Contents

Introduction. 3

What is Finite Element Analysis?. 3

Why use Finite Element Analysis?. 3

Question. 3

Answer. 5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Introduction

What is Finite Element Analysis?

Finite Element Analysis is based on an approximate solution by breaking up a element into lots of smaller (finite) elements. The Element Analysis helps simplify complex partial equations that describe the behaviour of the structure into simple Linear Equations that can be solved using matrix algebra.

Why use Finite Element Analysis?

Finite Element Analysis is a method of choice optimising of a new designs and verifying that the structure will be able to fulfil its duty. Finite Element Analysis can even be used during accident reconstructions and forensic investigations in which can determine the failures which could lead to deadly or life threatening consequences.

Question

A local engineering consulting firm approaches you with their typical problem. They designed a truss-like structure, which is subjected to a tensile force as shown in figure. Since this structure is planned to be mounted overhead in undisclosed factory, they want to reduce the weight, hence the cross-sectional area of the truss-members. Ideally the truss members should have equal cross- sectional area, however no more than 2 different areas are allowed in the whole structure. Dimensions, load conditions are given in the figure below. The company also would appreciate the rationale for selection of area, and factor of safety from engineering point of view. The material is mild steel, and you are advised to use mechanical properties of standard mild steel.