Corrección prueba i

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