Area of master degree
training
2701
00.68 «
Building Engineering
»
Master degree program
s
«
Structural Engineering
»
«
Formation of T
hree

D
imensional
S
ystem
in Urban Planning
»
«
Technology of
Building Materials, Articles and Stru
c
tures
»
«
R
esource

saving
and Ecol
ogy
of
Building Materials, Articles and Stru
c
tures
»
Task
1 (
strength
of materials + reinforced concrete constructions).
1.
D
efine normal
tensions
in
elastic bar
section with parametres specified in
figure
at
longitudinal force
action
F=2
,
400
к
N
enclosed with an eccentricity
е
0
=25
cm
.
C
alculate
tensions
in
standard
section
of the bar
at
in
elastic
behavior
of a
tensile
region
material under the same conditions.
2.
Specify
the
components of technical and economic effect from
creating the
reinforce
ment
pretension
.
Task
2
(strength of materials + reinforced concrete constructions).
1.
Define geometric
characteristics
в
g
н
g
в
н
r
r
W
W
J
y
S
A
,
,
,
,
,
,
,
0
for
the section of the
element
made of perfectly elastic material (
shown in figure
)
.
E
xplain
the
concept «
core of
section
».
2.
D
efine
flexural rigidity
of the element
shown in figure
if it is made of
the
natural
hardening
concrete
of B30 class
and loaded by short

duration
load.
3.
Define
the
practical
ways
,
realized in
r
einforced concrete
construction designing
,
of
proper
weight reduction of
the reinforced concrete constructions
at the cost of reducing the
concrete
consumption
.
b =30см
h =10см
b=10см
h=30см
f
'
'
f
Task
3
(strength of materials +
metal
constructions).
Test the
durability of a steel
welded
plate
beam
, made of three
sheets
(
beam
w
all
is
made of
1160
х
10
mm sheet
,
beam
booms
are made of
400
х
20
mm sheets
), in
the
midspan
and on
the crutch
.
The
beam
,
cut by
the
12m
span
,
is
loaded
uniformly
by
distributed load
with
the
intensity
of
q=150kN p
/m
,
it
is made of
steel
С
245.
Make c
alculation
s
in
the
elastic sta
ge.
Task
4
(strength of materials +
metal
constructions).
Test
the
stability of
the 6m
height
post
with pin

edge fixing
and
axial force
of
F=1
,
500kN
. The
post is
welded,
with
I

shaped cross

section
and
it is
made of three sheets
(
post wall is made of
380
х
8
mm
sheet
,
post flanges
are made of
300
х
12mm
sheets
).
Sheets
are made of
steel
С
245.
Task
5
(strength of materials + reinforced concrete constructions).
Test
the
stability
of the
standard section at
long

term action
loading
(
q+v=64kN p
/
rm
)
for a collar beam
of the braced frame of
multistorey building
.
Concrete
of high

specific
weight (
class
В
25
)
,
compressive zone
boundary height
is
604
,
0
R
.
L=6м
1
1
h =0,45м
с=0,15м
h =0,4м
0
coc
h =0,4м
coc
с
в
230
220
450
в =550
в =300
2
O
12
А III
в
f
50
4
O
25
А III
1 1
Task
6
(
building
mechanics
+ reinforced concrete
constructions).
1.
Make
bending moment diagram
s and
formula for
determining
peak values at
uniformly distributed loading
0
P
f
or rectangular isotropic slabs
with simple rigid support
shown in
the
figure
.
2.
Define
bending moment
value
in
the
midspan
and
sag of span
(
µ=0.15
)
f
or a slab
(shown in the figure)
with
sizes
of
а
=1
.
4
m,
в
=2
.
0
m
and
р
=10
к
N
/
m
2
.
3.
Make schemes
of
reinforcing
the
main reinforcement
(
using
plans and
sectional
elevation
s
)
f
or
reinforced
slabs
sh
own in
figures
a, b,
c
.
Show the
effective depth of
the
each slab
section
.
а)
б)
в)
х
у
а
в
0,5 <= a/b <= 1
в
а
a/b < 0,5
в
а
Task
7
(
building
mechanics
+
metal
constructions).
D
efine
the force
p
N
,
fit the section
and
test
the
diagonal
rod
stability
(1
–
2)
of
the
trussed rafter
.
T
russ
shafts
are made
up
of two
angles
in
to
the
tee section
.
Gusset plate
thickness
is
10
mm.
D
iagonal
rod
is made of
steel
С
245.
Installed panel load is
кН
F
60
.
F
F
F
F
F
F
F
2150
6000
6000
6000
6000
3000
3000
3000
3000
Task
8
(
building
mechanics
+ reinforced concrete constructions).
1.
In
a double

span beam
of
continuous
stiffening
d
efine
the
values of the
moment of
support
,
the maximum span
moment and
the
shear under uniformly distributed load
q=20kN/m
and spans
l
1
=l
2
=l=6m
.
2.
F
ormulate the concept of plastic hinge in reinforced concrete
constructions
.
D
e
fine
the magnitude of the bending moment in the plastic hinge
.
3.
S
how the bending momen
t diagram obtained by taking into account the formation
of plastic hinge
with
intermediate support
section
(
B
)
f
or
a
beam with
definite
M
and
Q
of
the elastic state.
3.
Explain the technical and economic effect of accounting
the
inelastic
material
deformat
ion
in
reinforced concrete
during th
e static analysis of
constructions
.
q
l
l
Task
9
(
building
mechanics
+
metal
constructions).
De
f
ine the effort
,
find
the
section and
test
the
support
capacity of the
tie

beam
with
parallel
chords
.
T
he
chord
has a constant cross

section along the
truss
length and is
composed of two parts.
Chord m
aterial
is
steel
C
.
C
alculated
nod
al
load
is
F=6
0
kN
.
Task
10
(
building
mechanics
+
wooden and plastic
constructions).
Test
the
s
tiffness
of
top
chord
rectangular cross

section of
the laminated
wood
segmental
truss
. The
cross

section
width
is
14cm, height
is
26cm
.
Design strength
of
the
second

rate
wood
is
R
c
=15MPa
.
Design
linear load on the
truss is
q=
11
kN/m
.
The
top
chord
is propp
ed
of the plane
by 5
m
purlin
s.
Task
11
(
building
mechanics
+
soil mechanics
+ foundations
).
In a single

span industrial building with a rigid con
crete frame
t
he area of base
of the
post foundations
,
laid at a depth of
d=2.55m
, is
A=6.48m
2
;
the pressure under the
foundation base
is
p=300kPa
;
the
specific gravity
of soil above the base
is
γ=11kN/m
. The
base represented by an inhomogeneous layer of sa
nd
s
. Deformation
soil
modulus
(1 and 2)
a
t the
foundation
base are
E
1
=30MP
a
and
E
2
=40MP
a
,
respectively
.
Using the
method of
equivalent layer
,
define the foundations
settlements
and
make
a
design
diagram
for the
determination of additional
frame
points, ari
sing
because of the settlement
difference.
Take
the ratio of the equivalent layer
of
05
.
1
m
А
if
the Poisson's ratio of soil
is
2
.
0
;
ratio is
9
.
0
.
Task
12
(
soil mechanics
+ foundations +
reinforced
concrete
con
structions).
Check the
size
correctness of the monolithic
reinforced
concrete foundation
base of
the
industrial building
without
cellars
for
the column
with the
cross section
of
300
x
300 mm
.
Make the capacity calculation
of
the foundation. Shuttering
founda
tion
size
s
are shown in
Figure (planning mark
is
0.0
).
The standard
centered column load
in the
top

edge
foundation level
is
N=1
,
320kN
.
The length of
the building bay is
L=72m
, the
building
height
is
H=18m
. Engineering

geological conditions of the
building
area have
the following data:
there are the grounds
with
the
average bulk density
of
γ
1
=1
7
kN/m
3
above the foundation base
;
there
is
the
clay
loam with
the
bulk density
of
γ=
20
kN/m
3
,
with the
angle of internal friction
of
22
and
adhesion
of
c=28kPa
below the
foundation
base
;
flow index
is
3
,
0
L
J
.
900
450
450
1800
400
450
900
2100
1050
1050
900
900
300
300
300
300
300
300
700
2400
 0,15
 2,55
Task
13
(
soil mechanics
+ foundations +
reinforced
concrete
constructions).
De
f
ine
footing
depth and breadth
of the
outside

wall
precast
continuous
footi
ng
of
the
brick building.
The length of the building
is
L=10 m
, height
is
H=30m
,
outside

wall
thickness
is
0
.
51m
. The building has a
cellar with
t
he
2,2m
reference mark
of the cellar
floor
.
Ground

floor
floor
m
ark
0.0 is
h=0.6m
higher than planning mark
.
R
ated load on the
top
foundation
edge
is
N=376kN/r
m
.
Standard
freezing depth
is
d
fn
=
1
.
3m
,
calculated
average daily
temperature in the
cellar
is
t=+10
°
C
.
Ground conditions of the
building bay
:
there is the earth fill
with
the
specific density
of
γ
1
=1
6
kN/m
3
f
rom the surface to the 1.0m depth
;
there is the
high

plastic
clay loam with
the
index of liquidity of
J
2
=0
.
30
,
with
the specific density of
γ
2
=
20
kN/m
3
,
with
adhesion of
c=2
2.5
kPa
and the
angle of internal friction
of
21
°
till 5m depth bel
ow
the foundation
base
.
Task
14
(
soil mechanics
+ foundations
).
Using
the
method of layer

by

layer
summation de
f
ine the
settlement
of the
continuous
footing
with the
width
of
B=1
.
6m
,
the
continuous
footing
is
at
the
depth of
d=
2.0m
. The
pressure under the foundation base
is
p=210kPa
.
There are the grounds with the average
bulk
density of
γ
1
=17kN/m
3
above the foundation base
.
There are
sandy loam
layers with the
thickness of
h=1
.
6m
and the
deformation modulus
of
E=12MPa
under
the foundation base
.
There is a
high seam
of large compact sends
with
the
deformation modulus
of
E=50MPa
.
T
ake into
consideration
that
the foundation settlement
happens
mainly due to
sandy loam
compaction, i.e.
limit the depth of the
compressible thickness
with the
value
of
H
c
=1
.
6m
.
zp
(
кПа)
Task
15
(
soil mechanics
+ foundations +
concrete
constructi
ons).
Define
active and passive
ground
pressure on a massive smooth re
vetment
wall and
calculate the stability factor
of the wall
k
st
using
the
in

plane shear
scheme
.
Scheme
for
the
calculation
is
shown in Fig
ure.
Use
the follo
wing characteristics of
grounds
and the
wall
foundation in accordance with the
numbering of layers in the scheme:
γ
1
=
20.2
kN/m
3
;
0
1
32
;
γ
2
=
20.5
kN/m
3
;
0
2
35
;
γ
3
=
20.0
kN/m
3
;
0
3
30
.
S
pecific
concrete
density
in the
w
all
body is
3
/
22
m
кN
,
the
friction
coefficient of
the
wall
material on the
base
ground
is
f=0
.
50
.
Task
16
(
architecture
+ reinforced concrete constructions).
1.
According to the
space

planning decision
n
ame
the types of one

story frame industri
al
buildings depending on the characteristics of the
manufacturing
process. Describe the types of
buildings and provide the relevant
diagrams
.
2.
Make
the diagram
of
the diameter
of double

span single

storey industrial building with
overhead cranes
and
wit
h the
construction
s
made
of
p
recast
reinforced
concrete.
3.
F
ormulate the
concept
of
the
groups of the ultimate state of concrete and reinforced
concrete
con
struct
ion
s.
Name
the main
procedures of designing
for
concrete and reinforced concrete
con
struct
ion
s in accordance
with
Construction Rules and Regulations
2.03
.01

84.
Concrete and
reinforced concrete
constructions
.
Task
17
(
architecture
+ reinforced concrete constructions).
State
the
packaging approach
for
the precast reinforced concrete frame
of civil
building,
structural schemes
and
basic information
about
frame
design
.
Stages of
the
test
:
1. C
onditions determining the
selection
of structural frame scheme
of
the
building
.
2.
S
tructural
scheme
s
of frame buildings.
3.
Structural elements and their role i
n providing
the
three

dimensional
rigidity of the
building.
Task
18
(
architecture
+
metal
constructions).
Show
the
covering
process of
the heated one

story industrial building with a
galvanized profiled
fl
ats
on
the purlins
.
R
oof truss
is made of steel, th
e span is
24m with
parallel
chord
s
;
the slope of the
top chord
is
1
.
5%
;
the truss has
a triangular
truss web
with
back brace
s
.
Show
in
the section the composition and
function
of the
roof
elements.
According to the strength
condition
s,
find
the
purlin
sect
ion with the following data:
step
of
trusses
is
6m;
size of the panels of the
top
chord (step runs)
is
3m;
purlin
material
is
steel
C
245;
design load on the cover (including snow loads)
is
3
.
2kN/m
2
.
The calculation must take into account limited plastic de
formation
s
.
Task
19
(
architecture
+
building technology
).
Describe the
structural

technological types of monolithic and precast

monolithic
buildings,
areas of their
applications,
and
lift

slab method
of
building
erection
.
Stages of the test
1.
Building sys
tems used for
the
buildings
mentioned above
.
2. Application
areas.
3.
I
ndustrial methods of monolithic construction.
4.
L
ift

slab method
in
building
erection technology.
Task
20
(
building materials
+
wooden and plastic
constructions).
Given: t
hree

layer plastic
prevention
plate
;
it is
consist of
the
clothing
of
sheet
glass

reinforced polyester
and
average

level
styrene
polyfoam
of
class
50. De
f
ine the
polyfoam
thickness
on the basis of its
heat and physical
properties for
Moscow
climatic zone.
F
lagstone
clothing
is negligible
.
Then specify the stages of static design calculations.
Task
21
(
building materials
+
reinforced concrete constructions).
1.
How much time does
the
concrete strength
need to increase the strength in a more
intensive way i
n normal natural conditions? The concrete is
made
of
Portland cement
.
How
to determine
analytically
the
strength
for such
concrete
at the age of
t
days? How can
the
concrete strength
of a construction
be
evaluate
d
experimentally?
2.
D
e
f
ine the bending mome
nt in section I

I
f
or centrally loaded foundation
with the
strength
F
act
=1200kN
at its
base
.
De
f
ine the
size
of the longitudinal reinforcement
A
s
if the
adopted
class
of armature is
A

II and
the
arm of
internal
couple of forces
is
Z=0.9h
0
.
Give
the
diagram
of the longitudinal reinforcement of the foundation.
Task
22
(
building materials
and products
+
building technology
).
Give
a detailed scheme for calculating the
concrete
composition. Concrete is designed
for
foundation pour
, o
perating under the influence of groundwater.
T
he strength
class
of
concrete
is
M200.
Minimum
design
cross

section
is
400mm, minimum distance between
reinforcing bar
s
is
150mm. Concrete is expected to be laid with the help of
concrete
vibrator
y machine
s.
Ta
sk
23
(
building materials
and products
+
building technology
).
Erect the
superstructure
of the
eight

storey residential brick home in
the
central
part
of
Russia in winter.
Name
the
requirements for
building material
s
, additional structural and technologica
l
solutions
and the
methods of quality control during
o
perations and before
coming the
positive temperatures
.
Task
24
(
building materials
and products
+
metal
constructions
).
Make
stress

strain diagram
of
low

carbon steel (
diagram
"load
–
strain"
).
Show
on
the
diagram
the
yield
point
o
f steel
σ
and tensile strength
σ
u
.
Define w
hat is taken as
standard
resistance
and
determine the design resistance of steel
.
Define
the approximate carbon
content
in the low

carbon
steel (steel
C
245).
Task
25
(
reinforced concr
ete constructions
+
building technology
).
1.
De
f
ine the carrying capacity of
the short
reinforced concrete column of rectangular
section,
which is
centrally loaded by
the
force
F
.
S
ection
sizes are
b
col
х
h
col
=40
х
40cm
.
Concrete
of
the post of B20 cla
ss
of
compression, longitudinal reinforcement
is made of
4
bars of 20mm diameter
(
class AIII
)
.
L
ong

acting
action
load
.
2.
Explain the functionality of transverse reinforcement in the column.
3.
Provide
tensile
and compression
stress

strain diagram
s for concrete
,
reinforcing
steel
with
physical yield
line
.
4.
What devices are used for temporary f
ixing of columns in the
socket

type
foundation
s
?
When
overlying
structure
s
can be installed
on these columns
?
Task
26
(
metal
constructions
+
building technology
).
Constru
ct
tie bar
joint
of the
welded
fringe
steel beam
s
which is joined with
the
column
. The
beam
s
flank
to
the column.
Calculate the attachment of the
carrying
table
(de
f
ine the height of the table
h
tb
) to the
column flange
using
the following initial data:

e
nd
reaction of the beam
is
F=400kN
;

b
eam
is
composed of three sheets (sheet
booms are
300
x
16mm
, wall
is the
sheet
of
1000
x
10mm
;

thickness of the
butt knife

edge o
f the beam
is
220mm
;

thickness of the edge
is
20mm
;

I

section steel column (wall
is the
sheet
of
380
x
10mm
,
flang
es
are
the sheets
of
3
0
0
x
1
2
mm
);

m
aterial
of the
column
is steel
C235;

carrying
table is attached to the column
fringe with
side

lap weld
and
fillet weld
;
the
manual welding
is used;
electrode type
is
E42.
Describe the tec
hnology of steel
beam
erection if the beams are s
upport
ed by
the
carry
ing column tables.
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