Z.AisladaDISEO DE UNA ZAPATA AISLADADisear la zapata mostrada en
la fig: Si la Columna de 70 x 50 lleva 10 fierros de 1" y
transmitelas cargas PD = 180 tn y PL = 100 tn . La capacidad
portante admisible del suelo es qa = 2.5 kg/cm2; ademas fy =
4200kg/cm2 , fy = 280 kg/cm2 en la columna y fc = 210 kg/cm2 en la
zapataDATOS:ZapataOtrosSuelof ' c =230kg/cmS/C =550kg/mDf
=1.4mColumnaPD =180Tng 2 =1700kg/mf ' c =280kg/cmPL =100Tnqa
=2.50kg/cmb =50cmdb =2.54cmt =70cmAceroLv =150cmf y
=4200kg/cmMD,ML1.- DIMENSIONAMIENTO DE LA ZAPATAPD, PLClculo del
peralte de la zapata (hc )Ld =56.27cmhtTomarLd =56.27cmDfLv(Del
problema se emplean varillas de 1")b ( 1") =2.54cmr.e.
=7.50cm(recubrimiento)hchc =66.31cmTomarhc =70.00cmhc = Ld + r.e +
bTht = Df - hcht =70.00cmClculo de la presin neta del suelo ( qm
)Bqm =2.16kg/cmTClculo del rea de la zapata ( Az )Azap
=129,629.63cmDonde:T =370.00cmP =Carga de servicioB =350.00cmLv
=Volados iguales sinexcentricidad2.- DETERMINACIN DE LA REACCIN
AMPLIFICADA ( qmu )Donde:3.26kg/cm2Pu =Carga Ultima3.- VERIFICACION
POR CORTE ( = 0.85 )Por Flexin:Lv =150.00cmr.e =7.50cmb ( 3/4")
=1.91cm(Suponiendo varillas 3/4")d =60.59cm( d = hc - b - r.e. )Vdu
=101,975.73kg =0.85(Coef. De reduccion por corte)Vc =170,454.62kgVc
=144,886.43kgVc >VduOK!Por Punzonamiento:Vu =374,938.21kgbo = 2
x ( t + d ) + 2 x ( b + d )=2m +2nbo =482.36(perimetro de los
planos de falla)Vc = 0.27 * 2 + 4 * f 'c^.5 * bo * d = 1.06 * f
'c^.5 * bo * db cVc =581,273.87kgVc=469,831.38KgVc
=494,082.79kgVc=399,356.68KgVc >VduOK!b c = lado mayor columna (
t )1.4lado menor columna ( b )m = t + dm =130.59n = t + bn
=110.59bo = 2*m + 2*nVu = 1.1 x f'c x bo x dVu = vc OK !Vu
=469,831.38vc =399,356.674.- CALCULO DEL REFUERZO LONGITUDINAL ( =
0.90 )Direccin Mayor:Lv =150.00cmree =7.50Mu =12,831,081.08kg-cmb (
3/4") =1.91B =350.00d =60.59a =3.89(Valor Asumido)As =57.88Ab (
3/4" ) =2.85As mn = 0.0018 * B * da =3.55# Varilla ( n ) =20As >
As mn OK !!Espaciam =17.53As =57.7120 3/4" @17.53Ab# Varilla ( n )
= AsAb ( 3/4" ) =2.85Ab# Varilla ( n ) =15Espaciam = B - 2*r.e -
bEspaciam =23.79n -1As mn =44.115 3/4" @23.79As>As mnOK
!!Direccin Menor:As tranv = As * TBT =370ree =7.50As mn = 0.0018 *
B * dB =350b ( 3/4") =1.91As > As mn OK !!d =60.59a =5.01(Valor
Asumido)AbAb ( 3/4" ) =2.85# Varilla ( n ) = As# Varilla ( n )
=21AbEspaciam =17.65As transv =61.0121 3/4" @17.65Espaciam = B -
2*r.e - bn -1Ab ( 3/4" ) =2.85# Varilla ( n ) =16Espaciam
=23.54Asmin =46.6216 3/4" @23.54As transv>As mnOK !!Longitud de
desarrollo en Traccion ( Ld )ld = b * fy * a * b * g * l<
Lv13.54 * f 'c^.5 * C + KrbLv1 = Lv - r.e.eLa Zapata es rectangular
se debe compartir el Refuerzo adecuadamente de la siguiente
manera:Asc = 2 * Astrv( b + 1 )b =1.00b (3/4") =1.91C =8.50g
=0.80r.e.e =7.50ktr =0b = Lado mayor Zapatal =1.00fy =4200Lado
menor Zapataa =1.00f'c =2302.5q = ( C+kt r )/ bAb# Varilla ( n ) =
AsLongitud de desarrollo en traccinq=10.41AbEspaciam = B - 2*r.e.e
- bLv1 =142.50q >= 2.5 ,PONER 2.5 !!n -1Ld =47.82q < 2.5
,PONER q !!Ld < Lv1OK !!Espaciamiento del RefuerzoAsc =61.0145
cm17.65OK !!3 x h210cm5.- VERIFICACION DE LA CONEXIN COLUMNA -
ZAPATA ( = 0.70 )Para la seccin A colum = 70*50 = 3500 cm ( COLUMNA
) * 0.85 * f 'c * As1Pu =422000# Varilla ( n ) =6A colum = b *tA1
=3500Pu < ( * 0.85 * f 'c * A1) * 0.85 * f 'c * A1 =583100AbAs
mn = 0.005 * A1Pu < * 0.85 * f 'c * A1OK !!# Varilla = As1AbAs
mn =17.50As col. > As mn OK !!Ab ( 3/4" ) =2.85USAR :As1
=17.50As col > As minOK !!Para la seccin A zapata = 350*370 =
129500 cm ( ZAPATA )Pu < x 0.85 x f 'c x A2/A1 x A1Pu =422000A1
=3500A2/A1 =2A2 =129500 x 0.85 x f 'c x A2/A1 x A1 =957950OK !!
bttd/2d/2m = t+dn = b+dtbTBSReemplazo los valores que
tenemos:=1.4 x 180000 + 1.7 x 100000 350 x 370=bc
=cmkgkgcmcmcm2cm2cm2cm2cm2cm2cmcmcmcm2cm2cm2cm2cm2cm2cm2cm2cmcmcmcm2>kgkgcm2cm2cm2cm2kgkgcm2cm2
Z. CombinadaDISEO DE ZAPATA COMBINADADisear la zapata combinada
que soportara las columnas mostradas en la figura. La capacidad
portante del suelo esqa = 2 kg/cm2Considere fy = 4200 kg/cm2 y f'c
= 210 kg/cm2 para la cimentacion . F'c = 280 kg/cm2 en las
columnas.COL:SECCIONREF.PDPLC150509 3/4"2015PL1PL2C240509 3/4"4024b
x tAcerotntnS/C =500kg/mg mh t =101.00hc =54.004.55m1.40Df
=1.60mOtrosColumnaZapatag m =1800kg/m3S/C =500kg/mf ' c =210kg/cmf
' c =175kg/cmqa =2.00kg/cm2d(eje-eje)=4.3mf y =4200kg/cm1.-
DIMENSIONAMIENTO DE LA ZAPATA ( Az = S*T )Clculo del peralte de la
zapata (hc )ld = 0.08 * b * Fyb ( 3/4" ) =1.91cmraiz(f 'c)0.08 x b
x fy / f c =49cm.004*b*fy =32cmOK !!ld >= 0.004 * b * fyTomarld
=49cmLongitud de desarrollo en compresinhc = ld + r.e + br.e
=7.50cmhm = Df - hch c =59.00cmh t =101.00cmTomarht =101.00cmClculo
de la presin neta del suelo ( qm )qm = qa - gm*hm -c*hc - s/cqm
=1.63kg/cmClculo del rea de la zapata ( Az )Ps1 = P1D + P1LP1s
=35TnP2s =64TnPs2 = P2D + P2LRs = P1s + P2s20203030e Mo = 0Rs * Xo
= P1s* t1/2 + P2s * 455Xo = ??455.00170.00cmRs =99TnP1s =35TnLz /
2P2s =64Tne = Lz / 2 - XoRs =99TnLz / 6Xo =301.21cme < Lz/6q1,2
= Rs * 1 6 * eLz =625.00cmLzLzLz / 2 =312.50cme =11.29cmLz /
6=104.1666666667cmL = 2 x XoL =602cmB =101cmB =(P1s +P2s)tomamos B
=85cmqn x LComo S/C = 500 kg/cm, Verificamos las presiones del
suelo - ADICIONAL ( q 1,2 )Ps1 = P1D + 50%P1LPs2 = P2D + P2LP1s
=27.5TnP2s =64TnR1s = P1s + P2se Mo = 020203030R1s * Xo = P1s* t1/2
+ P2s * 455Xo = ??455.00170.00cme = Xo1 - XoP1s =27.5TnR1s
=91.5TnP2s =64Tnq = Ps + Mc = Ps + Ps x eR1s =91.5TnI = ( B x L^3
)/12Az IAz IXo1 =324.26cme =23.05cmI =1454767.91666667cm4q
=44.56kg/cm2AUMENTAMOS EL ANCHO Bq < qm cumple " OK "q > qm
no cumple "AUMENTAMOS EL ANCHO B"Aumentamos el Ancho hc =150cmUn
nuevo calculoPs =91500kgq =1.41OK !!e =23.05cmB =265cmI
=74531250Ps1 = P1D + P1LPs2 = P2D + 50%P2LP1s =35TnP2s =52TnR2s =
P1s + P2se Mo = 020203030R2s * Xo = P1s* t1/2 + P2s * 455Xo =
??470.001.40mLz / 2e2 = Lz / 2 - XoP1s =35TnR2s =87TnLz / 6P2s
=52Tne2 < Lz/6R2s =87Tnq1,2 = R2s * 1 6 * e2Xo =288.97cmI = ( B
x L^3 )/12Lz*BLzBe =12.24cmI =74531250cm4q > qm no cumple
"AUMENTAMOS EL ANCHO B"q =1.62kg/cm2OK !!q < qm cumple " OK "2.-
DISEO EN SENTIDO LONGITUDINALP1s =35TnP2s =64TnClculo de la presin
neta por unidad de longitud ( qm )qmqn = P1s +
P2s0.2m4.50m140.00mAzqn =6205.7293299066kg/m( No amplificada )Por
unidad de Longitudqm = qm1*BPor Unidad de LONGITUDqm
=6205.73kg/mV55311.978kg1241.15+1.6297m--8688.022kg-33758.85kg -
m-27385.1M-+124.12kg - m6081.62kg - mEncontramos el diagrama de
fuerzas cortantes verificamos el corte por Flexion:d = -ree +
hc1.50 x Vu =67050.27kgya que : F = ( 1.4 x D + 1.7 x L )/( D + L
)d =141.00cmVu = Vmax - qn x ( b2/2 + d ) =44700.1797kgF
=1.52Aporte del Concreto :Vc = 0.53 x f ' c x b x d =261975.02kgVu
< 0 x Vc Cumple !!0.85 x Vc =222678.767kgOK !!Aumentamos el
Peralte a h =150cm.d =h- reed =141cmVu = Vmax - qn x ( b2/2 + d )
=44700.1797kgAporte del Concreto :Vc = 0.53 x f ' c x b x d
=261975.02kgVu < 0 x Vc Cumple !!0.85 x Vc =222678.767kgVu <
O x Vc CUMPLE !!VERIFICACION POR CORTE ( = 0.85 )COLUMNA EXTERIOR
:COLUMNA INTERIOR :Vu = 1.50 x ( Pu - qnu x m x n )
=31075.8054911302kgVu = 1.50 x ( Pu - qnu x m x n ) =75697.49kgVu
=31075.8054911302kgVu =75697.49kgEl aporte del Concreto :b c =1El
aporte del Concreto :b c =1.25bo = ( b + ,5*d ) + 2x( t + d )
=422cmbo = ( b + 0,5*d ) + 2x( t + d ) =492.5cmVc = 0.27 x 2 + 4 x
f 'c x bo x dVc = 0.27 x 2 + 4 x f 'c x bo x db cb cVc
=1396870.75662586kgVc =1412869.67129495kgVc =1187340.14313198kgVc
=1200939.22060071kgVc = 1.10 x f 'c x bo x d =948492.48906694kgVc =
1.10 x f 'c x bo x d =1106949.17266699kgVc =948492.49kgVc
=1106949.17kgVc =806218.62kgVc =940906.79kgVu < VcCUMPLE !!Vu
< VcCUMPLE !!4.- CALCULO DEL REFUERZO EN EL TRAMO CENTRALX x qn
- P1 = 0X =P1X =5.64Mu =qn x X^2_P1 x XMu =-91699.11kg -
mqn2Calculo de As :Mu =91699.11kg - mAs = Mu / ( * fy * ( d - a/2
))B =265r .e .e =8db =1.91a = As * fy / ( 0.85 * f 'c * B )d =141a
=2.77(Valor Asumido)As =26.06Ab ( 3/4" ) =2.85As mn = 0.0018 * B *
da =2.78# Varilla ( n ) =9As > As mn OK !!Espaciam =31AbAs
=26.069 3/4" @31# Varilla ( n ) = AsAbAb ( 3/4" ) =2.85Espaciam = B
- 2*r.e - b# Varilla ( n ) =24n -1Espaciam =11As mn =67.2624 3/4"
@11As>As mnASUMIR As mn !!5.- CALCULO DEL REFUERZO POR DEBAJO DE
LA COLUMNA INTERIORMu =qn x ( L )^2Mu =6081.61kg - m2L
=1.91m1.4Calculo de As :Mu =6081.61kg - mAs = Mu / ( * fy * ( d -
a/2 ))B =265r .e .e =8db =1.91a = As * fy / ( 0.85 * f 'c * B )d
=141a =0.18(Valor Asumido)As =1.71Ab ( 3/4" ) =2.85As mn = 0.0018 *
B * da =0.18# Varilla ( n ) =1As > As mn OK !!Espaciam =0AbAs
=1.711 3/4" @0# Varilla ( n ) = AsAbAb ( 3/4" ) =2.85Espaciam = B -
2*r.e - b# Varilla ( n ) =25n -1Espaciam =10As mn =71.5525 3/4"
@10As>As mnASUMIR As mn !!Disear en sentido transversal a cada
columna le corresponde una porcion de
Zapatad/2d/2d/21.2051.91ZAPATA EXTERIORZAPATA INTERIORqn =Puqn
=1.68kg/cm2qn =Puqn =1.91kg/cm2AzAzMu =qnu x B x (L^2)Mu
=1169723.625Mu =qnu x B x (L^2)Mu =2308563.2812522B =120.5r .e .e
=8db =1.59B =191r .e .e =8db =1.59d =141d =141a =0.52(Valor
Asumido)a =0.64(Valor Asumido)As =2.20As =4.34a =0.52a =0.64As
=2.2Ab ( 3/4" ) =2.85As =4.34Ab ( 3/4" ) =2.85# Varilla ( n ) =11#
Varilla ( n ) =18Espaciam =10.00Espaciam =10.00As mn =32.5411 3/4"
@10As mn =51.5718 3/4" @106.- VERIFICACION DE LA CONEXIN ZAPATA -
COLUMNA( = 0.70 )Para la seccin A columna = 50*50 = 2500 cm (
COLUMNA ) * 0.85 * f 'c * As1Pu =53500A colum = b *tA1 =2500Pu <
( * 0.85 * f 'c * A1) * 0.85 * f 'c * A1 =312375As mn =12.50As mn =
0.005 * A1# Varilla = As1Pu < * 0.85 * f 'c * A1CUMPLE !!As col
> As minOK !!AbAs col. > As mn OK !!Para la seccin B columna
= 40*50 = 2000 cm ( COLUMNA ) * 0.85 * f 'c * As1Pu =96800A colum =
b *tA1 =2000Pu < ( * 0.85 * f 'c * A1) * 0.85 * f 'c * A1
=249900As mn =10.00As mn = 0.005 * A1# Varilla = As1Pu < * 0.85
* f 'c * A1CUMPLE !!As col > As minOK !!AbAs col. > As mn OK
!!Detalle de refuerzos en la Zapata Combinada verificamos primero
el espaciamiento maximoEspaciamiento del Refuerzo45 cm450OK !!3 x h
=450cmd/2d/2d/2Longitud de desarrollo en Traccion ( Ld )ld = b * fy
* a * b * g * l< Lv13.54 * f 'c^.5 * C + KrbLd =71Ld1 =46Lv1 =
Lv - r.e.eLa Zapata es rectangular se debe compartir el Refuerzo
adecuadamente de la siguiente manera:Asc = 2 * Astrvb (3/4") =1.91(
b + 1 )b =1.00b (5/8") =1.59C =6.502.5q = ( C+kt r )/ bb = Lado
mayor Zapatag =0.80r.e.e =7.50ktr =0q=8.41Lado menor Zapatal
=1.00fy =4200# Varilla ( n ) = Asa =1.30f'c =175q >= 2.5 ,PONER
2.5 !!Aba1 =1.00q < 2.5 ,PONER q !!Espaciam = B - 2*r.e.e -
bLongitud de desarrollo en traccinn -1Lv1 =132.50Ld < Lv1OK
!!Calculo del refuerzo minimo :Ld =71.26As mn =71.55Refuerzo
montaje en forma de GarridoAb ( 3/4" ) =2.85 3/8" para refuerzo
principal =< 3/4"# Varilla ( n ) =25 1/2" para refuerzo
principal > 3/4"Espaciam =10.00con espaciamiento maximo de 45
cm.25 3/4" @100.2
Pgina &P de
&N12t1t2b1b20Xo++0Xo+0Xo-++-+XXkg/cm2cm4kgcm3kg-+Bcmcm2cm2cmcm2cmcm2cm2cm2mmmcm2cmcmcmcmcm2cmcm2cm2cmcm2cm2cm2cm2cm2cm2cmcmcmcmcm2cmcm2cm2cmcm2cmcm2cm2cm2cm2cmcmcmcm2cmcm2cmcm2cmcm2cmcmcm2cm2cm2kgkgcm2cm2cm2kgkgcm2cm2cmcm>cmcm2cmcmcm211
3/4"@ 10cm14 5/8"@ 22cm25 3/4"@ 10cm24 3/4"@ 11cm18 3/4"@
10cmElaborado por :MARCO ANTONIOPINEDO RUIZ
Z.ConectadaDISEO DE ZAPATA CONECTADADisear la zapata conectada
que soportara las columnas mostradas en la figura . La capacidad
portanteadmisible del suelo es qa = 2.0 kg/cm2 . Considere Fy =
4200 kg/cm2 , f'c = 175 kg/cm2 para lacimentacionDATOS:ZapataAcerof
' c =175kg/cmf y =4200kg/cmS/C =500kg/mColumnaSuelof ' c
=210kg/cmDf =1.60mLc =550cmb1 =50cmg m =1800kg/mdb =1.91cmt1 =50cmg
c =2400kg/mb2 =40cmqa =2.00kg/cmt2 =50cmdb
=1.91cmCOLSECCIONREFUERZOPD (tn)PL (tn)150509 3/4"5030240509
3/4"40241.- DIMENSIONAMIENTO DE LA ZAPATA Y VIGA DE
CIMENTACIONZAPATA EXTERIOR:48.5124960397cmhc = Ld + r.ee + bLd
=49hm = Df - hcld >= 0.004 * b * fy32.09cmLd =32Clculo del
peralte de la zapata (hc )hc =59ht =101Clculo de la presin neta del
suelo ( qm )qn = qa - gm*hm - gc*hc - s/c1.63CALCULO DE P'2 :
Tanteo e =579249.499249.49Az =PsAz =P1 + P'
2=54868.4372310341cm2qnqnA = 2 x( b )^2 =54868.44b =166cmnuevo e =b
- te =58P'1 =94312 2P'2 =54980A = 2 x( b )^2 =54980b
=166b=165tomamost=2bt=330Tomamos b = 165 cm -----> A = 165 x 330
e = 57 cmZAPATA EXTERIOR:49hc = Ld + r.ee + bLd =49cmhm = Df - hcld
>= 0.004 * b * fy32cmLd =32Clculo del peralte de la zapata (hc
)hc =60ht =100Clculo de la presin neta del suelo ( qm )qn = qa -
gm*hm - gc*hc - s/c2.00CALCULO DE P'2 : Tanteo e =7194869486.00Az
=PsAz =P2 + P' 2=36743cm2qnqnA = ( b )^2 =36743.00b =192usamos b =
250 cm155cmnuevo e =b - te =71P'1 =94862 2P'2 =44743A = 2 x( b )^2
=44743b =150b =150A2 = ( 150 x 150 )VIGAS DE CIMENTACIONh
=Lc=55079SECCION775080b =P1b =4731 x LcDISEO DE LA VIGA DE
CONEXINWv = b x h x g c =9.6kg/mMu = P' 2 x L + Wv x ( L^2
)/2=7250000Mu =7250000kg-cmb ( 3/4") =1.91ree =7.50As = Mu / ( * fy
* ( d - a/2 ))B =50a = As x fy / ( 0.85 x f 'c x b )d =79.00As mn =
0.8 x (f ' c ^0.5) x B * d/ fya =5.00(Valor Asumido)As > As mn
OK !!As =25.07Ab ( 1" ) =2.54# Varilla ( n ) = Asa =14.16# Varilla
( n ) =11AbEspaciam =3Espaciam = B - 2*r.e - bAs =26.6711 1" @3n
-1As mn =9.9511 1" @3As > AsminOK !!VERIFICACION POR CORTEAPORTE
DEL CONCRETOVu = P' 2 + Wv x LVu =21982KGVc = 0.53 x (f ' c ^0.5) x
b x d =23540kgLVu < VcOK !!DISEO DE LA ZAPATA EXTERIORZAPATA
EXTERIORZAPATA INTERIORqn =Puqn =0.00kg/cm2qn =Pu0.00AzAzMu =qnu x
B x (L^2)Mu =0Mu =qnu x B x (L^2)022L =100r .e .e =8B =150r .e .e
=7.5B =250d =41db =1.59d =51a =5.00(Valor Asumido)a =5( Valor
Asumido )As =0.00As =0a =0a =0As =0Ab ( 5/8" ) =1.98As =0# Varilla
( n ) =0#Varilla n =14Espaciam =0Espaciam. =17.88As mn =13.5Asmin
=270 5/8" @014 5/8" @186.- VERIFICACION DE LA CONEXIN ZAPATA -
COLUMNA( = 0.70 )Columna ExteriorPara la seccin A columna = 50 x 50
= 2500 cm ( COLUMNA ) * 0.85 * f 'c * As1Pu =121000# Varilla ( n )
=4A colum = b *tA1 =2500Pu < ( * 0.85 * f 'c * A1) * 0.85 * f 'c
* A1 =312375As mn = 0.005 * A1# Varilla = As1Pu < * 0.85 * f 'c
* A1OK !!AbAs col. > As mn OK !!As mn =12.50Ab ( 3/4" )
=2.85USAR :As1 =12.50Columna InteriorAs col > As minOK !!Para la
seccin B columna = 50 x 50 = 2500 cm ( COLUMNA )Pu =96800 * 0.85 *
f 'c * As1A1 =2000A colum = b *t * 0.85 * f 'c * A1 =249900#
Varilla ( n ) =4Pu < ( * 0.85 * f 'c * A1)Ab ( 3/4" ) =2.85As mn
= 0.005 * A1Pu < * 0.85 * f 'c * A1USAR :As1 =10.00# Varilla =
As1OK !!AbAs mn =10.00As col. > As mn OK !!As col > As minOK
!!Longitud de desarrollo en Traccion ( Ld )ld = b * fy * a * b * g
* l< Lv13.54 * f 'c^.5 * C + KrbLv1 = Lv - r.e.eLa Zapata es
rectangular se debe compartir el Refuerzo adecuadamente de la
siguiente manera:Asc = 2 * Astrv( b + 1 )b =1.00b (5/8") =1.59C
=8.50g =0.80r.e.e =7.50ktr =0b = Lado mayor Zapatal =1.00fy
=4200Lado menor Zapataa =1.00f'c =1752.5q = ( C+kt r )/ bAb#
Varilla ( n ) = AsLongitud de desarrollo en
traccinq=10.09AbEspaciam = B - 2*r.e.e - bLv1 =38.13q >= 2.5
,PONER 2.5 !!n -1Ld =45.63q < 2.5 ,PONER q !!Ld < Lv1AUMENTAR
EL T !!Espaciamiento del Refuerzo45 cmAs1 =OK !!3 x h0cmd/2d/2
Pgina &P de &N0Xo++0Xo+0Xo-++-+XLd0.08xdbxfy f 'c=Ld =
0.08x1,91x4200/(175^(1/2)) =Ld >= 0.004x1.91x4200 =cmcmcmqn =
2.4-(1800xE^-06)x(101)-(2400xE^06)x(59)-(500xE^04) =qn =cmhc = Ld +
10 =ht = Df - hc =kg/cm2( PD + PL ) x e Lc - eP'2 ==P1xe L=( 50 +
30 ) x 1000 x 57 550 - 57==X==kgcmP'2 =0++0+0+Ld0.08xdbxfy f 'c=Ld
= 0.08x1.91x4200/(175^(1/2)) =Ld >= 0.004x1.91x4200 =cmcmcmqn =
2.4-(1700xE^-06)x(120)-(2400xE-06)x(60)-(500xE-04) =qn =cmhc = Ld +
10 =ht = Df - hc =kg/cm2( PD + PL ) x e Lc - eP'2 ==P1xe L=( 40 +
24 ) x 1000 x 50 550 - 50===kgcmP'2 =cmcmh
=xcmcm2cm2cmcm2cm2cm2cm2cm2cmcmcm2cm2cmcm2cm2cm2cmcm2cm2cmcmcmcm2cm2cm2cmcm2cmcmcm2cm2kgcmkgkgcm2cm2cm2cm2cm2kgkgcm2cm2cm2cm2cmcm>12
5/8"@ 12cm14 5/8"@ 22cm6 1"@ 7cm14 5/8"@ 18cm0++0+0=
LOSA RIGIDADISEO DE LOSA DE
CIMENTACIONS/C=450gm1=1700KS0.9Y'ABCD0.2123EF4.5Y9.8456XGH4.5789IL0.6OJKX'0.25.45.40.611.6DATOSCOLUMNAPD
(ton)PL (ton)PuF'c =210kg/cm21452570Fy
=4200kg/cm22603090gc=2400kg/m33603090qa =1.4kg/cm24603090Ks
=1kg/cm3510040140S/C=450Kg/m267030100gm1=1700kg/m376030908703010096030905852758601.-
CALCULO DEL ESPESOR DE LA PLACAMETODO DE DISEOASUMIENDOt=50cm.l=
43KsE=15000*F'cEt3l=0.003242m-1l=0.003240m-11.755.401Lc=5.4lLc=4.5Se
debe cumplir la siguiente condicin:1.75/l