3. A wind turbine blade is being modeled as a hollow, rectangular cantilevered beam, as illustrated...

Transcribed Image Text:

3. A wind turbine blade is being modeled as a hollow, rectangular cantilevered beam, as illustrated in the figure. The blade is L= 50 m long. The width of the beam, b = 2.5 m, its height h = 5.0 m, and the wall thickness is everywhere t=0.025 m. The moment of where bi is the width of the interior space and h is its bh-bh 12 height. The modulus of elasticity E of the material from which the blade is made is 50 GPa. The blade is loaded at the free end with a force of F = 60 kN. inertia is given by I = MIE 573 Fall 2023 HW 7 0 2 a. Find the deflection of the free end of the beam. b. Imagine that the beam is divided into 100 sections. Find the deflection as a function of the distance from the fixed end. See . c. Repeat part b, using the finite difference method which is also summarized in . Note that the moment along the beam decreases from a value of Fx L. Illustrate the results from parts b and c on the same graph. 3. A wind turbine blade is being modeled as a hollow, rectangular cantilevered beam, as illustrated in the figure. The blade is L= 50 m long. The width of the beam, b = 2.5 m, its height h = 5.0 m, and the wall thickness is everywhere t=0.025 m. The moment of where bi is the width of the interior space and h is its bh-bh 12 height. The modulus of elasticity E of the material from which the blade is made is 50 GPa. The blade is loaded at the free end with a force of F = 60 kN. inertia is given by I = MIE 573 Fall 2023 HW 7 0 2 a. Find the deflection of the free end of the beam. b. Imagine that the beam is divided into 100 sections. Find the deflection as a function of the distance from the fixed end. See . c. Repeat part b, using the finite difference method which is also summarized in . Note that the moment along the beam decreases from a value of Fx L. Illustrate the results from parts b and c on the same graph.