Structural Analysis

Structural Analysis is the forecast of the performance of a structure under prescribed loading conditions. The results that are of interest are: the deflections, reactions and stresses. Equations: {Q} = {Qf}+ [k]{u}---->At the member level (local) where: {Q} = Member forces {Qf}= Fixed-end member forces [k] = member stiffness matrix {u} = member displacements {P} = {Pf}+ [S]{d}---->At the structural level (global) where: {P} = Joint forces {Pf}= Fixed-end forces [S] = stiffness matrix {d} = displacements Worked out problems with solutions in pdf files Displacement, Reaction and Member Forces in an Axial Structure (Matrix Displacement Method,MDM) Degrees of Freedom (DOF) for an axial member Finding displacement, reaction and member forces using MDM method example (Axial) Find the displacements, member forces and reactions for this axial structure. Then, draw the axial diagram. StructuralAnalysisAxialEx2solution.pdf Finding displacement, reaction and member forces using MDM method example (Axial) Find the displacements, member forces and reactions for this axial structure. Then, draw the axial diagram. StructuralAnalysisAxialEx3solution.pdf Displacement, Reaction and Member Forces in a Truss (Matrix Displacement Method,MDM) Degrees of Freedom (DOF) for a truss member Finding displacement, reaction and member forces using MDM method example 1 (Truss) Find the displacements, member forces and reactions for this truss. StructuralAnalysisTrussEx1solution.pdf Finding displacement, reaction and member forces using MDM method example 2 (Truss) Find the displacements, member forces and reactions for this truss. StructuralAnalysisTrussEx2solution.pdf Finding displacement, reaction and member forces using MDM method example 3 (Truss) Find the displacements, member forces and reactions for this truss. StructuralAnalysisTrussEx3solution.pdf Displacement, Reaction and Member Forces in a Beam (Matrix Displacement Method,MDM) Degrees of Freedom (DOF) for a beam member Finding displacement, reaction and member forces using MDM method example 1(Beam) Find the displacements, member forces and reactions for this beam. Then, draw the shear and moment diagrams. StructuralAnalysisBeamEx1solution.pdf Finding displacement, reaction and member forces using MDM method example 2(Beam) Find the displacements, member forces and reactions for this beam. Then, draw the shear and moment diagrams. StructuralAnalysisBeamEx2solution.pdf Displacement, Reaction and Member Forces in a Frame (Matrix Displacement Method,MDM) Degrees of Freedom (DOF) for a frame member Finding displacement, reaction and member forces using MDM method example (Frames) Find the displacements, member forces and reactions for this frame shown below. StructuralAnalysisFrameEx1solution.pdf Finding displacement, reaction and member forces using MDM method example (Frames) Find the displacements, member forces and reactions for this frame shown below. StructuralAnalysisFrameEx2solution.pdf Qualitative shear and moment diagrams Fixed end forces derivation Videos Return to Topics page← ⇑