VM-WB-MECH-040

VM-WB-MECH-040
Deflection of Beam using Symmetry and Anti-Symmetry

Overview

Reference:	Any Basic Strength of Materials Book
Solver(s):	Ansys Mechanical
Analysis Type(s):	Static Structural Analysis
Element Type(s):	Beam

Test Case

A long bar 1m X 1m X 24m with simply supported ends is subjected to lateral load of 1000 N at a distance of 8m from one end. Find Deformation at the 8m from simply Supported end.

Scenario 1: Considering Symmetry

Scenario 2: Considering Anti-Symmetry

Figure 52: Schematic

Material Properties

Geometric Properties

E = 2e11 Pa

γ = 0

ρ = 0.001 kg/m³

Bar = 1m x 1m x 24m

Force = -1000 N (Y-direction) at 8m from Simply Supported end

Analysis

Scenario 1: Considering Symmetry

Scenario 2: Considering Anti-Symmetry

Results Comparison

Results	Target	Mechanical	Error (%)
Scenario 1: Directional Deformation in Y-direction (m)	-2.569e-5	-2.5695e-5	0.019
Scenario 2: Directional Deformation in Y-direction (m)	-1.70662e-6	-1.7383e-6	1.856