Table of the Functions

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


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


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


2/20

oulomb Active Force coulombactforce

a m



d (friction)

e

f

Force P

a

b

c m

*eight *e


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




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%


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


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


o

h/(depth of water on active side)

h&(depth of water on passive side)

Pp(Passive Force)


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


b 2 (2ase of *all) 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)


*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&


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


m

b m

c md m

e m

f m

g

h

i

7

!

!#$m%

!#$m&


(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

((!

_


6/20

l

m m

ecc

a


m

b m

c m

d m

e m

f m

gh

i

7

!

l

m m

forSo"eSta#iit$

*eight *e




*cosalpha


b b(width of element) mc d(depth of element) m

d

*sinalpha




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)


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


b n.


d ngamma


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


(5rained)

!#$m&

!#$m%

!#$m&


8/20

F

unctionsforS%ao&F

oun!ations

g nc

.ultstripun

a nc



d n.

.ults.uaredr


b n.


d ngamma


f c' (cohesion)

g nc

.ults.uareun

a nc



d n.

.ultcircdr


b n.c 2 (/$& base of wall) m

d ngamma


f c' (cohesion)

g nc

.ultcircun

a nc




(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&


9/20

d n.

Settlement Settlement/

a m

b m

c m

.ma3str


b 2 ( 2ase of Footing) m


.minstr


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


10/20

E'UATIONS

!a(h8

wh

w9 surcharge)8 &c'(!

a

/$&)

!p( h8

wh

w) 9 &c'(!

p

/$&)

cos$8sin$

1/" _"cos%


11/20

bd

( bd)cos

1/" "_cos(&())

1/"( _1 #_" )

!/*_


12/20

(/d

/9

&d

&9

%d

%) 8

wd

w

;(


13/20

Pacos8*

osin

nc9 .n

.9 (/$&)2'n

( /" ! ) #+ ++ /_

(* )

/( 1 #)6/

/( 1 )6/


14/20

.n.9 (/$&)2

'n

) tan _(1 ) ( _" )+ _( " ) #

)/ )(_

( )_ /_


15/20

bd

( bd)cos

( bd)sin

/"(

,_ )/( )_


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


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


18/20

/( 1 #)6/

/( 1 )6/

3o((_

)/_! 1+

_ )


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


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

Date post:	01-Jun-2018
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Table of the Functions

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