AEE 569
Part1 of %20 of the final project
(Due December 21st)
There willbe two assignments which will add up to %20 of your final project which is 25% in total. %20 portion of the project must be done individually. The remaining 80% of the project will be done in groups of two students.
For the clamped-clamped and clamped-free beamsshown below determine the following.
Application 1:
Determine themaximum bending stress along the beam axisand its location, for both boundary conditions, by the finite element analysis using Patran/Nastran. State the layer number and position with respect to the mid plane. In addition, find the maximum lateral deflection of the beamfor both boundary conditions.Get deformation plots of finite element solutionfor both boundary conditions. In addition, plot the beam axis stress for the layer # 13 (from bottom-up)for both boundary conditions.
Notes:
1-After the completion of section 6, the second part of the project will be about the analytical solution of the same problem and comparison with the FE results.
2-Use shell elements to model the beam. You can convert the distributed load into an equivalent pressure load acting on the shell elements.
Geometric properties:
Beam length, L: 20 cm, Thickness, h=1.92 mm, Width, b:5 mm
Material properties of each Mat1: High modulus graphite epoxy
Modulus in the fibre direction: =207.35GPa, Modulus transverse to fibre: =5.18GPa
Shear moduli: GPa, Poisson’s ratio: =0.25
Material properties of each Mat2:
Modulus in the fibre direction: =38.7GPa, Modulus transverse to fibre: =8.29 GPa
Shear moduli: GPa, Poisson’s ratio: =0.26
Stacking sequence of the laminate:
16 layers, thickness of each layer: 0.12 mm
Orientation sequence: [0/0/90/90/0/0/90/90]symmetric
Material sequence: [Mat2/Mat2/Mat1/Mat1/Mat2/Mat2/Mat1/Mat1]symmetric
Loading:
Uniform distributed load, q= 1 N/cm
GIVEN:
Application 2:
For the simply supported beam under axial loading shown below determine:
i) Determine the deformation plot for the lateral displacement (w) versus beam axis (x). Observe the extensional-bending coupling. Determine the maximum lateral deflection and its position along the beam span.
ii) Determine the maximum axial stress. State both the location along the span of the beam and the layer (0 degree or 90 degreee layer)
Notes:
1-After the completion of section 6, the second part of the project will be about the analytical
solution of the same problem and comparison with the FE results.
2-Use shell elements to model the beam. You can convert the concentrated load into an equivalent distributed load acting at the edge of the shell elements.
GIVEN:
Geometric properties:
Beam length, L: 20 cm, Thickness, h=1.5 mm, Width, b:10 mm
Material properties: High modulus graphite epoxy
Modulus in the fibre direction: =207.35GPa, Modulus transverse to fibre: =5.18GPa
Shear moduli: GPa, Poisson’s ratio: =0.25
Stacking sequence of the laminate: ( [0/90] )
Thickness of each layer: 0.75 mm