Semester II

MSE1101 APPLIED MATHEMATICS

CE655 ADVANCED CONCRETE STRUCTURES


The nature of concrete, stress-strain relationships of concrete, stress-strain relationships of reinforcing steel, stress block parameters. Failure criteria for concrete.


Behaviour of concrete flexural members, general equations for calculation of moment capacities at ultimate limit state and at limit state of local damage, flexural rigidity, calculation of deflection, redistribution of moments, design examples.


Axially loaded compression members combines axial load and uniaxial bending. Interaction diagrams, combined axial load and biaxial bending, slender compression members, design example using I.S.456-2000 .


Shear cracking of ordinary reinforced concrete members, web reinforcement, design examples, shear in tapered beams. Development length of reinforcement, anchorage. Significance of Torsion, Torsional resistance of concrete beams, reinforcement for torsion, design examples.


General principles, effective depths, detailing of reinforcement, design of main reinforcement, design of transverse reinforcement, conditions at loads and at supports. yield line theory.


  1. Varghese P.C, Design of Reinforced Concrete Structures, Prentice hall of India.

  2. Krishnamurthy, K.T, Gharpure S.C. and A.B. Kulkarni – Limit design of reinforced concrete structures, Khanna Publishers, 1985.



CE656 ADVANCED STEEL STRUCTURES


Design of members subjected to lateral loads and axial loads - Principles of analysis and design of Industrial buildings and bents - Crane gantry girders and crane columns - Bracing of industrial buildings and bents.


Analysis and design of steel towers, trestles and masts - Design of industrial stacks - Self supproting and guyed stacks lined and unlined - Stresses due to wind and earthquake forces - Design of foundations.


Introduction - Shape factors - Moment redistribution Static, Kinematic and uniqueness theorems - Combined mechanisms - Analysis Portal frames. Method of plastic moment distribution - Connections, moment resisting connections.


Types of cross sections - Local buckling and post buckling - Design of compression and Tension members - Beams - Deflection of beams - Combined stresses and connections.


Types of connections, Design of framed beam connections, Seated beam connection, Unstiffened, Stiffened Seat connections, Continuous beam – to - beam connections and continuous beam–to–column connection both welded and bolted.


  1. Punmia B.C, Comprehensive Deign of Steel structures, Laxmi publications Ltd, 2000.

  2. Arya, A.S, Design of Steel Structures, Newchand & bros, Roorkee, 1982


CE657 FINITE ELEMENT ANALYSIS


Differential equilibrium equations - strain displacement relation - linear constitutive relation - special cases. Principle of stationary potential energy - application to finite element methods. Some numerical techniques in finite element Analysis


Displacement models - convergence requirements. Natural coordinate systems - Shape function. Interpolation function. Linear and quadratic elements - Lagrange & Serendipity elements. Strain displacement matrix - element stiffness matrix and nodal load vector


Two dimensional isoparametric elements - Four noded quadrilateral elements - triangular elements. Computation of stiffness matrix for isoparametric elements - numerical integration (Gauss quadrature) Convergence criteria for isoparametric elements.

Assemblage of elements – Direct stiffness method. Special characteristics of stiffness matrix - Boundary condition & reaction - Gauss elimination and LDLT decomposition. Basic steps in finite element anlaysis.


Analysis of framed Structures : 2D – truss element . 2D - beam element. Analysis of plate bending: Basic theory of plate bending - displacement functions - plate bending Elements. Plane stress and plane strain analysis: Triangular elements - Rectangular elements


  1. Krishnamoorthy, C.S, Finite Element Analysis Theory & Programming, McGraw- Hill

  2. Desai C.S and Abel, J.F., Introduction to the finite element Method, Affiliated East west Press Pvt. Ltd. NewDelhi 1997.


CE658 CAD IN STRUCTURAL ENGINEERING


Computer Aided Drafting - Basic 2D objects – line, polyline, circle, ellipse – Dimensioning – Preparation of plan, elevation and section drawings of simple structural objects – Introduction to 3D - DBMS concepts - Civil Eng. Databases – Data entry & Reports. Spreadsheet concepts – Worksheet calculations in Civil Eng, - Regression & Matrix Inversion. Development of C programs to solve problems using numerical techniques

  1. Roots of an equation using Newton – Raphson method.

  2. Solution of linear simultaneous equations using Gauss elimination.

  3. Matrix inversion using GJ method

  4. Linear regression line of given points.

  5. Curve fitting using Polynomial Regression.

  6. Eigen value extraction power method


Computer methods of structural analysis - Finite Element programming - Analysis through application packages. Design of steel and RC Structural elements.


  1. Rajaraman, V., Computer Oriented Numerical Methods, Prentice – Hall of India.