AEE1001: Develop a finite element model for a cantilever beam. Use an I-beam or Rectangular Hollow Cross-section (RHS): Engineering Mechanics Individual Project Assignment, NUS, Singapore

Q3. Cantilever Beam in Bending (45 Marks)

(a) Develop a finite element model for a cantilever beam. Use an I–beam or Rectangular Hollow Cross–section (RHS)

(b) Determine the dimensions, e.g. Length and cross–sectional dimensions using the Excel sheet.

(c) Apply a concentrated load at the free end of the cantilever beam. The load can be determined using the Excel Sheet.

(d) Solve the stress and deflection using both Finite Element using Ansys (consider 10mm mesh sizes in your FE model) and analytical solutions (include Shear–Force and Bending Moment Diagrams). Compare your results and discuss the results.

(e) Increase the height h by 25% and retain the other dimensions. Using analytical solutions, calculate the new stress and deflection. Discuss what you observe.