cm cm cm cm 1 1 1 75 75 75 75 := cv cv cv cv 1 1 1 35 35 35 35 := cm cm cm cm 2 2 2 125 125 125 125 := cv cv cv cv 2 2 2 50 50 50 50 := γ γ γ t t t 2 2 2 := P P P 1 1 1 cm cm cm cm 1 1 1 cv cv cv cv 1 1 1 + 110 110 110 110 = := P P P 2 2 2 cm cm cm cm 2 2 2 cv cv cv cv 2 2 2 + 175 175 175 175 = := σ σ σ 1 1 1 20 20 20 20 := hf hf hf hf 1.5 1.5 1.5 1.5 := Dimensionando la Zapata: sc sc sc sc 0.4 0.4 0.4 0.4 := Pt Pt Pt Pt P P P 1 1 1 P P P 2 2 2 + 285 285 285 285 = := σ σ σn n n σ σ σ 1 1 1 hf hf hf hf γ γ γ t t t ⋅ − sc sc sc sc − 16.6 16.6 16.6 16.6 = := Azap Azap Azap Azap Pt Pt Pt Pt σ σ σn n n 17.169 17.169 17.169 17.169 = := Dado Dado Dado Dado x x x 10 10 10 10 := 110 110 110 110 − .5 .5 .5 .5 2 2 2 ⋅ Pt Pt Pt Pt x x x ⋅ + 175 175 175 175 .5 .5 .5 .5 5 5 5 + .65 .65 .65 .65 2 2 2 + ⋅ − 0 0 0 = x x x Find Find Find Find x x x () 3.673 3.673 3.673 3.673 = := L L L z z z 2 2 2x x x ⋅ 7.346 7.346 7.346 7.346 = := B B B Azap Azap Azap Azap L L L z z z 2.337 2.337 2.337 2.337 = := B B B 2.40 2.40 2.40 2.40 := Calculo del Armado: P P P 1u 1u 1u 1u 1.2 1.2 1.2 1.2 cm cm cm cm 1 1 1 ⋅ 1.6 1.6 1.6 1.6 cv cv cv cv 1 1 1 ⋅ + 146 146 146 146 = := P P P 2u 2u 2u 2u 1.2 1.2 1.2 1.2 cm cm cm cm 2 2 2 ⋅ 1.6 1.6 1.6 1.6 cv cv cv cv 2 2 2 ⋅ + 230 230 230 230 = := W W W NU NU NU NU P P P 1u 1u 1u 1u P P P 2u 2u 2u 2u + ( ) L L L z z z 51.181 51.181 51.181 51.181 = :=

Mathcad - Roberto Morales_3.15_zapata Combinada

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Resolucion del Problema en MathCad de una Zapata Combinada del proble 3.15 Concreto Armado Roberto Morales.

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cmcmcmcm1111 75757575:= cvcvcvcv1111 35353535:= cmcmcmcm2222 125125125125:= cvcvcvcv2222 50505050:= tttt 2222:=

PPPP1111 cmcmcmcm1111 cvcvcvcv1111+ 110110110110=:= PPPP2222 cmcmcmcm2222 cvcvcvcv2222+ 175175175175=:= 1111 20202020:=

hfhfhfhf 1.51.51.51.5:=Dimensionando la Zapata:

scscscsc 0.40.40.40.4:=PtPtPtPt PPPP1111 PPPP2222+ 285285285285=:=

nnnn 1111 hfhfhfhf tttt scscscsc 16.616.616.616.6=:= AzapAzapAzapAzapPtPtPtPt

nnnn17.16917.16917.16917.169=:=

DadoDadoDadoDado

xxxx 10101010:= 110110110110.5.5.5.5

2222

PtPtPtPt xxxx+ 175175175175 .5.5.5.5 5555+.65.65.65.65

2222+

0000= xxxx FindFindFindFind xxxx( ) 3.6733.6733.6733.673=:=

LLLLzzzz 2222 xxxx 7.3467.3467.3467.346=:= BBBBAzapAzapAzapAzap

LLLLzzzz2.3372.3372.3372.337=:= BBBB 2.402.402.402.40:=

Calculo del Armado:

PPPP1u1u1u1u 1.21.21.21.2 cmcmcmcm1111 1.61.61.61.6 cvcvcvcv1111+ 146146146146=:= PPPP2u2u2u2u 1.21.21.21.2 cmcmcmcm2222 1.61.61.61.6 cvcvcvcv2222+ 230230230230=:=

WWWWNUNUNUNU

PPPP1u1u1u1u PPPP2u2u2u2u+( )LLLLzzzz

51.18151.18151.18151.181=:=