Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
Cracking moments, Icr, Ieff calculations
Calculate the depth of the compression zone (Z), the cracked moment (Mcr), the
effective moment of inertia (I eff), the stress in concrete (fc) and stresses in steel (fs) of
the cracked sections, 1, 2 and 3 shown below, given that;
- Bending moment Ma = 380 kN.m (working bending moment) , Modular ratio n = 10
- Concrete characteristic strength (fcu) = 30 N/mm2 - Steel yield stress (fy) = 420 N/mm2
-
B=500 mm
750 mm
M=250 kN.m.
120 mm
1100 mm
.
M=250 kN.m.
Ma =350
kN.m
750 mm
250 mm
As = 5Φ22
As\ = 2Φ16
Section (1)
Notes:
fc = Ma × z
Icr
250 mm
As = 5Φ22
As\= 0.0
Section (2)
250 mm
As = 5Φ22,
As\ = 2Φ12
Section (3)
, fs = n Ma (𝑑 − 𝑧)
Icr
3
3

 M cr 
 M cr  
I e ff  
 M 
 I g  1  
 M 
  I cr  Ig

a 
a  




f .Ig .
M cr  ctr
yt
Where fctr = 0.60
f cu N/mm2 , yt = distance from N.A. to the tension face.
z
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
Design of Short, Long Columns &Ecc. Sections
Question (1):
a- Using the ultimate limit state design method, design the following short columns
and draw with scale 1:20 column cross sections.
Sec
No.
1
PD.L
kN
2500
P L.L
kN
1200
fcu
MPa
25
fy
MPa
360
Types
Rect., b=350 mm, tied column.
2
3800
2200
30
420
Square, tied column
3
4200
3000
40
420
4
3500
2000
30
420
Square tied & Composite Column with
IPE Sec. No. 330 ( Ass = 6260 mm2 )
Circular, tied column
5
3500
2000
30
420
Circular, spiral column
6
4000
4000
40
420
Circular tied & spiral column &
Composite with 2C(UPN) No. 280
(Ass=5600 mm2)
b- It is required to check the minimum volumetric ratio of stirrups for all columns
c- Draw with reasonable scale details of column connections between successive
floors that have the same column cross sections, and draw the connection between
column and footing.
Question (2):
Figure 1 shows the layout of columns and shear walls at the ground floor. The building
consists of ground and 12 typical floors. All shear walls W1 30 x 300 cm, W2
dimensions 30 x 600 cm, W3 dimensions 30 x 900 cm as shown in figure, C= 750 x 750
mm. The live load= 3.0 kN/m2, Floor cover =2.0 kN/m2, brick walls =1.8 kN/m2, given
Concrete characteristic strength (fcu)
Steel yield stress (fy)
Height of the ground floor from ground level (± 0.00)
Height of typical floor
Slab thickness
All beams
Foundation level
The thickness of foundation (R.C + P.C)
=
=
=
=
=
=
=
=
35 MPa
400 MPa
4.00 m
3.25 m
240 mm
250 x 700 mm
- 2.00 m
1.50 m
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
i.
Check the bracing condition of the building in the both directions.
ii.
Calculate the additional moments – if any- for columns C1 on Axes ( A / 3 ) and between
Axes ( B - C ) & ( 2 – 4 )
If column height of the ground floor from ground level are increased to be to 7 m., calculate
the additional moments – if any - for column C1 between Axes ( B - C ) & ( 2 – 4 )
iii.
Figure 1
Question (3):
The following figure represents a structural plan and sectional elevation of a six – story
residential building, Given that:
1( fcu , = 35 N/ mm2
2( fy = 400 N / mm2
3( all beams are 250 x 700 mm,
4( Column width = 250 mm 5( Typical floor height = 3.5 m
6( Loads on beams are WD.L= 30 kN/m and WL.L = 18 kN/m.
It is required to calculate the straining actions for columns C1, C2, C4 and C6 at the ground
floor.
Cairo University
Faculty of Engineering
Structural Engineering Department
A
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
B
C
5.00
D
5.00
5.00
E
5.00
1
1
4.00
C3
C2
C1
2
2
4.00
C6
4.00
3
y
4
x
C5
Pd =750 kN
PL =400 kN
Pd =1100 kN
PL =600 kN
Pd =1100 kN
PL =600 kN
Pd =450 kN
PL =300 kN
Pd =750 kN
PL =400 kN
Pd =750 kN
PL =400 kN
A
B
C4
3
4
C
D
E
Structural plan of a five-story building
4.05 m
0.7 m
4.00
0.25
0.00
-0.75
Semell 250x600 mm
-1.75
Question (4):
If the calculated lateral drifts for columns in an unbraced building in a certain floor are
as given in table, it is required to calculate the additional moments acting on the interior
square column (C)
Column
x (mm)
y (mm)
C1
13
0.0
C2
25
12
C3
32
11
C4
35
20
C5
0.0
12
C6
40
25
C7
30
27
C8
75
12
C9
38
50
C10
26
40
Draw the column concrete section showing the direction and value of the additional
moments, knowing that (Pu = 1100 kN).
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
Assign. (3) – Eccentric sections
Question (1):
(a) Construct the interaction diagram for the show section given that
fcu=30 and fy =420 MPa
400 mm
(b) Use the constructed interaction diagram to check the safety of the
following cases of internal forces
1100
Case
1
2
3
4
5
Mu(kN.)
m)
Pu(kN)
90
5250
270
3750
320
4125
460
3735
600
125
(c) For rectangular section shown in the following Fig.2, calculate strain in top and bottom
reinforcement for the two shown locations of the neutral axis (Case1 and Case 2).
(d) For the second case (Case 2), calculate strength reduction factors for concrete and steel
reinforcement (  c &  s )
(e) Design the T-section in Figure (3) for Mu= 850 kN.m and Pu= - 150 kN.
(f) If the section in Figure (4) is subjected to Pu, Mux and Muy where Pu= 2750 kN, find the
maximum values of Mux and Muy that the section can resist.
300 mm
1000 mm
3 F 25
750
120
2 F 25
N 2 F 25
1000 mm
A
2 F 25
250
Figure (2)
Figure (3)
3 F 25
Figure (4)
Question (2):
For the reinforced concrete frame shown, design sections (1,4,6 and 10) given that
fcu=30 MPa and fy =420 MPa.
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
Assignment (4) Design of Frames
Question (1):
Figure (1) show in plan the main centerlines of an industrial building hall A, 7.50 m.
clear height, hall B 6.0 m clear height, Foundation level (-2.0 m), the columns are
allowed on the outside perimeter of the two halls It is required to:
A. Draw with a 1:100 scale the general layout (Plan and Sectional elevations in the
two directions X-X, Y-Y) to show clearly the dimensions of the reinforced concrete
elements of the chosen Frame systems.
Spacing between frames
Spacing between secondary beams
Span
Slab thickness
Secondary beams
tgirder
bgirder =bcolumn
tcolumn
=6m
=2.5 m
= 20.0 m
= 120 mm
= 200x600 mm
= 1.4 m
= 0.35m
= 0.70 / 1.10 m
Question (2):
Design only 2 frames from the shown frames in (figures 2.1: 2.6), it is required to:
a- Draw B.M.D, S.F.D and N.F.D. (The given loads are ultimate loads)
(fcu=30 MPa, fy=420 MPa)
b- Design all the critical sections of the frames.
c- Check of shear of the critical sections.
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
d- Design the hinged support.
e- Draw Reinforcement details (Elevation, cross-sections).
Figure ( 1 ) Frame 2.1
Wu = 80 kN/m
1
2.0
B
D
3
2.0
4.0
2
2.0
F
C
E
2.0
4
4.0
Xa = Xg = 400 kN
3.0
A
6.0
6.0
6.0
Figure
) Frame 2.2
Fig. 1(2
Frame
Figure (3 ) Frame 2.3
G
6.0
3.0
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
Figure Frame 2.4 (Tie = 188 kN)
Figure Frame 2.5
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
Figure Frame 2.6
Student 1-13
Frame 2.1
Frame 2.6
Student 14-27
Frame 2.2
Frame 2.5
Student 28-end
Frame 2.3
Frame 2.4
Cairo University
Faculty of Engineering
Structural Engineering Department
Reinforced Concrete Design
Third Year Civil 2024-2025
Assignment. (1,2,3,4 and 5)-Second terms
Assign. (5) Check deflections& Footing
Question No. (1)
a- Check code limits for long term Deflection of a 8.50 m span simply supported
beam with rectangular cross sections 250 *800 mm and As = 2500 mm2 & As’
= 600 mm2 and fcu = 30 N/mm2 & fy= 420 N/mm2 knowing that the service
loads are as follows:
i. All Dead Loads (including O.W. & finishes) = 30 kN/m.
ii. Total Live Loads = 8.0 kN/m.
b- For previous beam explain without calculation how to control deflection of beam
in case of unsafe check deflection.
c- For the cracked beam was, there are many types of cracks (structure and
nonstructural) state three type of each.
Question NO. (2)
For a simple beam with span 10.0 m. and cross section 40 x 100 cm in a structure
affecting by large deformations, given
Total uniform dead load = 30 kN/m
Total uniform live load = 10
kN/m
Finishes 30 % dead load
Bottom reinforcement = 8 Φ 22
Top reinforcement = 4 Φ 18
It is required to: 1. Calculate the instantaneous and longtime deflection at the mid span.
2. Check the deflections against code 2018 limits.
Question No. (3)
For an isolated footing of a square column (500 x 500 mm) that carries an
ultimate load of 3000 kN and allowable soil pressure =300 kN/m2. The
Dimension of plain concrete is 2750 x 2750 x100 mm and for RC is 2450 x
2450 x 450 mm and concrete cover 70 mm. fcu = 30 N/mm2 & fy= 420 N/mm2
(For the RC footing, design for flexure and draw the detail of footing ).
Question No. (4)
For the combined footing of the rectangular columns (300 x 600 mm),( 300
x800) that carries ultimate loads of Pu1=2500 kN and Pu2=3250 kN respectively,
the distance between the two columns is 400 cm. The allowable soil pressure
=200 kN/m2. fcu (Reinforced concrete) = 30 N/mm2, fcu (Plain concrete) = 20
N/mm2& fy= 420 N/mm2, design for flexure and draw the details of footing).