Course Introduction
Theory of Structures - I
Course Outlines
 Introduction to Structural Analysis
 Definition
 Types of Structures
 Structural Idealization
 Loads
 Determinacy, Indeterminacy and Stability
of Structures
Course Outlines
 Analysis of Determinate trusses
 Common types of trusses
 Classification of coplanar trusses
 Method of joints
 Method of sections
 Graphical method for analysis
Course Outlines
 Analysis of Statically determinate Rigid jointed
plane Frame
 Determinacy and stability of plane frames
 Analysis (sign convention)
 Shear and bending moment diagrams of frames
 Deflection & Rotation
 Deflection diagrams and elastic curves
 Energy methods to compute deflections
 Castigliano’s theorem for trusses, beams and frames
 Principle of virtual work for trusses, beams and frames
Course Outlines
 Moving loads
 Influence lines for statically determinate beams and
paneled girders
 Influence lines for shear, reaction, and bending moment
for beams and paneled girder
 Influence lines for axial forces in trusses
 Calculation of maximum stress functions i.e., reaction
shear and bending moment in a simply supported beam
due to series of moving loads.
 Absolute maximum bending moment and its evaluation
Course Outlines
 Arches, Cables and Suspension Bridges
 Three hinged parabolic and circular arches
 Influence line for 3-hinged arches
 Introduction to cables and suspension bridges
 Analysis of indeterminate beams by three
moment equation
Books
 Structural Analysis
by R.C. Hibbeler
 Analysis of Indeterminate Structures
by Chu Kia Wang
 Structural Analysis
by Alexender Chajes
Practical & Assignments
 Practical copies would be prepared in time
and presence of practical note book must be
ensured in each practical.
 All individual assignments must be submitted
well in time. Late Assignment will be given
less marks and no assignment will be
submitted after two days of due date.
List of Assignments
 Analysis of Determinate trusses
 Analysis of Statically determinate Rigid jointed
plane Frame
 Deflections by Unit Load Method
 Deflections by Castigliano’s Theorem
 Influence Line Diagrams
 Arches, Cables and Suspension Bridges
 Analysis of indeterminate beams by three moment
equation
List of Subject Projects
1. History of Various types of Structural
Systems
2. History of Various types of Trusses
3. History of Various types of Arches
4. Current Use of Trusses
5. Current Use of Arches
List of Subject Projects
6. Comparison of Load Bearing and Frame Structures
(Construction, Load Distributions)
7. Method of Joints for Trusses (History to Current
Use)
8. Method of Joints for Trusses (Developing a
Computer Program)
9. Method of Sections for Trusses (History to Current
Use)
10. Method of Sections for Trusses (Developing a
Computer Program)
List of Subject Projects
11. Graphical Method of Truss Analysis (History and
Current Use)
12. Shear force Concept (Historical Evolution and
Current Use)
13. Bending Moment Concept (Historical Evolution
and Current Use)
14. Structural Determinacy of Trusses and Frames
(History and Current Form)
15. Castigliano’s Theorem (History of Author and
Method along with proof)
List of Subject Projects
16. Castigliano’s Theorem (Implementation on Existing
Structures Trusses)
17. Castigliano’s Theorem (Implementation on Existing
Structures Beams and Frames)
18. Unit Load Method (History of Author and Method
along with proof)
19. Unit Load Method (Implementation on Existing
Structures; trusses)
20. Unit Load Method (Implementation on Existing
Structures; Beams and Frames)
List of Subject Projects
21. Influence Line Diagrams (History, Importance and
Current Use)
22. Influence Line Diagrams (for Axial Forces in
Trusses)
23. Influence Line Diagrams (for shear, reactions and
bending moment for beams and paneled girders)
24. Absolute maximum bending moment and its
evaluation under several moving loads
25. Three Hinged Parabolic Arch (History, hinge
introduction, derivations and current use)
List of Subject Projects
26. Three Hinged Circular Arch (History, hinge
introduction, derivations and current use)
27. Influence Lines for Three Hinged Arches
28. Cables (History, Ancient to current use)
29. Suspension Bridges (Case History of
construction of specific bridge)
30. Three Moment Equation (Development
History and Proof)
Sessional Marks Distribution
 Assignments 20%
 Subject Project 20%
 Quizzes 20%
 Internal Viva 15%
 Practical Note Book 15%
 Class Participation 10%
Class Discipline
 The person who will not be serious will be treated
accordingly
 Keep in mind the time of lecture, otherwise more
than 10 minutes late comers will not allow to come
in class
 Non serious students will be treated strictly
 Mobile phones will be kept silent

Course Introduction (Theory of Structures - I)

  • 1.
  • 2.
    Course Outlines  Introductionto Structural Analysis  Definition  Types of Structures  Structural Idealization  Loads  Determinacy, Indeterminacy and Stability of Structures
  • 3.
    Course Outlines  Analysisof Determinate trusses  Common types of trusses  Classification of coplanar trusses  Method of joints  Method of sections  Graphical method for analysis
  • 4.
    Course Outlines  Analysisof Statically determinate Rigid jointed plane Frame  Determinacy and stability of plane frames  Analysis (sign convention)  Shear and bending moment diagrams of frames  Deflection & Rotation  Deflection diagrams and elastic curves  Energy methods to compute deflections  Castigliano’s theorem for trusses, beams and frames  Principle of virtual work for trusses, beams and frames
  • 5.
    Course Outlines  Movingloads  Influence lines for statically determinate beams and paneled girders  Influence lines for shear, reaction, and bending moment for beams and paneled girder  Influence lines for axial forces in trusses  Calculation of maximum stress functions i.e., reaction shear and bending moment in a simply supported beam due to series of moving loads.  Absolute maximum bending moment and its evaluation
  • 6.
    Course Outlines  Arches,Cables and Suspension Bridges  Three hinged parabolic and circular arches  Influence line for 3-hinged arches  Introduction to cables and suspension bridges  Analysis of indeterminate beams by three moment equation
  • 7.
    Books  Structural Analysis byR.C. Hibbeler  Analysis of Indeterminate Structures by Chu Kia Wang  Structural Analysis by Alexender Chajes
  • 8.
    Practical & Assignments Practical copies would be prepared in time and presence of practical note book must be ensured in each practical.  All individual assignments must be submitted well in time. Late Assignment will be given less marks and no assignment will be submitted after two days of due date.
  • 9.
    List of Assignments Analysis of Determinate trusses  Analysis of Statically determinate Rigid jointed plane Frame  Deflections by Unit Load Method  Deflections by Castigliano’s Theorem  Influence Line Diagrams  Arches, Cables and Suspension Bridges  Analysis of indeterminate beams by three moment equation
  • 10.
    List of SubjectProjects 1. History of Various types of Structural Systems 2. History of Various types of Trusses 3. History of Various types of Arches 4. Current Use of Trusses 5. Current Use of Arches
  • 11.
    List of SubjectProjects 6. Comparison of Load Bearing and Frame Structures (Construction, Load Distributions) 7. Method of Joints for Trusses (History to Current Use) 8. Method of Joints for Trusses (Developing a Computer Program) 9. Method of Sections for Trusses (History to Current Use) 10. Method of Sections for Trusses (Developing a Computer Program)
  • 12.
    List of SubjectProjects 11. Graphical Method of Truss Analysis (History and Current Use) 12. Shear force Concept (Historical Evolution and Current Use) 13. Bending Moment Concept (Historical Evolution and Current Use) 14. Structural Determinacy of Trusses and Frames (History and Current Form) 15. Castigliano’s Theorem (History of Author and Method along with proof)
  • 13.
    List of SubjectProjects 16. Castigliano’s Theorem (Implementation on Existing Structures Trusses) 17. Castigliano’s Theorem (Implementation on Existing Structures Beams and Frames) 18. Unit Load Method (History of Author and Method along with proof) 19. Unit Load Method (Implementation on Existing Structures; trusses) 20. Unit Load Method (Implementation on Existing Structures; Beams and Frames)
  • 14.
    List of SubjectProjects 21. Influence Line Diagrams (History, Importance and Current Use) 22. Influence Line Diagrams (for Axial Forces in Trusses) 23. Influence Line Diagrams (for shear, reactions and bending moment for beams and paneled girders) 24. Absolute maximum bending moment and its evaluation under several moving loads 25. Three Hinged Parabolic Arch (History, hinge introduction, derivations and current use)
  • 15.
    List of SubjectProjects 26. Three Hinged Circular Arch (History, hinge introduction, derivations and current use) 27. Influence Lines for Three Hinged Arches 28. Cables (History, Ancient to current use) 29. Suspension Bridges (Case History of construction of specific bridge) 30. Three Moment Equation (Development History and Proof)
  • 16.
    Sessional Marks Distribution Assignments 20%  Subject Project 20%  Quizzes 20%  Internal Viva 15%  Practical Note Book 15%  Class Participation 10%
  • 17.
    Class Discipline  Theperson who will not be serious will be treated accordingly  Keep in mind the time of lecture, otherwise more than 10 minutes late comers will not allow to come in class  Non serious students will be treated strictly  Mobile phones will be kept silent