Structural Analysis II
Indeterminate beams, frames and trusses by the force method, slope-deflection and moment distribution, with settlement and temperature effects, approximate frame analysis, influence lines by Müller-Breslau, the matrix stiffness method programmed in Python, and checked software models with ASCE 7 load combinations.
CIV-321 Year 3 3 credits 12 lessons · 4 h 33 min ▶ Video lessons coming soon
Offered by HSM University · Civil Engineering
This is the American version of this course. See the Canadian version.
What you'll learn
- Determine the degree of static and kinematic indeterminacy of beams, trusses and frames, and explain how continuity and stiffness change the distribution of forces.
- Analyze continuous beams with several redundants by the force method, using flexibility matrices, and identify the governing live load patterns.
- Apply the force method to rigid frames and to trusses with redundant members, using virtual work to compute the flexibility coefficients.
- Compute the forces caused by support settlement, elastic supports, temperature change and lack of fit in indeterminate structures.
- Analyze continuous beams by the slope-deflection method, including pinned ends, overhangs and support settlement.
- Analyze braced and unbraced frames by slope-deflection, including sway, story shear equations and the effect of base fixity.
- Analyze continuous beams and frames by moment distribution, including modified stiffness and the two-stage sway correction.
- Estimate frame forces by approximate methods, including the portal and cantilever methods, and judge when their assumptions hold.
- Construct influence lines for indeterminate beams by the Müller-Breslau principle and use them to place live and moving loads.
- Formulate and assemble truss element stiffness matrices, solve for joint displacements, and recover member forces and reactions.
- Build beam and plane frame stiffness models with equivalent joint loads, transformations, releases and prescribed displacements, and program them in Python.
- Model structures in analysis software, combine load cases using the ASCE 7 load combinations, and verify results with statics and hand methods.
Course content
12 lessons · 4 h 33 min total · final exam
- 1 Indeterminate structures and how to analyze them 23 min · quiz
- 2 The force method for beams 23 min · quiz
- 3 The force method for frames and trusses 25 min · quiz
- 4 Compatibility with settlements, temperature and misfit 25 min · quiz
- 5 Slope-deflection for beams 22 min · quiz
- 6 Slope-deflection for frames with sway 23 min · quiz
- 7 Moment distribution 20 min · quiz
- 8 Approximate methods and influence lines for indeterminate structures 24 min · quiz
- 9 Matrix stiffness method I: trusses 21 min · quiz
- 10 Matrix stiffness method II: beams 22 min · quiz
- 11 Matrix stiffness method III: plane frames and assembly 23 min · quiz
- 12 Modeling with structural software and checking results 22 min · quiz
- E Final exam 20 questions
Requirements
Recommended background. You can start any course at any time.
Description
Indeterminate beams, frames and trusses by the force method, slope-deflection and moment distribution, with settlement and temperature effects, approximate frame analysis, influence lines by Müller-Breslau, the matrix stiffness method programmed in Python, and checked software models with ASCE 7 load combinations.
Part of the Engineering stream, typically taken in year 3.