hydraulic machines jagdish lal pdf free download

introduction to variational formulation (Ritz Method.)

Numerical integration using gauss quadrature formula, computation of stress and strain.įinite Element Formulation from Governing Differential Equation: Method of Weighted Residuals, Collocation, Sub domain method, Least Square method and Galerkin’s method,Īpplication to one dimensional problems, one-dimensional heat transfer, etc. Shape functions, node numbering and connectivity, Assembly, Boundary conditions, Isoparametric formulation of 1-D bar elements, Two Dimensional Finite Element Analysis: Finite element formulation using three nodded triangular (CST) element, Plane stress and Plain strain problems,

Shape functions and their properties, Assembly, Boundary conditions, Computation of stress and strain. One-dimensional Finite Element Analysis: Basics of structural mechanics, stress and strain tensor, constitutive relation, Principle of minimum Potential, General steps of FEM, Finite element model concept / Discretization, Derivation of finite elements, equations using potential energy approach for linear and quadratic 1-D bar element, Structure analysis: Two-force member element, Local stiffness matrix, coordinate transformation, Assembly, Global stiffness matrix, imposition of Boundary conditions, Properties of stiffness matrix Introduction to FEM and its applicability, Review of :Matrix algebra, Gauss elimination method, Uniqueness of solution, Banded symmetric matrix and bandwidth.

Hydraulic machines jagdish lal pdf free download