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7.16. Statics (Mandatory)

7.16.1. Justification ↑ Back to top

Statics is the first pillar of applied mechanics in Civil Engineering. It provides the tools needed to analyze the equilibrium of particles and rigid bodies subjected to force systems. Understanding the concepts of force, moment, and equilibrium is essential for the analysis and design of structures, enabling the determination of support reactions and internal forces in structural members.

7.16.2. Generales Goals ↑ Back to top

1. Understand and apply Newton's laws and vector algebra to solve equilibrium problems in two and three dimensions.
2. Determine internal forces in trusses, frames, and machines accurately.
3. Analyze the effect of friction and determine centers of gravity and moments of inertia of complex shapes.

7.16.3. Contribution to Outcomes ↑ Back to top

ABET-1) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics. (Usage)

ABET-6) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions. (Usage)

7.16.4. Content ↑ Back to top

7.16.4.1. Equilibrium of Particles and Rigid Bodies (8 hours) [Skills ABET-1,ABET-6] ↑ Back to top

Bibliography: (Hibbeler, 2016b; Meriam and Kraige, 2014)

Topics

1. Equilibrium equations and free-body diagrams for particles and rigid bodies in two and three dimensions
2. Flexible cables under concentrated and distributed loads

Learning Outcomes

1. Apply equilibrium equations to determine support reactions in two- and three-dimensional rigid-body systems [Usage]
2. Determine cable tension and shape under concentrated and distributed loads [Usage]

7.16.4.2. Internal Forces in Trusses and Frames (12 hours) [Skills ABET-1,ABET-6] ↑ Back to top

Bibliography: (Hibbeler, 2016b; Meriam and Kraige, 2014)

Topics

1. Truss analysis using the method of joints and the method of sections
2. Free-body diagrams and internal-force analysis of multi-member frames and machines
3. Internal forces in beams: shear-force and bending-moment diagrams

Learning Outcomes

1. Analyze planar trusses using both the method of joints and the method of sections [Assessment]
2. Draw free-body diagrams for multi-member frames and machines and determine internal member forces [Usage]
3. Construct shear-force and bending-moment diagrams for beams under concentrated and distributed loads [Assessment]

7.16.4.3. Geometric Properties of Areas and Friction (12 hours) [Skills ABET-1,ABET-6] ↑ Back to top

Bibliography: (Meriam and Kraige, 2014)

Topics

1. Centroids and centers of gravity of composite areas and lines
2. Moments of inertia of areas and the parallel-axis theorem
3. Dry friction: laws of friction, wedges, and screws
4. Virtual work and stability of equilibrium

Learning Outcomes

1. Determine the geometric properties of complex cross-sections used in structural shapes [Usage]
2. Analyze equilibrium problems involving static friction forces [Assessment]
3. Apply friction principles to the analysis of wedges and screw mechanisms [Usage]
4. Evaluate the stability of equilibrium using virtual work principles [Familiarity]

7.16.5. Bibliography ↑ Back to top

Hibbeler, R. (2016b). Engineering Mechanics: Statics. Pearson, 14th edition.

Meriam, J. and Kraige, L. (2014). Engineering Mechanics: Statics. Wiley, 8th edition.