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    Using the Ultimate Limit Design Method

    Ver. 5.6

    by

    Eng. Mahmoud M. El-Kateb

    Structural Engineering Dept.

    Faculty of Engineering - Ain Shams University

    * Calculation of coefficients

    * Design of slabs

    * Design of flat slabs

    * Design of beams

    * Design of sections under M!

    * Chec" 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 stra# footings

    * Design of retaining $alls

    * Deflection of cantile%ers* Deflection of sim#les

    &einforced Concrete Design'

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    Concrete design according to the Egyptian code 1995.

    By: Eng. Mahmoud El-Kateb

    * Calculation of Coeffecients

    * (ro)ect

    Hollo !labs:

    AreaWeb breadth Spacing Thick Slab th F.C L.L One way Two way

    b (cm) e (cm) t (cm)

    1 12 40 32 7 150 200 1.237 1.385

    2 12 40 27 7 150 200 1.129 1.250

    3 12 40 30 5 150 200 1.169 1.318

    4 12 40 32 7 150 200 1.237 1.385

    5 12 40 32 7 150 200 1.237 1.385

    !labs:

    AreaLong span Short span Code o practice !arc"s #rasho

    Span (m) contin. Span (m) contin.

    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 0.2915 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:

    AreaLoad on Long Short Load coe. Load distrib"tion or

    span (m) span (m) shear moment shear (t$m%) moment (t$m%)

    1 0.85 5 4 0.600 0.787 1.020 1.337

    2 0.85 5 4 0.600 0.787 1.020 1.337

    3 0.85 5 4 0.600 0.787 1.020 1.337

    4 0.85 5 4 0.600 0.787 1.020 1.337

    5 0.85 5 4 0.600 0.787 1.020 1.337

    6 0.85 5 4 0.600 0.787 1.020 1.337

    7 0.85 5 4 0.600 0.787 1.020 1.337

    8 0.85 5 4 0.600 0.787 1.020 1.337

    9 0.85 5 4 0.600 0.787 1.020 1.337 10 0.85 5 4 0.600 0.787 1.020 1.337

    ts(cm) (kg$m&) (kg$m&) W"(t$m%) W"(t$m

    &)

    slab (t$m&)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of +labs

    * (ro)ect

    &&'

    **

    Sec.+lt. !oment ,readth -epth

    C /As +sed

    0t. $m 1otesb (cm) d (cm) As

    1 6.87 100 16 2.896 0.732 16.29 2.40 16.29 15 12 sa"e

    2 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e3 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    4 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    5 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    6 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    7 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    8 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    9 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    10 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    11 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    12 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    13 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    14 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    15 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    16 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    17 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    18 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    19 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    20 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    21 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    22 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    23 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    24 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    25 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    26 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    27 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    28 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    29 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    30 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    31 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    32 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    Asmin

    !"(m.t) (cm&) (cm&)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    33 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

    34 2 100 12 4.025 0.805 5.75 1.80 5.75 6 12 sa"e

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of ,lat +lab

    * (ro)ect

    &&'

    **

    !od"le3 Long direction 6 m Short direc. 4 m

    !arginal beams3 )4es &)1o 1

    Col"mn dim.3 Long direction 55 cm Short direc. 55 cm

    Slab thickness3 18 cm

    Li5e load3 100 Walls load3 0

    1

    Long direction 6.7 7.6

    Col"mn strip 6.7 .87

    Long direction .7 &.9

    Field strip .7 &.9

    Short direction &.87 6.6

    Col"mn strip &.87 &.67'

    Short direction .89 .68

    Field strip .89 .69'

    Sec.+lt. !oment ,readth -epth

    C /As +sed

    0t. $m 1otesb (cm) d (cm) As

    1 3.50 200 18 6.454 0.826 3.27 5.40 5.40 2 16 sa"e

    2 4.76 200 18 5.534 0.826 4.45 5.40 5.40 3 16 sa"e

    3 3.97 200 18 6.063 0.826 3.71 5.40 5.40 2 16 sa"e

    4 7.14 200 18 4.519 0.819 6.72 5.40 6.72 4 16 sa"e

    5 3.17 200 18 6.778 0.826 2.96 5.40 5.40 3 12 sa"e

    6 3.17 200 18 6.778 0.826 2.96 5.40 5.40 3 12 sa"e

    7 2.38 200 18 7.827 0.826 2.22 5.40 5.40 2 12 sa"e

    8 2.38 200 18 7.827 0.826 2.22 5.40 5.40 2 12 sa"e

    9 2.97 300 18 8.581 0.826 1.85 8.10 8.10 2 12 sa"e

    10 2.97 300 18 8.581 0.826 1.85 8.10 8.10 2 12 sa"e

    11 2.48 300 18 9.400 0.826 1.54 8.10 8.10 2 12 sa"e

    12 4.46 300 18 7.006 0.826 2.77 8.10 8.10 3 12 sa"e

    13 1.98 300 18 10.509 0.826 1.23 8.10 8.10 2 12 sa"e14 1.98 300 18 10.509 0.826 1.23 8.10 8.10 2 12 sa"e

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    kg/m2 kg/m2

    Slab load Ws"

    2 t$m&

    Asmin

    !"(m.t) (cm&) (cm&)

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    15

    16

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    15 1.49 300 18 12.135 0.826 0.92 8.10 8.10 1 12 sa"e

    16 1.49 300 18 12.135 0.826 0.92 8.10 8.10 1 12 sa"e

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of eams

    * (ro)ect H# $%& '# BE$M! () $*CH !#$B

    HAMED HAMED

    &'*

    **

    Sec.+lt. !oment ,readth Comp.l. -epth

    C /+sed

    0b (cm) , (cm) d (cm) As As

    1 6.87 100 100 16 3.052 0.749 1 5.93 4.89 15.93 8

    2 6.87 100 100 16 3.052 0.749 1 5.93 4.89 15.93 8

    3 5 25 125 55 13.750 0.826 3.06 4.07 4.07 4

    4 7.7 25 25 55 4.955 0.826 4.71 4.20 4.71 3

    5 5.5 25 25 55 5.863 0.826 3.36 4.20 4.20 3

    6 7.7 25 25 55 4.955 0.826 4.71 4.20 4.71 3

    7 10.91 25 25 55 4.163 0.810 6.81 4.20 6.81 4

    8 7.89 25 25 55 4.895 0.826 4.82 4.20 4.82 3

    9 15 25 25 55 3.550 0.784 9.66 4.20 9.66 5

    10 17.95 25 25 55 3.245 0.765 11.85 4.20 11.85 6

    11 19.55 25 25 55 3.110 0.754 1 3.10 4.20 13.10 7

    12 13.6 25 25 65 4.406 0.817 7.12 4.97 7.12 4

    13 14.1 25 25 65 4.328 0.815 7.40 4.97 7.40 4

    14 3 25 25 65 9.382 0.826 1.55 2.44 2.44 2

    15 10.58 25 25 65 4.996 0.826 5.47 4.97 5.47 3

    16 8.83 25 25 65 5.469 0.826 4.57 4.97 4.97 3

    17 10.58 25 25 65 4.996 0.826 5.47 4.97 5.47 3

    18 15.01 25 25 65 4.194 0.811 7.91 4.97 7.91 4

    19 10.84 25 25 65 4.936 0.826 5.61 4.97 5.61 3

    20 4 25 25 65 8.125 0.826 2.07 2.75 2.75 2

    21 24.68 25 25 65 3.271 0.767 1 3.75 4.97 13.75 7

    22 26.88 25 25 65 3.134 0.756 1 5.19 4.97 15.19 8

    23 12 25 25 65 4.691 0.823 6.23 4.97 6.23 4

    24 15 25 25 65 4.196 0.811 7.91 4.97 7.91 4

    25 15 25 25 65 4.196 0.811 7.91 4.97 7.91 4

    26 15 25 25 65 4.196 0.811 7.91 4.97 7.91 4

    27 15 25 25 65 4.196 0.811 7.91 4.97 7.91 4

    28 15 25 25 65 4.196 0.811 7.91 4.97 7.91 4

    29 15 25 25 55 3.550 0.784 9.66 4.20 9.66 5

    30 15 25 25 55 3.550 0.784 9.66 4.20 9.66 5

    31 15 25 25 55 3.550 0.784 9.66 4.20 9.66 5

    32 15 25 25 55 3.550 0.784 9.66 4.20 9.66 5

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    Asmin

    !"(m.t) (cm&)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    33 15 25 25 55 3.550 0.784 9.66 4.20 9.66 5

    34 15 25 25 55 3.550 0.784 9.66 4.20 9.66 5

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    . 1otes

    16 sa"e

    16 sa"e13 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

    16 sa"e

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    16 sa"e

    16 sa"e

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of +ec. under M!

    * (ro)ect

    &&'

    **

    Sec.+lt. !oment 1ormal ,readth -epth Thick

    ecc. C /+sed

    0t.b (cm) d (cm) t (cm) As

    1 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    2 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 163 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    4 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    5 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    6 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    7 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    8 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    9 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    10 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    11 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    12 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    13 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    14 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    15 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    16 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    17 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    18 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    19 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    20 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    21 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    22 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    23 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    24 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    25 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    26 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    27 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    28 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    29 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    30 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    31 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    32 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    Asmin

    !"(m.t) 1

    "(t) (cm&)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    33 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

    34 15 -20 25 65 70 Big 3.364 0.773 4.97 5.22 3 16

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Chec" shear in beams

    * (ro)ect

    &&'

    8.9

    &6**

    Sec.+lt. Shear ,readth -epth As no. o

    Stirr"ps 1otesb (cm) d (cm) S bran.

    1 15 25 65 9.23 0.056 2 6 8 sa"e

    2 15 25 65 9.23 0.056 2 6 8 sa"e

    3 15 25 65 9.23 0.056 2 6 8 sa"e

    4 15 25 65 9.23 0.056 2 6 8 sa"e

    5 15 25 65 9.23 0.056 2 6 8 sa"e

    6 15 25 65 9.23 0.056 2 6 8 sa"e

    7 15 25 65 9.23 0.056 2 6 8 sa"e

    8 15 25 65 9.23 0.056 2 6 8 sa"e

    9 15 25 65 9.23 0.056 2 6 8 sa"e

    10 15 25 65 9.23 0.056 2 6 8 sa"e

    11 15 25 65 9.23 0.056 2 6 8 sa"e

    12 15 25 65 9.23 0.056 2 6 8 sa"e

    13 15 25 65 9.23 0.056 2 6 8 sa"e

    14 15 25 65 9.23 0.056 2 6 8 sa"e

    15 15 25 65 9.23 0.056 2 6 8 sa"e

    16 15 25 65 9.23 0.056 2 6 8 sa"e

    17 15 25 65 9.23 0.056 2 6 8 sa"e

    18 15 25 65 9.23 0.056 2 6 8 sa"e

    19 15 25 65 9.23 0.056 2 6 8 sa"e

    20 15 25 65 9.23 0.056 2 6

    8 sa"e21 15 25 65 9.23 0.056 2 6 8 sa"e

    22 15 25 65 9.23 0.056 2 6 8 sa"e

    23 15 25 65 9.23 0.056 2 6 8 sa"e

    24 15 25 65 9.23 0.056 2 6 8 sa"e

    25 15 25 65 9.23 0.056 2 6 8 sa"e

    26 15 25 65 9.23 0.056 2 6 8 sa"e

    27 15 25 65 9.23 0.056 2 6 8 sa"e

    28 15 25 65 9.23 0.056 2 6 8 sa"e

    29 15 25 65 9.23 0.056 2 6 8 sa"e

    30 15 25 65 9.23 0.056 2 6 8 sa"e31 15 25 65 9.23 0.056 2 6 8 sa"e

    Concrete Fc"

    2 kg$cm&

    Concrete :all

    2 kg$cm&

    Stirr"ps Fy

    2 kg$cm&

    :"

    ;"(ton) (kg$cm&)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    32 15 25 65 9.23 0.056 2 6 8 sa"e

    33 15 25 65 9.23 0.056 2 6 8 sa"e

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    Concrete &esign using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design for orsion

    * (ro)ect

    &&'

    8.9

    &6**

    **

    +lt. torsional moment Sec. dim. +lt. shear orce

    Sec. b (cm) t (cm)

    3 30 70 12

    &ue to shear 1otes

    6.15 sa"e

    &ue to torsion 1otes

    14.29 sa"e

    Calculation o" stirrups:

    &ue to shear no. 1otes

    6.2 8

    &ue to torsion no. 1otes

    5.3 10

    Hori+ontal *"t. no.

    7 10

    Concrete Fc"

    2 kg$cm&

    Concrete :all

    2 kg$cm&

    Stirr"ps Fy

    2 kg$cm&

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of &ectangular Columns

    * (ro)ect

    &&'

    **

    Col.+lt. Load desired dim o col"mn As

    0einorcement b (cm) t (cm)

    1 25 50 12.50 7 16

    1 130 1.3 25 55 17.88 9 161.6 25 50 20.00 8 18

    1 25 85 21.25 11 16

    2 200 1.3 25 80 26.00 13 16

    1.6 25 75 30.00 12 18

    1 25 55 13.75 7 16

    3 120 1.3 25 50 16.25 9 16

    1.6 25 45 18.00 8 18

    1 25 65 16.25 9 16

    4 150 1.3 25 60 19.50 10 16

    1.6 25 55 22.00 9 18

    1 30 65 19.50 10 16

    5 180 1.3 30 60 23.40 12 16

    1.6 30 55 26.40 11 18

    1 30 75 22.50 12 16

    6 210 1.3 30 70 27.30 14 16

    1.6 30 65 31.20 13 18

    1 30 85 25.50 13 16

    7 240 1.3 30 80 31.20 16 16

    1.6 30 75 36.00 15 18

    1 30 100 30.00 15 16

    8 270 1.3 30 90 35.10 18 16

    1.6 30 85 40.80 17 18

    1 30 110 33.00 17 16

    9 300 1.3 30 100 39.00 20 16

    1.6 30 95 45.60 18 18

    1 30 120 36.00 18 16

    10 330 1.3 30 110 42.90 22 16

    1.6 30 105 50.40 20 18

    1 30 130 39.00 20 16

    11 360 1.3 30 120 46.80 24 16

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    1"(ton) (cm&)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    1.6 30 110 52.80 21 18

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of Circular Columns

    * (ro)ect

    &&'

    **

    Col.+lt. Load desired -iamter As

    0einorcement - (cm)

    1 40 12.56 7 16

    1 100 1.3 35 12.50 7 161.6 35 15.39 7 18

    1 40 12.56 7 16

    2 120 1.3 40 16.33 9 16

    1.6 40 20.10 8 18

    1 45 15.90 8 16

    3 150 1.3 45 20.67 11 16

    1.6 45 25.43 11 18

    1 50 19.63 10 16

    4 180 1.3 50 25.51 13 16

    1.6 50 31.40 13 18

    1 55 23.75 12 16

    5 210 1.3 55 30.87 16 16

    1.6 50 31.40 13 18

    1 60 28.26 15 16

    6 240 1.3 55 30.87 16 16

    1.6 55 37.99 15 18

    1 60 28.26 15 16

    7 270 1.3 60 36.74 19 16

    1.6 60 45.22 18 18

    1 65 33.17 17 16

    8 300 1.3 65 43.12 22 16

    1.6 60 45.22 18 18

    1 70 38.47 20 16

    9 330 1.3 65 43.12 22 16

    1.6 65 53.07 21 18

    1 70 38.47 20 16

    10 360 1.3 70 50.00 25 16

    1.6 65 53.07 21 18

    1 75 44.16 22 16

    11 390 1.3 70 50.00 25 16

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    1"(ton) (cm&)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    1.6 70 61.54 25 18

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of /solated footings

    * (ro)ect

    &&'

    **

    .'*

    Col"mn working load col"mn dim. e>tension

    oot b (cm) t (cm) o ?.C (cm)F 100 25 50 40

    &ims. o" ,.C : , (cm) L (cm)

    250 275

    &ims. o" *.C : , (cm) L (cm) t (cm)

    170 195 60

    1otes3.784 sa"e

    1otes

    5.550 sa"e

    Calculation o" *"t. : As $m

    7.27 8.25

    #ong *"t. : no. total no.

    5 16 /m 10

    !hort *"t. : no. total no.

    5 16 /m 11

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    ,earing capacity :all

    2 kg$cm&

    1w(ton)

    !hear stress g/cm

    0

    ,unching stress g/cm0

    Asmin

    cm2

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    Concrete design using the ultimate limit design method

    By: Eng. Mahmoud El-Kateb

    * Design of /solated footings under moment

    * (ro)ect

    &&'

    **

    .'*

    Col"mn working load !oment col"mn dim. e>tension

    oot b (cm) t (cm) o ?.C (cm)F 100 10 25 50 20

    &ims. o" ,.C : , (cm) L (cm)

    250 275 60

    Choose dim o ?.C 250 275

    &ims. o" *.C : , (cm) L (cm) t (cm)

    210 235 60

    1.77 !a"e case 01.14 %o tension

    1otes

    4.317 sa"e

    1otes

    6.148 sa"e

    Calculation o" *"t. : As $m

    9.18 8.25

    #ong *"t. : no. total no.

    5 16 /m 12

    !hort *"t. : no. total no.

    5 16 /m 13

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    ,earing capacity :all

    2 kg$cm&

    1w(ton) !w(m.t)

    Lmin

    (cm)

    Ma2. !tree g/cm0

    3Min. !tress g/cm0 3

    !hear stress g/cm0

    ,unching stress g/cm0

    Asmin

    cm2

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of Combined footings

    * (ro)ect

    &&'

    **

    .'*

    Col"mn working load col"mn dim. (cm) e>tension

    Col trans. long. o ?.C (cm)e>ter. 60 25 50 25

    inter. 84 25 70 25

    -istance rom c.g to c.g3 2.15 m

    0es"ltant o & loads is at3 1.25 m from extern! co!"mn

    &ims. o" ,.C : , (cm) L (cm)

    mnm"m 275 355

    c$o%en 230 420

    &ims. o" *.C : , (cm) L (cm) t (cm)

    180 370 60

    #ongitudinal direction:

    4op *"t. : no. total no.

    5 16 /m 11

    Bottom *"t. : no. total no.

    5 16 /m 11

    4ranserse direction:

    4op *"t. : no. total no.

    5 12 /m 20

    Bottom *"t. : no. total no.

    4 16 /m 16

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    ,earing capacity :all

    2 kg$cm&

    1w(ton)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of +tra# footings

    * (ro)ect

    &&'

    **

    &6**

    .'*

    Col"mn working load col"mn dim. (cm) e>tension

    Col trans. long. o ?.C (cm)

    e>ter. 71 50 25 0

    inter. 124 80 25 40

    -istance rom c.g to c.g3 4.14 m

    Take eccentricity 2 1.2 m

    &ims. o" ,.C : , (cm) L (cm)

    extern! footng 255 265

    ntern! footng 255 250

    &ims. o" *.C : , (cm) L (cm) t (cm)

    extern! footng 175 225 60

    ntern! footng 175 170 60

    #ongitudinal direction:

    &im. (" strap beam : b (cm) t (cm)

    50 90

    *"t. (" strap beam : no.

    &o' (ft. 7 22

    )ottom (ft. 5 16

    !tirrups : no.

    5 10 4 *rnc$e%

    4ranserse direction:

    Bottom *"t. : no.

    total no.extern! footng 5 16 /m 13

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    Stirr"ps Fy

    2 kg$cm&

    ,earing capacity :all

    2 kg$cm&

    1w(ton)

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    ntern! footng 5 16 /m 10

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

    * Design of &etaining 0alls

    * (ro)ect

    &&'

    **

    .** 0.25

    .9* 0.2 t/m+

    Cohesion o soil C 2 *.**

    && degree

    *.3.

    50

    3.

    30

    0.

    40

    1.55 0.70

    0.60

    0.302.50

    2.90

    )actor o" sa"ety against sliding 3 1.74

    )actor o" sa"ety against oerturning 3 3.07

    Ma2. stress on soil 3 0.62 !a"e stress %o tension on soil

    Min. stress on soil 3 0.42 !a"e stress %o tension on soil

    Calculation o" *"t. :

    C /

    )or all 5.34 4.52 0.819 8.23 3.30 8 12

    )or Base 11.73 7.62 0.826 7.17 8.25 5 16

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    ,earing capacity :all

    2 kg$cm&

    Soil density 2 ton$m

    kg$cm&

    Angle o riction 2

    Coe. o earth press"re @a2

    kg/cm2

    kg/cm2

    !"(m.t) As (cm&) As min

    (.,

    .,

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    Concrete design using the ultimate limit design method.

    By: Eng. Mahmoud El-Kateb

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    Concrete design according to the Egyptian code1995.

    By: Eng. Mahmoud El-Kateb

    * Deflection of Cantile%ers

    * (ro)ect

    &&'

    **

    ,readth -epth Thickness Span

    Sec. ,roperties o" sec: b (cm) d (cm) t (cm) L (m)

    25 65 70 2.4

    4op *"t.: no. area

    5 18 12.72

    Bottom *"t.: no. area

    5 18 12.72

    6oring loads:

    2.50 1.50

    7nitial de"lection: 8.15 cm

    $"ter long term: 8.0 cm

    $lloable alue: 8.5 cm

    %otes: !a"e

    Concrete Fc"

    2 kg$cm&

    Steel Fy

    2 kg$cm&

    cm2

    cm2

    ?-L

    (t) ?LL

    (t) W-L

    (t$m) WLL

    (t$m)

    'n

    D

    D

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    Concrete design according to the Egyptian code 1995.

    * Deflection of +im#les

    * (ro)ect

    &&'

    **

    ,readth -epth Thickness Span

    Sec. ,roperties o" sec: b (cm) d (cm) t (cm) L (m)

    25 65 70 6

    4op *"t.: no. area

    4 12 4.52

    Bottom *"t.: no. area

    5 16 10.05

    6oring loads:

    1.50 1.00 2.00 1.50

    7nitial de"lection: 8.5 cm

    $"ter long term: 1.5; cm

    $lloable alue: 0.