Statics & Strength of Materials
- Fundamentals of Statics and Force Vectors: Principles of engineering mechanics; scalar and vector quantities; force vectors; Cartesian components; unit vectors; addition of forces
- Force Systems and Resultants: Coplanar and spatial force systems; force resolution; resultant of force systems; force directed along a specified line
- Moments and Couples: Moment of a force; vector cross product; moment about a point and an axis; couples; equivalent force-couple systems
- Equilibrium of Rigid Bodies: Free-body diagrams; two-dimensional equilibrium equations; supports and reactions; two- and three-force members
- Analysis of Simple Structures: Trusses; method of joints and sections; frames and simple machines
- Centroids and Centers of Mass: Centroids of areas; centers of mass; composite areas and bodies; engineering applications
- Area Moments of Inertia: Second moment of area; radius of gyration; parallel-axis theorem; composite sections
- Introduction to Mechanics of Materials, Stress and Strain: Deformable bodies; normal and shear stress; normal and shear strain; basic assumptions
- Mechanical Properties and Axial Loading: Stress-strain diagrams; elastic and plastic behavior; Hooke's law; modulus of elasticity; Poisson's ratio
- Deformation of Axially Loaded Members: Axial deformation; members with varying cross-section and material; thermal effects; simple statically indeterminate problems
- Torsion: Behavior of circular shafts; torsional shear stress; angle of twist; shaft power transmission; industrial applications
- Shear Force and Bending Moment in Beams: Beam and loading types; load-shear-moment relationships; shear-force and bending-moment diagrams
- Bending Stresses: Pure bending; neutral axis; flexural stress relationship; section modulus; common cross-sections
- Shear Stresses in Beams: Shear-stress distribution; shear stresses in rectangular and other common sections; comparison of section behavior
- Beam Deformation and Deflection: Elastic curve; slope and deflection; boundary conditions; deformation of simple beams
- Review and Integrated Problems with Industrial Applications: Integration of statics and mechanics of materials; basic analysis of machinery and industrial equipment components; selection of appropriate mechanical models; comprehensive problems