The principles of statics are applied to composition and resolution of forces, moments and couples. The equilibrium states of structures are examined. Throughout, the free body diagram concept is emphasized. Vector algebra is used where it is most useful, and stress blocks are introduced. Shear force diagrams, bending moment diagrams and stress-strain relationships for materials are discussed. Stress and deformation in axially loaded members and flexural members (beams) are also covered.
By the end of this course, the student should be able to demonstrate the ability to:
- Translate real-world situations requiring analysis by statics into formal engineering problems.
- Sketch free body diagrams for statics problems, based on analyzing the action and reaction forces.
- Apply the principles of vector mechanics in modeling and solving two and three dimensional statics problems, including the concepts of force, moment, equivalent systems, and equilibrium.
- Analyze forces in statically-determinate trusses and frame structures, including stating (and solving for) the conditions for equilibrium.
- Determine the stress and strain in axially loaded members.
- Calculate loads due to water/fluid pressure in basic situations (simplified, straight line conditions).
- Determine the centroid and moment of inertia (second moment of area) of cross-sections composed of simple shapes.
- Calculate and draw the shear force and bending moment diagrams for statically-determinate beams.
- Analyze and relate the bending moment diagram and moment of inertia to the bending stresses in beams.
- Develop an appreciation of the relationship between statics and material science, through basic analysis and design of beams and axially loaded members.