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HOJA DE CÁLCULO PARA VIGAS DE HORMIGÓN ARMADO
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ESQUEMA (T. y m.)
ACERO : B -500 - S
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HORM. HA -25
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f cd = 1666,67T/m2
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f cy =64,55T/m2
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QM1=8,83T·m
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M1d=14,13T·m
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M2 =1025T·m
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M2d =1640,00T·m
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M3 =0T·m
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M3d =0,00T·m
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MQ1=8,4T
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Q1d=13,44T
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Q2 =5,1T
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Q2d =8,16T
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Q3 =4,2T
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Q3d =6,72T
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1.- CÁLCULOS PREVIOS:
DIMENSIONES (cm.)
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Mlim = 0,31· fcd· b· d2 =
6,72T·md' = 3
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Usmin = 0,04· fcd· b· d =
5,10Tbhd
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452017
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2.- CÁLCULO ARMADURA LONGITUDINAL
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 * M1 =8,83
T.m ------>
M1d =14,13T.m
Md > Mlim --> Hay Us'
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Us' (T.) = ( Md - Mlim ) / ( d - d' ) =
52,920
Us (T.) =0,425·fcd·b·d+Us'=
107,107
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11Ø 1222Ø 12
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7Ø 1613Ø 16
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Us'4Ø 20Us8Ø 20Ø ELEGIDO
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Comp.3Ø 25Tracc.6Ø 2516
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2Ø 324Ø 32
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1Ø 402Ø 40
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 * M2 =1025
T.m ------>
M2d =1640,00T.m
Md > Mlim --> Hay Us'
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Us' (T.) = ( Md - Mlim ) / ( d - d' ) =
11666,291
Us (T.) =0,425·fcd·b·d+Us'=
11720,479
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2372Ø 122383Ø 12
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1335Ø 161342Ø 16
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Us'855Ø 20Us859Ø 20
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Comp.547Ø 25Tracc.550Ø 25
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334Ø 32336Ø 32
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214Ø 40215Ø 40
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 * M3 =0,00
T.m ------>
M3d =0,00T.m
Md < Mlim --> No hay Us'
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y(m.) = d (1-RAIZ(1-Md/(0,425·fcd·b·d2)) =
0,000
Us (T.) = 0,85 · fcd · b · y =
0,000
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1Ø 121Ø 12
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1Ø 161Ø 16
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Us'1Ø 20Us1Ø 20
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Comp.1Ø 25Tracc.1Ø 25
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1Ø 321Ø 32
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1Ø 40≥ 101Ø 40Ø ELEGIDO
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3.- CÁLCULO ARMADURA TRANSVERSAL s
≤ 30 -----> de 10 a
148
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Qcd=fcy·b·d=
4,94T. (cm)≤ 0,85 · d =14,45Usy (T.)=
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 * Q1 =8,4T. ------>Q1d =13,44T.8,74
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Qsd = Qd - Qcd =
8,50T.
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4Ø 6 --> Usy=4,92
T. s = 0,9·d·Usy / Qsd=
8,85cm.
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4Ø 8 --> Usy=8,74
T. s = 0,9·d·Usy / Qsd=
15,73cm. -------> a14
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4Ø 10 -> Usy=13,64
T. s = 0,9·d·Usy / Qsd=
24,55cm.
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 * Q2 =5,1T. ------>Q2d =8,16T.
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Qsd = Qd - Qcd =
3,22
T. s = 0,9·d·Usy / Qsd=
41,50cm. -------> a14
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 * Q3 =4,2T. ------>Q3d =6,72T.
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Qsd = Qd - Qcd =
1,78
T. s = 0,9·d·Usy / Qsd=
75,04cm. -------> a14
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