WrittenTesy Sept 05 2023

Page 1

Course of Aerospace Structures Written test, September 5 th, 2023 Name Surname Person code: Exercise 1 The beam structure sketched in the figure is made with a thin-walled square cross section, and is designed to whitstand a maximum load equal toF. Compute the maximum value of the beam compressive stress at the clamp. Be careful with the measurement units. (Unit for result: MPa) Data e = 0.3 m e1 = 0.29 m a = 3.0 m d = 0.4 m b = 1.0 m c = 0.8 m F = 2300 N Answer Exercise 2 The structure sketched in the figure is composed by two beams; the first one has a L shape, and is clamped at one extremity; the second one is hinged at both extremities, i.e. to the ground and to the corner of the first one. Compute the vertical displacementv at the point of application of the forceF. Neglect shear deformation. The coordinates of the points are given, with respect to the sketched reference system, in the data. The bending and torsional stiffness of the beams are given with respect to local reference systems, with thez axis aligned with the beam axis. (Unit for result: mm) Data A : (0; 1000; 0) mm B : (1000; 1000; 0) mm C : (1000; 1000; −1000) mm D : (1000; 1500; 0000) mm EA = 1 × 105 N EIxx = EIyy = 1 × 1010 N mm 2 GJ = 2 × 1011 N mm 2 F = 1000 N Answer Exercise 3 The semi-monocoque structure sketched in the figure is loaded by the forceF. All panels have thickness equal to t. Compute the fluxq1. (Unit for result: N/mm) Data a = 3000 mm b = 300 mm A = 500 mm 2 t = 3 mm F = 30000 N Answer Exercise 4 Consider the semi-monocoque beam open cross section sketched in the figure; all panels have thickness equal to t; all the concentrated areas are equal toA. Compute the x position of the shear center. (Unit for result: mm) Data a = 1000 mm b = 500 mm t = 1 mm A = 300 mm 2 Answer 2 Exercise…