plane elements Computational Mechanics

Politecnico di Milano, Master of Science in Civil Engineering for Risk Mitigation
Course Computational Mechanics - A.A. 2023/2024 
First computing lab - plane elements
STUDENT IDENTIFICATION NUMBER: _ _ _ _ _ _
 a b c d e f

Consider the rectangular steel plate with the two represented lateral notches, subjected to the indicated uniform
load q = 100 N/mm².
Assume 1=100mm, 2=(175-5∙f) mm, thickness h=5 mm for the dimensions of the plate, r1=20 mm and
r2=(11+2∙e) mm for the size of the notches, where e and f coincide with the last digits of your student id number.
Consider for the material the typical properties of a structural steel: elastic modulus E=210000 N/mm2
 and
Poisson coefficient =0.30.
Compare the displacement and stress distributions resulting from two different meshes (one rough, one finer)
made of plane stress elements.
MAIN RESULTS
Deliver only the main results listed on pages 2 and 3, filling in the indicated fields, and further provide
- for each discretization:
1) ONE FIGURE REPRESENTING THE STRUCTURAL SCHEME (with legible numbers of nodes and elements)
2) ONE FIGURE REPRESENTING THE DEFORMED SHAPE OF THE STRUCTURE (with legible amplification factor)
3) THE MAP OF THE HORIZONTAL NORMAL STRESS (with legible scale)
4) THE MAP OF THE VERTICAL NORMAL STRESS (with legible scale)
5) THE MAP OF SHEAR STRESS (with legible scale)
6) THE MAP OF VON MISES STRESS (with legible scale)
- for the comparison:
7) ONE FIGURE WITH THE GRAPHICAL COMPARISON OF THE DEFORMED SHAPE OF THE 2 MESHES (with only
the external sides in view)
Specify the adopted sign conventions in your graphs and numerical results.
 The delivery must follow the instructions that will be published in WeBeep.
2
Politecnico di Milano, Master of Science in Civil Engineering for Risk Mitigation
Course Computational Mechanics - A.A. 2023/2024 - Prof. Gabriella Bolzon
First computing lab - MODULE OF RESULTS
SURNAME NAME:
STUDENT IDENTIFICATION NUMBER: _ _ _ _ _ _ PERSON CODE:
 a b c d e f
ROUGH MESH
8) NODAL DISPLACEMENTS
9) REACTION FORCES (all + their sum)
10) HORIZONTAL NORMAL STRESS, VERTICAL NORMAL STRESS, SHEAR STRESS, VON MISES STRESS IN THE
HIGHLIGHTED NODES
11) PRINCIPAL STRESS VALUES AND DIRECTIONS IN THE HIGHLIGHTED NODES
12) SKETCH OF PROFILE “AFE” WITH
PRINCIPAL STRESSES
node ux uy
FINE MESH
13) NODAL DISPLACEMENTS
14) REACTION FORCES (all + their sum)
15) HORIZONTAL NORMAL STRESS, VERTICAL NORMAL STRESS, SHEAR STRESS, VON MISES STRESS IN THE
HIGHLIGHTED NODES
16) PRINCIPAL STRESS VALUES AND DIRECTIONS IN THE HIGHLIGHTED NODES
17) SKETCH OF PROFILE “AFE” WITH
WX：codinghelp