By the end of the course, the student can:
1. Recognize and explain the difference between normal and shear stresses and the difference between normal and shear strains
2. Apply beam theory to beams with symmetric cross-sections.
3. Determine slope and deflection of beams subjected to bending using differential equations characterizing the shape of the deformed beams and using the method of superposition
4. Calculate normal and shear stresses in beams subjected to both bending and shear (transversally loaded beams).
5. Calculate the 3D stress and strain state in a point
6. Calculate and understand principal stresses and strains
7. Explain theories of failure
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This course covers how the stiffness and strength of mechanical structures such as bars, shafts and beams can be determined. The analysis of stiffness is required to determine how much a structure will deform. The analysis of strength is required to determine is a structure will collapse or fail. After the discussion of simple slender members, the theory will be extended to more general complex 3D loading situations. Based on this elasticity theory, it is explained how principle stresses can be used to establish practically useful failure criteria. The course takes your elementary understanding of statics and materials science to establish knowledge about the complex analysis of mechanical structures and machines.
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