Comparison of bending in beams

Aim:To perform the comparison of bending in beams.

Introduction:In applied mechanics, bending (also known as flexure) characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element.A beam deforms and stresses develop inside it when a transverse load is applied on it. In the quasi-static case, the amount of bending deflection and the stresses that develop are assumed not to change over time. In a horizontal beam supported at the ends and loaded downwards in the middle, the material at the over-side of the beam is compressed while the material at the underside is stretched.

Problem Statement: In this we have analyze the bending behaviour of beams with different cross section area:

1.Rectangular Beam

2.I section Beam

3.C section Beam

Apply a load of 1500N on smaller face of each beam and compare the result of stress,displacement and strain.

Case-1: Rectangular Beam : Material=Alloy Steel

Dimensions:

Model:

Fixed part and load applied:Load of 1500N is applied at the top face of beam.And one end is fixed.

Meshed Part:Deafult Mesh is choosen.

Case 2: I secction Beam:Material=Alloy Steel

Dimensions:

Model:

Fixed part and load applied:Load of 1500N is applied at the top face and one end is fixed.

Meshed Part:Default mesh is choosen.

Case 3: C-section Beam: Material = Alloy Steel

Dimensions:

Model:

Fixed part and load applied: Load of 1500N is applied at 45mm face of beam.And one end is fixed.

Meshed Part:Default mesh is choosen.

Result:For case 1:

For case 2:

For case 3:

Tabulated Data:

Serial No.	Beams	Von mises stress(N/m^2)	Displacement(mm)	Strain
1.	Rectangular	7.5326e+06	3.102e-02	2.576e-05
2.	I section	2.663e+07	1.181e-01	1.020e-04
3.	C section	4.497e+07	3.737e-01	1.529e-04

Conclusion:According to the data max stress develops in c section beam.But the stress distribution is more uniform in I section.So the best one is I section beam.