Minaret Design Example

8/16/2019 Minaret Design Example

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1

1-

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2

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3

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4

2- ض :-

و ت و ر ى ر در وآ ل و ززل ح أ ر ر .

ر

ر

و دة ذج ر, م

ل

و

ء

وآ

د

أ

. و ر


5/19

5

3-

:-

3-1 و د -: أ أ د

3 - 1 - 1 - ر ب ق ). )46ر ر ع

C C

و46 m

D D

B B

A A


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6

3 - 1 - 2 - : -

و وأ ري، ل آ و :-

3 - 1 - 3 - : - )m4.5(, m)5(,ض .) m)5ل

د و ن و د و ) (س

3 - 1 - 4 - : رأ ن m)12,5(, ر ف آ و ن

sec(A-A). و ر أ ر )ء د رج أ ( أو ء

.و أ )(أ ر

SEC(D-D)

SEC(C-C)

SEC(A-A)

ي SEC (B-B)


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7

3 - 1 - 5 - :

د ر و ,ق)m)3ر ن آ و)cm65(, آو sec(B-B). ء و ) ( ب

3 - 1 - 6 - : - رو m)18(,ر ن و آ ف

)cm65(, آ )Csec(C- ي ب ء و ) ( م

- : و - 7 - 1 - 3 ر)m1,2( . وطر و

ي ب ) )م و ء


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3 - 1 - 8 : -

))cm52آ )m10(ر و ن آو )Dsec(D-. ب ) )م و ء

3 - 1 - 9 - : - ذ أ و

.) )cm35و )m2(ر ن ي ب ) )م

و ء


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9

3-2- زن -:ب

3 - 2 - 1 آ: - :

3 - 2 - 2 - - : ل

ل

ب

1 2 3 4 5 6 7 8

level H (m) KN/m KN/m N.O P (KN) Wt (KN) Wt (KN) Wt (KN)

ة 6 5.5135 0.96525 4.5 33.081 26.06175 2358.92 2418.063 ة 6.5 5.5135 0.96525 4.5 35.83775 28.23356 2555.49 2619.561

ء 3 5.5135 0.96525 4.5 16.5405 13.03088 243.36 272.9314 ء 1.2 5.5135 0.96525 4.5 6.6162 5.21235 79.344 91.17255

ي س د 1ء 6 5.5135 0.96525 4.5 33.081 26.06175 559.86 619.0028ي س د 2ء 6 5.5135 0.96525 4.5 33.081 26.06175 559.86 619.0028ي س د 3ء 6 5.5135 0.96525 4.5 33.081 26.06175 559.86 619.0028

و ر 1.2 5.5135 0.96525 4.5 6.6162 5.21235 761.5 773.3286 ء 7.6 5.5135 0.96525 4.5 41.9026 33.01155 659.359 734.2732

2.5 100 100

8866.338

ول ر :د ت ر ع ر :د ر ة: د : د ت ر د

: دس د ر: د : د ت س و : )د ، د ) د

ة ) ³ KN/m( أ 25

19.5يي ) ( 12.35ب

أ 17


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10

W=

(V)X

)ρρρρ(

v1=(2/3*ππππ*1.55³³³³-2/3*ππππ*1.5)+(1.55*p*2*0.35*1.05)=7.759 m³

أ نزو =w1w1=7.759*12.35=100 KN

=w2زنw2=(8*1.38*0.52*9.3*12.35)=659.359 KN

و ر =w3وزنw3=(0.165*1.2*2*ππππ*2.25*12.35)=34.57 KN

و ر =w4 w4=(ππππ/3*4.5²*6.75-ππππ/3*3.7²*5.5*-ππππ/4*2.4²*1.2)*12.35=726.93KNوزن

ي س د =w5وزنw5=(0.65*18*2*ππππ*1.85*12.35)=1679.59KN

ي =w6وزنw6=(0.65*3*8*1.6*12.35)=308.256KN

ة w7 =w7=(4.5*4.5-ππππ/4*2.4²)*(6.5+6)*25 =4914.41KNوزن

رج ) ) وزن ر ع رج = KN/m4.34367وزن

ت ر در = 4.5دة

و

در

=KN0.96525

) (=w9وزن =5.5135 kn/mي

w9=(ππππ/4*0.6²*19.5)= 5.5135 kn/m وز ن ع∑∑∑∑w====8866.338KN


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4- ذ ة -: ى

ز-4-1 ى

ب أ ل-4-1-1 ز :-

د زل ب أ ل د و UBC-97 )(,د ل :-

V min ≤ V ≤ V max

0.11Ca I Wt ≤ Cv I*Wt/R T ≤ 2.5 Ca I*Wt /R

ل WtعWt = 8866.338 kn

T = Ct (hn)¾ hn= 46mCt = 0.0488T = 0.862sec Z = 0.3 ( )

SD ( )) (

Cv ,CaCv= .54 Table 16-R , Ca= .36 Table 16-Q

I ( )I = 1 Table 16 –k

R ( ( م

R = 2.9 [ Trussed towers (freestanding or guyed) guyed stacks and chimneys] [Table 16 –P]

351.11 KN ≤ 1915.366 KN ≤ 2751.62 KN

O.K


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5- آ :-

م ل )( ACI-02ف آ ب

5 - 1 - ف تWu1= 1.4 DL

Wu2= 1.2 DL

Wu3= 1.2 DL + 1.6 w

Wu4= 1.2 DL + E

Wu5= .9 DL + 1.6W

Wu6= .9 DL + E

5 - 1 - 1 ر أ ر ى آ أ

آ أ ر ىWu = 1.4 DL

Level Wx (KN) Wu ( KN ) cumulate Wu

100 140 140

ء 734.27315 1027.98241 1167.98241 و ر 773.32855 1082.65997 2250.64238

ي س د 3ء 619.00275 866.60385 3117.24623ي س د 2ء 619.00275 866.60385 3983.85008ي س د 1ء 619.00275 866.60385 4850.45393

ء 91.17255 127.64157 4978.0955 ء 272.93138 382.103925 5360.199425

ة 2619.5613 3667.385838 9027.585263 ة 2418.0628 3385.28785 12412.87311

SUM 8866.3379 12412.87311

) )5-1ول


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5 - 1 - 2 ى

ى Vu ى

LevelWt

(KN)hx(m) Wx*hx V-Ft

∑HFx (KN)

100 46 4600 1799.798 48.44419 ء 734.2732 43.9 32234.59 1799.798 339.4737 و ر 773.3286 35.9 27762.49 1799.798 292.3765

ي س د 3ء 619.0028 34.7 21479.4 1799.798 226.207ي س د 2ء 619.0028 28.7 17765.38 1799.798 187.0934ي س د 1ء 619.0028 22.7 14051.36 1799.798 147.9798

ء

91.17255 16.7 1522.582 1799.798 16.03483

ء 272.9314 15.5 4230.436 1799.798 44.55219 ة 2619.561 12.5 32744.52 1799.798 344.8438

ة 2418.063 6 14508.38 1799.798 152.7927SUM 8866.338 170899.1 1799.798

) )5-2ول

Mu)( وم 3 - 1 - 5 ى

ب وم

Levelhx(m) Fx (KN) Fxhx(KN.m)

46 48.444194 2228.43293 ء 43.9 339.47365 14902.8933 و ر 35.9 292.37645 10496.3147

ي س د 3ء 34.7 226.20696 7849.38139ي س د 2ء 28.7 187.09336 5369.57948

ي س د 1ء 22.7 147.97977 3359.14071 ء ي 16.7 16.034834 267.781733 ء 15.5 44.552191 690.558957

ة 12.5 344.84385 4310.54812

ة 6 152.79274 916.756443M.O 50391.3878

) )5-3ول


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أ د د -5-3

q=(P/A)±(MXY/IX)±(MYX/IY)

P= أ .)و 5-1(

A= .MX = ل ) 5-3و(. XمMY= ل ) 5-3و(. YمIX= ل ر .XمIY=

ر

ل

ر

م

Y.

ة و آ أ د ت ي و د ت . ب

5 - 3 - 1 - ة

P = 12412.87311A =15.72 m²Mx= 50391.3878 kn*m

Ix = 32.454 m^4Y = 2.25 mq =(12412.87311/15.72)±( 50391.3878 *3.18/ 32.45)

= 789.623± 4938.201qA=+ 5727.824 kn/m² = + 4.3 MPaqB=- 4148.578 kn/m² = - 2.7 MPa

ي 2 - 3 - 5

P = 4978.0955 KNA = 6.22 m²Mx = 24980.58 kn*mIx = 7.571 m^4Y = 1.85 mq = 800.337 ± 6104.091qA= + 6904.428 kn/m² = +6.904 MPaqB= - 5303.754 kn/m² = - 5.304 MPa

6-1-1 -: أ ل


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د ح ب أ ل د UBC-97 ) (, ول د :-

P=C e C q q s I ( sec1620 -UBC-97) P= . ح

Ce= ر , ع و ت ول table16-Cq= ء و ء أ .table 16-Hتqs= ر ع ح آ ..table 16-F

I= .table 16-K

1 2 3 4 5 6 7 8 9 10 11 12

Qs(psf) Iw Cq Ce P(psf) Qs(kn/m²) P (kn/m²) h ( m ) dis ( m ) F ( kn ) dمذر ع M ( kn*m )

16.4 1 1.4 0.67 15.38 0.79 0.74 6 6.44 28.51 3 85.54

16.4 1 1.4 0.84 19.29 0.79 0.93 6.5 6.44 38.73 9.25 358.23

16.4 1 1.1 0.9 16.24 0.79 0.78 3 3.7 8.65 14 121.1116.4 1 0.8 1 13.12 0.79 0.63 6 3.7 13.98 18.5 258.64

16.4 1 0.8 1.09 14.3 0.79 0.69 6 3.7 15.24 24.5 373.35

16.4 1 0.8 1.17 15.35 0.79 0.74 6 3.7 16.36 30.5 498.9

16.4 1 0.8 1.18 15.48 0.79 0.74 1.2 4.18 3.73 34.1 127.11

16.4 1 0.8 1.19 15.61 0.79 0.75 1.2 5 4.5 35.3 158.73

16.4 1 1.1 1.29 23.27 0.79 1.12 10.1 3.44 38.81 40.95 1589.28

∑h 46 ∑F 168.5 ∑M 3570.89

ول ت ول : )psf ( ل

و ، ر أ ر)80/ (ألد )130 آ / (

أ :د ن ل ن ) )1و أ : ).8-1.4( د

=1.4 =1.1

ي س =0.8ي و د : د ض و ع ر

ض أ )( EXPOSURE Bر ع

) )psfة :د و س د ت: د و إ )KN/m²( ة: د ) )mر ت آ ة: د ) )mي آ ة: د آ إ ة

دي آ ة ب: د ر ع :د ر ع آ ة ة ب وم

) )KN*mة


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و أ ل

W7

W6

W5

W3-4

W2

W1

W8-9

V1=168.5kn

M2=1861.44 kN*m

M1=3570.89 KN*m

V2=117.73kn

و ى

BB

AA

6-2- ت و ر ى ح :-

6 - 2 - 1 - و: -

F.S=∑∑∑∑MV/∑∑∑∑MH ≥≥≥≥2 ∑MV =∑w * b/2 ∑MV =8552.62 *4.5 / 2=19243.395kn*m ∑MH =∑(F*d)

kn*m3570.89=MH∑ F.S =19243.395/ 3570.89= 5.389 ≥2 ok


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6 - 2 - 2 - و : -

F.S=∑V*2/3 tanØ/∑H ≥2

∑V=8552.628 kn

∑H=168.5 kn

ك و ز )°35 = (Ø

F.S = 8552.68 *(2/3)*.7/ 168.5 = 23.68 ≥2 ok

أ د د -6-3

q=(P/A)±(MXY/IX)±(MYX/IY)

P= أ . A= .MX = ل . XمMY= . Yم

IX= ل ر .XمIY=ر ل ر .Yم

آ و د ت أ ي ي و د ت . ب

ة - 1 - 3 - 6 P = 1.4 * 8552.68 = 11973.752A =15.72 m²Mu= Mx* 1 = 3570.68 kn*mIx = [(4.5^4)/12] - [Л*(2.4)^4/ 64] = 32.454 m^4Y = 2.25 mq =(11973.752/15.72)±(3570.6*2.25/ 32.458)

= 761.7 ± 247.5qA= 1009.2 kn/m² =1.01MPa

qB=514.2 kn/m² = 0.514MPa


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Minaret Design Example