Ejercicios Examen Final Fundaciones I
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Transcript of 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
Pu1 = 1,2D1+1,6L 116 21.00688811 0.44821643
-114.31 25.3583662 12.67918312.16473776 5.21307797
25.587794
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
Pu1 = 1,2D1+1,6L 160 21.38881119 0.53880008
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
Pu1 = 1,2D1+1,6L 98 20.85064685 0.41786031