Pokhara University Faculty of Science and Technology
Course Code: STR 252 (3 Credits) Full Marks: 100
Course title: Structural Analysis I (3-2-1) Pass Marks: 45
Nature of the Course: Theory & Practical Total Lectures: 45 hours
Level: Bachelor Program: BE
Course Description
This course provides the basic concept and knowledge of structural analysis of statically determinate structure. It enables students to analyze statically determinate beam, frame, truss, arch and cable both by manual calculation as well as computer simulation.
General Objectives
The general objectives of this course are:
To equip the students with the fundamental concept structural analysis and its practical application.
To familiarize the students with strain energy, virtual work, slope, deflection, influence line diagram, arch, cable and space truss.
Methods of Instruction
Lecture, Tutorial, Discussion, Readings and Practical works
Contents in Detail
Specific Objectives
Contents
Know the types of structures, linearity and non-linearity of structural analysis, degree of static and kinematic indeterminacy, understand the role of structural analysis in structural engineering.
Unit I: Introduction (3 hrs)
Determine the deflection of beams, frames and truss of the structure by work-energy method.
Unit II: Deflection of Beams, Frames and Trusses: Work-Energy Methods (12 hrs)
Introduction to structural analysis
Role of structural analysis in structural engineering projects
Types of structures and structural elements
Stability and determinacy of structures
Approaches of structural analysis
Linearity and non-linearity in structural analysis
Degree of static and kinematic indeterminacy
Strain energy and complementary strain energy; work and complementary work
Strain energy due to gradually, suddenly applied direct load: dynamic multipliers
Strain energy due to axial force, shear force, bending moment and torsion
Displacement of beam, frame and truss by strain energy method
Principle of virtual work
Determine the slope and deflection of beams by various geometric methods.
Unit III: Slope and Deflections of Beams: Geometric Methods (6 hrs.)
Understand the importance of influence line diagram for analysis of structure, determine reaction, shear force, bending moment at particular point and absolute maximum response of structure by influence line method
Unit IV: Influence Lines for Simple Structures (9 hrs.)
Understand the uses of the statically determinate circular and parabolic arch.
Solve problems related to electrostatics statically determinate arches by analytical and influence line diagram method.
Unit V: Statically Determinate Arches (6 hrs.)
Understand the importance of cable structures, analysis of parabolic cable structures and three-hinged stiffening girder
Determine shear force and bending moment of three-hinged stiffening girder by influence line diagram
Unit VI: Cable Structures (6 hrs.)
Deflection of beams, frames and trusses by virtual work method
Betti's law and Maxwell's law of reciprocal deflections
Castigliano's theorems and application for beams and plane frames
Double integration method
Macaulay's method
Superposition method
Conjugate beam method
Moment area method
Conjugate-beam method
Influence lines for statically determinate beams
Influence lines for statically determinate trusses
Influence lines for girders with floor systems
Response at a particular location due to a single moving concentrated load
Response at a particular location due to a uniformly distributed live load
Response at a particular location due to a series of moving concentrated loads
Absolute maximum response
Types of arches
Three-hinged arches with support at same and different level
Determination of support reactions, normal thrust, radial shear and bending moment of circular and parabolic arches
Axial force, shear force and bending moment diagrams in three hinged parabolic arches
Influence line diagrams for reactions, bending moments, radial shear, normal thrust
Maximum internal forces (axial force, shear force and bending moment) in three hinged parabolic arches
Introduction to cable structures
Elements of a simple suspension bridges
Analysis of parabolic cables
Analysis of three-hinged stiffening girder
Influence line diagrams and determination of shear forces and bending moments for three-hinged
approach.
stiffening girder
Know the practical application of statically determinate space truss Determine the member force of statically determinate space truss
Unit VII: Statically Determinate Space Trusses (3 hrs.)
Introduction to simple space trusses
Types of supports
Determinacy and stability
Analysis of space truss by tension coefficient method
Note: The figures in the parentheses indicate the approximate periods for the respective units.
List of Tutorials
The following tutorial activities of 2 hours/ week per group of maximum 24 students should be conducted to cover all the required contents of this course.
S.N.
Tutorials
1
Determination of static and kinematic indeterminacy of various structures.
2
Solving and analyzing the problems related to work-energy method.
3
Determination of slope and deflection of different types of beam by various
geometric methods.
4
Determination of angle of acceptance for working of optical fiber and finding population of atoms in different energy states.
Solving the problems of beam and truss structures by influence line diagram
method.
5
Solving the problems of three hinged parabolic and circular arch both analytical
and influence line diagram method
6
Solving the problems related to suspension cable bridge
7
Determination of support reactions and member forces of space truss.
Practical Works (Any Eight)
S.N.
Practical works
1
To determine the deflection of beam experimentally and verify the result by
computer simulation.
2
To determine the displacement of frame experimentally and verify the result by
computer simulation.
3
To determine the displacement of truss experimentally and verify the result by
computer simulation.
4
To measure the effect of Influence lines for beam experimentally and verify the
result by computer simulation.
5
To determine the horizontal thrust of three-hinged arch experimentally and verify
the result by computer simulation.
6
To determine the tension in cable of suspension bridge by experimentally and
verify the result by computer simulation.
7
To determine the support reactions and member forces of space truss by computer
simulation.
Evaluation system and Students’ Responsibilities
Evaluation System
In addition to the formal exam(s), the internal evaluation of a student may consist of quizzes, assignments, lab reports, projects, class participation, etc. The tabular presentation of the internal evaluation is as follows.
Internal Evaluation
Weight
Marks
External Evaluation
Marks
Theory
30
Semester-End examination
50
Attendance & Class Participation
10%
Assignments
20%
Presentations/Quizzes
10%
Internal Assessment
60%
Practical
20
Attendance & Class Participation
10%
Lab Report/Project Report
20%
Practical Exam/Project Work
40%
Viva
30%
Total Internal
50
Full Marks: 50 + 50 = 100
Student’s Responsibilities
Each student must secure at least 45% marks separately in internal assessment and practical evaluation with 80% attendance in the class in order to appear in the Semester End Examination. Failing to get such score will be given NOT QUALIFIED (NQ) to appear the Semester-End Examinations. Students are advised to attend all the classes, formal exam, test, etc. and complete all the assignments within the specified time period. Students are required to complete all the requirements defined for the completion of the course.
Prescribed Books and References Text Books
Kassimali, A. (2009). Structural Analysis. Cengage Learning.
Norris, C. H., & Wilbur, J. B. (1960). Elementary Structural Analysis. McGraw-Hill.
References
Bhavikatti, S. S. (2011). Structural Analysis I. New Delhi: Vikas Publishing House Pvt. Ltd.
Darkov, A. & Kuznetsov, V. (2011). Structural Mechanics, Moscow: Mir Publishers.
Hibbeler, R.C. (2009). Structural Analysis. Pearson.
Jain, A.K. (2012). Strength of Materials and Structural Analysis (2012). Roorkee: Nem Chand & Bros.
Reddy, C.S. (1999). Basic Structural Analysis. Tata McGraw-Hill Education.