CORRECCIÓN PRUEBA CONSTRUCCIONES I PARTE 1 (15PTS) Dimensiones del bloque b ≔ 29 cm h ≔ 14 cm p ≔ 9 cm 1.- Cálculo de área total 1.1 Área Exterior Perímetro ≔ 1.2 m ⋅ 2 + 8 m ⋅ 2 + 3 m ⋅ 4 Perímetro = 30.4 m ÁreaExteriortotal ≔ Perímetro ⋅ 2.4 m 2 ÁreaExteriortotal = 72.96 m
Puerta ÁreaVentanas ≔ 0.5 m ⋅ 1.2 m ⋅ 3 + 1.5 m ⋅ 1.2 m ⋅ 4 + 0.9 m ⋅ 2.4 m 2 ÁreaVentanas = 11.16 m ÁreaExteriorNeta ≔ ÁreaExteriortotal − ÁreaVentanas 2 ÁreaExteriorNeta = 61.8 m 2.- Cálculo de volúmenes aparentes Dosificación 1:4 Vap ≔ 1 + 3 Vap = 4 Vh2o ≔ 15% ⋅ Vap Vh2o = 0.6 3.-Cálculo de volúmenes reales Cemento ≔ 1 ⋅ 0.5 = 0.5 Arena ≔ 3 ⋅ 0.6 = 1.8 Aguar ≔ Vh2o ⋅ 1 = 0.6 Vreal ≔ Cemento + Arena + Aguar = 2.9 4.- Cálculo de cantidad de materiales por m3 de mortero 1:3 y 15% H2O (1400) kg = 482.759 kg C ≔ ―――― Vreal 3 3 3 A ≔ ―― m = 1.034 m Vreal
3 3 Vh2o H2O ≔ ―― m = 0.207 m Vreal
3 3 3 A ≔ ―― m = 1.034 m Vreal
5.- Cálculo del volumen de mortero () 5.1 Volumen mortero Exterior
#Ladrillos = ? 1 ladrillo
b1 ≔ b + 2 cm = 0.31 m h1 ≔ p + 2 cm = 0.11 m
#LadrillosExteriores = ? 1 ladrillo
3 ÁreaExteriorNeta #LadrillosExteriores ≔ ―――――― = 1.812 ⋅ 10 1 ⋅ (b1 ⋅ h1) 3
Vpared ≔ ÁreaExteriorNeta ⋅ h = 8.652 m 3 Vladrillos ≔ #LadrillosExteriores ⋅ (b ⋅ h ⋅ p) = 6.622 m Vmorteroexterior ≔ Vpared − Vladrillos = 2.03 m
3
5.2 Volumen de mortero interior ÁreaInterior ≔ (1.87 m ⋅ 2 + 5.52 m) ⋅ 2.4 m = 22.224 m b2 ≔ b + 2 cm = 0.31 m h2 ≔ h + 2 cm = 0.16 m
2
#LadrillosInteriores = ? 1 ladrillo
ÁreaInterior = 448.065 #LadrillosInteriores ≔ ――――― 1 ⋅ (b2 ⋅ h2)
3
Vpared ≔ ÁreaInterior ⋅ p = 2 m 3 Vladrillos ≔ #LadrillosInteriores ⋅ (b ⋅ h ⋅ p) = 1.637 m Vmorterointerior ≔ Vpared − Vladrillos = 0.363 m
3
VmorteroTotal ≔ Vmorteroexterior + Vmorterointerior = 2.393 m
3
6.-Cantidad de materiales en Vmorterototal 3 VmorteroTotal ⋅ C Cemento ≔ ――――――= ⎛⎝1.155 ⋅ 10 ⎞⎠ kg 3 1m 3 VmorteroTotal ⋅ A Arena ≔ ――――――= 2.475 m 3 1m 3 VmorteroTotal ⋅ H2O Agua ≔ ―――――――= 0.495 m 3 1m
Cemento = 23.102 Sacos ≔ ―――― 50 kg
3 VmorteroTotal ⋅ H2O Agua ≔ ―――――――= 0.495 m 3 1m
6.- Alternativo
3 VmorteroTotal ⋅ 1 Cemento ≔ ――――――= 0.825 m Vreal
kg Υ ≔ 1400 ―― 3 m Cemento = 23.102 Sacos ≔ ―――― 50 kg
3 Cemento ≔ Υ ⋅ Cemento = ⎛⎝1.155 ⋅ 10 ⎞⎠ kg
3 VmorteroTotal ⋅ 3 Arena ≔ ――――――= 2.475 m Vreal 3 VmorteroTotal ⋅ Aguar = 0.495 m Agua ≔ ―――――――― Vreal
#Ladrillos ≔ #LadrillosExteriores + #LadrillosInteriores = 2260.381 RESUMEN Sacos = 23.102
Sacos ≔ Sacos ⋅ 1.1 = 25.412
Arena = 2.475 m Agua = 0.495 m
3
*Desperdicio
3
#Ladrillos = 2260.381
PARTE 2 (5PTS) 1.- Cálculo de volúmenes aparentes Dosificación 1:5 Vap ≔ 1 + 5 Vap = 6 Vh2o ≔ 15% ⋅ Vap Vh2o = 0.9 2.-Cálculo de volúmenes reales Cemento ≔ 1 ⋅ 0.5 = 0.5 Arena ≔ 5 ⋅ 0.6 = 3 Aguar ≔ Vh2o ⋅ 1 = 0.9 Vreal ≔ Cemento + Arena + Aguar = 4.4
Arena ≔ Arena ⋅ 1.1 = 2.723 m Agua ≔ Agua ⋅ 1.1 = 0.545 m
3
3
#Ladrillos ≔ #Ladrillos ⋅ 1.1 = 2486.419
3.- Volumen de mortero por m2 ÁreaTotal ≔ 1 m ⋅ 1 m = 1 m
2
VmorteroTotal ≔ ÁreaTotal ⋅ 0.02 m = 0.02 m
3
3.- Alternativo
3 VmorteroTotal ⋅ 1 Cemento ≔ ――――――= 0.005 m Vreal
kg Υ ≔ 1400 ―― 3 m Cemento = 0.127 Sacos ≔ ―――― 50 kg
Cemento ≔ Υ ⋅ Cemento = 6.364 kg 3 VmorteroTotal ⋅ 5 Arena ≔ ――――――= 0.023 m Vreal 3 VmorteroTotal ⋅ Aguar = 0.004 m Agua ≔ ―――――――― Vreal
RESUMEN Cemento = 6.364 kg Arena = 0.023 m Agua = 0.004 m
3
Cemento ≔ Cemento ⋅ 1.05 = 6.682 kg *Desperdicio
3
Arena ≔ Arena ⋅ 1.05 = 0.024 m
3
Agua ≔ Agua ⋅ 1.05 = 4.295 L
****************************************************************** CALCULO TOMANDO EXTERIORES E INTERIORES ****************************************************************** 3.- Volumen de mortero (Tomando Exteriores e interiores) ÁreaTotal ≔ ÁreaExteriorNeta + ÁreaInterior = 84.024 m VmorteroTotal ≔ ÁreaTotal ⋅ 0.04 m = 3.361 m
3.- Alternativo
3 VmorteroTotal ⋅ 1 Cemento ≔ ――――――= 0.764 m Vreal
3 Cemento ≔ Υ ⋅ Cemento = ⎛⎝1.069 ⋅ 10 ⎞⎠ kg
2
3
kg Υ ≔ 1400 ―― 3 m Cemento = 21.388 Sacos ≔ ―――― 50 kg
Cemento = 21.388 Sacos ≔ ―――― 50 kg
3 Cemento ≔ Υ ⋅ Cemento = ⎛⎝1.069 ⋅ 10 ⎞⎠ kg
3 VmorteroTotal ⋅ 5 Arena ≔ ――――――= 3.819 m Vreal 3 VmorteroTotal ⋅ Aguar = 0.687 m Agua ≔ ―――――――― Vreal
RESUMEN 3 Cemento = ⎛⎝1.069 ⋅ 10 ⎞⎠ kg
Arena = 3.819 m Agua = 0.687 m
3
3
*Desperdicio
Cemento ≔ Cemento ⋅ 1.05 = 1122.866 kg Arena ≔ Arena ⋅ 1.05 = 4.01 m
3
Agua ≔ Agua ⋅ 1.05 = 721.843 L