A beam with a channel cross section is fixed at point A and a load is...
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A beam with a channel cross section is fixed at point A and a load is applied through point C, as described in Figure 1. L 10 L h Figure 1: Cantilever beam with C cross-section and dimensions ZA y C W The dimensions of the beam are: w = 50 mm, h = 120 mm, t = 10 mm, L = 1.5 m, E = 200 GPa, v=0.3. The load is applied on the surface of the free end, meaning that it acts at the centroid the channel section. The load has a magnitude of P = 1 kN and is applied in the z-direction of the co-ordinate system used in Figure 1. a) Solve the system analytically: i.e. Produce a Free Body Diagram, a Shear Force Diagram and a Bending Moment Diagram for the beam. Determine the stresses at Point A and Point B on the Beam. (2 marks) b) Build 2 models of a cantilever beam in APDL, one using beam elements, the other using solid elements. No need to show your APDL files in the presentation. Submit your .APDL file on Blackboard as an appendix of the presentation. (3 marks) A beam with a channel cross section is fixed at point A and a load is applied through point C, as described in Figure 1. L 10 L h Figure 1: Cantilever beam with C cross-section and dimensions ZA y C W The dimensions of the beam are: w = 50 mm, h = 120 mm, t = 10 mm, L = 1.5 m, E = 200 GPa, v=0.3. The load is applied on the surface of the free end, meaning that it acts at the centroid the channel section. The load has a magnitude of P = 1 kN and is applied in the z-direction of the co-ordinate system used in Figure 1. a) Solve the system analytically: i.e. Produce a Free Body Diagram, a Shear Force Diagram and a Bending Moment Diagram for the beam. Determine the stresses at Point A and Point B on the Beam. (2 marks) b) Build 2 models of a cantilever beam in APDL, one using beam elements, the other using solid elements. No need to show your APDL files in the presentation. Submit your .APDL file on Blackboard as an appendix of the presentation. (3 marks)
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