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+) A,,ro-imate Method of getting Equivalent fcu eq. Eeq/
or the shon |C olmn strengtheneq ith |C xaet, igre 1w anq noing that the
euisting olmn}s f~ 1 Pa
anq for the |C xaets f~ Pa,
rom En. 1 aw, f e is given as follos
f e ~ 1 . .w . .1w .1 .1w Q . .w~ 1. Pa 1 aw
e sggest another simple En. as follos
f e.~..
w....v1..
+
~ 1. Pa 1 w
rom En. 1 aw
Ee~ 11 cueqf ~ 11 .1 ~ 1 w
e sggest the folloing to Ens. for getting Ee.
rom f ~ 1 Pa
1111
.1= eqE
~ 1 qw
rom f ~ Pa
Ee~ 11
.1
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~ 1 ew
he ratio of the Eegiven y En. 1 ew to that given y 1 w is .1, so e an se also
En. 1 ew.
0) Strength of Materials 1rinci,les
e an get the eivalent Eeas follos
he strain in the |C aeteq olmn is eal to that of the euisting olmn anq |C aet.
Aorqing to |ef. w, see ig. w, e get
existAexistEexist
P
tAeqEtP =
existA
existE
tP
jacketA
jacketEexistAexistE
existAexistP
tAeqE
tP
+
=
jacketA
jacketEexistAexistE
tP
tAeqE
tP
+
=
tA
eqE
~ jacketA
jacket
E
exist
A
exist
E +
eqE ~tA
jacketA
jacketEexistAexistE +
w
or the previos euample
..
.11..111
+
+=eqE
pa1=
his eals to Pa for all pratial prposes.
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Also, the eivalent shear moqls e, an e given as
tA
jacketA
jacketGexistAexistG
eqG+
= w
t has to e noteq that in |ef.w a orretion oeffiient has to e introqeq sh that
.dmonol
R
drepR
Anq .monol
K
repK w
n or euample
|atio ~ .1
111= w
2) Conclusion/
A more rigoros anq pratial qerivation of the eivalent f eanq elasti moqlie of |C
olmn strengtheneq ith |C aet has een qone anq ompareq ith a ite gooq rogh
tehnie anq it is fonq that it qoes give an arate preqition of the vales of f e., Ee
anq e.
3) References/
1- Evalation qe Performane Para ismies qes Porties en A |enfores par
Chemisage en etonarme et par anqage en C |P, emoire qe agistere
Constantine, 1.
- P.. imosheno, ehanis of aterials, nqEq.
- amiqreza asersaeeq, Evalation of ehavior anq eismi |etrofitting of |C
trtres y Conrete xaet, Asian xn. of Applieq ienes w 11-, 11.