Beams under Bending Loads: Comparison of Theoretical and Numerical Solutions

Beams under
Bending
Loads:Comparison of
theoretical and
numerical solutions
[Type the author name]

Abstract
This report aims at an examination of the importance of the Finite Element Analysis in obtaining the
properties of I-beam cross-section member in determining values such as stresses at certain points,
second moment of area of the component and the position of the centroid in an I cross-section beam
subjected to a moment of bending my about the centroidal y axis and a moment of bending mz about
the centroidal z axis. The bending, lateral twisting and displacement are the main modes of failure that
determine any beam design. Structural analysis and simulation using ANYSYS are completed on the
I-beam cross-section and the results compared with the theoretical values obtained from calculations
in order to ascertain and approve results from the simulation. Finite Element Analysis of any
component is the most appropriate method for carrying out analysis and simulation of the section.
Using the study it is observed that both numerical and theoretical values are almost similar and thus
the FEA method can be applied in determining the suitability and use of any section under any
application.

Table of Contents
1. Aims & Objectives........................................................................................... 4
2. FEA Literature Review..................................................................................... 4
3. Theoretical Equations and Calculations...........................................................7
4. Numerical Screenshots.................................................................................... 9
5. Results Summary - Tabulated Theory and Numerical Values........................10
6. Discussion..................................................................................................... 10
7. Conclusion..................................................................................................... 10
8. References.................................................................................................... 11

Table of Figures
Figure 1: Warping..........................................................................................4
Figure 2: I-beam cross-section.......................................................................6
Figure 3: Test Data........................................................................................6