Mechanics of solids 2
Also listed as: מכניקת המוצקים 2
The bridge from strength of materials to failure analysis. Yield criteria, unsymmetric bending, thin-walled torsion, energy methods, buckling. It counts toward three interest areas at once.
- Semester
- Semester B
- Weekly hours
- 4h
- Counts as
- Core: solids
- Interest areas
- Structures and computational mechanics · Aeronautics and space · Miniaturised systems and materials
Comes after
- Mechanics of solids 1
What it covers
Stress state and failure
- Three-dimensional stress and strain, transformation, principal values, octahedral stresses
- Generalised Hooke's law, strain energy and strain-energy density
- Yield and failure criteria: Tresca, von Mises, Rankine, Mohr–Coulomb
Beams, torsion and energy methods
- Unsymmetric bending, shear centre, curved beams, composite sections
- Torsion of non-circular and thin-walled sections, open against closed, shear flow
- Castigliano's theorems, unit-load and virtual-work methods
- Statically indeterminate structures
Special problems and stability
- Beams on elastic foundation
- Thick-walled pressure vessels and rotating disks
- Stress concentration
- Euler columns, beam-columns, buckling and stability
- Introduction to fatigue, fracture, anisotropy and composites
Results worth carrying out
von Mises stress
Castigliano's second theorem
Euler buckling
Thin-walled torsion, shear flow
Figures worth knowing
- Mohr's circle
- von Mises and Tresca yield surfaces in principal-stress space
- Shear-flow diagrams
- Column buckling curves
- Shear-centre sketches
Related courses
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תורת התנודות
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Research project for honours students 1
פרויקט מחקר למצטיינים 1
The honours research project, and the most direct on-ramp to a thesis in the catalogue. You pick a supervisor, produce results, and frequently continue the same problem into a masters.
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פרויקט מחקר למצטיינים 2
The continuation of the honours project, where the results get deep enough to defend. Under the direct track this is already the first part of the masters thesis.
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Introduction to theory of elasticity
מבוא לתורת האלסטיות
The theory floor under every serious solid-mechanics result. Stress and strain as tensors, boundary-value problems formulated and solved, and the classical two-dimensional solutions.
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