Copy of 540385300006-SN-CAL-99001006 - thrust block tee.xls

!&%loc 8V -749 )esign of !hrust %locks © %lack * +eatch -1PLEASE MAKE A COPY OF THIS SHEET TO WORK ON AND KEEP AN UNTOUCHED VERSION ON YOUR SYSYEM INTRODUCTION T)is s,ra"s)t may 5 +s" $or t) "si#n o$ !on!rt t)r+st 5lo!*s in #ran+lar or !o)si6 matrial to mt t) r:+irmnts o$ E+ro!o" 1 ; UK National Ann<7 !o do this, three calculations are necessary and are contained within the spreadsheet 1$ +erification of /trength & 02 limit state )esign 'pproach 1, Combination 1 "02 & )'1C1$ $ +erification of /trength & 02 limit state )esign 'pproach 1, Combination  "02 & )'1C$ 3$ +erification of /ervicability & /4/ limit state Dsi#n A,,roa!)s ( an" - ar not +s" in t) UK 5+t ar +s" ls%)r in E+ro,7 I$ yo+ ar "si#nin# $or ,ro=!ts o+tsi" UK> ns+r yo+ +s t) !orr!t Dsi#n Dsi#n A,,roa!)7 T)is s,ra"s)t may not 5 s+ita5l7 It is normally n!ssary to "si#n $or t%o !ass& ' (

Pipeline subject to test pressure, no backfill t o pipe trench and groundwater maintained below the base of the block. Pipeline subject to working pressure, pipe trench backfilled and groundwater allowed to return to normal worst assumptions "probably ground level$. [For cohesive materials Case 1 almost always controls but for granular materials it is essential to run both cases.

T) mt)o" ma*s $ollo%in# ass+m,tions& '

!hrusts act hori5ontally & T)is s,ra"s)t is not s+ita5l on its o% n $or 5lo!*s %it) a 6rti!al !om,onnt o$ t)r+st> ?lo!*s %it) 6rti!al !om,onnts !om,onnts m+st 5 !al!+lat" !al!+lat" 5y )an"7

Project name

Craigendoran Rising Main

Component

Component

/ection

Section

404046

Pro=!t n+m5r& S)t no7 )rawing nos. Pr,ar" 5y& Checked by :eviewed by

1 Rev. 5035530006-SN-DRA-04001005 Tom Scott

Dat& )ate )ate

11!4!015 1!!013 1!!013

1;1;-1< THIS SPREADSHEET IS OUT OF DATE ; PLEASE RE@UEST A NEW VERSION 66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 INPUTS& !he following data should be input by the designer in units shown "levels to be input as height above datum$ Sym5ol

Val+

Pi, "tails )  )  theta  alpha  >  !P4  P4 

Commnts

Ds!ri,tion

m m deg n;a n;a m m2)

Pipe e#ternal diameter "branch dia for tees, larger dia for tapers$ /maller pipe e#ternal diameter "6 -m e#cept for tapers$ 'ngle of pipe bend "6 - if no bend$ Fitting identifier "6 1 if tee, otherwise 6 -$ Fitting identifier "6 1 if valve, otherwise 6 -$ !est pressure "metres water above pipe centreline$ Pipe centreline level

ro+n" an" Matrial ,ro,rtis phi(  A.---

)eg

Cu gamma

 

@-.---.---

kB;m kB;m3

'ngle of friction of granular soils "of e#isting ground or backfill material$ & use - for cohesive backfill ndrained shear strength of clay "e#isting ground or backfill material$ %ulk density of soil

gamma f



-.---

kB;m3

gamma c  04  9!4 

<.--?.-1<.@1-

kB;m3 m2) m2)

%ulk density of backfill "6gamma e#cept where granular backfill used in cohesive ground$ )ensity of concrete 0round level 9ater table level "use base of block level if below the base of block$

?lo!* "imnsions %4  % 

<.1@1.<--

m2) m

%ase formation level "ie underside of block$ !otal width of block "perpendicular to thrust$

4

1.<--

m

4ength of block parallel to line of t hrust "6 bearing face¢reline dimension on



-.=--.---.--1.---.--3-.--<.?@-

Unit

Project name


Component

Component Section

/ection


404046 ! Rev. 5035530006-SN-DRA-04001005 Tom Scott -


11!4!015 1!!013 1!!013

CALCULATION RESULTS EO ; DA'C' =$ )P %B);! & C28/E+ '!:E'4/ Ho Fw Fa Fp !t !b Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6 6 - 6

=.@ @=.-? -.-3<-. -.-3D.1A-.AA@ 3?D.<@ .-DA 1--.A <@.@-= .<< -.--

"granular backfill$ - )epth of tension crack - 8ydrostatic force on block due to crack "depth Ho$ - 'ctive force on block - Passive force on block - /hear on top of block - /hear on base of block - !otal force causing sliding "thrustIactiveIhydrostatic$ - !otal allowable resisting force "shear;F2/Ipassive;F2/$ - Factor against sliding ":d;d G6 1.-$ - 2verturning moments "assumes triangular block in plan$ - :estoring moments "assumes triangular block in plan$ - Factor against overturning ":d;d G6 1.-$ - -

EO ; DA'C( =$ )P %B);! & C28/E+ '!:E'4/ Ho Fw Fa Fp !t !b Fs Fr

6 6 6 6 6 6 6 6

<.3?<-AAA <1.@3 -.-3<.? [email protected]<.?< 3@D.?1DD

"granular backfill$ - )epth of tension crack - 8ydrostatic force on block due to crack "depth Ho$ - 'ctive force on block - Passive force on block - /hear on top of block - /hear on base of block - !otal force causing sliding "thrustIactiveIhydrostatic$ - !otal allowable resisting force "shear;F2/Ipassive;F2/$

Figure 1 & !ee

Figure & %end

!8E/ /8! )2/ B2! B) !2 % P:EB!)

Project name


Component

Component

/ection

Section

/':J


R"E" 8sli"in#9 R"E" 8o6rt+rnin#9

(7432 (7.-/

404046 Rev. 5035530006-SN-DRA-04001005

Tom Scott

OK OK


11!4!015

!otal all owable resisting force "shear;F2/Ipassive;F2/$ :estoring moments "assumes triangular block in plan$

66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 EBP!/ T) $ollo%in# "ata is !o,i" $rom t) in,+t "ata s)t an" m+st not 5 mo"i$i"7 /ymbol

nit

)escription



A.---

)eg

Cu  gamma  gamma f  gamma c  theta  !P4 

@-.---.---.--<.---.--3-.---

kB;m kB;m3 kB;m3 kB;m3 deg m

'ngle of friction of granular soils "of e#isting ground or backfill material$ & use - for cohesive backfill ndrained shear strength of clay "e#isting ground or backfill material$ %ulk density of soil %ulk density of backfill "6gamma e#cept where granular backfill used in cohesive ground$ )ensity of concrete 'ngle of pipe bend "6 - if no bend$ !est pressure "metres water above pipe centreline$

phi(

+alue

04 9!4 %4 P4

   

?.-1<.@1<.1@<.?@-

m2) m2) m2) m2)

0round level 9ater table level %ase formation level "ie underside of block$ Pipe centreline level

) ) 'b % 4 h

     

-.=--.---.DA1.<-1.<-1.<--

m m m m m m

Pipe e#ternal diameter "branch dia for tees, larger dia for tapers$ /maller pipe e#ternal diameter "6 -m e#cept for tapers$ Plan area of block !otal width of block "perpendicular to thrust$ 4ength of block parallel to line of thrust "6 bearing face¢reline dimension )epth of block "top to bottom$ on bends$

alpha > %f

  

1.---.---.---

n;a n;a n;a

Fitting identifier "6 1 if tee, otherwise 6 -$ Fitting identifier "6 1 if valve, otherwise 6 -$ !rench condition identifier "61 if trench;block backfilled at design condition otherwise 6 -$

Partial Factors 1.3@



'pplicable to 'ctive pressure and 0roundwater pressure

@ 1.@ 'pplicable to thrust on pipe fitting 66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 0B:'4 P':'!:/

!he following parameters are calculated and;or assumed within this sheet7 they may be changed "with cautionK$ if the designer considers it to be appropriate /ymbol gamma w % Lwa Lwp Lb Lt Cw Cb Ct

+alue

nit

)escription

kB;m3 m )eg )eg )eg )eg kB;m kB;m kB;m

)ensity of water !rench width "assumed pipe dia plus 3--mm each side$ 'ngle of wall friction & active "calculated as per design note$ 'ngle of wall friction & passive "calculated as per design note$ 'ngle of base friction cast in&situ & passive "calculated as per design note$ 'ngle of top friction cast in&situ & passive "calculated as per design note$ 9all adhesion "calculated as per design note$ %ase adhesion "calculated as per design note$ !op adhesion "calculated as per design note$

        

D.A11.-1A.==? 1A.==? A.--1A.==? [email protected]<-.--=.==?

R)



1.---

Partial factor on sliding resistance ":v$

Clay

R



1.---

Partial factor on passive resistance ":e$

Clay

R)



1.---


0ranular

R

h3

 

1.---.1@-

m

Cover



1.<=-

m

Partial factor on passive resistance ":e$ 0ranular )epth from pipe invert to bottom of trench "6.1 for dia M =--mm, 6.1@ for dia G =--mm$ )epth from 04 to the top of the block

Project name


Component

Component

/ection

Section

Pr,ar" 5y& Checked by :eviewed by

!he following parameters are calculated by the spreadsheet 8 8w 8gw %( gamma( gamma f( 'p 'p Fh c( Oa Oo Op 9b 9s 8b h +c +e

6 6 6 6 6 6 6 6 6 6

.A=-.3=.@--.-1-.1D1-.1D-.A3 -.--A3.11 1<.1D-.311 -.@31 <.-A@ D.<=? -.--1.<[email protected]? .A-3

Pro=!t n+m5r& S)t no7 )rawing nos.

m m m m kB;m3 kB;m3 m m kB kB;m3

kB kB m m m3 m3

404046 Rev. Dra"ing nos.

Tom Scott 0 0


11!4!015 1!301#$$ 1!301#$$ P'0



)epth ground level to base of block )epth from water table to base of block "6 - if below base$ )epth from ground level to water table ffective width of block /ubmerged density of ground /ubmerged density of backfill Pipe cross sectional area "main pipe, larger pipe or branch on tee$ Pipe cross sectional area "smaller pipe$ !hrust on pipe fitting due to internal pressure /ubmerged density of concrete Coefficient of active pressure "assuming angle active wall friction Lwa$ Coefficient of at rest pressure Coefficient of passive pressure "assuming angle of passive wall friction Lwp$ ffective weight of block ffective weight of soil over block )epth ground level to top of block )epth from trench invert to bottom of block +olume of concrete +olume of e#cavation for block

66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 :/4!/ =$ )P %B);! & C28/E+ '!:E'4/ "granular backfill$ Ho 6 =.@1D N )epth of tension crack Fw 6 @=.-? N 8ydrostatic force on block due to crack "depth Ho$ Fa 6 -.-N 'ctive force on block Fp 6 3<-. N Passive force on block !t 6 -.-N /hear on top of block !b 6 3D.N /hear on base of block Fs 6 1A-.AA N !otal force causing sliding "thrustIactiveIhydrostatic$ Fr 6 3?D.<@ N !otal allowable resisting force "shear;F2/Ipassive;F2/$ Cs 6 .-DA N Factor against sliding ":d;d G6 1.-$ 2t 6 1--.A N 2verturning moments "assumes triangular block in plan$ :m 6 <@.@-= N :estoring moments "assumes triangular block in plan$ Fot 6 .<3@ N Factor against overturning ":d;d G6 1.-$ -.-N 66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

66666666 66666666 66666666 66666666 666666666666666 6 66666666666666666 666666 66666666 66666666 66666666 666666666 66666666666666

0:'B4': '!:E'4/ 66666666666666666 1$ /8'4429 %42CO 2B %B);! & 0:'B4': '!:E'4/ Fa Fp !b !s !t Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6

OB OB OB

!otal active ground force on block "Egnores effect of trench width$ !otal passive ground force on block "Egnores effect of trench width$ !otal shear resistance on base !otal shear resistance on sides !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes triangular block in plan$ :estoring moments "assumes triangular block in plan$ Factor against overturning ":d;d >= 1.-$

OB OB OBm OBm

$ )P %42CO 2B %B);! & 0:'B4': '!:E'4/ Fa Fp !b !s !t Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6

[email protected]< 3<. 1@.==A [email protected]= 3@?.AD .3? ==.3 D.= 3.<@?

OB OB OB OB OB OB OB & OBm OBm &


3$ /8'4429 %42CO 2B +'4+;!'P: & 0:'B4': '!:E'4/ Fa Fp !b !s !t Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6

=.A? ==.A= 1@.==A =<.1-< -.--131.=A 1<=.=< 1.11< @<.?? A<.? 1.@3D


!otal active ground force on block "Encludes effect of trench width$ !otal passive ground force on block "Encludes effect of trench width$ !otal shear resistance on base !otal shear resistance on sides "ends$ !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes rectangular block in plan$ :estoring moments "assumes rectangular block in plan$ Factor against overturning ":d;d >= 1.-$

<$ )P %42CO 2B +'4+;!'P: & 0:'B4': '!:E'4/ Fa Fp !b !s !t Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6

@.-A

!otal active ground force on block "Encludes effect of trench width$ !otal passive ground force on block "ignores effect of trench width under pipe$ !otal shear resistance on base !otal shear resistance on sides "ends$ !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes rectangular block in plan$ :estoring moments "assumes rectangular block in plan$ Factor against overturning ":d;d >= 1.-$

gr

6666666 C4'J 6666666 C'4C4'!) @$ /8'4429 %B);! & C28/E+ '!:E'4/ Ho Fw Fa Fp !b Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6

=.@1D [email protected]D -.-=3=.@? @<.A=A --.=@ =D1.<< 3.<<= 1A.3 <@=.3.@@3

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on base N !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes triangular block in plan$ :estoring moments "assumes triangular block in plan$ Factor against overturning ":d;d >= 1.-$

=$ )P %B);! & C28/E+ '!:E'4/ Ho Fw Fa Fp !t !b Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6 6

=.@1D @=.-=A -.-3<-. -.--3D.-1A-.AA 3?D.< .-DA 1--.A <@.@1 .<3@

-

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on top of block /hear on base of block !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes triangular block in plan$ :estoring moments "assumes triangular block in plan$ Factor against overturning ":d;d >= 1.-$

?$ /8'4429 +'4+;!'P: & C28/E+ '!:E'4/

Ho Fw Fa Fp !b !s Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6 6

=.@1D 11.-?< -.-11<.=A @<.A=A 13?.[email protected] 3-=.?@ .@? A@.<@ 1<.A? 1.?

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on base /hear on sides !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes rectangular block in plan$ :estoring moments "assumes rectangular block in plan$ Factor against overturning ":d;d >= 1.-$

A$ )P +'4+;!'P: & C28/E+ '!:E'4/ Ho Fw Fa Fp !t !b !s Fs Fr Cs 2t :m Fot

6 6 6 6 6 6 6 6 6 6 6 6 6

=.@1D A.1AA -.-?.3< -.--3D.-13?.-133.-1 
)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on top of block /hear on base of block /hear on sides !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes rectangular block in plan$ :estoring moments "assumes rectangular block in plan$ Factor against overturning ":d;d >= 1.-$

!8E/ /8! )2/ B2! B) !2 % P:EB!)

Project name



Component

Component

/ection

Section

/':J

R"E" 8sli"in#9 R"E" 8o6rt+rnin#9


(722. -743-

404046 Rev. 5035530006-SN-DRA-04001005

Tom Scott


11!4!015

OK OK

66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 EBP!/ T) $ollo%in# "ata is !o,i" $rom t) in,+t "ata s)t an" m+st not 5 mo"i$i"7 /ymbol phi(

+alue 

A.---

Cu  gamma  gamma f  gamma c  theta  !P4 

@-.---.---.--<.---.--3-.---

Factored nit +alues 3.-<333 )eg 3@.?1<D kB;m kB;m3 kB;m3 kB;m3 deg m

)escription 'ngle of fri cti on of granular soi ls "of e#i sti ng ground or backfil l material$ & use - for cohesive backfill ndrai ned shear strength of cl ay "e#i sti ng ground or backfi ll materi al $ %ulk density of soil %ulk density of backfill "6gamma e#cept where granular backfill used in cohesive ground$ )ensity of concrete 'ngle of pipe bend "6 - if no bend$ !est pressure "metres water above pipe centreline$

04 9!4 %4 P4

   

?.-1<.@1<.1@<.?@-

m2) m2) m2) m2)


) ) 'b % 4 h

     

-.=--.---.DA1.<-1.<-1.<--

m m m m m m


alpha > %f

  

1.---.---.---

n;a n;a n;a


Partial Factors 1.@

'pplicable to effective stress parameters

1.<

!+

'pplicable to total stress parameters

66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 0B:'4 P':'!:/ !he following parameters are calculated and;or assumed within this sheet7 they may be changed "with cautionK$ if the designer considers it to be appropriate /ymbol gamma w % Lwa Lwp Lb Lt Cw Cb Ct

+alue

nit

)escription



        

D.A11.[email protected]= [email protected]= 3.-<3 [email protected]= @.--3@.?1< 3.A1-

R)



1.---


Clay

R



1.---

Partial factor on passive resistance ":e$

Clay

R)



1.---


0ranular

R

h3

 

1.---.1@-

m

Cover



1.<=-

m

Partial factor on passive resistance ":e$ 0ranular )epth from pipe invert to bottom of trench "6.1 for dia M =--mm, 6.1@ for dia G =--mm$ )epth from 04 to the top of the block

Project name


Component

Component

/ection

Section



6 6 6 6 6 6 6 6 6 6

.A=-.3=.@--.-1-.1D1-.1D-.A3 -.--A3.11 1<.1D-.31? -.@31 3.ADA D.<=? -.--1.<[email protected]? .A-3



kB kB m m m3 m3


Tom Scott


11!4!015

P'0




66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 :/4!/ =$ )P %B);! & C28/E+ '!:E'4/ "granular backfill$ Ho 6 <.3?< N )epth of tension crack Fw 6 <1.@3 N 8ydrostatic force on block due to crack "depth Ho$ Fa 6 -.-N 'ctive force on block Fp 6 3<.? N Passive force on block !t 6 -.-N /hear on top of block !b 6 [email protected] /hear on base of block Fs 6 1<.?< N !otal force causing sliding "thrustIactiveIhydrostatic$ Fr 6 3@D.? N !otal allowable resisting force "shear;F2/Ipassive;F2/$ Cs 6 .AA< N Factor against sliding ":d;d G6 1.-$ 2t 6 [email protected]@A N 2verturning moments :m 6 3<.=@< N :estoring moments "assumes triangular block in plan$ Fot 6 3.-D3 N Factor against overturning ":d;d G6 1.-$ -.-N 66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

66666666 66666666 66666666 66666666 666666666666666 6 66666666666666666 666666 66666666 66666666 66666666 666666666 66666666666666


6 6 6 6 6 6 6 6 6 6 6

3=.-@ <<.A@ 1.@3< -.---.--11D.= <@@.3D 3.A1A A<.@3 <3A.A3 @.1D1

OB OB OB


OB OB OBm OBm


6 6 6 6 6 6 6 6 6 6 6

=.@A 3=.@< 1.@3< -.---.--1-D.?D 33D.-A 3.-AA ==.=? 1D.3D 3.D1




6 6 6 6 6 6 6 6 6 6 6

@.1D =3.A1.@3< =<.1-< -.--AA.<1<-.<< 1.@AD @<.A? A1.3@ 1.

!otal active ground force on block "Encludes effect of trench width$ !otal passive ground force on block "Encludes effect of trench width$ !otal shear resistance on base !otal shear resistance on sides "ends$ !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes rectangular block in plan$ :estoring moments "assumes rectangular block in plan$ Factor against overturning ":d;d >= 1.-$


6 6 6 6 6 6 6 6 6 6 6

3.A<

!otal active ground force on block "Encludes effect of trench width$ !otal passive ground force on block "ignores effect of trench width under pipe$ !otal shear resistance on base !otal shear resistance on sides "ends$ !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments "assumes recatngular block in plan$ :estoring moments "assumes rectangular block in plan$ Factor against overturning ":d;d >= 1.-$

gr


6 6 6 6 6 6 6 6 6 6 6

<.3?< @=.1=D -.-=-<[email protected] =3D.D<.@D1 AD.@ <33.A <.A<=

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on base N !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments :estoring moments "assumes triangular block in plan$ Factor against overturning ":d;d >= 1.-$


6 6 6 6 6 6 6 6 6 6 6 6

<.3?< <1.@3 -.-3<.? [email protected]<.?< 3@D.? .AA< [email protected]= 3<.=@ 3.-D3

-

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on top of block /hear on base of block !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments :estoring moments "assumes triangular block in plan$ Factor against overturning ":d;d >= 1.-$

?$ /8'4429 +'4+;!'P: & C28/E+ '!:E'4/


6 6 6 6 6 6 6 6 6 6 6 6

<.3?< A.1@? -.-1-A.?3
)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on base /hear on sides !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments :estoring moments Factor against overturning ":d;d >= 1.-$


6 6 6 6 6 6 6 6 6 6 6 6 6

<.3?< =.-== [email protected].A -1.?.@D @3.=3 @.1A -.D?3

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on top of block /hear on base of block /hear on sides !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ Factor against sliding ":d;d >= 1.-$ 2verturning moments :estoring moments "assumes rectangular block in plan$ Factor against overturning ":d;d >= 1.-$

!8E/ /8! )2/ B2! B) !2 % P:EB!)

Project name


Component

Component

/ection

Section

/':J

Cs B Fot B

'7400 -7(-0


404046 Rev. 5035530006-SN-DRA-04001005


Tom Scott

OK OK

!otal all owable resisting force "shear;F2/Ipassive;F2/$ :estoring moments "assumes triangular block in plan$

0 0


11!4!015

66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 EBP!/ T) $ollo%in# "ata is !o,i" $rom t) in,+t "ata s)t an" m+st not 5 mo"i$i"7 /ymbol

nit

)escription

phi(



+alue A.---

)eg

Cu gamma gamma f gamma c theta !P4

     

@-.---.---.--<.---.--3-.---

kB;m kB;m3 kB;m3 kB;m3 deg m

'ngle of friction of granular soils "of e#isting ground or backfill material$ & use - for cohesive backfill ndrained shear strength of clay "e#isting ground or backfill material$ %ulk density of soil %ulk density of backfill "6gamma e#cept where granular backfill used in cohesive ground$ )ensity of concrete 'ngle of pipe bend "6 - if no bend$ !est pressure "metres water above pipe centreline$

04 9!4 %4 P4

   

?.-1<.@1<.1@<.?@-

m2) m2) m2) m2)


) ) 'b % 4 h

     

-.=--.---.DA1.<-1.<-1.<--

m m m m m m


alpha > %f

  

1.---.---.---

n;a n;a n;a


66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 0B:'4 P':'!:/ !he following parameters are calculated and;or assumed within this sheet7 they may be changed "with cautionK$ if the designer considers i t to be appropriate /ymbol gamma w % Lwa Lwp Lb Lt Cw Cb Ct

+alue

nit

)escription



        

D.A11.-1A.==? 1A.==? A.--1A.==? [email protected]<-.--=.==?

R)



.---

Factor of safety against shear & clay

R



3.---

Factor of safety against passive resistance & clay

R)



.---

R

h3

 

[email protected]@-

m

Cover



1.<=-

m

Factor of safety against shear & granular materials Factor of safety agai nst passi ve resi stance & granul ar materi al s )epth from pipe invert to bottom of trench "6.1 for dia M =--mm, 6.1@ for dia G =--mm$ )epth from 04 to the top of the block

Project name


Component

Component

/ection

Section



6 6 6 6 6 6 6 6 6 6

.A=-.3=.@--.-1-.1D1-.1D-.A3 -.--A3.11 1<.1D-.311 -.@31 <.-A@ D.<=? -.--1.<[email protected]? .A-3



kB kB m m m3 m3


Tom Scott


11!4!015

P'0




66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 :/4!/ =$ )P %B);! & C28/E+ '!:E'4/ "granular backfill$ Ho 6 =.@1D N )epth of tension crack Fw 6 <1.@3 N 8ydrostatic force on block due to crack "depth Ho$ Fa 6 -.-N 'ctive force on block Fp 6 3<-. N Passive force on block !t 6 -.-N /hear on top of block !b 6 3D.N /hear on base of block Fs 6 1<.?< N !otal force causing sliding "thrustIactiveIhydrostatic$ Fr 6 133.--A N !otal allowable resisting force "shear;F2/Ipassive;F2/$ Cs 6 1.-== N /liding stability factor "block safe if factor G61.-$ 2t 6 N 2verturning moments [email protected]@A :m 6 <@.@-= N :estoring moments "assumes triangular block in plan$ Fot 6 3.3= N Factor of safety overturning "block safe if G6.-$ -.-N 66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

66666666 66666666 66666666 66666666 666666666666666 6 66666666666666666 666666 66666666 66666666 66666666 666666666 66666666666666


6 6 6 6 6 6 6 6 6 6 6

[email protected] <=<.1 1@.==A -.---.--11A.@ 1D3.
OB OB OB

!otal active ground force on block "Egnores effect of trench width$ !otal passive ground force on block "Egnores effect of trench width$ !otal shear resistance on base !otal shear resistance on sides !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ /liding stability factor "block safe if factor G61.-$ 2verturning moments "assumes triangular block in plan$ :estoring moments "assumes triangular block in plan$ Factor of safety overturning "block safe if G6.-$

OB OB OBm OBm


6 6 6 6 6 6 6 6 6 6 6

=.-3 3<. 1@.==A -.---.--1-D.< 1<<.? 1.3@ ==.3 D.= 3.<@?


!otal active ground force on block "Egnores effect of trench width$ !otal passive ground force on block "Egnores effect of trench width$ !otal shear resistance on base !otal shear resistance on sides !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ /liding stability factor "block safe if factor G61.-$ 2verturning moments "assumes triangular block in plan$ :estoring moments "assumes triangular block in plan$ Factor of safety overturning "block safe if G6.-$


6 6 6 6 6 6 6 6 6 6 6

@.-D ==.A= 1@.==A =<.1-< -.--AA.3==.=3 -.?@@ @<.?? A<.? 1.@3D


!otal active ground force on block "Encludes effect of trench width$ !otal passive ground force on block "Encludes effect of trench width$ !otal shear resistance on base !otal shear resistance on sides "ends$ !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ /liding stability factor "block safe if factor G61.-$ 2verturning moments "assumes rectangular block in plan$ :estoring moments "assumes rectangular block in plan$ Factor of safety overturning "block safe if G6.-$


6 6 6 6 6 6 6 6 6 6 6

3.?=

!otal active ground force on block "Encludes effect of trench width$ !otal passive ground force on block "ignores effect of trench width under pipe$ !otal shear resistance on base !otal shear resistance on sides "ends$ !otal shear resistance on top !otal force causing sliding "thrustIactive$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ /liding stability factor "block safe if factor G61.-$ 2verturning moments "assumes recatngular block in plan$ :estoring moments "assumes rectangular block in plan$ Factor of safety overturning "block safe if G6.-$

gr


6 6 6 6 6 6 6 6 6 6 6

=.@1D @=.1=D -.-=3=.@? 3D.-13D.3A 31.?D 1.==3 AD.@ <@[email protected]<

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on base N !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ /liding stability factor "block safe if factor G61.-$ 2verturning moments :estoring moments "assumes triangular block in plan$ Factor of safety overturning "block safe if G6.-$


6 6 6 6 6 6 6 6 6 6 6 6

=.@1D <1.@3 -.-3<-. -.--3D.-1<.?< 133.-1 1.-== [email protected]= <@.@1 3.3=

-

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on top of block /hear on base of block !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ /liding stability factor "block safe if factor G61.-$ 2verturning moments :estoring moments "assumes triangular block in plan$ Factor of safety overturning "block safe if G6.-$

?$ /8'4429 +'4+;!'P: & C28/E+ '!:E'4/


6 6 6 6 6 6 6 6 6 6 6 6

=.@1D A.1@? -.-11<.=A 3D.-13?.-D1.3? 1=.<3 1.3A< @?.?1<.A? .@

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on base /hear on sides !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ /liding stability factor "block safe if factor G61.-$ 2verturning moments :estoring moments Factor of safety overturning "block safe if G6.-$


6 6 6 6 6 6 6 6 6 6 6 6 6

=.@1D =.-== -.-?.3< -.--3D.-13?.-AD.A 11.31 1.@A @3.=3 @3.?3 1.--

)epth of tension crack 8ydrostatic force on block due to crack "depth Ho$ 'ctive force on block Passive force on block /hear on top of block /hear on base of block /hear on sides !otal force causing sliding "thrustIactiveIhydrostatic$ !otal allowable resisting force "shear;F2/Ipassive;F2/$ /liding stability factor "block safe if factor G61.-$ 2verturning moments :estoring moments "assumes rectangular block in plan$ Factor of safety overturning "block safe if G6.-$

Copy of 540385300006-SN-CAL-99001006 - thrust block tee.xls

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