Project 3- Study of cantilever beam with different cross-sections like circular, rectangular and I section and to find out the effect of cross-section on the deflection of the beam using FEA technique using Ansys Workbench and results has to be verified using strength of material deflection equations.

Aim: Study of cantilever beam with different cross_section: (circular, rectangular & I-section).

Procedure:

Maximum Deflection of the cantilever beam using analytical approach:

Max deflection = W*L^3/3*EI (mm)

Numerical Approach:

a)To perform analysis of static structures (load is constant w.r.t time); Static Structural analysis is used to understand the total deformation of the beam.

b)Circular beam with diameter of 100mm, rectangular beam with 50*50 mm^2 and Isection (area same as the rectangle) is desgined using spaceclaim.

c)Structural steel material is used for all the structures.

d)For each structure the mesh size is 15mm.

e)Fixed support and loading(1000N),bounday conditions is provided.

f)Total deformation is solved to analyse the results.

Conclusion:

Circular Beam-

a)Analytical approach-Max deformation=0.65mm

b)Numerail Approach(FEM)-Max deformation=0.37mm

Rectangular Beam:

a)Analytical approach_Max deformation=3mm

b)Numerical Approach_Max deformation=3.19mm

Isection Beam:

a)Analytical approach_Max deformation=4.63mm

b)Numerical approach_Max deformation=3.417mm