Structural Analysis I

Loads and ASCE 7 load combinations, determinate beams, trusses, frames, cables and arches, influence lines and moving loads (including the HL-93 truck), deflections by moment-area and virtual work, and an introduction to the force method.

CIV-224 Year 2 3 credits 12 lessons · 5 h 8 min

Offered by HSM University · Civil Engineering

This is the American version of this course. See the Canadian version.

What you'll learn

  • Idealize real structures as line models with appropriate supports and joints, and trace gravity and lateral load paths using tributary areas.
  • Determine dead, live and snow loads and apply ASCE 7 strength design load combinations, including uplift checks with 0.9D.
  • Classify plane structures as stable or unstable and determinate or indeterminate, and find reactions, including structures with internal hinges.
  • Analyze plane trusses by the method of joints and the method of sections, and identify zero-force members.
  • Draw shear and bending moment diagrams for determinate beams under point, uniform and linearly varying loads, including overhangs.
  • Analyze determinate frames, including three-hinged portals, and draw axial, shear and moment diagrams on the tension side of each member.
  • Analyze cables with the general cable theorem and three-hinged arches, and explain funicular shapes and thrust.
  • Construct influence lines for beams and trusses by equilibrium and by the Müller-Breslau principle, and use them to place live loads.
  • Find the maximum moment and shear caused by moving load groups such as crane wheels and the AASHTO HL-93 design truck.
  • Compute beam slopes and deflections by double integration, the moment-area theorems and the conjugate beam method, and check serviceability limits.
  • Compute displacements of trusses, beams and frames by virtual work, including temperature and fabrication effects.
  • Analyze simple indeterminate beams by the force method, and explain the effects of continuity, settlement and temperature.

Course content

12 lessons · 5 h 8 min total · final exam

  1. 1 Structural systems, load paths and idealization 23 min · quiz
  2. 2 Design loads and load combinations 26 min · quiz
  3. 3 Stability, determinacy and support reactions 28 min · quiz
  4. 4 Plane trusses: joints, sections and zero-force members 24 min · quiz
  5. 5 Shear and moment diagrams for determinate beams 26 min · quiz
  6. 6 Determinate frames: axial force, shear and moment 26 min · quiz
  7. 7 Cables and arches 25 min · quiz
  8. 8 Influence lines for beams and trusses 24 min · quiz
  9. 9 Moving loads: crane wheels and design trucks 22 min · quiz
  10. 10 Deflections by integration and moment-area 29 min · quiz
  11. 11 Deflections by virtual work 29 min · quiz
  12. 12 Introduction to indeterminate structures: the force method 26 min · quiz
  13. E Final exam 20 questions

Requirements

Recommended background. You can start any course at any time.

Description

Loads and ASCE 7 load combinations, determinate beams, trusses, frames, cables and arches, influence lines and moving loads (including the HL-93 truck), deflections by moment-area and virtual work, and an introduction to the force method.

Part of the Engineering stream, typically taken in year 2.