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Evaluating strength tests from foundation failures/ resistance au
cisaillement: evaluation des essais
Bozozuk, M.
https://publications-cnrc.canada.ca/fra/droits
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Ser
TH1
N21d
no.
747
c.
2
$
Council Canada
National Research
Conseil national
de
recherches
Canada
4 N 4 ~ ~ ~ E D
EVALUATING STRENGTH TESTS FROM
FOUNDATION FAILURES
Reprinted, with permission, from
11
BUILD!P!G
RESEARCH
Proceedings,
IXth
International Conference on
-
LiBRARY
-
Soil
Mechanics and Foundation Engineering
i
I
B
VOL
I,
1977
1;DEC
12
1977
Ip.
55
-
59
'#DBR Paper No.
747
Division of Building Research
SO MMAIRE
L a r u p t u r e de l a capacitd portante des s o u s - s o l s de t r o i s s i l o s -
t o u r s a 6th analysde & l1aide dlun scissom'etre in s i t u e t d l e s s a i s
de r e s i s t a n c e triaxiale s u r d e s dchantillons d l a r g i l e obtenus avec
d e s dprouvettes cylindriques 'aparois minces. Les enqu8tes effec-
tuds en Ontario, au Canada, s u r un s i l o dlune hauteur de 15m
reposant s u r de l ' a r g i l e stratifide
'a
New L i s k e a r d , puis s u r un
s i l o dlune hauteur de 21m reposant s u r de l l a r g i l e marine con-
solidde presque normalement
'a
Vankleek Hill, e t s u r u n s i l o dlune
hauteur de 32m reposant s u r d e l 1 a r
gile surconsolid6e pr'es de
Richmond.
Une historique de c a s p e r m e t l'dvaluation de c e s
mdthodes d l e s s a i pour m e s u r e r l a r e s i s t a n c e au cisaillement
d e s s o l s de fondations.
L e s analyses ont montrd que l e scissom'etre d e llInstitut norvdgien
de gdotechnique a mesurd l e s r e s i s t a n c e s au cisaillement moy-
ennes i n s i t u addquatement e t que c e s r d s i s t a n c e s peuvent S t r e
utilisdes pour p r d d i r e l a capacitd portante ultime. En compa-
r a i s o n l e s e s s a i s de r d s i s t a n c e triaxiale sous-estimaient l e s
r d s i s t a n c e s m e s u r d e s avec l e scissom'etre dans l l a r g i l e s t r a -
tifide e t dans l l a r g i l e marine f i s s u r d e ou dessech6e.
Sous l e
s o l dessdchd l e s r e s i s t a n c e s d e pointe t r i a x i a l e s excddaient l e s
r d s i s t a n c e s du scissom'etre, mais lee valeurs dlapr'es pointe
dtaient considdrablement plus b a s s e s . L e s e s s a i s d e r 6 s i s t a n c e
'a l a compression sans contrainte laterale ont sous-estimh con-
sequemment l e s m e s u r e s i n s i t u du cisaillement. Les r a i s o n s
pour le comportement du scissom'etre qui apparait satisfaisant
pour p r d d i r e l a capacitd portante ultime s o n t discutdes.
Evaluating Strength Tests from Foundation Failures
Resistance au Cisaillement', Evaluation des Essais
.hr4
v z ~ ~
M.BOZOZUK
Geotechnical Section, Division of Building Research, National Research Council of Canada, CanadaSYNOPSIS Three b e a r i n g c a p a c i t y f a i l u r e s o f tower s i l o s have been analysed using i n s i t u vane and t r i a x i a l s t r e n g t h t e s t s on thin-wall p i s t o n tube samples o b t a i n e d from t h e foundation c l a y s . The i n v e s t i g a t i o n s were c a r r i e d o u t i n O n t a r i o , Canada, on a 15-m high s i l o on varved c l a y a t New Liskeard, on a 21-m high s i l o on n e a r - normally c o n s o l i d a t e d marine c l a y a t Vankleek H i l l , and on a 32-m high s i l o on o v e r c o n s o l i d a t e d marine c l a y n e a r Richmond. Case records p e r m i t t e d e v a l u a t i o n o f t h e s e t e s t methods f o r measuring s h e a r s t r e n g t h o f t h e foundation s o i l s .
Analyses showed t h a t t h e NGI vane measured t h e average s h e a r s t r e n g t h s adequately i n s i t u and t h a t t h e s e s t r e n g t h s can be used t o p r e d i c t u l t i m a t e b e a r i n g c a p a c i t y . I n comparison, t r i a x i a l s t r e n g t h t e s t s underestimated t h e vane t e s t s t r e n g t h s i n t h e varved c l a y s and i n t h e f i s s u r e d o r d e s i c c a t e d marine c l a y . Below t h e d e s i c c a t e d s o i l t h e t r i a x i a l peak s t r e n g t h s exceeded t h e vane s t r e n g t h s , b u t t h e post-peak values were considerably lower. The unconfined t e s t s c o n s i s t e n t l y underestimated t h e i n s i t u measurements. The reasons f o r t h e apparent s a t i s f a c t o r y performance o f t h e vane f o r p r e d i c t i n g u l t i m a t e b e a r i n g c a p a c i t y a r e d i s c u s s e d .
INTRODUCTION NEW LISKEARD
For s o i l t o s u p p o r t a s t r u c t u r e , a s h e a r i n g r e s i s t a n c e equal t o t h e a p p l i e d s t r e s s e s must be mobilized with- i n t h e s o i l mass. The maximum r e s i s t a n c e t h a t can b e mobilized a t any p o i n t w i t h i n t h e mass i s equal t o t h e peak s h e a r s t r e n g t h . Both t h e peak s t r e n g t h and t h e s t r a i n a t which i t occurs u s u a l l y vary from p o i n t t o p o i n t and with d i r e c t i o n o f a p p l i e d s h e a r s t r e s s . To mobilize the r e q u i r e d s h e a r i n g r e s i s t a n c e , t h e r e - f o r e , d i f f e r i n g s t r a i n s must develop i n p r o g r e s s i o n along t h e c r i t i c a l p l a n e . The s o i l may then b e s t r e s s e d t o post-peak, peak, and pre-peak v a l u e s , depending upon t h e magnitude o f t h e a p p l i e d load and l o c a t i o n along t h e c r i t i c a l s h e a r p l a n e . Consequently,
i t i s impossible t o develop t h e peak s h e a r i n g r e s i s t a n c e simultaneously a l o n g the e n t i r e s h e a r i n g s u r f a c e . ?he u l t i m a t e b e a r i n g c a p a c i t y o f t h e s o i l i s n o t r e l a t e d t o t h e peak s t r e n g t h b u t t o some "average" s t r e n g t h i n t e r m e d i a t e between t h e peak and post-peak o r residua2 s t r e n g t h o f t h e s o i l .
In a n a l y s i n g t h r e e b e a r i n g c a p a c i t y f a i l u r e s o f tower s i l o s c o n s t r u c t e d on d i f f e r e n t c l a y s o i l s i n O n t a r i o , s h e a r s t r e n g t h s were measured i n s i t u with a
55 x 110 mm NGI vane (Anderson and Bjerrum, 1956) and i n t h e l a b o r a t o r y on undisturbed s o i l samples o b t a i n e d with a 54-mm d i a t h i n - w a l l p i s t o n tube sampler
(Bjerrum 1954). These t e s t r e s u l t s were used t o p r e d i c t u l t i m a t e b e a r i n g c a p a c i t y , which could then be compared with t h e known b e a r i n g c a p a c i t y of t h e s o i l a t f a i l u r e . The f i e l d vane t e s t , s e v e r e l y c r i t i c i z e d by Schmertmann (1975), LaRochelle e t a l . (1973, 1974) and Roy (1975), h a s provided t h e most reasonable value o f i n s i t u "average" s h e a r s t r e n g t h f o r
determining t h e u l t i m a t e b e a r i n g c a p a c i t y o f t h e s o i l s . This paper compares t h e r e s u l t s o f t h e s e s t r e n g t h t e s t s and d i s c u s s e s t h e reasons f o r t h e apparent s a t i s f a c t o r y performance o f t h e vane.
%
In J u l y 1961 a 15.24-111 h i g h , 6.10-m d i a p r e c a s t c o n c r e t e s t a v e s i l o 6 km n o r t h e a s t o f New Liskeard had j u s t been f i l l e d f o r t h e f i r s t time with hay s i l a g e when i t f a i l e d suddenly as a r e s u l t o f a b e a r i n g c a p a c i t y f a i l u r e (Eden and Bozozuk, 1962) . The r e s u l t s o f f i e l d and l a b o r a t o r y t e s t s on s o i l s from t h e s i t e a r e summarized i n Figure 1. The s o i l p r o f i l e (Figure l a ) showed a weathered c r u s t t o a depth o f 1 . 5 m, u n d e r l a i n by l a y e r s o f s o f t , s e n s i t i v e brown c l a y s and grey varved c l a y s t o a depth o f 6.7 m. Below t h i s t h e sample b o r i n g t r a v e r s e d grey varved c l a y s t o a depth of 14 m. These c l a y s a r e d e p o s i t s o f g l a c i a l Lake Barlow.
C l a s s i f i c a t i o n t e s t s (Figure l b ) on t h e s o i l a t depths from 2 t o 6 m show a p l a s t i c i t y index of about 40 p e r c e n t , a l i q u i d l i m i t o f about 60 p e r c e n t , and a n a t u r a l w a t e r c o n t e n t o f about 80 p e r c e n t . These v a l u e s decreased below 7 m.
The s h e a r s t r e n g t h s shown on Figure l c a r e from i n - s i t u vane t e s t s , l a b o r a t o r y unconfined undrained
(UU)
,
and c o n s o l i d a t e d i s o t r o p i c a l l y undrained (CIU) t r i a x i a l s t r e n g t h t e s t s on u n d i s t u r b e d s o i l samples. The UU and CIU t e s t s were performed a t s t r a i n r a t e s of 1 p e r c e n t p e r minute and 2 p e r c s n t p e r hour, r e s p e c t i v e l y . The c o n f i n i n g p r e s s u r e s f o r t h e CI Ut e s t s were made equal t o t h e e f f e c t i v e overburden p r e s s u r e . Proving r i n g s were used t o measure t h e a p p l i e d a x i a l l o a d s .
The e s t i m a t e d t o t a l weight o f t h e s i l o and i t s c o n t e n t s when f i l l e d was 449 tonnes (hay s i l a g e 314 tonnes, s t r u c t u r e and foundation 135 t o n n e s ) . Using t h e e q u a t i o n f o r u l t i m a t e b e a r i n g c a p a c i t y (Skempton, 1951):
1/12 5 0 1 1 P R O F I L E W A T E R C O N T E N T , % S H E A R S T R E N G T H TI, k P a T R l A X l A L C I U S T R E N G T H T E S T S A X I A L f T R & I N e l , Rb ( d l F i g u r e 1 Engineering P r o p e r t i e s o f S o i l a t New L i s k e a r d where q U = u l t i m a t e b e a r i n g c a p a c i t y o f t h e s o i l c = a v e r a g e s h e a r s t r e n g t h o f t h e s o i l t o a d e p t h below t h e f o u n d a t i o n e q u a l t o 2 / 3 o f t h e o u t s i d e d i a m e t e r o f t h e f o u n d a t i o n N = s h a p e f a c t o r P = overburden p r e s s u r e above t h e b a s e o f t h e f o u n d a t i o n and u s i n g a l s o t h e a v e r a g e s h e a r s t r e n g t h o f t h e s o i l measured i n s i t u w i t h t h e vane, t h e u l t i m a t e b e a r i n g c a p a c i t y o f t h e s o i l was determined t o b e 4 4 7 t o n n e s . T h i s gave a f a c t o r o f s a f e t y o f 1 . 0 0 a t f a i l u r e . The two l a b o r a t o r y s t r e n g t h t e s t methods produced s h e a r s t r e n g t h s c o n s i d e r a b l y below t h o s e measured
i n
s i t u w i t h t h e vane. Using t h e s e r e s u l t s t h e f a c t o r o f s a f e t y a t f a i l u r e was a b o u t 0 . 8 ; t h a t i s , t h e u l t i m a t e b e a r i n g c a p a c i t y would have b e e n c o n s i d e r a b l y u n d e r e s t i m a t e d . The r e a s o n f o r t h e low s t r e n g t h s mayS O I L P R O F I L E i L A l E R C O N T E N T , % S H E A R S T R E N G T H T , , k P o T R l A X l A L C A U S T R E N G T H T E S T S
be deduced from a s t u d y o f t h e CIU s t r e s s - s t r a i n c u r v e s ( F i g u r e I d ) . The d e v i a t o r s t r e s s i n c r e a s e d r a p i d l y t o a maximum v a l u e t h e n l e v e l l e d o f f . The a b s e n c e o f s h a r p p e a k s from t h e s t r e s s - s t r a i n c u r v e s may b e due t o d i s t u r b a n c e from s a m p l i n g and t r a n s i t t o t h e l a b o r a t o r y . Consequently t h e s e t e s t s d i d n o t measure t h e peak s t r e n g t h o f t h e s o i l b u t produced a measure o f t h e p o s t - p e a k r e s i d u a l s t r e n g t h .
VANKLEEK HILL
On 30 September 1970 a 21.34-111 h i g h , 6.10-m d i a c o n c r e t e tower s i l o a b o u t 5 km s o u t h o f Vankleek H i l l
o v e r t u r n e d s u d d e n l y due t o a b e a r i n g c a p a c i t y f a i l u r e j u s t a f t e r i t had been f i l l e d f o r t h e f i r s t time w i t h 492 t o n n e s o f c o r n s i l a g e (Bozozuk, 1 9 7 2 ) . The s o i l s a r e n e a r - n o r m a l l y c o n s o l i d a t e d marine d e p o s i t s of t h e Champlain S e a .
The s o i l p r o f i l e ( F i g u r e 2a) shows a d e s i c c a t e d s i l t y c l a y t o a d e p t h o f 3 . 3 m o v e r l y i n g g r e y , s o f t , s i l t y c l a y w i t h some b l a c k m o t t l i n g . T h i s e x t e n d s t o a d e p t h o f a t l e a s t 20 m. C l a s s i f i c a t i o n t e s t s ( F i g u r e 2b) i n d i c a t e d a l i q u i d l i m i t o f 82 p e r c e n t n e a r t h e b a s e o f t h e s i l o f o o t - i n g s , d e c r e a s i n g t o a b o u t 60 p e r c e n t below a d e p t h o f 3 m . The a v e r a g e p l a s t i c i t y i n d e x was a b o u t 36 p e r c e n t . N a t u r a l w a t e r c o n t e n t was a b o u t 55 p e r c e n t a t f o u n d a t i o n l e v e l and i n c r e a s e d w i t h d e p t h t o a l m o s t 95 p e r c e n t , e x c e e d i n g t h e l i q u i d l i m i t a t each l e v e l by n e a r l y 30 p e r c e n t . G r a i n s i z e a n a l y s i s i n d i c a - t e d t h a t 85 t o 90 p e r c e n t o f t h e s o i l p a r t i c l e s were c l a y s i z e .
I n s i t u vane s h e a r t e s t s and l a b o r a t o r y t r i a x i a l CAU t e s t s performed on u n d i s t u r b e d s o i l samples a r e p l o t t e d on F i g u r e 2c. The CAU t e s t s were performed a t a s t r a i n r a t e o f 2 p e r c e n t p e r h o u r , and t h e a x i a l l o a d s were measured w i t h a n e l e c t r i c f o r c e t r a n s d u c e r . C o n s o l i d a t i o n p r e s s u r e s f o r t h e s e t e s t s were o l =
PA,
t h e c e l l p r e s s u r ea,
= KOPA
where Po i s t h e e f f e c t i v e o v e r b u r d e n p r e s s u r e , and KO = 0 . 5 . A t t h e time o f f a i l u r e t h e combined w e i g h t o f t h e s t r u c t u r e , s i l a g e and f o u n d a t i o n s was 672 t o n n e s . Using t h e a v e r a g e i n s i t u s h e a r s t r e n g t h o f t h e s o i l measured w i t h t h e vane t h e e s t i m a t e d f a c t o r o f s a f e t y was 1 . 1 0 . A d d i t i o n a l t e s t s p e r f o r m e d w i t h a s m a l l vane on u n d i s t u r b e d s o i l samples a t p r e - s e l e c t e d i n c l i n a t i o n s from t h e v e r t i c a l p r o v i d e d c o r r e c t i o n s f o r t h e s l o p e o f t h e f a i l u r e s u r f a c e (Bozozuk, 1972). When a p p l i e d t o t h e i n s i t u f i e l d vane s t r e n g t h s , t h e f a c t o r o f s a f e t y a g a i n s t a b e a r i n g c a p a c i t y f a i l u r e was r e d u c e d t o 0 . 9 9 . T h i s c o r r e c t i o n a g r e e d w i t h B j e r r u m ' s (1972) f a c t o r b a s e d on t h e p l a s t i c i t y i n d e x o f t h e s o i 1 .CAU t r i a x i a l s t r e n g t h s a r e compared w i t h i n s i t u vane s11ear s t r e n g t h s on F i g u r e 2c. I n t h e d e s i c c a t e d c r u s t t h e CAU v a l u e s f a l l below t h o s e measured i n s i t u w i t h t h e v a n e . The s t r e s s - s t r a i n c u r v e s i n t h i s s o i l f o r m a t i o n ( c u r v e s 1 and 2 i n F i g u r e 2d) do n o t d i s p l a y a s h a r p peak b u t l e v e l o f f a t t h e maximum d e v i a t o r s t r e s s , g i v i n g some measure o f t h e " r e s i d u a l " s t r e n g t h o f t h i s s o i l . I n t h e n o r m a l l y - c o n s o l i d a t e d s i l t y c l a y below t h e d e s i c c a t e d f o r m a t i o n , t h e CAU s h e a r s t r e n g t h s v a r i e d from 100 t o 130 p e r c e n t o f t h e i n s i t u vane s h e a r s t r e n g t h s . The s t r e s s - s t r a i n c u r v e s ( c u r v e s 3, 4 , 5 i n F i g u r e 2d) d i s p l a y a s h a r p peak a t f a i l u r e , f o l l o w e d by a r a p i d d r o p - o f f w i t h i n c r e a s i n g a x i a l s t r a i n . U n f o r t u n a t e l y t h e t e s t s were n o t f o l l o w e d t h r o u g h t o l a r g e s t r a i n s when t h e y were performed and c o n s e q u e n t l y t h e minimum p o s t - p e a k s t r e n g t h s r r were n o t d e t e r m i n e d . The t r e n d i n F i g u r e 2c, however, i n d i c a t e s t h a t
r r
c o u l d b e s m a l l e r t h a n t h e vane s h e a r s t r e n g t h s . RICHMOND ROAD On 30 September 1975 a 32.3-m h i g h , 9.14-m d i a tower s i l o w i t h 152-mm t h i c k c o n c r e t e w a l l s o v e r t u r n e d d u r i n g f i l l i n g w i t h c o r n s i l a g e when t h e l o a d r e a c h e d 1797 t o n n e s . I t was s u p p o r t e d on a c i r c u l a r c o n c r e t e r i n g f o u n d a t i o n 61 mm t h i c k , w i t h o u t s i d e and i n s i d e d i a m e t e r s o f 11.89 and 7.62 m, r e s p e c t i v e l y . The f o u n d a t i o n c o n t a i n e d no s t e e l r e i n f o r c i n g . The t o t a l w e i g h t o f t h e s t r u c t u r e , i t s c o n t e n t s and f o u n d a t i o n a t t h e t i m e o f f a i l u r e was a b o u t 2258 t o n n e s . The s i l o was e r e c t e d a b o u t 7 km n o r t h o f Richmond on a c l a y p l a n e o f o v e r c o n s o l i d a t e d marine d e p o s i t s o f t h e Champlain S e a . The s o i l p r o f i l e ( F i g u r e 3a) shows brown d e s i c c a t e d c l a y e y s i l t t o a d e p t h o f 2.4 m, changing t o g r e y c l a y e y s i l t t o 3 . 1 m, and u n d e r l a i n by g r e y s i l t y c l a y s w i t h b l a c k m o t t l i n g . A t 15.5 m t h i s changed t o a g r e y , b r i t t l e , s i l t y c l a y . The c l a s s i f i c a t i o n t e s t s shown on F i g u r e 3b i n d i c a t e t h a t t h e p l a s t i c i t y i n d e x and l i q u i d l i m i t s were a b o u t c o n s t a n t f o r t h e s o i l p r o f i l e a t 20 and 40 p e r c e n t r e s p e c t i v e l y . The n a t u r a l w a t e r c o n t e n t was a b o u t e q u a l t o t h e l i q u i d l i m i t s a t a d e p t h o f 2 m, b u t i t g r a d u a l l y i n c r e a s e d t o 60 p e r c e n t below a d e p t h o f 9 m. G r a i n s i z e a n a l y s i s i n d i c a t e d 37 p e r c e n t c l a y s and 6 3 p e r c e n t s i l t s a t 2 m, changing a l m o s t l i n e a r l y w i t h d e p t h t o 5 8 p e r c e n t c l a y and 42 p e r c e n t s i l t a t a d e p t h o f 16 m. The s h e a r s t r e n g t h o f t h e s o i l p l o t t e d on F i g u r e 3c was measured i n s i t u w i t h t h e vane, and i n t h el a b o r a t o r y w i t h u n c o n f i n e d u n d r a i n e d (UU) and c o n s o l i - d a t e d i s o t r o p i c a l l y u n d r a i n e d (CIU) t r i a x i a l s t r e n g t h t e s t s on u n d i s t u r b e d s o i l samples. The UU and CIU t e s t s were l o a d e d a t c o n s t a n t r a t e s o f s t r a i n o f 1 p e r c e n t p e r minute and 1 p e r c e n t p e r h o u r , r e s p e c - t i v e l y . A c e l l p r e s s u r e o f o c = KO PA where
KO = 0.75 was used i n t h e CIU t e s t s .
The u l t i m a t e b e a r i n g c a p a c i t y o f t h e s o i l f o r t h e s i l o , b a s e d on i n s i t u a v e r a g e vane s h e a r s t r e n g t h , was 241 kPa. The f a c t o r o f s a f e t y a t t h e time o f
f a i l u r e was d i f f i c u l t t o c a l c u l a t e b e c a u s e t h e non- r e i n f o r c e d c o n c r e t e f o o t i n g had c r a c k e d d u r i n g f i l l i n g o f t h e s i l o , r e d u c i n g t h e c o n t a c t a r e a f o r d i s t r i - b u t i o n o f t h e l o a d t o t h e f o u n d a t i o n s o i l . For t h e o r i g i n a l c o n t a c t a r e a o f 111.0 m2, t h e f a c t o r o f s a f e t y was 1 . 2 ; f o r a c o n t a c t a r e a e q u a l t o t h a t of t h e 9.14-111 d i a tower, i . e . , 70.1 m2, i t was 0 . 8 . A f a c t o r o f s a f e t y o f 1 . 0 0 would have b e e n o b t a i n e d i f t h e a c t u a l c o n t a c t a r e a a t t h e t i m e o f f a i l u r e had been 91 m 2 . Consequently, i t i s r e a s o n a b l e t o assume t h a t t h e u l t i m a t e b e a r i n g c a p a c i t y o f t h e s o i l was a d e q u a t e l y d e t e r m i n e d u s i n g t h e a v e r a g e s h e a r s t r e n g t h measured i n s i t u w i t h t h e vane.
CIU a n d UU s t r e n g t h t e s t r e s u l t s a r e compared w i t h t h e i n s i t u measurements on F i g u r e 3c. I n t h e d e s i c c a t e d c r u s t t h e CIU v a l u e s were lower t h a n t h o s e measured i n s i t u and t h e t r i a x i a l t e s t s c u r v e s ( 1 and 2
,
F i g u r e 3d) do n o t d i s p l a y a s h a r p peak. Below t h e c r u s t t h e t r i a x i a l t e s t c u r v e s ( 3 , 4, 5 ) developed a s h a r p peak a t f a i l u r e . The measured maximum1/12
S O I L PROFILE W A T E R C O N T E N T , OD S H E A R S T R E N G T H r,. k P . T R I A X I A L C I U S T R E N G T H T E S T S G R E Y S I L T Y G R E Y B R I T T L E 1 I 3 4 5 6 7 A X I A L S T R A I N el, %Figure 3 Engineering P r o p e r t i e s o f S o i l a t Richmond
F A C T O R O F S A F E T Y FOR L O A D I N G C O N D I T I O N S 1 , F S >, 3 2 , 1 < F S < 3
.
-&
-C O M P R E S S I O N S T R E S S E S E X T E N S I O N S T R E S S E S C R I T I C A L S H E A R P L A N E I / P E A K S H E A R S T R E N G T H OF T H E SOIL, T, P O S T P E A K " R E S I D U A L * S H E A R S T R E N G S H E A R P L A N E A B C O M P R E S S I O N E X T E N S I O N 1 l b ) T H .i n s i t u values. The post-peak s t r e n g t h s , T,, measured
a t l a r g e a x i a l s t r a i n s were generally 70 t o 90 p e r
c e n t of t h e vane s t r e n g t h s . The maximum unconfined
(UU) s t r e n g t h s measured on undisturbed s o i l samples from below a depth o f 8 m were c o n s i s t e n t l y lower t h a t t h e f i e l d vane s t r e n g t h s .
DISCUSSION
The bearing capacity o f a s o i l r e q u i r e d t o support a s t r u c t u r e (Figure 4a) i s r e l a t e d t o the shearing r e s i s t a n c e t h a t can be mobilized along a c r i t i c a l s h e a r p l a n e . The shearing r e s i s t a n c e must equal t h e sum o f t h e a p p l i e d s h e a r s t r e s s e s , which vary with
d i r e c t i o n along t h e c i r c l e o f shear. Beneath the
s t r u c t u r e t h e a p p l i e d s t r e s s e s a r e i n compression, and a t t h e o t h e r end o f t h e c r i t i c a l c i r c l e they a r e
i n extension. Thus the peak shear s t r e n g t h o f the
s o i l , T ~ ,along t h e k r i t i c a l plane may vary a s shown
on Figure 4b.
To mobilize shearing r e s i s t a n c e , a s h e a r s t r a i n (which
i s a function of applied s t r e s s ) i s required. Applied
s t r e s s e s a r e maximum beneath the s t r u c t u r e , s h e a r s t r a i n s a r e t h e r e f o r e a l s o g r e a t e r . A s t h e a p p l i e d
Figure 4 Shearing Resistance Mobilized Along C r i t i c a l
Shear Plane a t Various Factors of S a f e t y f o r Bearing Capacity
l o a d s i n c r e a s e , t h e s t r a i n s p r o g r e s s non-uniformly a l o n g t h e c r i t i c a l p l a n e , s o t h a t when t h e f a c t o r o f
s a f e t y a g a i n s t a b e a r i n g c a p a c i t y f a i l u r e i s
>
3, t h em o b i l i z e d s h e a r i n g r e s i s t a n c e a l o n g t h e p l a n e may b e r e p r e s e n t e d by c u r v e 1 ( F i g u r e 4 b ) ; when 1 < FS < 3, by c u r v e 2; and when FS 4 1 , by curve 3. Because o f t h e p r o g r e s s i v e development o f t h e s t r a i n s t h a t must t a k e p l a c e , i t i s i m p o s s i b l e t o m o b i l i z e .rf s i m u l - t a n e o u s l y a l o n g t h e whole c r i t i c a l p l a n e . The minimum s h e a r i n g r e s i s t a n c e t h a t c a n b e m o b i l i z e d i s t h e p o s t - p e a k " r e s i d u a l " s h e a r s t r e n g t h ,
-rr.
Hence, t h e u l t i m a t e b e a r i n g c a p a c i t y o f t h e s o i l must b e r e l a t e d t o some "average" s h e a r s t r e n g t h t h a t i s l e s s than -rf and g r e a t e r t h a n rr.When a vane i s i n s e r t e d i n t h e ground i t d i s p l a c e s
some o f t h e s o i l . I n s o d o i n g i t d e v e l o p s s h e a r s t r a i n s t h a t d i s t u r b t h e s o i l and a f f e c t i t s s t r e n g t h (Law e t a l * ) . Furthermore, a t t h e s t a r t o f t h e t e s t when a t o r q u e i s f i r s t a p p l i e d , t h e s h e a r s t r e s s e s a r e g r e a t e s t j u s t ahead o f t h e b l a d e s and z e r o i m m e d i a t e l y b e h i n d them. The s h e a r s t r a i n s , t h e r e - f o r e , a r e n o t uniform around t h e c y l i n d r i c a l s h e a r i n g s u r f a c e . As t h e vane i s r o t a t e d f u r t h e r , s h e a r s t r a i n s and, h e n c e , s h e a r i n g r e s i s t a n c e i s m o b i l i z e d p r o g r e s s i v e l y ; p a r t o f t h e s o i l may b e a t p o s t - p e a k , peak and p r e - p e a k s h e a r s t r e s s e s . The maximum s h e a r s t r e n g t h t h a t c a n t h e r e f o r e b e measured by t h e vane i s some " i n t e r m e d i a t e " v a l u e between t h e peak and
p o s t - p e a k s t r e n g t h s . These " i n t e r m e d i a t e 1 ' s h e a r s t r e n g t h s , u s e d w i t h Skempton's (1951) b e a r i n g c a p a c i t y e q u a t i o n , c o r r e l a t e d w e l l w i t h t h e o b s e r v e d u l t i m a t e b e a r i n g c a p a c i t y f o r t h e f a i l e d s i l o s . T r i a x i a l s t r e n g t h t e s t s on b o t h varved c l a y s and d e s i c c a t e d c l a y s gave s o i l s t r e n g t h s s m a l l e r t h a n
t h o s e measured i n s i t u w i t h t h e vane. The s t r e s s -
s t r a i n c u r v e s had no s h a r p p e a k , p r o b a b l y b e c a u s e t h e
s o i l s were d i s t u r b e d d u r i n g sampling. The s t r e n g t h s
d e t e r m i n e d from t h e s b t e s t s a p p e a r t o b e i n d i c a t i v e o f t h e r e s i d u a l v a l u e s .
The peak s t r e n g t h s o f t h e s o i l s below t h e d e s i c c a t e d c r u s t , d e t e r m i n e d from CIU and CAU t e s t s , w e r e h i g h e r
t h a n t h e i n s i t u vane t e s t s t r e n g t h s . These s t r e n g t h s , however, would n o t n o r m a l l y c o r r e l a t e w i t h t h e u l t i m a t e b e a r i n g c a p a c i t y o f t h e s o i l a t f a i l u r e b e c a u s e t h e y c a n n e v e r b e s i m u l t a n e o u s l y m o b i l i z e d a l o n g t h e c r i t i c a l s h e a r i n g s u r f a c e . I f peak s t r e n g t h s a r e t o b e u s e d f o r d e s i g n p u r p o s e s , t h e b e a r i n g c a p a c i t y t h e o r i e s s h o u l d b e r e f i n e d t o
accommodate them. The maximum u n c o n f i n e d t e s t
s t r e n g t h s were c o n s i d e r a b l y lower t h a n i n s i t u v a l u e s and h e n c e p r o v i d e v e r y c o n s e r v a t i v e e s t i m a t e s o f u l t i m a t e b e a r i n g c a p a c i t y o f t h e s e c l a y s o i l s . CONCLUSIONS A n a l y s i s o f t h r e e b e a r i n g c a p a c i t y f a i l u r e s on d i f f e r e n t c l a y s o i l s h a s l e d t o t h e f o l l o w i n g c o n c l u s i o n s : 1. The u l t i m a t e b e a r i n g c a p a c i t y o f t h e c l a y s o i l s a g r e e d w i t h t h e c a l c u l a t e d v a l u e b a s e d on "average" s t r e n g t h a s measured i n s i t u w i t h t h e NGI f i e l d v a n e . 2. The f i e l d vane does n o t measure t h e peak s t r e n g t h b u t r a t h e r some i n t e r m e d i a t e v a l u e between t h e peak
*
Measured S t r e n g t h s under F i l l s on S e n s i t i v e Clay.9 t h I n t e r n a t i o n a l Conference o n S o i l Mechanics and Foundation E n g i n e e r i n g . Tokyo, J a p a n , 11-15 J u l y 1977 and p o s t - p e a k s t r e n g t h o f t h e s o i l . 3 . Peak s t r e n g t h c a n n o t b e u s e d t o p r e d i c t u l t i m a t e b e a r i n g c a p a c i t y w i t h e x i s t i n g t h e o r i e s b e c a u s e i t c a n n o t b e s i m u l t a n e o u s l y m o b i l i z e d a l o n g t h e e n t i r e c r i t i c a l s h e a r i n g s u r f a c e . 4 . The u n c o n f i n e d s t r e n g t h t e s t c o n s i s t e n t l y under- e s t i m a t e d i n s i t u s h e a r s t r e n g t h o f t h e s o i l . These m e a s u r e t e n t s would p r o v i d e v e r y c o n s e r v a t i v e e s t i m a t e s o f t h e u l t i m a t e b e a r i n g c a p a c i t y . 5 . B e a r i n g c a p a c i t y i s r e l a t e d t o some average s t r e n g t h t h a t i s l e s s t h a n t h e peak and g r e a t e r t h a n t h e r e s i d u a l v a l u e . ACKNOWLEDGEMENTS Many c o l l e a g u e s i n t h e G e o t e c h n i c a l S e c t i o n , DBR/NRC, were i n v o l v e d i n t h e s a m p l i n g and a n a l y s i s o f t h e b e a r i n g c a p a c i t y f a i l u r e s , and t h e i r a s s i s t a n c e i s g r a t e f u l 1 y acknowledged. T h i s p a p e r i s a c o n t r i b u t i o n from t h e Division. o f
B u i l d i n g Research, N a t i o n a l Research Council o f Canada, and i s p u b l i s h e d w i t h t h e a p p r o v a l o f t h e D i r e c t o r o f t h e D i v i s i o n .
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