Solutions Aerospace Structures August 29 2022

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Course of Aerospace Structures Written test, August 29 th, 2022 Name Surname Person code: Exercise 1 The beam sketched in the figure is loaded by the two concentrated momentsM1 and M2. Compute the rotationθ in the middle of the beam. (Unit for result: rad) Data l = 400 mm M1 = 50000 Nmm M2 = 20000 Nmm EJ = 6.0 × 106 Nmm2 EA = 7.2 × 107 N Answer Exercise 2 The beam sketched in the figure is loaded by the concentrated forceF. Compute the beam displacement w in the z direction of pointA. (Unit for result: mm) Data l = 1400 mm F = 2500 N EJxx = EJyy = 6.0 × 1010 Nmm2 GJ = 8.0 × 1010 Nmm2 EA = 1.0 × 105 N Note: the beam cross-section stiffness properties are given in a local reference system. Answer Exercise 3 The semi-monocoque beam model in the figure is loaded at the free extremity by a concentrated moment M. It has five stringers, each with concentrated area A. The upper face is made by by two panels, that are connected through the stringer positioned in the middle ata/2. Carefully check the detailed sketch on the right, and in case of doubt ask for a clarification! These two panels are connected to the stringer by means of rivets, spaced byp, and with a diameterd. Compute the shear stress of one rivet. (Unit for result: MPa) Data a = 600 mm b = 100 mm t1 = 1 mm t2 = 2 mm t3 = 2.5 mm t4 = 3 mm t5 = 1 mm A = 100 mm 2 M = 1 × 105 Nmm p = 30 mm d = 2 mm Answer Exercise 4 Consider the semi-monocoque cross section model sketched in the figure. Compute the axial stress of stringer number 2 at a distance ofl/2 from the clamp. (Unit for result: MPa) Data A = 400 mm 2 a = 200 mm t = 2 mm l = 6000 mm F = 2000 N Answer 2 Exercise 5 The beam sketched in the figure is loaded by the concentrated momentM at z = 2 l from the leftmost hinge and by the concentrated forceF at z = 7/2l. By…