MG University B.Tech Syllabus S8 Civil
Module 1
Introduction-problems in nature-steady state problem-dynamic problem-stability problem (Eigen value problem)-introduction to dynamic loading-D’Alembert’s equation of equilibrium-inertia force-effect of damping-Hamilton’s principle.
Introduction-problems in nature-steady state problem-dynamic problem-stability problem (Eigen value problem)-introduction to dynamic loading-D’Alembert’s equation of equilibrium-inertia force-effect of damping-Hamilton’s principle.
Module 2
Single degree of freedom system-idealisation-free vibration-natural frequency-resonance-forced vibration-lumped mass-consistent mass.
solution techniques-determinant search procedure-Householders method
Single degree of freedom system-idealisation-free vibration-natural frequency-resonance-forced vibration-lumped mass-consistent mass.
solution techniques-determinant search procedure-Householders method
Module 3
Introduction to stability analysis-energy principles-stable, unstable and neutral equilibrium-fourth order differential equation for generalized bending problems-elastic instability of columns-Euler’s theory-assumptions-limitations. General treatment of column stability problem as an Eigen value problem-various modes of failure for various end conditions- both ends hinged-both ends fixed-one end fixed other end free- one end fixed other end hinged
Introduction to stability analysis-energy principles-stable, unstable and neutral equilibrium-fourth order differential equation for generalized bending problems-elastic instability of columns-Euler’s theory-assumptions-limitations. General treatment of column stability problem as an Eigen value problem-various modes of failure for various end conditions- both ends hinged-both ends fixed-one end fixed other end free- one end fixed other end hinged
Module 4
Beam column-beam column equation-solution of differential equation for various lateral loads-udl and concentrated loads-solutions for various end conditions-both ends hinged-both ends fixed-one end fixed other end free- one end fixed other end hinged.
Beam column-beam column equation-solution of differential equation for various lateral loads-udl and concentrated loads-solutions for various end conditions-both ends hinged-both ends fixed-one end fixed other end free- one end fixed other end hinged.
Module 5
Finite element application to dynamics-element stiffness matrix and mass matrix of a beam element. Finite element application to stability analysis- finite element stability analysis-element stiffness matrix –geometric stiffness matrix-derivation of element stiffness matrix and geometric stiffness matrix for a beam element.
Finite element application to dynamics-element stiffness matrix and mass matrix of a beam element. Finite element application to stability analysis- finite element stability analysis-element stiffness matrix –geometric stiffness matrix-derivation of element stiffness matrix and geometric stiffness matrix for a beam element.
References
Ray W Clough, Joseph Penzien, Dynamics of structures, Mc Graw Hill, Kogabusha Ltd.
Ziegler H, Principles of structural stability, Blarsdell, Wallham, Mass, 1963.
Thompson J M, G W Hunt, General stability of elastic stability, Wiley, New York.
Timoshenko, Gere, Theory of elastic stability, Mc Graw Hill, New York.
Don O Brush, B O O Almorth, Buckling of Bars, plates and shells,
Cox H L, The buckling of plates and shells, Macmillam, New York, 1963.
O C Zienkiewicz ,.Finite Element Method ,fourth Edition,McGraw Hill,
R.D.Cook, Concepts and Applications of Finite Element Analysis, John Wiley &Sons.
Ziegler H, Principles of structural stability, Blarsdell, Wallham, Mass, 1963.
Thompson J M, G W Hunt, General stability of elastic stability, Wiley, New York.
Timoshenko, Gere, Theory of elastic stability, Mc Graw Hill, New York.
Don O Brush, B O O Almorth, Buckling of Bars, plates and shells,
Cox H L, The buckling of plates and shells, Macmillam, New York, 1963.
O C Zienkiewicz ,.Finite Element Method ,fourth Edition,McGraw Hill,
R.D.Cook, Concepts and Applications of Finite Element Analysis, John Wiley &Sons.