Pressure ine (or) brust ine tor) Internas Resisting Couple
Jhe combined eect pre-stressing torce and
applied bkod is reselvecl as a Single force.
ex ternatly
he lecus ef paint apblication e this resutant
fore in a
Sttuctute is Fressure line or
brust ine ".
N A
e
Beam with a-eccentric tendon
Consider a beam o leng-th 'L'
provided witho terdon at an
etentnicit 'e'.
H the beam is not subjected to
any exicrnal load,there are
e equal forces aching en the beam.
N
A P-Line4
G-ine
2) Pand C' force acting on the beam
P and 'c* line Coircides when there is no external
P- force uohich is tensionecd in tendon and
force)
in Cencrete
c-force which is ComPression
N
A
P P
P -force acting on lendon
N A
C
-lorce acting on Concrete
he ine of action of 'C' force is caled 'C' line.
he une of atfion o P " force is CaledP Ane.
, M
Shift o c ' ine from P Line when enternal load is
applied.
there is no exBernal toad, "P° ine and C' line will
Coincide.
wlhen erternal force acs, the C' Line shifts
trom 'P'line
by a distanee o a', Callecd Aever orm.
where,
a Lever (shift o"c' Libe ftom P" line)
arm
e'shift o presure line meas ured frem
Centroidal axis.
M mement Ca Ta P'a =
1f M 8.M at Setion due to D.L L'L
e Eccentrieity sB the tendon
T P Pre-stressing foree in tedon
C Compressive force achng on Concrete
Moment muilibrium yields the
relahioD,
M - Ca =
Ta =
Pa
Lever arm distance, la =
Shift et Pressure une, e' =
a-e
f e' is positfve, then C-ine ies above the N/A
J 'e' is neg9ative, then C- Line les belou the N/A
h e bensling streas e is the tombined bending stress
2
ue te TENDON, DEAD LoAD 4 LIvE LoAD.
R-9 in Conercte = (P/A) = t Pxe