: .

: : . ( + ( ( ( .

: : ) (V ). (M, x My1.

). (ex , ey2.

3. .

4. )(V ) (M, x My .=q

5. ) (q ) (qa . qmax q min

V V .ex V .e y 6 / 2B.L BL2 / 6 BL

q min

q min

X

q max q max

y

q min

q max

: : ( ( (

( .

: . \b = 3b

: = Wm 2 qn S 3

-

:= M Wn .S 212

-

:d = M b

-

: = Ws 1 qn S 2

-

V = 0.6 Ws S

-

=d V 0.9 c b

:

. :+ V p = V q (b 2 2 )d 3

-

-

:= qp Vp ) 2d (l + b +1.33 d

. =h S S 6 8

:= As M j fs d

)8.0%(

.

: . )8.0%( .

: : : 1c 2c 3c 4c 5c 6c 7c 8c 9c 01c 11c 21c 31c 41c 51c 61c 71c 81c 91c 02c 12c 22c 32c 42c 52c 62c 72c 82c 92c 03c 13c 23c 33c 43c 53c 63c 73c 83c 93c 43.39 40.64 60.04 42.52 93.35 22.24 58.94 60.15 18.33 31.97 81.301 6.18 73.74 31.721 20.211 94.201 11.19 58.08 6.011 4.68 5.83 2.86 2.86 8.66 2.25 75.211 7.77 7.38 89 8.15 5.95 88.29 88.97 25.46 57.311 8.84 6.43 86 31.121 )Yi (m 0 5 573.8 575.11 577.41 579.71 508.12 536.52 514.92 0 5 573.8 575.11 577.41 579.71 508.12 536.52 0 514.92 5 573.8 577.41 579.71 508.12 536.52 514.92 0 5 573.8 508.12 536.52 514.92 0 5 573.8 508.12 0 5 )Xi (m 0 0 0 0 0 0 0 0 0 2.3 2.3 2.3 2.3 2.3 2.3 2.3 2.3 2.3 53.6 53.6 53.6 53.6 53.6 53.6 53.6 53.6 53.6 51.01 51.01 51.01 51.01 51.01 51.01 54.31 54.31 54.31 54.31 51.61 51.61 Fi*Yi 0 2.032 5205.533 351.292 52738.887 5409.857 52979.6801 1329.8031 51125.499 0 9.515 4.386 57703.845 57543.8781 5955.3102 54497.4322 58406.5332 0 992.3523 234 5734.223 0 556.7001 37.0021 122.8311 59137.5882 5545.5822 0 094 528.334 5793.7921 8879.0832 2076.9432 0 57.865 7.804 354.457 0 56.506 Fi*Xi 0 0 0 0 0 0 0 0 0 612.352 671.033 21.162 485.151 618.604 464.853 869.723 255.192 27.852 13.207 46.845 574.442 70.334 70.334 81.424 74.133 5918.417 593.394 555.948 7.499 77.525 529.306 237.249 287.018 497.768 839.9251 63.656 73.564 2.8901 52.6591

04c 14c 24c 34c 44c 54c 64c 74c 84c 94c 05c 15c 25c 35c 45c 55c 65c 75c 85c 95c 06c 16c 26c 36c 46c 56c 66c 76c 86c 96c 07c 17c 27c 37c = f

9.35 6.43 38.17 87.16 3.63 3.63 2.83 15 5.46 72.38 61.88 84.75 25.15 42.29 24.39 22.85 48.27 2.88 67.44 61.201 5.66 2.46 1.39 14.74 68.57 7.76 24.77 18.68 48.67 83.33 37.301 78.521 70.321 21.76 4.271 69.696 91.674 68.2956

573.8 508.12 0 5 573.8 575.11 577.41 579.71 508.12 536.52 514.92 0 5 508.12 536.52 514.92 0 5 508.12 536.52 514.92 0 5 573.8 575.11 577.41 579.71 508.12 536.52 514.92 575.11 577.41 579.71 90.51 16.52 36.7

51.61 51.61 54.91 54.91 54.91 54.91 54.91 54.91 54.91 54.91 54.91 57.22 57.22 57.22 57.22 57.22 30.62 30.62 30.62 30.62 30.62 53.92 53.92 53.92 53.92 53.92 53.92 53.92 53.92 53.92 83.42 83.42 83.42 83.42 58.21 8.41 39.12

5214.154 354.457 0 9.803 5210.403 5271.024 504.465 527.619 5224.6041 54626.4312 4622.3952 0 6.752 2392.1102 7128.4932 3145.2171 0 144 8199.579 6178.8162 5790.6591 0 5.564 57850.793 5970.878 5762.0001 5426.1931 50298.2981 4397.9691 7278.189 0 52549.6541 52953.8181 284.6021 615.1062 6541.94871 7923.3363 56614.68579

584.078 97.855 490.7931 126.1021 530.607 530.607 99.247 59.199 525.4521 206.9161 217.4171 76.7031 80.2711 64.8902 503.5212 505.4231 520.6981 648.5922 301.5611 522.9562 599.0371 72.4881 584.2372 484.1931 194.6222 599.6891 772.2722 478.7452 452.5522 307.979 739.8252 117.8603 744.0003 683.6361 43.5122 10.51301 58.24401 89.98299

( ( := Ym y .Yi F F

= Xm

x .X i F F

: =Y m =X m 14.802m 15.060m :=

ton

68.2956 f -

=A

V qsoil

= 1 kg/cm2 = 10 t/ m2 q soil=A 8. 9 6 25 6 2 =6 9 .2 6 m 5 8 1 0

B=L = 25.677 m B=L = 29.4 m 1m 4.03 =. m B=L -

X,Y : Xc = 15.2 m Yc = 15.2 m . : ex = 15.06 15.2 = - 0.14 m ey = 14.082 15.2 = -1.118 m :=q=q-

-

V V .ex V .e y 6 / 2B.L BL2 / 6 BL

68. 2956 ) 811.1 ( * 68. 2956 )41.0( * 68. 2956 4. 03 * 4. 03 6 / 3 4. 03 6 / 3 4. 03

2qmax = 8.877 t/m 2qmin = 5.334 t/m

= 778.8 > qa = 10 qmax .

:X : bx = 3*35=105 cm :

-

2 Wx m = * qmax * S x 3

2 Wxm = * 8.877 * 3.8 = 22.488 t / m 3 := Mx Wn .S x 212

= Mx

28.3 * 884. 22 = 27 .061 t.m 21

=

51 + 51

1=

s c 3

=2 c51 504.0 = 0891 + 51 09

d =

M b

: :568.0=

=

252.0=

:* 252.0 = d 01* 160.72 = 40.456 cm 5015

: = Ws 1 1 qn S = 8.877 3.8 = 16 .866 t / m 2 2

-

V = 0.6 Ws S = 0.6 16 .866 3.8 = 38 .454 t

-

=d V 0.9 c b

-

27.0 =

2 f c = 0.72 * 200 =10 .182 kg / cm

3 01* 454. 83 =d = 40 .059 cm 501* 281. 01* 9.0

:Y by = 3*44 = 132 cm Sy = 5 m :

= Wy m

2 * qmax * S y 3

= Wx m

2 * 8.877 * 5 = 29 .59 t / m 3

:= My Wn .S y 212

= Mx

25 * 95. 92 = 61 .646 t.m 21

d =

M b5 01* 646.16 = 54.459 cm 231

* 252.0 = d

:

: -

= Ws

1 1 qn S = 8.877 5 = 22 .193 t / m 2 2

V = 0.6 Ws S = 0.6 22 .193 5 = 66 .578 t

-

=d V 0.9 c b

-

27.0 =

2 f c = 0.72 * 200 =10 .182 kg / cm

=d

3 01* 875. 66 = 55 .04 cm 231* 281. 01* 9.0

: H = 60 cm

: - d = 55 cm

-

2 2 ) V p = V q (b + d 3

41 C 31.721 . ton . X2 413. 901 = 2 ) 55.0 * + 50.1( * 778.8 31. 721 = V p 3 ton

= qp Vp ) 2d (l + b +1.33 d

-

= qp

413901 = 6.284 kg / cm 2 < 10 .182 ok ) 55 * 33.1+ 52 + 06( * 55 * 2

. d = 55 cm 06 . cm 005 190.9 = 55 = (h S S ) 6 8 oK

: : X := As M 5 01* 160. 72 = 2 = 27 .61 cm 55 * 0891* 9.0 j f s d

9 2H 18 mm / ml = 28.27 cm 81 4H 81. 5H : 2AS1 = 0.3% Ac = 0.003*100* 60 = 18 cm

29H16 mm / ml =18.1 cm :Y := As M 5 01* 646. 16 = 2 = 62 .898 cm 55 * 0891* 9.0 j f s d

2cm

= 2.36 14H24 mm / ml :

29H16 mm / ml =18.1 cm

: 2AS1 = 0.3% Ac = 0.003*100* 60 = 18 cm

29H16 mm / ml =18.1 cm