3. FINITE ELEMENT METHOD (FEM)
The finite element method is a computer aided mathematical
technique that is used to obtain an approximate numerical solution to
the fundamental differential and/or integral equations that predict
the response of physical systems to external effects.
6. 6
( )
( ) [ ( ) - ] 0
d dT x
KA x hp T x T
dx dx
7. ANSYS® – PRODUCT OVERVIEW
ANSYS® is a simulation software enables an organization to
confidently predict how their product will operate in real world.
8. PRODUCTS
Simulation
Technology
System & Multiphysics
Electronics
Fluid Dynamics
Structural Analysis
Workflow
Technology
ANSYS® Workbench Platform
Geometry Interfaces
High Performance Computing
Simulation Process Computing
Flagship
Technology
ANSYS® Fluent
ANSYS® HFSS
ANSYS® Mechanical
ANSYS® Red Hawk
9.
10. STAGES OF ANALYZING IN ANSYS®
1. Pre-
processing
Define key points, lines, areas, volumes, element type
& material properties, mesh lines, areas, volume as
2. Solution Assign loads (point/pressure), constraints
(translational & rotational) & solving
3. Post-
processing
List of nodal displacements, Element forces &
moments, Deflection plots, Stress contour diagram
11. A composite wall is widely used in cold places to insulate buildings from the cold outside surroundings.
It typically consists of insulating material packed inside a wall as shown. The insulating material is usually
made of two layers. In this problem, model a section of such a wall and determine the heat flux through
the wall. This gives an estimate of the amount of heat that needs to be supplied to maintain the room
temperature.
Composite wall Thermal Conductivity (K) = 1000W/m K
Insulating Material Thermal Conductivity (K ) = 5 W/m K
12. Element type Real constants Material properties
Beam 3 (2D Elastic)
Cross sectional area = 100 mm2
Beam height = 10 mm
Beam length = 1000 mm
Elastic modulus E = 2×105 N/mm2
Poisson’s ration = 0.3
Calculate the maximum value of shear force and bending moment in a transverse loaded beam structure shown
using analytical method. And compare the shear force and bending moment diagram using finite element
method (FEM). Calculate the maximum value of principal stress (direct + bending stress) in a beam. Also find the
maximum deflection in a beam.
Given:
Analysis type: Static Two Dimensional Analysis
