Table Of Contentइंटरनेट मानक
Disclosure to Promote the Right To Information
Whereas the Parliament of India has set out to provide a practical regime of right to
information for citizens to secure access to information under the control of public authorities,
in order to promote transparency and accountability in the working of every public authority,
and whereas the attached publication of the Bureau of Indian Standards is of particular interest
to the public, particularly disadvantaged communities and those engaged in the pursuit of
education and knowledge, the attached public safety standard is made available to promote the
timely dissemination of this information in an accurate manner to the public.
“जान1 का अ+धकार, जी1 का अ+धकार” “प0रा1 को छोड न’ 5 तरफ”
Mazdoor Kisan Shakti Sangathan Jawaharlal Nehru
“The Right to Information, The Right to Live” “Step Out From the Old to the New”
SP 55 (1993): Design Aid for Anchorages for Spillway Piers,
Training Walls and Divide Walls [WRD 9: Dams and Spillways]
“!ान $ एक न’ भारत का +नम-ण”
Satyanarayan Gangaram Pitroda
““IInnvveenntt aa NNeeww IInnddiiaa UUssiinngg KKnnoowwlleeddggee””
“!ान एक ऐसा खजाना > जो कभी च0राया नहB जा सकता हहहहै””ै”
Bhartṛhari—Nītiśatakam
“Knowledge is such a treasure which cannot be stolen”
DESIGN AID FOR ANCHORAGES FOR
SPILLWAY PIERS, TRAINING WALLS AND
DIVIDE WALLS
UDC 627’231’8 : 72’011
0 BIS 1993
BUREAU OF INDIAN STANDARDS
MANAK BHAVAN, 9 BAHADUR SHAH ZAFAR MARG
NEW DELHI 110002
June 1993 Price Group 6
spawllipS gnidulcnI ygrenE srotapissiD lanoitceS ,eettimmoC RVD 10
DROWEROF
sihT laiceps noitacilbup sevig a dohtem for ngised of segarohcna for yawllips ,sreip gniniart sllaw
dna edived sllaw yb gnitupmoc stresses derrefsnart ot the esab kcolb morf the sllaw/sreip ( see
SI 12720 : 1993 larutcurtS‘ ngised of yawllips gniniart sllaw dna edivid sllaw - ’airetirC dna
SI 13551 : 1992 larutcurtS‘ ngised of yawllips crest dna reip - ’airetirC ) htiw the pleh of elbatius
.selbat
roF the esoprup of gnidiced whether a ralucitrap tnemeriuqer of siht laiceps ,noitacilbup si
deilpmoc ,htiw the lanif ,eulav devresbo or detaluclac gnisserpxe the tluser of a test ,sisylana L
dluohs eb dednuor off ni ecnadrocca htiw SI 2 : 1960 seluR‘~ for gnidnuor of laciremun seulav
(~ revised )‘. ehT rebmun of tnacifingis secalp deniater ni the dednuor of eulav dluohs eb the
emas as that of the deificeps eulav ni siht laiceps .noitacilbup b
NBSI O-040-1607-18
SP 55 : 1993
DESIGNAIDFORANCHORAGESFOR
SPILLWAYPIERS,TRAININGWALLSAND
DIVIDEWALLS
1 SCOPE X Y
iF dna b where x dna y are the secnatsid gnola
sihT laicepS noitacilbuP sevig a dohtem for the ngised latnoziroh dna lacitrev sixa morf the nigiro as nwohs
of segarohcna for yawllips ,sreip gniniart sllaw dna ni .giF 1.
edivid sllaw htiw the pleh of .selbat
2.3 oT niatbo the stresses ni the esab kcolb eud ot
2 METHOD ADOPTED FOR CALCULATION lartnec ,llaw the gniwollof noitacilpitlum factors dluohs
OF STRESSES eb worked :tuo
2.1 euD ot gnidaol no the llaw the stresses depoleved ~ F -P 6M
dluow eb derrefsnart ot the esab kcolb dna noisuffid dna -
of stresses otni the esab kcolb si of elbaredisnoc b ’ b b2
ecnatropmi for noitanimreted of depth of egarohcna ehT stresses eud ot tinu eulav of shear force F,
of gnicrofnier .srab ehT llaw yam eb na dne llaw tnemom M dna lamron force. P are nevig ni the
(see .giF 1) or lartnec llaw (see .giF 2). ehT noisuffid selbaT 4, 5 dna 6 ylevitcepser for tnereffid seulav of
of stresses dluow eb ni the retrauq etinifni kcolb or
dne ,llaw whereas ti dluow eb ni the etinifni-imes X dna $ where x dna y are the secnatsid gnola
-
kcolb for the lartnec .llaw b
latnoziroh dna lacitrev sixa morf the nigiro as nwohs
2.2 oT niatabo the stresses ni the esab kcolb eud ni .giF 2.
ot dne ,llaw the gniwollof noitacilpitlum factors dluohs
eb worked :tuo 2.4 ehT lautca latnoziroh dna lacitrev stress dluohs
eb deniatbo yb gniylpitlum the tinu seulav nevig ni
the selbat htiw gnidnopserroc noitacilpitlum factor.
F P M
dna -
- , T-
b b2 2.5 roF latnoziroh ,egarohcna OX noitubirtsid si dettolp
at tnereffid lacitrev snoitces dna the latot elisnet force
where
si detaluclac at each of these .snoitces ehT latnoziroh
egarohcna leets si dedivorp for the mumixam elisnet
F = shear force at the esab of the ,llaw force deniatbo at these lacitrev .snoitces
P = lamron force,
2.6 ehT lacitrev stresses ni the esab kcolb dluow
M = tnemom at the esab of the ,llaw dna hsinimid as the depth .sesaercni ,ecneH the lacitrev
tnemecrofnier ni the llaw yam eb deunitnoc pu ot
b = esab htdiw of the .llaw
the depth where the elisnet stresses depoleved are
nihtiw elbissimrep .stimil
ehT iatnoziroh stress OX, the lacitrev stress yrc dna
shear stress yxt eud ot eulavtinu of shear force F, 2.7 snoitatupmoC desab no these selbat for ngised
tnemom M, dna lamron force ,P are nevig ni the of segarohcna for a edivid llaw gnitser yltcerid revo
selbaT 1, 2 dna 3 ylevitcepser for tnereffid seulav of the noitadnuof rock are nevig ni xetmA .A
b
I--!
4-l
I
P
F
M
3 -
I G
GIRO
kI
F
X
Y
.GIF 2
FIG. 1 END WALL CI’NTRAL. WALL
SY 55 : 1993
Table 1 Stresses in End Wall Due to Unit Shear Force
( Clause 2.2 )
0.00 0.19 1.50 2.80 2.87 1.97 1.53 1.26 1.07
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 1.13 1.50 1.13 0.00 0.00 0.00 0.00 0.00
0.00 0.32 0.96 1.35 1.47 1.37 1.20 1.07 0.96
0.25 -1.12 -0.51 0.00 0.27 0.28 0.12 0.06 0.03 0.03
0.00 0.46 0.71 0.58 0.46 0.35 0.25 0.18 0.13
00.0 0.13 0.45 0.64 0.80 0.87 0.88 0.84 0.80
0.50 -1.28 -0.64 0.00 0.92 0.32 0.22 0.15 0.09 0.07
0.00 0.06 0.23 0.34 0.42 0.39 0.32 0.26 0.21
00.0 20.0 0.10 0.25 0.40 0.52 0.59 0.62 0.62
0.75 -1.25 -0.77 -0.20 0.13 0.26 0.24 0.19 0.14 0.11
0.00 -0.06 0.02 0.16 0.27 0.31 0.31 0.27 0.24
0.00 -0.01 0.02 0.08 0.18 0.29 0.38 0.44 0.46
1.00 -1.08 -0.71 -0.31 0.02 0.17 0.21 0.19 0.16 0.13
0.00 -0.09 -0.06 0.04 0.15 0.22 0.24 0.25 0.23
0.00 0.00 0.00 0.03 0.09 0.16 0.23 0.29 0.32
1.25 -0.96 -0.67 -0.35 -0.08 0.08 0.15 0.18 0.16 0.14
0.00 -0.08 -0.09 -0.03 0.06 0.13 0.18 0.20 0.20
0.00 0.00 -0.01 0.00 0.04 0.09 0.14 0.19 0.23
1.50 -0.87 -0.61 -0.37 -0.15 0.00 0.09 0.14 0.14 0.14
0.00 -0.08 -0.10 -0.06 0.00 0.07 0.12 0.15 0.16
0.00 -0.01 -0.02 -0.01 0.01 0.03 0.08 0.12 0.15
1.75 -0.77 -0.57 -0.37 -0.19 0.05 0.04 0.10 0.11 0.12
0.00 -0.07 -0.09 -0.08 -0.03 0.02 0.07 0.11 0.13
00.0 -0.01 -0.02 -0.02 -0.01 0.01 0.03 0.07 0.10
2.00 -0.67 -0.53 -0.37 -0.22 -0.09 -0.01 0.06 0.08 0.09
0.00 -0.07 -0.08 -0.08 -0.05 0.00 0.03 0.08 0.10
NOTES
0.x
1 The order of listing of the stresses ux, uy, wy is (
\z,
2 The negative sign indicates tension and positive sign indicates compression.
SP 55 : 1993
Table 2 Stresses in End Wall Due to Unit Moment
( CZause 2.2 )
00.0 0.38 1.79 3.84 3.33 1.00 0.60 0.50 0.50
0.00 -0.60 -3.00 0.00 3.00 6.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.38 0.83 0.90 0.91 1.00 0.94 0.64 0.45
0.25 -5.10 -2.69 0.13 2.37 1.50 0.38 0.13 0.09 0.04
0.00 -0.73 -0.91 -0.43 0.50 0.28 0.27 0.22 0.13
00.0 -0.10 -0.19 -0.20 0.07 0.37 0.43 0.39 0.40
0.50 -3.71 -2.24 -0.19 0.14 1.34 0.69 0.27 0.12 0.08
0.00 -0.94 -0.97 -0.42 0.37 0.60 0.38 0.26 0.21
00.0 -0.26 -0.45 -0.51 -0.30 0.02 0.17 0.24 0.19
0.75 -2.43 -1.86 -0.38 0.77 0.97 0.73 0.37 0.20 0.14
0.00 -0.72 -0.90 -0.45 0.03 0.48 0.34 0.27 0.22
00.0 -0.12 -0.32 -0.47 -0.37 -0.27 -0.04 0.01 0.06
1.00 -1.66 -1.34 -0.51 0.32 0.53 0.50 0.40 0.18 0.18
0.00 -0.50 -0.70 -0.53 -0.13 0.22 0.24 0.20 0.19
00.0 -0.01 -0.18 -0.35 -0.38 -0.28 -0.20 -0.10 -0.09
1.25 -1.28 -0.94 -0.49 0.10 0.33 0.38 0.29 0.24 0.13
0.00 -0.35 -0.55 -0.34 -0.12 0.03 0.09 0.13 0.11
00.0 -0.07 -0.15 -0.31 -0.20 -0.29 -0.20 -0.10 -0.09
1.50 -0.89 -0.69 -0.37 -0.11 0.16 0.20 0.22 0.15 0.18
0.00 -0.27 -0.38 -0.33 -0.19 -0.10 0.00 0.03 0.09
00.0 0.02 0.01 -0.14 -0.30 -0.30 -0.27 -0.16 -0.12
1.75 -0.65 -0.52 -0.33 -0.18 -0.07 0.10 0.21 0.16 0.15
0.00 -0.16 -0.26 -0.27 -0.21 -0.14 -0.09 0.00 0.04
00.0 -0.02 -0.08 -0.14 -0.18 -0.19 -0.18 -0.16 -0.12
2.00 -0.50 -0.46 -0.34 -0.20 -0.06 -0.01 0.09 0.12 0.12
0.00 -0.12 -0.20 -0.22 -0.19 -0.17 -0.09 -0.04 0.00
NOTES
an
1 The order of listing of the stresses cm, cy, vcy is cry
\ TXY
2 The negative sign indicates tension and positive sign indicates compression.
3
SP 55 .: 1993
Table 3 Stresses in End Wall Due to Unit Normal Force
( Clause 2.2 )
--
r----II
_..LQ I 6
00.0 0.03 0.07 0.13 -0.25 -0.57 -0.46 -0.45 -0.43
0.00 1.00 1.00 1.00 1.00 I.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
00.0 0.03 0.03 0.06 -0.06 -0.19 -0.26 -0.29 -0.30
0.25 1.00 1.10 0.93 0.90 0.56 0.04 0.02 0.06 0.00
0.00 0.00 0.02 0.08 0.13 0.08 0.03 0.00 -0.01
00.0 0.02 0.01 0.00 -0.03 -0.09 -0.14 -0.17 -0.20
0.50 1.10 0.96 0.90 0.88 0.43 0.14 0.07 0.03 0.02
0.00 -0.02 0.05 0.10 0.24 0.16 0.08 0.03 0.01
00.0 0.00 -0.06 -0.06 -0.08 -0.05 -0.07 -0.09 -0.12
0.75 1.15 0.83 0.85 0.77 0.45 0:23 0.13 0.07 0.04
0.00 -0.02 0.06 0.17 0.22 0.18 0.11 0.06 0.03
00.0 -0.06 -0.09 -0.04 -0.03 -0.03 -0.03 0.04 -0.06
1.00 1.28 0.53 0.74 0.61 0.44 0.29 0.18 0.11 0.07
0.00 0.03 0.07 0.16 0.19 0.17 0.12 -0.08 0.05
00.0 -0.07 -0.06 -0.036 -0.02 -0.004 0.00 -0.01 -0.02
1.25 1.07 0.88 0.74 0.59 0.45 0.32 0.21 0.14 0.09
0.00 0.07 0.104 0.13 0.17 0.16 0.13 0.10 0.07
0.00 0.00 -0.003 -0.01 0.01 0.02 0.02 0.01 0.01
1.50 0.98 0.83 0.70 0.57 0.44 0.33 0.28 0.17 0.12
0.00 0.07 0.11 0.14 0.15 0.15 0.13 0.11 0.08
00.0 00.0 10.0 0.02 -0.02 0.03 0.03 0.03 0.02
1.75 0.90 0.75 0.66 0.55 0.44 0.34 0.26 0.19 0.14
0.00 0.07 0.11 0.13 0.15 0.14 0.13 0.11 0.09
00.0 00.0 10.0 0.02 osT3 0.03s Q.04 0.04 0.04
2.00 0.8? 0.13 0.63 0.53 0.44 0.35 0.21 0.21 0.16
0.00 0.06 0.10 -0.13 0.14 0.14 0.13 0.11 0.10
NOTES i
1 The order of listing of the stresses cx, cry, cry is !
\5
2 The negative sign indicates tension and positive sign indicates compression.
4
SP 55 : 1993
Table 4 Stresses in Central Wall Due to Unit Shear Force
(Clause 2.3)
fZ:l
NIGIRO -, -
\
0.0000 0.699 4 2.92.50* 1.0246 0.6994 0.5394 0.441 3 0.3742 0.325 2 clx
0.00 o.oooo 0.0000 0.0000 0.0000 00.0000 0.0000 0.000 0.000 0 0.000 0 OY
-1.0000 -1.0000 -1.0000 00.000 0.0000 0.0000 0.0000 0.000 0 0.0000 =Y
000.0 0 0.385 0 0.6023 0.669 5 0.582 0 0.4868 0.413 1 0.357 3 0.3142 0.x
0.25 0.0000 0.127 3 0.299 6 0.146 9 0.055 1 0.025 5 0.013 8 0.008 4 0.005 5 ay
-0.4502 -0.3929 -0.347 1 -0.285 1 -0.1707 -0.1082 -0.074 1 -0.0539 -0.0409 WY
000.0 0 0.147 4 0.2577 0.348 8 0.385 0 0.373 4 0.344 6 0.313 4 0.2846
0.50 0.0000 0.156 7 0.2546 0.2107 0.1273 0.073 9 0.044 9 0.0289 0.0196
-0.181 7 -0.186 2 -0.225 1 -0.248 9 -0.2112 -0.1614 -0.122 0 -0.0939 -0.073 9
000.0 0 0.059 8 0.121 5 0.1873 0.238 5 0.262 7 0.265 7 0.257 4
0.75 0.0000 0.1273 0.2037 0.202 2 0.156 7 0.109 8 0.075 3 0.052 4
-0.0805 -0.097 8 -0.142 4 -0,180 6 -0.1848 -0.165 0 -0.1388 -0.114 5
000.0 0 0.026 9 0.061 5 0.1019 0.147 4 0.178 8 0.1962 0.2024
1.00 0.0000 0.095 9 0.159 2 0.175 4 0.156 7 0.125 4 0.0955 0.0717
-0.0405 -0.055 1 -0.0908 -0.126 9 -0.145 7 -0.145 6 -0.1342 -0.118 8
0.0000 0.013 4 0.033 2 0.0612 0.092 7 0.1210 0.142 0 0.155 1 0.1616 ax
1.25 0.0000 0.072 0 0.1242 0.146 9 0.144 0 0.126 5 0.104 7 0.084 1 0.066 8 OY
-0.022 7 -0.0332 -0.0595 -0.0892 -0.1110 -0.1204 -0.119 6 -0.1126 -0.102 8 WY
0.0000 0.0072 0.0191 0.0373 0.0598 0.0826 0.1024 0.1174 0.127 5 ox
1.50 0.0000 0.055 1 0.0979 0.1219 0.127 3 0.119 8 0.105 8 0.089 9 0.074 9 w
-0.0138 -0.0212 -0.0403 -0.063 6 -0.0839 -0.096 9 -0.102 1 -0.1013 -0.096 7 WY
0.000 0 0.002 6 0.007 4 0.015 5 0.026 9 0.0403 0.054 1 0.067 0 0.078 0 ux
2.00 0.0000 0.0343 0.0637 0.0845 0.095 9 0.098 8 0.095 5 0.088 4 0.079 5 OY
-0.0062 -0.0100 -0.0203 -0.0343 -0.0490 -0.061 5 -0.0706 -0.075 9 -0.077 9 =J
* at x/b = 0.49 and y/b = 0
Note-Positive sign indicates compressive stresses and negative signindicatestensile stresses.
5
