Midterm Test AY 2016 2017 and solution of structure

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Test on 16/05/2017 PROBLEM SET A Student:______________________________________________________ Id. Number:______________ Please note that: correct solution of exercise 1 is mandatory to pass the exam. Exercise 1 Consider the structure depicted in Figure 1, which is subjected to the uniform distributed load p. 1) Sketch the internal forces diagrams (moment, shear force, axial force). 2) By assuming that both the axial and the shear deformability is negli gible for all the structural elements evaluate the horizontal displacement of the point F. 3) Discuss (only from a qualitative point of view) how the structural behaviour would change by substitut ing the roller F with a spherical hinge. Figure 1. Exercise 2 Answer to the following theoretical questions: 1. Show that the components of the internal force (M, N, V) are energetically orthogonal. 2. Derive the Physical meaning of the PVW equations.