Faculty of Engineering and Natural Sciences
Department of Architecture

Code Name Level Year Semester
ARC 108 Statics and Strength of Materials Undergraduate 1 Spring
Status Number of ECTS Credits Class Hours Per Week Total Hours Per Semester Language
Compulsory 5 2 + 2 88 English

Instructor Assistant Coordinator
Sanin Džidić, Assoc. Prof. Dr. Sanin- Džidić, Assist. Prof. Dr.
[email protected] no email

The subject of Statics deals with forces acting on rigid bodies at rest covering coplanar and non-coplanar forces, concurrent and non-concurrent forces, friction forces and hydrostatic forces. Much time will be spent finding resultant forces for a variety of force systems, as well as analyzing forces acting on bodies to find the reacting forces supporting those bodies. Also, students will be able to understand normal and shear stresses and combined stress, as well as the basic approach to design of beams and determination of the deflections. It is expected from students to develop critical thinking skills necessary to formulate appropriate approaches to problem solutions.

  1. Introduction to Statics, Principles of Statics; Fundamental Concepts
  2. Force vectors; Scalar and vectors; Vectors operation, Components of force; Coplanar forces; Cartesian vectors; Position vectors; Dot Vectors
  3. Equilibrium of particle; Conditions; Coplanar force system; Three-dimensional force system; Force system Result; Moment of force; Cross product, Varignon Theorem, Moment of couple
  4. Equlibrium of rigid body; Conditions, Equations of Equilibrium, Structural Analsis, Supports, Loadings; Reactions, Internal Forces
  5. Beams and Frames; Simply Supported Beam; Overhanging beam, Free Cantiliver
  6. Gerber Girder; Three-Hinged Arch, Trusses; Statically Determinate Trusses; Method of Joints; Method of Sections
  8. Friction, Sliding Friction, Rolling Friction
  9. Properties of Areas; Dimensions and Area; Centroid and Centroidal Axes; Moment of Inertia of a Rectangle; Compound Beams Sharing a Centroidal Axis; Hollow Beams Sharing a Centroidal Axis; Polar Moment of Inertia
  10. Stress and Strain; Normal Stress and Strain; Sign Convention; Shear Stress and Strain; Poisson
  11. Stresses in Beams; Bending Stress in Beams; Shear Stress in Beams;
  12. Combined Stresses; Tension + Bending Bending in Two Directions; Eccentric Loading
  13. Buckling of Columns; Types of Columns; Ideal Slender Columns
  14. Beam Design; Wide-Flange Steel Beam Design; Timber Beam Design

  1. Force composition and decomposition; Supports and support reactions; Concurrent system of forces

  1. Coplanar system of forces – parallel and arbitrary (system decomposition to subsystems); Equilibrium conditions
  2. Simply Supported Beam; Internal Forces
  3. Overhanging Beam; Static Diagrams
  4. Free Cantiliver Beam; Uniform Loads
  5. Beams with Gerber Girder; Three-Hinged Arch
  6. Mid-term
  7. Trusses; Method of Joints; Method of Sections
  8. Combined Static Systems
  9. Combined Static Systems
  10. Friction
  11. Spatial system of forces; Spatial structures; Equilibrium conditions
  12. Centre of gravity
  13. Area moments of inertia

  • Lectures
  • Practical Sessions
  • Excersises
  • Presentation
  • Seminar
  • Excurtion
  • Self Evaluation
  • Project
  • Assignments
  • Case Studies
  • Recitation
  • Demonstration
Description (%)
Method Quantity Percentage (%)
Midterm Exam(s)125
Final Exam145
+Attendance and activity10
Total: 90
Learning outcomes
  • Determine the resultant force for a planar and spatial force systems
  • Calculate and determine reactions for different statically determined systems
  • Calculate and determine the internal force diagrams
  • Solve statically determined complicated systems (by determining the reactions and drawing the diagrams of internal forces)
  • Find the center of mass for different areas and lines
  • Onouye, Barry: Statics and strength of materials for architecture and building construction / Barry Onouye with Kevin Kane, 2nd ed. Prentice-Hall Int (UK) Ltd, London,2002
  • Dietmar Gross, Werner Hauger, Jörg Schröder, Wolfgang A.Wall,
  • Nimal Rajapakse:Engineering Mechanics 1, Springer-Verlag, Berlin Heidelberg, 2009

ECTS (Allocated based on student) WORKLOAD
Activities Quantity Duration (Hour) Total Work Load
Lecture (14 weeks x Lecture hours per week)16348
Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)16232
Midterm Examination (1 week)326
Final Examination(1 week)122
Preparation for Midterm Examination 0
Preparation for Final Examination50
Total Workload: 88
ECTS Credit (Total workload/25): 4