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للجميع
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* Calculation of coefficients
* Design of slabs
* Design of flat slabs
* Design of beams
* Design of sections under M,N
* Check shear in beams
* Design for torsion
* Design of rectangular columns
* Design of circular columns
* Design of isolated footings
* Design of isolated footings under moment
* Design of combined footings
* Design of strap footings
* Design of retaining walls
* Deflection of cantilevers
* Deflection of simples
Structural Engineering Dept.
Faculty of Engineering - Ain Shams University
Eng. Mahmoud M. El-Kateb
Reinforced Concrete Design©
by
Ver. 5.6
Using the Ultimate Limit Design Method
Concrete design according to the Egyptian code 1995.
* Calculation of Coeffecients
* Project :
Hollow Slabs:
Web breadth Spacing Thick Slab th F.C L.L
b (cm) e (cm) t (cm) ts (cm) (kg/m2) (kg/m
2)
1 12 40 32 7 150 200
2 12 40 27 7 150 200
3 12 40 30 5 150 200
4 12 40 32 7 150 200
5 12 40 32 7 150 200
Slabs:
Span (m) contin. Span (m) contin. a b a b a b
1 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
2 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
3 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
4 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
5 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
6 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
7 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
8 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
9 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
10 5 1 4 1 0.475 0.224 0.568 0.232 0.709 0.291
Beams:
Load on Long Short
slab (t/m2) span (m) span (m) shear moment
1 0.85 5 4 0.600 0.787
2 0.85 5 4 0.600 0.787
3 0.85 5 4 0.600 0.787
4 0.85 5 4 0.600 0.787
5 0.85 5 4 0.600 0.787
6 0.85 5 4 0.600 0.787
7 0.85 5 4 0.600 0.787
8 0.85 5 4 0.600 0.787
9 0.85 5 4 0.600 0.78710 0.85 5 4 0.600 0.787
Area
Area
Area
Two wayOne way
Wu (t/m`) Wu (t/m2)
1.237 1.385
1.020
1.020
1.020
1.020
1.020
1.020
1.020
1.020
1.337
1.337
1.337
1.337
1.337
1.337
1.237 1.3851.237 1.385
1.129 1.250
1.169 1.318
Long span Short span Code of practice Marcus Grashoff
1.020 1.3371.020 1.337
Load coeff. Load distribution for
shear (t/m`) moment (t/m`)
1.337
1.337
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Slabs
* Project :
Concrete Fcu = 225 kg/cm2
Steel Fy = 3600 kg/cm2
Ult. Moment Breadth Depth As Asmin Used
Mu (m.t) b (cm) d (cm) (cm2) (cm
2) As
1 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
2 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
3 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
4 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
5 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
6 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
7 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
8 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
9 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
10 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
11 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
12 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
13 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
14 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
15 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
16 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
17 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
18 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
19 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
20 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
21 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
22 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
23 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
24 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
25 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
26 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
27 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
28 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
29 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
30 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
31 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
32 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
33 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
34 2 100 12 4.025 0.805 5.75 1.80 5.75 6 f 12 safe
Sec. C1 J NotesRft. /m
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Flat Slab
* Project :
Concrete Fcu = 225 kg/cm2
Steel Fy = 3600 kg/cm2
Module: Long direction 6 m Short direc. 4.5 m
Marginal beams: 1)Yes 2)No 1
Column dim.: Long direction 55 cm Short direc. 55 cm
Slab thickness: 20 cm
Live load: 300 kg/m2
Walls load: 200 kg/m2
Slab load Wsu = 1.67 t/m2
Long direction 8.94 13.41
Column strip 8.94 7.45
Long direction 5.96 4.47
Field strip 5.96 4.47
Short direction 6.42 9.63
Column strip 6.42 5.35
Short direction 4.28 3.21
Field strip 4.28 3.21
Ult. Moment Breadth Depth As Asmin Used
Mu (m.t) b (cm) d (cm) (cm2) (cm
2) As
1 8.94 225 18 4.283 0.813 7.54 6.08 7.54 4 f 16 safe
2 8.94 225 18 4.283 0.813 7.54 6.08 7.54 4 f 16 safe
3 7.45 225 18 4.691 0.823 6.21 6.08 6.21 4 f 16 safe
4 13.41 225 18 3.497 0.781 11.77 6.08 11.77 6 f 16 safe
5 5.96 225 18 5.245 0.826 4.95 6.08 6.08 5 f 12 safe
6 5.96 225 18 5.245 0.826 4.95 6.08 6.08 5 f 12 safe
7 4.47 225 18 6.057 0.826 3.71 6.08 6.08 4 f 12 safe
8 4.47 225 18 6.057 0.826 3.71 6.08 6.08 4 f 12 safe
9 6.42 300 18 5.837 0.826 4.00 8.10 8.10 4 f 12 safe
10 6.42 300 18 5.837 0.826 4.00 8.10 8.10 4 f 12 safe
11 5.35 300 18 6.394 0.826 3.33 8.10 8.10 3 f 12 safe
12 9.63 300 18 4.766 0.825 6.01 8.10 8.10 6 f 12 safe
13 4.28 300 18 7.149 0.826 2.67 8.10 8.10 3 f 12 safe
14 4.28 300 18 7.149 0.826 2.67 8.10 8.10 3 f 12 safe
15 3.21 300 18 8.254 0.826 2.00 8.10 8.10 2 f 12 safe
16 3.21 300 18 8.254 0.826 2.00 8.10 8.10 2 f 12 safe
NotesSec. C1 J Rft. /m
1
2
3
4
5
6
7
8
9
10
11 12
13
14
15
16
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Beams
* Project :
Concrete Fcu = 250 kg/cm2
Steel Fy = 4200 kg/cm2
Ult. Moment Breadth Comp.fl. Depth Asmin Used
Mu (m.t) b (cm) B (cm) d (cm) (cm2) As
1 228.75 110 110 84 2.912 0.734 24.20 88.33 19 f 25 safe
2 555 250 250 84 2.819 0.723 55.00 #### 45 f 25 safe
3 514 230 230 84 2.810 0.721 50.60 #### 42 f 25 safe
4 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
5 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
6 69 60 65 50 2.426 0.648 7.86 50.69 11 f 25 unsafe
7 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
8 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
9 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
10 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
11 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
12 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
13 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
14 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
15 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
16 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
17 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
18 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
19 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
20 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
21 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
22 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
23 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
24 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
25 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
26 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
27 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
28 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
29 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
30 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
31 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
32 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
33 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
34 15 25 25 65 4.196 0.811 4.26 6.78 4 f 16 safe
Sec. C1 J NotesRft.
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Sec. under M,N
* Project :
Concrete Fcu = 225 kg/cm2
Steel Fy = 3600 kg/cm2
Ult. Moment Normal Breadth Depth Thick Asmin Used
Mu (m.t) Nu (t) b (cm) d (cm) t (cm) (cm2) As
1 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
2 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
3 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
4 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
5 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
6 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
7 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
8 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
9 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
10 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
11 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
12 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
13 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
14 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
15 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
16 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
17 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
18 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
19 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
20 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
21 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
22 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
23 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
24 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
25 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
26 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
27 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
28 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
29 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
30 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
31 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
32 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
33 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
34 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 f 16
Sec. ecc. C1 J Rft.
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Check shear in beams
* Project :
Concrete Fcu = 225 kg/cm2
Concrete qall = 9.186 kg/cm2
Stirrups Fy = 2400 kg/cm2
Ult. Shear Breadth Depth qu As no. of
Qu (ton) b (cm) d (cm) (kg/cm2) S bran.
1 15 25 65 9.23 0.056 2 6 f 8 safe
2 15 25 65 9.23 0.056 2 6 f 8 safe
3 15 25 65 9.23 0.056 2 6 f 8 safe
4 15 25 65 9.23 0.056 2 6 f 8 safe
5 15 25 65 9.23 0.056 2 6 f 8 safe
6 15 25 65 9.23 0.056 2 6 f 8 safe
7 15 25 65 9.23 0.056 2 6 f 8 safe
8 15 25 65 9.23 0.056 2 6 f 8 safe
9 15 25 65 9.23 0.056 2 6 f 8 safe
10 15 25 65 9.23 0.056 2 6 f 8 safe
11 15 25 65 9.23 0.056 2 6 f 8 safe
12 15 25 65 9.23 0.056 2 6 f 8 safe
13 15 25 65 9.23 0.056 2 6 f 8 safe
14 15 25 65 9.23 0.056 2 6 f 8 safe
15 15 25 65 9.23 0.056 2 6 f 8 safe
16 15 25 65 9.23 0.056 2 6 f 8 safe
17 15 25 65 9.23 0.056 2 6 f 8 safe
18 15 25 65 9.23 0.056 2 6 f 8 safe
19 15 25 65 9.23 0.056 2 6 f 8 safe
20 15 25 65 9.23 0.056 2 6 f 8 safe
21 15 25 65 9.23 0.056 2 6 f 8 safe
22 15 25 65 9.23 0.056 2 6 f 8 safe
23 15 25 65 9.23 0.056 2 6 f 8 safe
24 15 25 65 9.23 0.056 2 6 f 8 safe
25 15 25 65 9.23 0.056 2 6 f 8 safe
26 15 25 65 9.23 0.056 2 6 f 8 safe
27 15 25 65 9.23 0.056 2 6 f 8 safe
28 15 25 65 9.23 0.056 2 6 f 8 safe
29 15 25 65 9.23 0.056 2 6 f 8 safe
30 15 25 65 9.23 0.056 2 6 f 8 safe
31 15 25 65 9.23 0.056 2 6 f 8 safe
32 15 25 65 9.23 0.056 2 6 f 8 safe
33 15 25 65 9.23 0.056 2 6 f 8 safe
NotesSec. Stirrups
By: Eng. Mahmoud El-Kateb
Concrete Design using the ultimate limit design method.
* Design for Torsion
* Project :
Concrete Fcu = 225 kg/cm2
Concrete qall = 9.186 kg/cm2
Stirrups Fy = 2400 kg/cm2
Horizontal bars Fy = 3600 kg/cm2
Ult. torsional moment Ult. shear force
Sec. Mu (m.t) b (cm) t (cm) Qu (ton)
1 3 30 70 12
Due to shear qsu Notes
6.15 kg/cm2
safe
Due to torsion qtu Notes
14.29 kg/cm2
safe
Calculation of stirrups:
Due to shear no. f Notes
6.2 8
Due to torsion no. f Notes
5.3 10
Horizontal Rft. no. f
7 10
Sec. dim.
By: Eng. Mahmoud El-Kateb
Concrete Design using the ultimate limit design method.
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Rectangular Columns
* Project :
Concrete Fcu = 250 kg/cm2
Steel Fy = 4200 kg/cm2
Ult. Load desired As
Nu (ton) m % b (cm) t (cm) (cm2)
1 20 65 13.00 7 f 16
1 125 1.3 25 50 16.25 9 f 16
1.6 25 45 18.00 8 f 18
1 25 80 20.00 10 f 16
2 200 1.3 25 75 24.38 13 f 16
1.6 25 70 28.00 12 f 18
1 25 50 12.50 7 f 16
3 120 1.3 25 45 14.63 8 f 16
1.6 25 45 18.00 8 f 18
1 25 60 15.00 8 f 16
4 150 1.3 25 55 17.88 9 f 16
1.6 25 55 22.00 9 f 18
1 30 60 18.00 9 f 16
5 180 1.3 30 55 21.45 11 f 16
1.6 30 55 26.40 11 f 18
1 30 70 21.00 11 f 16
6 210 1.3 30 65 25.35 13 f 16
1.6 30 60 28.80 12 f 18
1 30 80 24.00 12 f 16
7 240 1.3 30 75 29.25 15 f 16
1.6 30 70 33.60 14 f 18
1 30 90 27.00 14 f 16
8 270 1.3 30 85 33.15 17 f 16
1.6 30 80 38.40 16 f 18
1 30 100 30.00 15 f 16
9 300 1.3 30 95 37.05 19 f 16
1.6 30 90 43.20 17 f 18
1 30 110 33.00 17 f 16
10 330 1.3 30 105 40.95 21 f 16
1.6 30 95 45.60 18 f 18
1 30 120 36.00 18 f 16
11 360 1.3 30 110 42.90 22 f 16
1.6 30 105 50.40 20 f 18
dim of columnCol. Reinforcement
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Circular Columns
* Project :
Concrete Fcu = 225 kg/cm2
Steel Fy = 3600 kg/cm2
Ult. Load desired Diamter As
Nu (ton) m % D (cm) (cm2)
1 40 12.56 7 f 16
1 100 1.3 35 12.50 7 f 16
1.6 35 15.39 7 f 18
1 40 12.56 7 f 16
2 120 1.3 40 16.33 9 f 16
1.6 40 20.10 8 f 18
1 45 15.90 8 f 16
3 150 1.3 45 20.67 11 f 16
1.6 45 25.43 11 f 18
1 50 19.63 10 f 16
4 180 1.3 50 25.51 13 f 16
1.6 50 31.40 13 f 18
1 55 23.75 12 f 16
5 210 1.3 55 30.87 16 f 16
1.6 50 31.40 13 f 18
1 60 28.26 15 f 16
6 240 1.3 55 30.87 16 f 16
1.6 55 37.99 15 f 18
1 60 28.26 15 f 16
7 270 1.3 60 36.74 19 f 16
1.6 60 45.22 18 f 18
1 65 33.17 17 f 16
8 300 1.3 65 43.12 22 f 16
1.6 60 45.22 18 f 18
1 70 38.47 20 f 16
9 330 1.3 65 43.12 22 f 16
1.6 65 53.07 21 f 18
1 70 38.47 20 f 16
10 360 1.3 70 50.00 25 f 16
1.6 65 53.07 21 f 18
1 75 44.16 22 f 16
11 390 1.3 70 50.00 25 f 16
1.6 70 61.54 25 f 18
Col. Reinforcement
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Isolated footings
* Project :
Concrete Fcu = 250 kg/cm2
Steel Fy = 4200 kg/cm2
Bearing capacity qall = 1.50 kg/cm2
Column working load extension
foot Nw (ton) b (cm) t (cm) of P.C (cm)
5ق 290 20 180 10
Dims. of P.C : B (cm) L (cm)
370 530
Dims. of R.C : B (cm) L (cm) t (cm)
350 510 80
Shear stress (kg/cm2) Notes
4.175 safe
Punching stress (kg/cm2) Notes
7.185 safe
Calculation of Rft. : As /m Asmin
12.75 11.25 cm2
Long Rft. : no. f total no.
6 18 /m 23
Short Rft. : no. f total no.
6 18 /m 32
column dim.
5ق
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method
* Design of Isolated footings under moment
* Project :
Concrete Fcu = 225 kg/cm2
Steel Fy = 3600 kg/cm2
Bearing capacity qall = 1.50 kg/cm2
Column working load Moment extension
foot Nw (ton) Mw (m.t) b (cm) t (cm) of P.C (cm)
F1 100 10 25 50 20
Dims. of P.C : B (cm) L (cm) Lmin (cm)
250 275 60
Choose dim of P.C 250 275
Dims. of R.C : B (cm) L (cm) t (cm)
210 235 60
Max. Stree (kg/cm2) = 1.77 Safe case (2)
Min. Stress (kg/cm2) = 1.14 No tension
Shear stress (kg/cm2) Notes
4.317 safe
Punching stress (kg/cm2) Notes
6.148 safe
Calculation of Rft. : As /m Asmin
9.18 8.25 cm2
Long Rft. : no. f total no.
5 16 /m 12
Short Rft. : no. f total no.
5 16 /m 13
column dim.
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Combined footings
* Project :
Concrete Fcu = 250 kg/cm2
Steel Fy = 4200 kg/cm2
Bearing capacity qall = 1.50 kg/cm2
Column working load column dim. (cm) extension
Col Nw (ton) trans. long. of P.C (cm)
exter. 35 30 40 40
inter. 25 26 26 40
Distance from c.g to c.g: 0.8 m
Resultant of 2 loads is at: 0.33 m from external column
Dims. of P.C : B (cm) L (cm)
minimum 215 190
chosen 185 220
Dims. of R.C : B (cm) L (cm) t (cm)
105 140 60
Longitudinal direction:
Top Rft. : no. f total no.
6 14 /m 8
Bottom Rft. : no. f total no.
6 14 /m 8
Transverse direction:
Top Rft. : no. f total no.
5 12 /m 9
Bottom Rft. : no. f total no.
6 14 /m 10
18ق
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Strap footings
* Project :
Concrete Fcu = 225 kg/cm2
Steel Fy = 3600 kg/cm2
Stirrups Fy = 2400 kg/cm2
Bearing capacity qall = 1.50 kg/cm2
Column working load column dim. (cm) extension
Col Nw (ton) trans. long. of P.C (cm)
exter. 71 50 25 0
inter. 124 80 25 40
Distance from c.g to c.g: 4.14 m
Take eccentricity = 1.2 m
Dims. of P.C : B (cm) L (cm)
external footing 255 265
internal footing 255 250
Dims. of R.C : B (cm) L (cm) t (cm)
external footing 175 225 60
internal footing 175 170 60
Longitudinal direction:
Dim. Of strap beam : b (cm) t (cm)
50 90
Rft. Of strap beam : no. f
Top Rft. 7 22
Bottom Rft. 5 16
Stirrups : no. f
5 10 4 branches
Transverse direction:
Bottom Rft. : no. f total no.
external footing 5 16 /m 13
internal footing 5 16 /m 10
By: Eng. Mahmoud El-Kateb
Concrete design using the ultimate limit design method.
* Design of Retaining Walls
* Project :
Concrete Fcu = 225 kg/cm2
Steel Fy = 3600 kg/cm2
Bearing capacity qall = 1.00 kg/cm2
0.25
Soil density g = 1.80 ton/m3 0.2 t/m'
Cohesion of soil C = 0.00 kg/cm2
Angle of friction d = 22 degree
Coeff. of earth pressure Ka = 0.3
3.5
0
3.3
0
0.4
0
1.55 0.70
0.60
0.30
2.50
2.90
Factor of safety against sliding = 1.74
Factor of safety against overturning = 3.07
Max. stress on soil = 0.62 kg/cm2
Safe stress No tension on soil
Min. stress on soil = 0.42 kg/cm2
Safe stress No tension on soil
Calculation of Rft. :
Mu (m.t) C1 J As (cm2) As min
For wall 5.34 4.52 0.819 8.23 3.30 8 f 12
For Base 11.73 7.62 0.826 7.17 8.25 5 f 16
R.C
P.C
By: Eng. Mahmoud El-Kateb
Concrete design according to the Egyptian code1995.
* Deflection of Cantilevers
* Project :
Concrete Fcu = 225 kg/cm2
Steel Fy = 3600 kg/cm2
Breadth Depth Thickness Span
Sec. Properties of sec: b (cm) d (cm) t (cm) L (m)
1 25 65 70 2.4
Top Rft.: no. f area
5 18 12.72 cm2
Bottom Rft.: no. f area
5 18 12.72 cm2
Working loads: PDL (t) PLL (t) WDL (t/m) WLL (t/m)
2.50 1.50
Initial deflection: 0.15 cm
After long term: 0.23 cm
Allowable value: 0.53 cm
Notes: Safe
Span
WDL+ WLL
PDL+ PLL
By: Eng. Mahmoud El-Kateb
Concrete design according to the Egyptian code 1995.
* Deflection of Simples
* Project :
Concrete Fcu = 250 kg/cm2
Steel Fy = 4200 kg/cm2
Breadth Depth Thickness Span
Sec. Properties of sec: b (cm) d (cm) t (cm) L (m)
1 200 34 37 10
Top Rft.: no. f area
16 14 24.62 cm2
Bottom Rft.: no. f area
48 20 150.72 cm2
Working loads: PDL (t) PLL (t) WDL (t/m) WLL (t/m)
0.00 0.00 3.83 3.66
Initial deflection: 4.21 cm
After long term: 8.10 cm
Allowable value: 4.00 cm
Notes: Unsafe
Span/2 Span/2
WDL+ WLL
PDL+ PLL
By: Eng. Mahmoud El-Kateb