Standard syllabus
Mechanics of materials · Undergraduate · Engineering
Topics
Stress, strain, and material response
- Normal and shear stress definitions at a point
- Normal and shear strain; Hooke's law for isotropic materials
- Poisson's ratio and generalized Hooke's law (intro)
- Axial loading: deformation and statically indeterminate bars
- Thermal strain and temperature change effects
- Torsion of circular shafts: shear stress and angle of twist
- Power transmission in rotating shafts
- Shear force and bending moment in beams
- Flexure formula and beam bending stress distribution
- Transverse shear stress in beams (introductory formula)
Deflection and failure criteria
- Elastic curve and moment-area theorems
- Superposition for beam deflection
- Statically indeterminate beams (intro methods)
- Combined loading: axial, torsion, and bending
- Stress transformation and Mohr's circle in 2D
- Principal stresses and maximum shear stress
- Failure theories: maximum normal stress and Tresca/von Mises
- Thin-walled pressure vessels: hoop and longitudinal stress
- Column buckling: Euler formula and effective length
- Design factors of safety and allowable stress design
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