Prova d'esame svolta Progettazione geotecnica e strutturale

MASTER’S DEGREE IN ENVIRONMENTAL ENGINEERING

STRUCTURAL AND GEOTECHNICAL DESIGN course

Written exam – Structural design

February 2025

06

The aim of the study is the design of a beam (beam ABC) of a framed structure. The frame is

loaded by three distributed loads (loading cases q , q and q ) and one concentrated force (load

1 2 3

case q ). For beam ABC the diagrams of the internal actions (axial force, shear force and bending

4

moment) associated with the four loads are shown below (see Figure 1 in page 3). Type, nature

and value of the loads are given in Table 1. 1:

Table Loads

Load Loading type Load category Load value

G Structural permanent action - 2,3 kN/m

1

q

1 Q Variable action Building – category A 2,5 kN/m

K

G Structural permanent action - 2,8 kN/m

1

q

2 Q Variable action Building – category F 3,5 kN/m

K

G Structural permanent action - 3,2 kN/m

1

q

3 Q Variable action Building – category A 3,6 kN/m

K

q Q Variable action Building – category E 7,0 kN

4 K

You are required to:

1. identify the load combinations (N-M-V) for the design of all the main beam sections;

2. evaluate the internal actions at USL (N-M-V) for all beam sections and for all the identified

cases;

3. focusing on the most loaded section of the beam:

design and check (numerical check) the section at ULS for normal stresses (axial

a. load+bending moment) considering the most unfavourable M -N couple. For this

Ed Ed

purpose, assume:

- materials: concrete class C35/45– steel type: B450C

- = 10% (for the design phase)

ε

s 0

- base of the section b=500 mm

- maximum aggregate diameter d =20mm

g

- diameter of longitudinal rebars φ=20mm

=10mm

- diameter of the stirrups φ

st

- exposure class XC3

- design working life: 100 years

- quality control of the concrete production: special control system ensured 1/3

once the section is designed, check the section for all possible M -N couples; via the M-

b. Ed Ed

N domain. To do this, plot the domain taking into account the effective rebar location

4. design the beam for shear

5. provide a graphical representation of the layout of rebars for the most loaded section and

along the length of the beam.

the examination it is fundamental that you:

To help the marking of

- specify the hypotheses, assumptions and sign conventions adopted;

- specify the design standards taken into account;

- write your surname and ID student number on each sheet;

- number the sheets consecutively according to the order of reading;

hand in the draft;

- don’t

- write legibly. 2/3

3/3