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Theory of structures

Also listed as: תורת המבנים

Indeterminate structures by hand and then by matrix methods. It is the bridge between the strength-of-materials way of thinking and the finite-element way.

Semester
Not fixed
Weekly hours
4h
Counts as
Department electives
Interest areas
Structures and computational mechanics

What it covers

Topics

  • Statically determinate and indeterminate structures
  • Trusses, beams and frames
  • Deflections by virtual work, unit load and Castigliano
  • Force method and flexibility formulation
  • Displacement and stiffness method, slope-deflection
  • Moment distribution
  • Matrix structural analysis by direct stiffness, and the step from there to finite elements
  • Influence lines
  • Introduction to buckling and stability

Results worth carrying out

  • Degree of static indeterminacy, plane frame

    n=3m+r3jn = 3m + r - 3j
  • Unit-load method

    δ=0LMmEIdx\delta = \int_0^L \frac{M m}{EI}\,dx
  • Slope-deflection

    Mab=2EIL(2θa+θb3ψ)+FEMabM_{ab} = \frac{2EI}{L}\left(2\theta_a + \theta_b - 3\psi\right) + \mathrm{FEM}_{ab}

Figures worth knowing

  • Shear and moment diagrams
  • Deflected shapes
  • Influence lines

We also write the summaries.

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The topic outlines are not official syllabi. The university publishes a catalogue blurb per course, not lecture-by-lecture material, so each outline describes what a course of that name, at those hours, with those prerequisites teaches at engineering schools generally, cross-checked against the standard textbook for the subject. Treat it as an informed map, not as a transcript of the lectures.