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Strength of materials/Mechanics of materials

exam by parts

Lecturer: Tomas Mares (email: tomas.mares@fs.cvut.cz)

Strength of materials course consists of two one semester courses: Strength of materials I and Strength of materials II
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Strength of materials I course

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Lectures

- Tension and compression of axially loaded bars pdf1 pdf2 pdf3 pdf4
- Trusses both statically determinate and indeterminate
- Three-dimensional and two-dimensional stress state—principal stresses and planes, maximum shearing stress pdf5
- Strain energy for multiaxial stress state pdf6
- Theories of failure pdf7
- Torsion of circular shafts pdf8 pdf9
- Bending of beams—shearing force, bending moment pdf10
- Geometrical characteristics of a cross-section—centroids, second moments of area, etc. pdf11
- Bending of beams—normal and shearing stress in beams pdf12
- Deflection of beams pdf13
- Statically indeterminate beams pdf14
- Combined loading—unsymmetrical bending, bars with eccentric axial loads, bending and torsion, bending and shear pdf15
- Bending of thin curved beams pdf1 pdf2
- Bending of frames pdf3

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Tutorials

- Deflection of beam--differential equation pdf9

### Required text

- Sochor,M: Strength of materials I, CTU Publishing House, Prague 2014

### Recommended texts

- Mares,T: Lecture notes pdf
- Nash,W.A: Strength of Materials, Schaum's outline series, NcGraw-Hill, INC 1998
- Hibbeler, R.C: Mechanics of Materials, 6th ed, East Rutherford, NJ, Pearson Prentice Hall, 2004

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Tools

Calculator
## Strength of materials II course

- Design for fatigue strength—cyclic loading, S-N diagram, Smith's and Haigh's fatigue diagram pdf16
- Safety factors for fatigue strength, stress due to combined loading pdf17
- Thin-walled rotational membranes pdf
- Thick cylinders pdf4
- Compound thick cylinders pdf5
- Hub and shaft with an interference fit pdf6
- Rotating disks pdf7
- Circular plates pdf8
- Buckling of columns pdf9
- Buckling and bending pdf10
- 3D stress state and geometrical theory of strains pdf11 pdf12
- Torsion of noncircular bars and thin-walled tubes pdf13, pdf
- Plastic limit analysis of structures pdf14 pdf15

### Required text

- Sochor,M: Strength of materials II, CTU Publishing House, Prague 2015

### Recommended texts

- Mares,T: A few solved problems pdf1
- Hearn,E.J: Mechanics of materials 2, Butterworth-Heinemann, Boston, 1997