De Densit* of concrete #i #ipe material !-rade% /p /pecified minimm *ield strenth ons modls #oissons ratio
ρc
= = = = =
k+m,
hermal epansion co7efficient "e "enth of pipe Allo(a:le lonitdinal stress
// $ v
α " σL allo(a:le
2400.00 &0 485.00 206000.00 0.30
= 0.000011&0 = 162000.00 = 436.50
+mm +mm 7 + 0) mm +mm
C
= 22.00
0
Area of pipe !/teel%
i Asteel
= 0.040
m²
Area of coatin !3"#
%$A3"#$
= 0.011
m²
Area of coatin !concrete%
Aconcrete
= 0.000
m²
Weiht of steel
Wsteel
= 315.90
;+m
Weiht of 3"#$ coatin
W3"#$
= 10.&1
;+m
Weiht of concrete coatin
Wconcrete
= 0.00
;+m
otal (eiht of pipe
Wtotal
= 326.61
;+m
#i # ipeline installation temperatre
Trench Trench details:
1
= 1000.00
mm
2
= 1000.00
mm
4
= 1921.90
mm
Certicle distance :et(een pipe on skid and pipe on trench :ottom
5
= 2921.90
rench ap on left side of pipe
1
= 150.00
mm
rench ap on riht side of pipe rench side anle
2
Ø
= 150.00 = 16.00
mm Deree
3
= 551.10
mm
Depth of coBer
=
!4= 2 G D%
Depth of trench
X 3 =
(
Y 4 tan
( 90− φ
)
Width of trench at top
W top= D + X 1 + X 2 + 2× X 3
Wtop
= 2324.09
mm
Width of trench at :ottom
W bottom= D + X 1 + X 2
W :ottom
= 1221.90
mm
4
= 500.00
mm
D pipe
= 921.90
mm
6
= 2123.00
mm
#osition of pipe restin on skid from ede of trench
Width of pipe skid ! assmed as eal to pipe 'D % Desin :oom oBerhan to :e considered for side :oom load capacit* estimation
X 6 =
W top 2
+ X 4 +
D 2
Side boo details:
@ased on the information collected from site and it is sested that oBerhanin to :e considered is as iBen :ello(E7 1. ?irst side :oom moBin in for(ard direction % 7 8 = 4500 mm from trench centre 2. /econd side :oom ! :ehind side :oom (hich (ill place the pipe section in the trench % 7 8 = 3500 mm from trench centre 3. hird side :oom ! :ehind second side :oom (hich (ill place the pipe section in the trenc h % 7 8 = 2500 mm from trench centre 4. he side :oom (ill :e placed in staered position (ith respect to trench centre line. It (ill reslt in nearl* same :oom oBerhan ! & % (hich ma* Bar* from 2500 mm to 3500 mm (hich (ill iBe the more conserBatiBe reslts. 5. m:er of side :ooms placed
= 3.00
nos.
6. /afe lift capacit* at :oom oBerhan at distance &
). inimm radis of crBatre for elastic :endin drin installation
Rc =
0 .5 E ×OD steel 0 . 6 5 ×SMYS
CALCULATION !OR SA!E LI!T POINT SPACING:
A. inimm spacin :et(een t(o side :ooms (ith considerin total (eiht of pipe
S sideboom =
Capacity sideboom
= 46.54
m
/side:oom
= 24.00 SPACING IS SA!E
m
δactual
= 15.94
mm
A)
= 12.00
m
= 298.52
m
Hallo(a:le
= 241.10
mm
SF capacity ×W total
@. /elected side:oom spacin
CHEC" !OR DE!LECTION:
A. aimm deflection (ith considerin steel (eiht onl* 4
δ actal =
5× W steel × S
sideboom
384 × E × I
@. aimm allo(a:le sa as per elastic :end radis )hord lenth A)
[√
X = R Allo(a:le sa
S sideboom
!C =
δ allo"able
2
c
sa#
(
2
)2
− !C
]
= R c − X
De%lection chec& : ' act(al sho(ld be less than ' allo)able
DE!LECTION IS SA!E
CHEC" !OR #ENDING $O$ENT:
A. aimm :endin moment 2
M b =
" pipe × S
sideboom
:
= 2.30&$G05
s allo(a:le
= 315.25
: allo(a:le
= 2.141$G06
7m
8
@. aimm allo(a:le :endin stress = 0.65 //
+mm
). aimm allo(a:le :endin moment
M b
$ = M s allo"able × allo"able
Chec& %or bendin* oent : $ b a+ sho(ld be less than $ b allo)able
7m
#ENDING $O$ENT IS SA!E
CALCUATIONS !OR POSITIONNING AND LA,ING O! PIPELINE:
A. aimm horiantal distance :et(een cetere of trench and oriinal position of pipe
@. otal Berticle distance to :e coBered
6
= 2.12
m
5
= 2.92
m
Drin the process of positionnin and la*in of pipe it (ill :end in do:le crBatre in horiantal as (ell as inBerticle plane. ). aimm distance to :e coBered
Dis tan ce ma% =
√ ( X Y ) 2 + 6
2 5
Distance ma
= 3.61
m
D. "enth of pipe strin :et(een tochdo(n point at roller on rond and toch do(n point at the trench :ottom = ! = /side:oom nm:er of side :ooms % Ds: = &2.00
$. otal arc lenth
"total arc = Ds:
m
"total arc
= &2.00
m
"half arc
= 36.00
m
Ф
= 6.92
= 296.58
m
S = R c − X
/
= 2.18
m
S allo"able= 2× S
/allo(a:le
= 4.35
m
?.
&half arc =
-. Anle
sin ϕ =
herefore
X = <. aimm deflection
&total arc
2
& 'al(a)c R c
&'al(a)c tan
(φ )
Deree
I. aimm allo(a:le deflection
Chec& %or a+ de%lection - a+i( allo)able de%lection sho(ld be ore than the a+i( distance to be co.ered