Haim Waisman
Associate Professor

Civil Engineering &
Engineering Mechanics
624 S.W. Mudd
500 West 120th Street
New York, NY 10027-6699

Phone: (212) 851-0408
Fax: (212) 854 -6267
Email: waisman@civil. columbia.edu



Fluid Mechanics (ENME E3161)

Fall 2011, Fall 2012, Fall 2013, Fall 2014, Fall 2016

Prerequisites: Mechanics (ENME 3105) and ordinary differential equations.

Introduction and basic concepts, Fluid properties, Pressure and fluid statics, Fluid kinematics, Conservation laws, Dimensional analysis and modeling, Flow in pipes, Differential analysis, Approximate solutions of the Navier-Stokes equations, External flows



Finite Element Analysis I (ENME E4332)

Fall 2008, Fall 2009, Fall 2010, Fall 2011, Fall 2012, Fall 2013, Fall 2014, Fall 2015, Fall 2016

Prerequisites: Mechanics of solids, structural analysis, elementary computer programming (MATLAB is recommended), linear algebra and ordinary differential equations.

Direct stiffness approach for trusses. Strong and weak forms for one dimensional problems. Galerkin Finite Element formulation, shape functions, Gauss quadrature, convergence. Multidimensional scalar field problems (heat conduction), triangular and rectangular elements, Isoparametric formulation. Multidimensional vector field problems (linear Elasticity). Practical FE modeling with commercial software (ABAQUS). Computer implementation of the finite element method. Advanced topics.

Finite Element Analysis I

Finite Element Analysis II (ENME E6333)

Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2016

Prerequisites: Finite Element Analysis I or instructor permission.


FE formulation for beams and plates. Generalized eigenvalue problems (vibrations and buckling). FE formulation for time dependent parabolic and hyperbolic problems. Nonlinear problems, linearization and solution algorithms. Geometric and material nonlinearities. Introduction to continuum mechanics. Total and updated Lagrangian formulations. Hyperelasticity and plasticity. Special topics.

Finite Element Analysis II