Overview

Test Case

An L-shaped beam with dimensions 30 x 25 mm with 4 mm as the rib thickness and 300 mm in length has the surface fixed at one end. A force of 10,000 N is then applied to the opposite end of the beam.

Input Parameters:  —  Width, Height, and Length (CAD Geometry)

Response Parameters:  —  Volume, Stress, and Deflection

Figure 220: Schematic

Parameter	Type	Limits	Desired Value	Importance
Width	Input	20 mm W 30 mm	No Preference	High
Height	Input	25 mm H 35 mm	No Preference	High
Length	Input	250 mm L 350 mm	No Preference	High
Volume	Output	n/a	Minimum Possible	Low
Stress	Output	n/a	Minimum Possible	High
Deflection	Output	n/a	Minimum Possible	High

Analysis

Beam volume:

Maximum axial deformation under load F:

Normal stress along Z-direction:

Combined objective function becomes:

Minimizing ϕ we get dimensions as:

Results Comparison