Civil engineering analysis of beams, frames and trusses under bending, deflection, torsion, axial loading and buckling.
What you will learn
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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
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