Civil engineering analysis of beams, frames and trusses under bending, deflection, torsion, axial loading and buckling.
Sub Category
- Engineering
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Objectives
- Identify the common structural supports, elements and structures
- Static equilibrium to find the reactions of beams and trusses
- Find the member forces in trusses using the methods of joints and sections, and determine if a truss is stable
- Draw the shear forces and bending moment diagrams for beams and apply the method of superposition
- Equilibrium and stability of frames
- Geometric properties of sections, including centroid and second moment of area using integration and the parallel axis theorem
- Understand the difference between Euler-Bernoulli and Timoshenko beams
- Deflections and stresses in beams using the flexure formula, moment-curvature relation, moment area method, conjugate beam method, and virtual work
- Deflections in trusses using virtual work
- Complementary shear stresses in beams, shear flow and the shear center
- Force method for indeterminate beams, frames and trusses
- Buckling analysis of columns using the Euler buckling load, effective length and slenderness ratio
- Torsion and warping analysis of shafts, thin-walled closed sections and open sections, including I-beams
- Lateral torsional buckling of beams and the critical buckling moment
Pre Requisites
- Basic physics or engineering mechanics (statics)
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