42. T.Chhay NPIC
edayeKarBtam ACI Code, Section 10.3 dUcEdl)anBnül;enAkñúgCMBUk 3. em
controlled section
KuNkat;bnßyersIusþg; φ RtUv)aneGayenAkñúgCMBUkTI 3 edayQrelI ACI Code, Section 9.3.
x> muxkat;ctuekaN Rectangular Sections
eKGackMNt; Nominal moment capacity rbs;muxkat;ctuekaNdUcxageRkam ¬eyagtamrUb
TI 19>7¦³
⎛ a⎞ ⎛ a⎞
M n = C⎜ d − ⎟ = T ⎜ d − ⎟ (19.34)
⎝ 2⎠ ⎝ 2⎠
Edl T = Aps f s nig C = 0.85 f 'c ab . sMrab; C = T
Aps f ps ρ p f ps
a= = d (19.35|
0.85 f 'c b 0.85 f 'c
EdlpleFobEdkeRbkugRtaMgKW ρ p = Aps / bd ehIy Aps nig f ps CaRkLaépÞ nigkugRtaMgTajrbs;
EdkeRbkugRtaMg. yk
⎛ f ps ⎞
ωp = ρp⎜
⎜ ⎟ ≤ 0.32 β1
⎟
⎝ f 'c ⎠
ωp
bnÞab;mk a=
0.85
d (19.36)
tMél ω p CakMlaMgenAkñúg tendon EdlRtUv)anvas;edaypÞal;. edIm,IFananUv tesion-controlled
behavior, ACI Code, Section 18.8.1 kMNt;fa ω p minRtUvFMCag 0.32β1 EdkRtUvKñanwg net tensile
strain ε t = 0.005 . cMNaMfa β1 = 0.85 sMrab; f 'c ≤ 28MPa nwgkat;bnßyeday 0.05 sMrab;ral;
7 MPa sMrab; 28MPa < f 'c < 56MPa ehIyesμInwg 0.65 sMrab; f 'c > 56MPa . eKk¾Gacsresr
⎛ a⎞
M n = Aps f ps ⎜ d − ⎟
⎝ 2⎠
⎛ ρ p f ps ⎞
⎜ 1 .7 f ' ⎟
M n = A ps f ps d ⎜1 − ⎟ (19.37)
⎝ c ⎠
⎛ ωp ⎞
⎜ 1 .7 ⎟
M n = A ps f ps d ⎜1 − ⎟ (19.38)
⎝ ⎠
nig M u = φM n
enAkúñgsmIkarBImun f ps CakugRtaMgenAkñúgEdkeRbkugRtaMgenAeBl)ak;. eKminGackMNt;tMél
Cak;Esþgrbs; f ps edaygayRsYleT. dUcenH ACI Code, Section 18.7.2 GnuBaØateGay)a:n;RbmaN
tMél f ps dUcxageRkam.
esckþIENnaMBIebtugeRbkugRtaMg 601
43. T.Chhay NPIC
sMrab; bonded tendons
⎡ γp ⎛ f ⎞⎤
f ps = f pu ⎢1 − ⎜ ρ p × pu ⎟⎥
⎜ (19.39)
⎢ β1
⎣ ⎝ f 'c ⎟ ⎥
⎠⎦
sMrab; unbonded tendon enAkñúgGgát;EdlmanpleFobElVgelIkMBs;tUcCag b¤esμI 35
⎛ f 'c ⎞
f ps = ⎜ f se + 69 + ⎟ ≤ f py (19.40)
⎜ 100 ρ p ⎟
⎝ ⎠
RbsinebI f se ≥ 0.5 f pu nigRbsinebI f ps sMrab; unbonded tendon minFMCag f py b¤ f se + 415MPa .
sMrab; unbonded tendon enAkñúgGgát;EdlmanpleFobElVgelIkMBs;FMCag 35
⎛ f 'c ⎞
f ps = ⎜ f se + 69 + ⎟ (19.41)
⎜ 300 ρ p ⎟
⎝ ⎠
b:uEnþminRtUvFMCag f py b¤ f se + 207MPa Edl
γ p = emKuNsMrab;RbePTrbs; tendon eRbkugRtaMg
= 0.55 sMrab; f py / f pu EdlmintUcCag 0.8
= 0.4 sMrab; f py / f pu EdlmintUcCag 0.85
= 0.28 sMrab; f py / f pu EdlmintUcCag 0.9
f pu = ersIusþg;TajEdlkMNt;rbs;EdkeRbkugRtaMg
f se = kugRtaMgRbsiT§PaBenAkñúgEdkeRbkugRtaMgeRkayeBlkMhatbg;TaMgGs;
f py = specified yield strength rbs;EdkeRbkugRtaMg
enAkñúgkrNIEdl ω p > 0.32β1 FñwmebtugeRbkugRtaMgCa compression-controlled section.
edIm,IFananUv ductile failure eKkMNt; ω p RtwmtMélGtibrma 0.32β1 . sMrab; ω = 0.32β1 nig
a = 0.377 β1d eyIgTTYl)an
⎛ 0.32 β1 ⎞
M n = Aps f ps d ⎜1 − ⎟
⎝ 1.7 ⎠
( )
= ρ p bd f ps d (1 − 0.188β1 )
= ω p f 'c (1 − 0.188β1 )bd 2
( )
= 0.32β1 − 0.06β12 f 'c bd 2 (19.42)
sMrab; f 'c = 35MPa / β = 0.8 . enaH
1
M n = 0.22 f 'c bd 2 = 1.09bd 2
dUcKña/ sMrab; /
f 'c = 28MPa M n = 0.915bd 2 nigsMrab; /
f 'c = 42 MPa M n = 1.238bd 2
esckþIENnaMBIebtugeRbkugRtaMg 602