MSS test 2025 a3 merged

Page 1

Course of Space Structures  June 12 th, 2025 Course of Space Structures Written test, June 12 th, 2025 Question 1  T rue/F alse (put a T (true) or F (false) at the end of the sentence) 1. A uniaxial state of stress implies zero deformations apart from the axial one: F 2. The equilibrium equations of the Mindlin plate model involve two moment equations and one vertical shear equation: T Question 2  Multiple Choice (circle the correct answer) 1. Consider a truss with constant stiness EA. It is xed at one end and loaded at the other with a concentrated force. The problem is solved via FEM with 2-node truss elements. By increasing the number of elements from 1 to 10: (a) the strain energy decreases (b) the strain energy remains the same (c) the strain energy increases 2. Consider a square Kirchho plate of dimension a. The origin of the reference system x − y is located in the center of the plate. The two edges at y = −a/2 and y = a/2 are free, the edge at x = −a/2 is clamped and the edge at x = a/2 is free. The Ritz method is used to estimate the natural frequencies and the corresponding eigenvectors. The approximation of the out-of-plane displacement along y can be taken as: (a) A series of polynomial terms, including the constant term (b) A series of polynomial terms, excluding the constant term (c) A series of sine terms