o Lesson 29 The Direct Stiffness Method: Beams (Continued), objectives: Compute moments developed in the continuous beam due to support settlements ~ Compute moments developed in statically indeterminate beams due to temperature changes ~ Analyse continuous beam subjected to temperature changes and support settlements –contents– [ Support settlements ~ Effect of temperature change ]
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o Lesson 30 The Direct Stiffness Method: Plane Frames, objectives: Derive plane frame member stiffness matrix in local co-ordinate system ~ Transform plane frame member stiffness matrix from local to global co-ordinate system ~ Assemble member stiffness matrices to obtain the global stiffness matrix of the plane frame ~ Write the global load-displacement relation for the plane frame ~ Impose boundary conditions on the load-displacement relation ~ Analyse plane frames by the direct stiffness matrix method –contents– [ Member Stiffness Matrix ~ Transformation from local to global co-ordinate system ]
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