CE 302: Structural Analysis - Fall 2023

• To learn fundamentals of structural analysis.
• To develop simple computer programs to perform structural analysis.

• know how to analyse simple structures by hand
• know how to use computer programming to analyze large structural systems
• understand linear analysis of structures

• Review of some concepts from Mechanics of Solids.
• Degrees of indeterminacy (static and kinematic).
• Types and analysis of trusses, cables, arches, beams, columns and frames.
• Specific methods to be covered: moment area theorem; conjugate beam method; principle of virtual work; energy method; Castigliano’s theorems; unit-load and unit-displacement theorems; reciprocal theorems; Betti's and Maxwell's theorem; method of consistent deformations; slope-deflection method; displacement based methods; moment distribution method; column analogy method
• Influence lines; Muller-Breslau's principle
• Matrix method of analysis (if time permits)

• Structural Analysis 5th edition - Devdas Menon, Narosa Publishing House Pvt. Ltd.

• Structural Analysis - R.C. Hibbeler, Prentice Hall.
• Structural Analysis - Aslam Kassimali, Cengage Learning.
• Matrix Structural Analysis - W. McGuire, R.H. Gallagher, R.D. Ziemian (available here: http://www.mastan2.com/textbook.html).

• Simple computer codes for analysis will be developed in Python.
• SAP2000 will be used for more complicated analyses.
• Another useful software tool is MASTAN2 (http://www.mastan2.com/)

• Recorded lectures covering most of the syllabus are available here.
• Notes used for the video lectures can be downloaded from this link.
• You may use these to revise/learn in advance certain topics.

• Curiosity about how structural systems (buildings, bridges, dams, etc.) are designed – analysis is essential for design.
• Good background of solid mechanics and any programming language.

• Please be considerate about everyone's time.
• In all emails pertaining to this course, please have "CE302" in the subject line.
  • (note that there is no space or hyphen or anything between CE and 302)

Cheating (in assignments/quizzes/exams) is unacceptable. It is expected that this will never happen and everyone will uphold the honor code.

All delays beyond the defined deadlines will attract reduction in marks as per the following curve. The reduction factor, \(R\) will be multiplied to the obtained marks. Mathematically, it is given by: \(R = \exp(-D^2)\), where \(D\) is the total delay in days (will be counted hourly, i.e. fractional days are possible).

Following will be the weightage of different components of assessment

• Assignments will involve detailed analysis and hands-on questions.
• Expect one assignment per week.
• Spot quizzes will primarily be objective type, primarily based on concepts and codes. Expect one quiz per week.
• Exam will primarily be subjective type. It may be in-class or take-home.

It is important to develop the habit of self-learning. A number of reading assignments and self-exercises will be given during the course. These will not be formally graded and it will be expected that students will go through them on a regular basis on their own.

• Introduction. Discussion on mechanics of solids.

• Idealization of structural members. Support reactions. Stability and determinacy.

• Download Tutorial 1

• Principle of virtual work for computing support reactions.

• Download Tutorial 2
• Assignment 1 (due 21 August)

• Independence Day.

• Analysis of trusses.

• Download Tutorial 3
• Assignment 2 (due 28 August)
• Partial solution to coding problem: Python code, Input file

• Internal forces in beams. Shear force and bending moment diagrams.

• Deflection of beams by direct integration. Singularity functions.

• Download Tutorial 4
• Assignment 3 (due 11 September)

• Moment area theorems.

• Moment area theorems.

• Sep 06 from 16:30 - 18:00 in AB 3/215.
• Exam 1 solutions
• Highest: 74, Average: 32, Median: 30, Range: 71

• Janmashtami (Vaishnavi)

• Download Tutorial 5
• Assignment 4 (due 18 September)

• Conjugate beam method.

• Energy and complimentary energy.
• Castigliano's theorems. Energy methods.
• Quiz 1.

• Download Tutorial 6
• Assignment 5 (due 25 September)

• Use of energy methods for structural analysis.

• Principle of virtual work. Unit load and displacement methods.
• Unit load and displacement methods.

• Download Tutorial 7
• Assignment 6 (due 2 3 October)

• Maxwell's and Betti's theorems.
• Theorem of three moments.

• Milad-un-Nabi (Id-e-Milad)

• Mahatma Gandhi's Birthday
• Assignment 7 (due 9 October)

• Theorem of three moments.

• Generalization of force-based methods. Flexibility matrix.

• Download Tutorial 8
• Assignment 8 (due 16 October)

• Slope-deflection equations.

• Download Tutorial 9

• Slope-deflection equations.

• Slope-deflection equations.

• Download Tutorial 10
• Assignment 9 (due 6 November)

• Moment distribution method.

• Moment distribution method.

• Download Tutorial 11
• Assignment 10 (due 13 November)

• Moment distribution method.

• Moment distribution method.

• Session on SAP2000 conducted on Nov 09.

• Influence line diagrams.

• Session on SAP2000.

• Download Tutorial 12
• Assignment 11 (not due)

• Muller-Breslau's principle.

• Cables and arches.

• Nov 30 from 14:00 - 15:30 in AB 3/216.