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8/9/2019 Table of the Functions
1/20
DEFINITION FUNCTIONS PARAMETERS
VARIABLES REPRESENTATION UNITS
Active Earth Pressure epactive
a (unit weight of soil)
b d(depth of soil) m
c md c' (cohesion)
e ' (effective friction angle of soil)
f Surcharge Stress
Passive Earth Pressure eppassive
a (unit weight of soil)
b d(depth of soil) m
c m
d c' (cohesion)
e ' (effective friction angle of soil)
Active Force wedge
a H (height of retaining wall) m
b (unit weight of soil)
c ' (effective friction angle of soil)
an!ine Active Force actforce
a m
b (unit weight of soil)
c " (effective friction angle of soil)
d
!#$m%
dw(depth of water)!#$m&
o
!#$m&
!#$m%
dw(depth of water)
!#$m&
o
!#$m%
o
H (Height of soil acting on theretaining wall)
!#$m%
o
(angle of sloped bac!fill) o
8/9/2019 Table of the Functions
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oulomb Active Force coulombactforce
a m
b (unit weight of soil)
c " (effective friction angle of soil)
d (friction)
e
f
Force P
a
b
c m
*eight *e
a (unit weight of soil)
b b(width of element) m
c d(depth of element) m
+verturning ,oment
a !#
b " (effective friction angle of soil)
c H(total height of soil) m
*cosalpha
a (unit weight of soil)
b b(width of element) m
c d(depth of element) m
d
a
H (Height of soil acting on theretaining wall)
!#$m%
o
o
- (slope of soil at the surface fromthe wall)
o
(angle of sloped bac!fill) o
./(/st stress value) !#$m&
.&(/st stress value) !#$m&
H (change in height betweenstresses
!#$m%
,o
Pa(active force)
o
#umerator for factor ofsafet0 against sliding with#+ water table and thepassive pressure is #+1
considered
!#$m%
(angle of wedge due to !e0) o
/(unit weight of first soil la0er) !#$m%
8/9/2019 Table of the Functions
3/20
onsforRetainingW
a
Effective Stress sigmap
b m
c
d m
e
f m
g m
Shear Strength tau
a
b
c + (+verconsolidated atio)
d c' (cohesion)
slidingnum
a * (1otal *eight) !#
b
c " (effective friction angle of soil)
d m
e m
f !#
g 2 (2ase of *all) m
d/(depth of first soil la0er)
&(unit weight of second soil
la0er)!#$m%
d/(depth of second soil la0er)
%(unit weight of second soil
la0er)!#$m%
d%(depth of second soil la0er)
dw(depth of water)
' (effective stress) !#$m&
' (efective riction angleo soil)
o
!#$m&
#umerator for top e.uationfor factor of safet0 against
sliding
(angle of wedge due to !e0) o
o
h/(depth of water on active side)
h&(depth of water on passive side)
Pp(Passive Force)
8/9/2019 Table of the Functions
4/20
Functi
slidingdenom
a !#
b
c !#
Eccentricit0 ec
a 2(/$& 2ase of wall) m
b m
c !#
d !#
e m
f m
.ma3str
a 4 (1otal applied load) !#
b 2 ( 2ase of *all) m
c e (eccentricit0) m
.minstr
a 4 (1otal applied load) !#
b 2 (2ase of *all) m
c e (eccentricit0) m
2earing apacit0 Factors
nc a " (effective friction angle of soil)
n. a " (effective friction angle of soil)
ngamma a " (effective friction angle of soil)
.ultstripdr
a . (Effective Stress)
b n.
c 2 (/$& base of wall) m
d ngamma
5enominator for e.uationfor factor of safet0 against
sliding
Pa(Active Force)
(angle of wedge due to !e0) o
*o
(Wx/W)
Pa(Active Force)
* (1otal weight e3cludingweight of wedge)
Htotal
(1otal height of wall including
!e0)
H!e0
(Height of !e0)
,a3imum Stress due toeccentricit0 for retaining
wall
,inimum Stress due toeccentricit0 for retaining
wall
o
o
o
6ltimate 2earing apacit0for a Strip Footing
!#$m&
8/9/2019 Table of the Functions
5/20
e (unit weight o soil)
f c' (cohesion)
g nc
.ultstripun
a nc
b (6ndrained Shear Strength)
c . (Effective Stress)
d n.
FSrc
a
efer to drawing in Appendi3
m
b m
c m
d m
e m
f m
g
h
i
FSsc
a
efer to drawing in Appendi3
m
b m
c md m
e m
f m
g
h
i
7
!
!#$m%
!#$m&
6ltimate 2earing apacit0for a Strip Footing
(6ndrained)
!#$m&
!#$m&
otational Factor of safet0for a cantilever wall
o
!#$m%
o
Factor of safet0 againstsliding for a cantilever wall
o
!#$m%
o
!#$m%
o
((!
_
8/9/2019 Table of the Functions
6/20
l
m m
ecc
a
efer to drawing in Appendi3
m
b m
c m
d m
e m
f m
gh
i
7
!
l
m m
forSo"eSta#iit$
*eight *e
a (unit weight of soil)
b b(width of element) m
c d(depth of element) m
*cosalpha
a (unit weight of soil)
b b(width of element) mc d(depth of element) m
d
*sinalpha
a (unit weight of soil)
b b(width of element) m
c d(depth of element) m
d
a m
!#$m&
Eccentricit0 for a cantileverwall
o
!#$m%
o
!#$m%
o
!#$m&
!#$m%
Part of numerator for factorof safet0 for slope stabilit0
!#$m%
(angle centre line to centre ofslice)
o
Part of numerator for factorof safet0 for slope stabilit0
!#$m%
(angle centre line to centre ofslice)
o
hw
(depth of water table)
8/9/2019 Table of the Functions
7/20
Functionsuse!
ub b (width of slice) m
c
cl
a c' (cohesion)
b b (width of slice) m
c
slopetop
a !#
b 6 !#
c
d cl !#
2earing apacit0 Factors
nc a " (effective friction angle of soil)
n. a " (effective friction angle of soil)
ngamma a " (effective friction angle of soil)
.ultstripdr
a . (Effective Stress)
b n.
c 2 (/$& base of wall) m
d ngamma
e (unit weight o soil)
f c' (cohesion)
Force due to pore waterpressure
(angle between centre line andcentre base of slice)
o
cbsec
!#$m&
(angle between centre line andcentre base of slice)
o
(*cos86)tan' 9cl
*cos
' (efective riction angleo soil)
o
o
o
o
6ltimate 2earing apacit0for a Strip Footing
(5rained)
!#$m&
!#$m%
!#$m&
8/9/2019 Table of the Functions
8/20
F
unctionsforS%ao&F
oun!ations
g nc
.ultstripun
a nc
b (6ndrained Shear Strength)
c . (Effective Stress)
d n.
.ults.uaredr
a . (Effective Stress)
b n.
c 2 (/$& base of wall) m
d ngamma
e (unit weight o soil)
f c' (cohesion)
g nc
.ults.uareun
a nc
b (6ndrained Shear Strength)
c . (Effective Stress)
d n.
.ultcircdr
a . (Effective Stress)
b n.c 2 (/$& base of wall) m
d ngamma
e (unit weight o soil)
f c' (cohesion)
g nc
.ultcircun
a nc
b (6ndrained Shear Strength)
c . (Effective Stress)
6ltimate 2earing apacit0for a Strip Footing
(6ndrained)
!#$m&
!#$m&
6ltimate 2earing apacit0for a Pad Footing
(5rained)
!#$m&
!#$m%
!#$m&
6ltimate 2earing apacit0for a Pad Footing
(6ndrained)
!#$m&
!#$m&
6ltimate 2earing apacit0for a ircular Footing
(5rained)
!#$m&
!#$m%
!#$m&
6ltimate 2earing apacit0for a ircular Footing
(6ndrained)
!#$m&
!#$m&
8/9/2019 Table of the Functions
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d n.
Settlement Settlement/
a m
b m
c m
.ma3str
a 4 (1otal applied load) !#
b 2 ( 2ase of Footing) m
c e (eccentricit0) m
.minstr
a 4 (1otal applied load) !#
b 2 (2ase of Footing) mc e (eccentricit0) m
eo(:nitial void ratio)
ef(final void ratio)
Ho(1hic!ness of cla0 la0er)
,a3imum Stress of Stripfooting
,inimum Stress of Stripfooting
8/9/2019 Table of the Functions
10/20
E'UATIONS
!a(h8
wh
w9 surcharge)8 &c'(!
a
/$&)
!p( h8
wh
w) 9 &c'(!
p
/$&)
cos$8sin$
1/" _"cos%
8/9/2019 Table of the Functions
11/20
bd
( bd)cos
1/" "_cos(&())
1/"( _1 #_" )
!/*_
8/9/2019 Table of the Functions
12/20
(/d
/9
&d
&9
%d
%) 8
wd
w
;(
8/9/2019 Table of the Functions
13/20
Pacos8*
osin
nc9 .n
.9 (/$&)2'n
( /" ! ) #+ ++ /_
(* )
/( 1 #)6/
/( 1 )6/
8/9/2019 Table of the Functions
14/20
.n.9 (/$&)2
'n
) tan _(1 ) ( _" )+ _( " ) #
)/ )(_
( )_ /_
8/9/2019 Table of the Functions
15/20
bd
( bd)cos
( bd)sin
/"(
,_ )/( )_
8/9/2019 Table of the Functions
16/20
hw
wbsec
cbsec
(*cos86)tan' 9cl
for ' >?@ nc> BCD for'?@ nc>
nc9 .n
.9 (/$&)2'n
"-(.0 ,!/* !/)( 2 "
(20#!/"))
(_,1)/
!
" #1 !/(_ )(1#. 2!)4
8/9/2019 Table of the Functions
17/20
.n.9 (/$&)2
'n
/B%nc9 .n
.9(?B) (/$&)2'n
.n.9 (?B)(/$&)2
'n
/B%nc9 .n
.9(?BG) (/$&)2'n
.n.9 (?BG)(/$&)2
'n
8/9/2019 Table of the Functions
18/20
/( 1 #)6/
/( 1 )6/
3o((_
)/_! 1+
_ )
8/9/2019 Table of the Functions
19/20
(Strongl0 5isagree > /@ 5isagree> &@ ,oderate > % @ Agree> @ Strongl0 Agree> )
4/B 5o 0ou find it difficult to solve geotechnical problems manuall0I
4&B 5o 0ou ma!e several mista!es before arriving at the correct answerI
4%B *ould it be easier if 0ou had an answer 0ou could wor! towardsI
4B From the given manual@ are the functions created eas0 to useI
4CB an spreadsheets be generated for solving problems from the created functionsI
4BSome .uestions in the given assignments are practical for real life situations andcannot be solved manuall0 within a short period of time (at least & hours)I
4GB Are the functions helpful towards obtaining the correct answersI
4B 5oes using ,icrosoft E3cel with these functions improve 0our understanding for thespecific topics in this field of engineeringI
4JB 5o 0ou believe that using these functions would save timeI
4/?B *ould the repetitive use of this software add an e3tra s!ill that would be applicablein the 7ob mar!etI
8/9/2019 Table of the Functions
20/20
Average esponse
B? 415
B 15
%BG "5
BG *5
%B& 05
B/ 4"5
BC 25
&BJ 05
B/ 4"5
%B 5
6ercentage o7gree8ent