# CIE 633 FINITE ELEMENT ANALYSIS - WordPress.com CIE 633 FINITE ELEMENT ANALYSIS KALPESH P PARIKH OVERVIEW

Introduction Buckling Analysis - Eigenvalue Buckling Analysis - Non Linear Analysis Modal Analysis Transient Dynamic Analysis

Introduction Beam with Cross Section I shape Geometry Information Introduction

Material Properties ASTM Designation: A992 Steel Section Modulus of Elasticity: E =30000 Ksi Poisson ratio =0.3 Density of Steel= 490 lb/ft3 Yield Strength Fy = 50 ksi

Tensile Strength Fu = 65 ksi Buckling Analysis Analysis- Eigenvalue and Non Linear Analysis Element used Beam 4, Beam 188, Beam 189,Shell 63 and Shell 93.

Boundary Condition Cantilever , Simply Supported, Fixed and pinned. Loading Condition - Axial Loading - Lateral Loading

Buckling Eigenvalue Analysis Eulers Buckling Load Formula was used for different Boundary condition and Loading Condition Results as Tabulated Below

Buckling Eigenvalue Analysis Buckling Eigenvalue Analysis Buckling Eigenvalue Analysis

Buckling Eigenvalue Analysis Observation Model Imperfection in shell 63 and shell 93. Effect of number of modes does not change the result. Behavior of the I section Changes like Web

Crippling and Flange Yeilding are noticed. Buckling is about weak axis. Buckling Non Linear Analysis Buckling Non Linear Analysis

Buckling Loads are approximate ones. We calculate Eulers Buckling Load (Theoretically) and Put in the Command fmax and then we simulate. Model Becomes Unstable shows Non Linear Behavior.

Modal Analysis What is modal analysis? A technique used to determine a structures vibration characteristics: Natural frequencies

Mode shapes Mode participation factors (how much a given mode participates in a given direction) Most fundamental of all the dynamic analysis types.

Modal Analysis Gives an idea of how the design will respond to different types of dynamic loads. I tried a case of Cantilever Beam with two masses and noticed the response based on

that. Geometry remains same W 10 x 26. Element used Beam 4 and Mass 21 Method used Subspace Method. Transient Dynamic Analysis

Here Study was done for the Same Problem for the Modal analysis but now the at each Time the displacement is noted at the tip and Middle. Method used is Superposition Method. Review of Result

Displacement at Tip and mid is plotted against time Transient Dynamic Analysis Two Concentrated masses are affixed to a cantilever Beam a third mass is resting on the

beam . A Hammer strike is applied at free end a Study of Hop of the third mass. Element used-contact 12, Spring element, combin14, Mass 21 and Beam4. Hammer Load is applied at t=0.01 and removed at t= 0.02.

Transient Dynamic Analysis Transient Dynamic Analysis When Block Falls and strike a beam. Element used Beam 4, Plane 42, Contact 171,

Target 169 To see the Dynamic Response of the Beam when Block Falls on the Beam Displacement is noted . Below Graph shows a Clear Picture.

Vision of the Future Thank You! Rene Magritte, Clairvoyance, 1936