Ejercicios Examen Final Fundaciones I

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Datos: f´c 210 a1 0.45 D2 fy 4200 b1 0.45 L2 rec 7.5 a2 0.45 Luz q adm 2.4 b2 0.45 Luz total C izq 0.225 D1 70 Luz tot / 3 C der 0.225 L1 20 P1 = D1+L1 P1 = 90 tn P2 = D2+L2 P2 = 120 tn Dimensionamiento en Planta: R = P1 + P2 R = 210 tn Ru = 1,2(D1+D2) +1,6(L1+L2) 272 tn X= 3.65 3 = X -L/3 1.50 m X4 = L/3 - X 0.65 m P4 = 146.86 tn P3 = 63.14 tn B= 2P3/qadm B= 0.81575626 m b= 2P4/qadm b= 1.89742203 m AREA A = (B+b)/2*L A = 8.75 m2 qadm = Ru/A qadm = 3.10857143 > 2.4 Dimensionamiento en Elevacion: Vcu=1,06sqr(fc) Vcu = 15.3608594 kg/cm2 Vc= Pu/0,75*bo*d bo=2(a+d/2)+(b+d) bo= 1.35 +2d d min= 44.8216428409391 cm hmin = 52.3216428409391 cm Analisis estructural: qu= Ru/(b+B/2)L qu= 31.0857143 tn/m2 qux1=qu*b qux1= 58.9827191 tn/m2 qux2=qu*B qux2= 25.3583662 tn/m2 VIGA G HP50G V max (x) Mmax W1 = 114.31 3.352 X = 2.1647 m V1 = 25.588 tn =0 1 1+ 2 2= 3=0 4( 3+ 4)= 3 4=0 3( 4+ 3)= 4

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Ejercicios Examen Fundaciones I

Transcript of Ejercicios Examen Final Fundaciones I

Page 1: Ejercicios Examen Final Fundaciones I

Datos: f´c 210 a1 0.45 D2 90fy 4200 b1 0.45 L2 30

rec 7.5 a2 0.45 Luz 6q adm 2.4 b2 0.45 Luz total 6.45C izq 0.225 D1 70 Luz tot / 3 2.15C der 0.225 L1 20

P1 = D1+L1 P1 = 90 tnP2 = D2+L2 P2 = 120 tn

Dimensionamiento en Planta: R = P1 + P2 R = 210 tn

Ru = 1,2(D1+D2) +1,6(L1+L2) 272 tn

X= 3.65 X3 = X -L/3 1.50 mX4 = L/3 - X3 0.65 m

P4 = 146.86 tn

P3 = 63.14 tn

B= 2P3/qadm B= 0.81575626 mb= 2P4/qadm b= 1.89742203 m

AREAA = (B+b)/2*L A = 8.75 m2qadm = Ru/A qadm = 3.10857143 > 2.4 OK!!!

Dimensionamiento en Elevacion: Vcu=1,06sqr(fc) Vcu = 15.3608594 kg/cm2

Vc= Pu/0,75*bo*d bo=2(a+d/2)+(b+d) bo= 1.35 +2dd min= 44.8216428409391 cmhmin = 52.3216428409391 cm

Analisis estructural: qu= Ru/(b+B/2)L qu= 31.0857143 tn/m2

qux1=qu*b qux1= 58.9827191 tn/m2qux2=qu*B qux2= 25.3583662 tn/m2

VIGA G HP50G V max (x) MmaxW1 = 114.31 3.352X = 2.1647 m

V1 = 25.588 tn

∑▒𝑀𝑎=0 𝑃1∗𝑋1+𝑃2∗𝑋2=𝑅∗𝑋∑▒𝑀3=0 𝑃4∗(𝑋3+𝑋4)=𝑅∗𝑋3∑▒𝑀4=0 𝑃3∗(𝑋4+𝑋3)=𝑅∗𝑋4

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Pu1 = 1,2D1+1,6L 116 21.00688811 0.44821643

-114.31 25.3583662 12.67918312.16473776 5.21307797

25.587794

Page 3: Ejercicios Examen Final Fundaciones I

Datos: f´c 210 a1 0.5 D2 50fy 4200 b1 0.5 L2 20

rec 5 a2 0.4 Luz 6q adm 1.8 b2 0.4 Luz total 6.45C izq 0.25 D1 80 Luz tot / 3 2.15C der 0.2 L1 40

P1 = D1+L1 P1 = 120 tnP2 = D2+L2 P2 = 70 tn

Dimensionamiento en Planta: R = P1 + P2 R = 190 tn

Ru = 1,2(D1+D2) +1,6(L1+L2) 252 tn

X= 2.46 (x) P3 (x) P4 m0.31 1.84 m

P4 = 27.44 tn

P3 = 162.56 tnAREA DISEÑO

qadm=R/A Adis= 10.5556 m2 Bmayorb= b2+0,2 b= 0.7 m 0.5

l1 = (2Ax-bLt^2)/(A-b*Lt) l2=Lt-l1l1 = 3.7782 l2= 2.6718

B=(A-b1*l2)/l1 B= 2.2988AREA REQUERIDA

A = l1*B+l2*b A = 10.5556 m2A dis > A req OKqu= Ru/A qu= 2.3874qu > qadm OK

Dimensionamiento en Elevacion: PUNZONAMIENTO

Vcu=1,06sqr(fc) Vcu = 15.3609 kg/cm2Vc= Pu1/0,75*bo*d bo=2(a+d/2)+(b+d) bo= 1.5 +2d Pu1 = 1,2D1+1,6L

d min= 53.8800 cmhmin = 58.8800 cm

∑▒𝑀𝑜=0 𝑃1∗𝑋1+𝑃2∗𝑋2=𝑅∗𝑋∑▒𝑀3=0 𝑃4∗(𝑋3+𝑋4)=𝑅∗𝑋3∑▒𝑀4=0 𝑃3∗(𝑋4+𝑋3)=𝑅∗𝑋4

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Pu1 = 1,2D1+1,6L 160 21.38881119 0.53880008

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Datos: f´c 210 a1 0.4 D2 45fy 5000 b1 0.4 L2 15

rec 5 a2 0.4 Luz 6q adm 1.5 b2 0.4 Luz total 6.4C izq 0.2 D1 55 Luz tot / 3 2.13C der 0.2 L1 20

P1 = D1+L1 P1 = 75 tnP2 = D2+L2 P2 = 60 tn

Dimensionamiento en Planta: R = P1 + P2 R = 135 tn

Ru = 1,2(D1+D2) +1,6(L1+L2) 176 tn

X= 2.87 (x) P3 (x) P4 m0.73 1.40 m

P4 = 46.41 tn

P3 = 88.59 tnAREA DISEÑO

qadm=R/A Adis= 9.0000 m2b= b2+0,2 b= 0.6 m

l1 = (2Ax-bLt^2)/(A-b*Lt) l2=Lt-l1l1 = 5.2372 l2= 1.1628

B=(A-b1*l2)/l1 B= 1.5853AREA REQUERIDA

A = l1*B+l2*b A = 9.0000 m2A dis > A req OKqu= Ru/A qu= 1.9556qu > qadm OK

Dimensionamiento en Elevacion: PUNZONAMIENTO

Vcu=1,06sqr(fc) Vcu = 15.3609 kg/cm2Vc= Pu1/0,75*bo*d bo=2(a+d/2)+(b+d) bo= 1.2 +2d

d min= 41.7860 cmhmin = 46.7860 cm

∑▒𝑀𝑜=0 𝑃1∗𝑋1+𝑃2∗𝑋2=𝑅∗𝑋∑▒𝑀3=0 𝑃4∗(𝑋3+𝑋4)=𝑅∗𝑋3∑▒𝑀4=0 𝑃3∗(𝑋4+𝑋3)=𝑅∗𝑋4

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Pu1 = 1,2D1+1,6L 98 20.85064685 0.41786031