Structural Analysis II

 

Pokhara University

Faculty of Management Studies

Course Code: STR 314 (3 Credits)

Course Title: Structural Analysis II (3 – 2 – 1)

Nature of the Course: Theory/Practice/Theory & Practice

Year, Semester: 3rd, V

Level: Bachelor

1. Course Description

Full marks: 100

Pass marks: 45

Time per period: 1 hour

Total periods: 45

Program: BE

In this course, students will apply various methods of structural analysis and explore the fundamental theory and concepts operating and validating existing computer software used for the analysis of complex and indeterminate structural systems using analytical and graphical methods. Students will also apply a comprehensive knowledge of the theoretical framework underpinning linear-elastic analysis of various types of structures (e.g., statically indeterminate trusses, beams, and frames) encountered in civil engineering design work. Students will be introduced to the principles of plastic analysis. The skills and knowledge gained in this course are essential for the design of indeterminate structures. All chapters consist of graphical methods for internal forces.

2. General Objectives

• To enhance the knowledge skills of the students to describe the behavior of indeterminate structures
• To make students able to analyze indeterminate trusses, beams, frames, and arches with various analytical and graphical methods
• To acquaint the students with portraying the plastic behavior of structures, applying Finite Element Method for analysis of structures, graphical methods, and drawing of BMD and shear force

3. Contents in Detail

Specific Objectives	Contents
Identify complexity and number of degree of redundancy in both aspects for static as well as in kinematic indeterminancy.	Unit 1: Indeterminate and Complex Structures (2 hrs.) Types of indeterminate structure Introduce various types of indeterminate structure applicable to real structures Brief outline of various methods for various types of indeterminate structures applying for analysis Static (internal and external) and kinematic indeterminancy for 2D framed structures Static (internal and external) and kinematic indeterminancy for 2D plate structures and 3D framed structures
Develop competency to analyze indeterminate structures using force method and draw internal force diagram.	Unit 2: Consistent Deformation Method (8 hrs.) General Principle of Force, Virtual Work, Unit load Method Appropriate method of creating primary (determinate) scheme Developing Compatible flexibility equations for: Beams and trusses 2D frames Effect of temperature, adjustment, and settlement of supports Derivation of three moment equation for continuous beam
Describe the concept of displacements occurred in beams by various loading, rotational, and translation effects in beam and frame.	Unit 3: Displacement Method; Slope Deflection Method (5 hrs) Derivation of slope deflection equations Using conjugate beam method Using Force method Fixed end moments due to loads, rotation, and settlement of supports Application of rotational and translation effect Modification to slope deflection equation for fixed-pinned; pinned-pinned members Application for continuous beam with necessary internal force diagram Application for beams in elastic foundation Effect of temperature and settlement of supports in continuous beam Application in 2D portal frame
Describe the concept of moment distribution method as a displacement method.	Unit 4: Displacement Method; Moment Distribution Method (4 hrs) Application and principles of Moment Distribution method Carry over moments Stiffness and distribution factors for beam and 2D frames Application of rotational and translation effect Modification to slope deflection equation for fixed-pinned; pinned-pinned members Application for continuous beam including support settlements, rotational and temperature effects in continuous beams Application for 2D frames for non-sway frames Application for 2D frames for side sway frames
Describe the concept of stiffness matrix and modified displacement method.	Unit 5: Displacement Method; Stiffness Matrix Method (9 hrs) Relation between flexibility and stiffness coefficients and matrix Degree of freedom and coordinates Force-displacement relation Compatibility equation in matrix form Application of Stiffness matrix method for beams and frames with or without internal hinges Development of stiffness matrices for beam elements, shape functions for beam elements using direct stiffness, FDM, and FEM approaches Derivation of Load vectors and assembling stiffness matrix Boundary conditions and creating modified stiffness matrix as per support conditions Application of analysis in continuous and continuous overhang beam and frames
Describe the relation and use of force and stiffness matrix method.	Unit 6: Displacement Method; Mixed Method (4 hrs) Selection of Force and stiffness matrix method (Degree of freedom and redundancies, translation and rotational movements of supports) Application in planar trusses and frames Comparison of both methods Application for continuous beams and 2D frames
Describe the analysis for structures subjected to moving loads.	Unit 7: Influence Lines (6 hrs) Influence lines for bending moments, shear force, and deflections Application of IL diagrams in a real structure Application to arches, frames, and trusses
Describe the behavior and principles of plastic analysis in the indeterminate structures.	Unit 8: Plastic Analysis (7 hrs) Principles of Plastic Analysis Application in beams, frames, and structures (Theory) Introduction to Limit state method Application in frames and real structures Simple, continuous, and fixed beams General procedure for analyzing plastic collapse mechanisms

4. Textbooks and References

Textbooks:

• Structural Analysis: A Unified Classical and Matrix Approach by Amin Ghali and Adam Neville
• Structural Analysis: Theory and Applications by A. K. Jain
• Structural Analysis by Russell C. Hibbeler

References:

• Structural Analysis by Stephen P. Timoshenko and James M. Gere
• Structural Analysis by C. K. Wang
• Structural Analysis and Design of Tall Buildings by Bungale S. Taranath