Second midterm exam for Mechanics of Solids and Structures II in the Chemical Engineering degree programme at Politecnico di Milano. The document covers: Test on 18/06/2015 Student:______________________________________________________ Id. Number:______________ Exercise 1 Consider the U-shaped cross section, depicted in the figure below, having flanges of thickness p and the web of thickness q. The cross section is subjected to a
Second midterm exam for Mechanics of Solids and Structures II in the Chemical Engineering degree programme at Politecnico di Milano. The document covers: Test on 18/06/2015 Student:______________________________________________________ Id. Number:______________ Exercise 1 Consider the U-shaped cross section, depicted in the figure below, having flanges of thickness p and the web of thickness q. The cross section is subjected to a
Import quality: text was extracted directly from the original document.
Representative passages recognised in different parts of the material. The full extracted text remains available to search, while this compact preview makes the page easier to read.
Test on 18/06/2015 Student:______________________________________________________ Id. Number:______________ Exercise 1 Consider the U-shaped cross section, depicted in the figure below, having flanges of thickness p and the web of thickness q. The cross section is subjected to a shear force, V, inclined with respect to the vertical axis and applied at the centroid, G, of the cross-section. You should: 1. Find the position of the centroid. 2. Find the position of the shear center, if needed. 3. Evaluate and sketch along the centerline of the cross-section shown in the figure the distribution of shear stresses (that is the shear flow divided by the chord length); 4. Assuming the following material properties: E = 200000 MPa (Young modulus) and ν = 0.3 (Poisson coefficient), evaluate the value taken by the unit torsion angle α. G = E/2(1+ ν) Exercise 2 Answer one of the following theoretical questions: 1. Starting from the De Saint Venant cases, give the general equation for the solution of torsion for a generic cross-section, discuss them and explain other phenomena controlled by similar equations. 2. Derive the Euler critical load of a vertical cantilever.
First page of the document.
