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MS and PhD Structural Engineering

The course focuses on solution of problems in structural engineering by enlarging and deepening students’ knowledge so that they have a good grasp of new design concepts and technologies. The course contents encompass advance techniques for structural analysis, structural dynamics, reinforced concrete structures, and analysis and design of pre-stressed concrete structures.

Why join this program

Structural engineers combine science and art to design and build infrastructure that will resist natural and manmade forces. Buildings, bridges, stadiums and other civil facilities define the traditional core focus of structural engineers. At the periphery of the field, structural engineering extends more broadly to share common interests with mechanical, aerospace and naval engineering for the design of often large, complex systems including power plants, pipelines, aerospace vehicles and ships-submarines.


Course Title:            Advanced Structure Mechanics
Course Code:          CE-801
Credit Hours:           3-0
Pre Requisites:       Nil

Course Objectives:    This course continues to present a unified approach to the study of the behavior of structural members and the development of design and failure criteria. The course treats each type of structural member in sufficient detail so that the resulting solutions are directly applicable to real-world problems. New examples for various types of member and a large number of new problems are included. To facilitate the transition from elementary mechanics of structure to advanced topics, a review of the elements of mechanics of structures is presented along with appropriate examples and problems.


  1. Indicial Notation and Cartesian Tensors
  2. Motion of a Continuous Body (Kinematics)
  3. Stress Tensors
  4. Introduction to the Stress – Strain Relationship
  5. Solution of Problems in 2D Elasticity
  6. Linear Elastic Fracture Mechanics
  7. One Dimensional Rate-Independent Plasticity and Viscoplasticity

Recommended Books

         a.    BORES I “Advance Structural Mechanics” Sixth Edition (2002)
         b.    Y. C. Fung and Pin Tong, (2001):
                Classical and Computational Solid Mechanics, World Scientific Publishing Company, Singapore
         c.    S. Timoshenko, and J. N. Goodier, (1987):
               Theory of Elasticity, 3rd Edition, McGraw-Hill, New York.
         d    George E. Mase (1970)
                Schaum’s Outlines: Continuum Mechanics, Mc-Graw-Hill, New York.
         e.    Pisidhi Karsudhi (1990) Foundations of Solid Mechanics, Kluwer Academic Publishers
         f.    T. J. Lardner and R. R. Archer (1994)
               Mechanics of Solids: An Introduction, McGraw-Hill International         Editions, Singapore

Name and Qualifications of the faculty conducting the course:    Dr. Shaukat Ali Khan, PhD

Course Title:            Pre-stressed Concrete Structure
Course Code:          CE-804
Credit Hours:           3-0
Pre Requisites:       Undergraduate PRC Courses

a.    Introduction to Pre-stressed Concrete
b.    Losses in Pre-stressed Members
c.    Axial load Response of Pre-stressed Members
       (1)    Short Term & Long Term Response
d.    Profile of Post-Tensioned Tendons
e.    Flexural Response
       (1)    Strain Compatibility
       (2)    Force in Tendon Approach
f.    Elastic Un-cracked Response
       (1)    Short term and long term response
g.    Camber & Deflections
h.    Crack Width and stresses in cracked concrete
i.    Beam torsional capacity
j.    Hollow core slab
k.    Design for torsion, shear and moment
l.    Design of Guide-way Girder
m.    Special topics in pre stressed concrete
h.    Special Topics in Pre-stressed Concrete
Recommended Books
a.    Pre stressed concrete structures Collins & Mitchell
b.    Pre stressed concrete (Fundamental Approach) Edward G Nawy (4th         ED)
c.    PCI Design Hand Book & PCA Publications
Name and Qualifications of the faculty conducting the course:    Dr. Syed Ali Rizwan, PhD

Course Title:               Advance Concrete Design
Course Code:             CE-805
Credit Hours:              3-0
Pre Requisites:          Undergraduate PRC Course
Course Objective:     To introduce the latest and practical design problems and their application.


             a.    Estimation of stability co-efficient. Braced/Un braced Frame.
             b.    Basic Concepts or use of design aids
             c.    Grillage analysis and link force method
             d.    Yield link theory for slabs
             e.    Strut and Tie Models
              f.    Special topics
             g.    Seismic design of concrete structures

Recommended Books

            a.  James G. Macgregor (2005):
            Reinforced Concrete-Mechanics and Design, 4th  Edition, Prentice-Hall             International,     Inc.
            b.    Edward G. Nawy (2000):
            Reinforced Concrete A Fundamental approach, 4th  Edition, Prentice-Hall     International, Inc.
            c.   Arthur H. Nilson, David Darwin and Charkes W. Dolan (2005):
            Design of Concrete Structures, 13th  Edition, McGraw-Hill.
            d.   ACI Committee 318 (2002):
            Building Code Requirements for Structural Concrete (ACI 318-02) and Commentary (ACI 318R-02).
            e.   American Concrete Institute (2005):
            ACI Manual of Concrete Practice 2005.
            Finite Element Procedures, 2nd  Edition, Prentice-Hall Inc., Englewood Cliffs, New Jersey

Name and Qualifications of the faculty conducting the course:    Dr. Wasim Khaliq, PhD


Course Title:                Finite Element Methods
Course Code:              CE-808
Credit Hours:               3-0
Pre Requisites:           Advance Structural Mechanics

Course Objective:    To introduce the application of Finite Element Methods for the analysis of structure.

a.    Introduction to Approximate Solution Methods for Problems In Elasticity
b.    The Ritz Method
c.    Interpolation
d.    Weighted Residual Methods
e.    Applications of the Finite Element Method
f.    Isoperimetric Finite Elements
g.    Displacement-Based Bending Elements in Solid and Structural Mechanics
h.    Programming the Finite Element Method
Recommended Books
a.    D. V. Hutton, (2004):
Fundamentals of Finite Element Analysis, McGraw-Hill Inc., New York.
b.    R. D. Cook, D. S. Malkus, and M. E. Plesha, (2002):
Concepts and Applications of Finite Element Analysis, 4th Edition, John Wiley
and Sons, New York.
c.    O. C. Zienkiewicz and R. L. Taylor, (2000):
The Finite Element Method: Volume 1 The Basis, 5th  Edition, Butterworth
Heinemann, Oxford.
d.    K. J. Bathe, (1995):
Finite Element Procedures, 2nd  Edition, Prentice-Hall Inc., Englewood Cliffs,
New Jersey
Name and Qualifications of the faculty conducting the course:    Dr. Shadab Lodhi, PhD

Course Title:              Structure Dynamics
Course Code:            CE-809
Credit Hours:             3-0
Pre Requisites:         Matrix Structural Analysis

Course Objective:  
  A detailed review of the basics in structural dynamics is provided. The course begins with a basic overview of single-degree and multi-degree of freedom structural dynamics. The earthquake engineering section of the class touches upon pertinent application of structural dynamics. The course will provide participants with an understanding of the fundamental factors controlling the response of structures.

a.    Dynamics of Simple Structures (single-degree-of-freedom systems)

(1)    Equation of motion
(2)    Free vibrations
(3)    Response to harmonic force
(4)    Response to periodic force
(5)    Response to arbitrary dynamic force

b.    Multi-Degree-Of-Freedom Structures

(1)    Formulation of matrix equations of motion
(2)    Analysis of free vibrations
(3)    Modal analysis and forced vibrations

c.    Continuous Structures

(1)    Partial Differential equations of motions (for strings, bars, beams)
(2)    Modal analysis
(3)    Wave propagation analysis

d.    Earthquake Response

(1)    Response spectrum concept
(2)    Application to earthquake engineering

e.    Random Vibrations

(1)    Probability theory, random processes
(2)    Correlation and spectral density functions
(3)    Response to stationary random excitations
(4)    Crossing, peak distributions, extreme value analysis, evaluation of fatigue life

f.    Control of Dynamics Response

(1)    Overview of vibration control.
(2)    Tuned Mass Dampers
(3)    Active Control       
Recommended Books
a.    Raw W. Clough, and Joseph Penzien, (1993):
        Dynamics of Structures, McGraw-Hill, New York, 2nd  Edition.
b.    Anil K. Chopra, (1995):
Dynamics of Structures—Theory and Applications to Earthquake Engineering, Prentice Hall, New Jersey.
c.    Theodore R. Tauchert, (1974):
Energy Principles in Structural Mechanics, McGraw-Hill, ISE.
d.    D. E. Newland, (1993):
An Introduction to Random Vibrations, Spectral and Wavelet Analysis,     Longman, 3rd  Edition, London.
e.    Mario Paz, (1997):
Structural Dynamics: Theory and Computation, Chapman and Hall, 4th      Edition, New York.
Name and Qualifications of the faculty conducting the course:    Dr. Shaukat Ali Khan, PhD