Vigas

Datos fy= 4200 kg/cm2

f´c= 200 kg/cm2f*c= 160 kg/cm2f´´c= 136 kg/cm2β1= 0.85

Pre- dimensionamiento

L= 600 cmh= 50 cm h= 50 cmb= 25 cmr= 5 cmd= 45 cm

Analisis Estructural

M= 13.5 t-mV= 9 t

Mu= 18.9 t-mVu= 12.6 t

Revisón

k= 45.9Z= 0.375

p1= 0.0486p2= 0.0162

pmax= 0.0162pmin= 0.0024

p= 0.0162As= 18.21 cm2

# 6No. 5

14.25

p= 0.0127 okAs= 14.25

k=0.9 𝑓´´𝑐 𝑞(1−0.5𝑞)

𝑀_𝑅=𝐾𝑏𝑑^2𝐴_𝑠=𝑏𝑑𝜌

𝑝_(,𝑚𝑖𝑛)=(0.7√(𝑓´𝑐))/𝑓𝑦

𝑝_𝑚𝑎𝑥=(𝑓𝑐´´)/𝑓𝑦 (6000𝛽_1)/(𝑓𝑦+6000)

𝑞=𝑝𝑓𝑦/(𝑓´´𝑐)

Revisión Por Cortante 31819.8052

ok

no

No se usa factor A-- --

12 L/h > 5

Se usa Formula 1

Formula 1

Formula 2

Formula 3

Interpolar

5.16 t

Vu= 12.6 tVcr= 5.16 t

Requiere Refuerzo

As= 1.43 cm2

s= 29.07 cms= 22.5 cms= 22 cm

𝑉𝑢<2.5𝐹_𝑅 𝑏𝑑√(𝑓´𝑐)ℎ>700𝑚𝑚

−𝐿⁄ℎ=

𝑉_𝐶𝑅=𝐹_𝑅 𝑏𝑑(0.2+20𝑝) √(𝑓´𝑐 )−−−−−1𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 )−−−−−2

𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 ) 𝐴^∗−−−−−3𝐴=3.5−2.5 𝑀/𝑉>1

𝑉_𝐶𝑅=

𝑃𝑎𝑟𝑎 4<L/h≤5 𝑖𝑛𝑡𝑒𝑟𝑝𝑜𝑙𝑎𝑟 𝑙𝑖𝑛𝑒𝑎𝑙𝑚𝑒𝑛𝑡𝑒 ℎ𝑎𝑠𝑡𝑎 𝑙𝑜𝑠 𝑣𝑎𝑙𝑜𝑟𝑒𝑠 𝑑𝑎𝑑𝑜𝑠 𝑝𝑜𝑟 𝑙𝑎𝑠 𝑒𝑐𝑢𝑎𝑐𝑖𝑜𝑛𝑒𝑠 (1)𝑦 (2 𝑜 3)

Revisar si 𝑉𝑢>𝑉_𝐶𝑅

s= 22 cm

Diametro nominal Número de BarrasNo. pulg. cm 1 2 3 4 5 6 7 8

2 1/4 0.6 0.32 0.63 0.95 1.27 1.58 1.90 2.22 2.532.5 1/3 0.8 0.49 0.99 1.48 1.98 2.47 2.97 3.46 3.963 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.704 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.135 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.836 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.807 7/8 2.2 3.88 7.76 11.64 15.52 19.40 23.28 27.16 31.048 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.549 1 1/8 2.9 6.41 12.83 19.24 25.65 32.07 38.48 44.89 51.30

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.3411 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.6412 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21

𝑝_𝑚𝑎𝑥=(𝑓𝑐´´)/𝑓𝑦 (6000𝛽_1)/(𝑓𝑦+6000)

Número de Barras9 102.85 3.174.45 4.956.41 7.13

11.40 12.6717.81 19.7925.65 28.5034.92 38.7945.60 50.6757.72 64.1371.26 79.1786.22 95.80

102.61 114.01




L= 600 cm 50 cmh= 50 cm h= 50 cmb= 25 cmr= 5 cm 25 cmd= 45 cm


M= 13.5 t-mV= 9 t

Mu= 18.9 t-mVu= 12.6 t

Revisón

k= 37.33Z= 0.305

p1= 0.0526p2= 0.0122

pmax= 0.0162pmin= 0.0024

p= 0.0122As= 13.68 cm2

# 6No. 5As= 14.25

p= 0.0127 okAs= 14.25

k=0.9 𝑓´´𝑐 𝑞(1−0.5𝑞)


𝑝_(,𝑚𝑖𝑛)=(0.7√(𝑓´𝑐))/𝑓𝑦

𝑝_𝑚𝑎𝑥=(𝑓𝑐´´)/𝑓𝑦 (6000𝛽_1)/(𝑓𝑦+6000)


B18

Joab Giovanni Vargas Rueda: Ingresar Altura de la Columna

Revisión Por Cortante 31819.8052

ok

no


12 L/h > 5

Se usa Formula 1

Formula 1

Formula 2

Formula 3

Interpolar

5.16 t

Vu= 12.6 tVcr= 5.16 t

Requiere Refuerzo

As= 1.43 cm2

s= 22 cm

L= 600 cm


−𝐿⁄ℎ=


𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 ) 𝐴^∗−−−−−3𝐴=3.5−2.5 𝑀/𝑉>1

𝑉_𝐶𝑅=



d= 45 cm

s= 22 cm Estribos # 3 @ 22 cm

50 cm5 Var # 6

25 cm


2 1/4 0.6 0.32 0.63 0.95 1.27 1.58 1.90 2.22 2.532.5 1/3 0.8 0.49 0.99 1.48 1.98 2.47 2.97 3.46 3.963 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.704 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.135 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.836 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.807 7/8 2.2 3.88 7.76 11.64 15.52 19.40 23.28 27.16 31.048 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.549 1 1/8 2.9 6.41 12.83 19.24 25.65 32.07 38.48 44.89 51.30

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.3411 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.6412 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21

𝑝_𝑚𝑎𝑥=(𝑓𝑐´´)/𝑓𝑦 (6000𝛽_1)/(𝑓𝑦+6000)

Número de Barras9 102.85 3.174.45 4.956.41 7.13

11.40 12.6717.81 19.7925.65 28.5034.92 38.7945.60 50.6757.72 64.1371.26 79.1786.22 95.80

102.61 114.01






M= 13.5 t-mV= 9 t

Mu= 18.9 t-mVu= 12.6 t

Revisón

k= 37.33Z= 0.305

p1= 0.0526p2= 0.0122

pmax= 0.0162pmin= 0.0024

p= 0.0122 0.01215962As= 13.68 cm2

# 6No. 5As= 14.25

p= 0.0127 okAs= 14.25

k=0.9 𝑓´´𝑐 𝑞(1−0.5𝑞)


𝑝_(,𝑚𝑖𝑛)=(0.7√(𝑓´𝑐))/𝑓𝑦

𝑝_𝑚𝑎𝑥=(𝑓𝑐´´)/𝑓𝑦 (6000𝛽_1)/(𝑓𝑦+6000)


Revisión Por Cortante

ok

no


12 L/h > 5

Se usa Formula 1

Formula 1

Formula 2

Formula 3

Interpolar

5.16 t

Vu= 12.6 tVcr= 5.16 t

Requiere Refuerzo

As= 1.43 cm2

s= 22 cm

L= 600 cm


−𝐿⁄ℎ=


𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 ) 𝐴^∗−−−−−3𝐴=3.5−2.5 𝑀/𝑉>1

𝑉_𝐶𝑅=



d= 45 cm


50 cm5 Var # 6

25 cm

No. pulg. cm 1 2 3 4 5 6 7 8 9 102 1/4 0.6 0.32 0.63 0.95 1.27 1.58 1.90 2.22 2.53 2.85 3.17

2.5 1/3 0.8 0.49 0.99 1.48 1.98 2.47 2.97 3.46 3.96 4.45 4.953 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.70 6.41 7.134 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.13 11.40 12.675 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.83 17.81 19.796 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.80 25.65 28.507 7/8 2.2 3.88 7.76 11.64 15.52 19.40 23.28 27.16 31.04 34.92 38.798 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.54 45.60 50.679 1 1/8 2.9 6.41 12.83 19.24 25.65 32.07 38.48 44.89 51.30 57.72 64.13

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.34 71.26 79.1711 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.64 86.22 95.8012 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21 102.61 114.01

Diametro nominal Número de Barras


2 1/4 0.6 0.32 0.63 0.95 1.27 1.58 1.90 2.22 2.532.5 1/3 0.8 0.49 0.99 1.48 1.98 2.47 2.97 3.46 3.963 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.704 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.135 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.836 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.807 7/8 2.2 3.88 7.76 11.64 15.52 19.40 23.28 27.16 31.048 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.549 1 1/8 2.9 6.41 12.83 19.24 25.65 32.07 38.48 44.89 51.30

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.3411 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.6412 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21

𝑝_𝑚𝑎𝑥=(𝑓𝑐´´)/𝑓𝑦 (6000𝛽_1)/(𝑓𝑦+6000)

Número de Barras9 102.85 3.174.45 4.956.41 7.13

11.40 12.6717.81 19.7925.65 28.5034.92 38.7945.60 50.6757.72 64.1371.26 79.1786.22 95.80

102.61 114.01






M= 13.5 t-mV= 9 t

Mu= 18.9 t-mVu= 12.6 t

Revisón

k= 37.33p1= 0.0526p2= 0.0122

pmax= 0.0162pmin= 0.0024

p= 0.0122As= 13.68 cm2

As= 14.251 cm2No. De Barr= 5

# 6 5 var # 6

p= 0.0127 OKAs= 14.25

k=0.9 𝑓´´𝑐 𝑞(1−0.5𝑞)


𝑝_(,𝑚𝑖𝑛)=(0.7√(𝑓´𝑐))/𝑓𝑦

𝑝_𝑚𝑎𝑥=(𝑓𝑐´´)/𝑓𝑦 (6000𝛽_1)/(𝑓𝑦+6000)

𝑝=𝑞𝑓𝑦/(𝑓´´𝑐)

𝑞=1±√(1−2𝑧)𝑧=𝑘/(0.9𝑓´´𝑐)


Ok

No


12 L/h > 5

Se usa Formula 1

Formula 1

Formula 2

Formula 3

Interpolar

5.16 t

Vu= 12.6 tVcr= 5.16 t

Vu>Vcr , por lo tanto Requiere Refuerzo

As= 1.43 cm2s= 22 cm Estribos # 3 @ 22 cm

L= 600 cm


−𝐿⁄ℎ=


𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 ) 𝐴^∗−−−−−3𝐴=3.5−2.5 𝑀/𝑉>1

𝑉_𝐶𝑅=



d= 45 cm


50 cm5 Var # 6

25 cm

No. pulg. cm 1 2 3 4 5 6 7 8 9 102 1/4 0.6 0.32 0.63 0.95 1.27 1.58 1.90 2.22 2.53 2.85 3.17

2.5 1/3 0.8 0.49 0.99 1.48 1.98 2.47 2.97 3.46 3.96 4.45 4.953 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.70 6.41 7.134 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.13 11.40 12.675 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.83 17.81 19.796 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.80 25.65 28.507 7/8 2.2 3.88 7.76 11.64 15.52 19.40 23.28 27.16 31.04 34.92 38.798 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.54 45.60 50.679 1 1/8 2.9 6.41 12.83 19.24 25.65 32.07 38.48 44.89 51.30 57.72 64.13

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.34 71.26 79.1711 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.64 86.22 95.8012 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21 102.61 114.01



3 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.704 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.135 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.836 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.808 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.54

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.3411 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.6412 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21

𝑝_𝑚𝑎𝑥=(𝑓𝑐´´)/𝑓𝑦 (6000𝛽_1)/(𝑓𝑦+6000)

Número de Barras9 106.41 7.13

11.40 12.6717.81 19.7925.65 28.5045.60 50.6771.26 79.1786.22 95.80

102.61 114.01

0.713 1 3 M(-) ? # area1.267 1 4 Si 3 0.7131.425 2 3 No 4 1.2671.979 1 5 5 1.9792.138 3 3 6 2.8502.534 2 4 8 5.0672.850 1 6 10 7.9172.850 4 3 11 9.5803.563 5 3 12 11.4013.800 3 43.959 2 5 Separacion estribos4.275 6 3 54.988 7 3 105.067 1 8 155.067 4 4 205.700 2 6 255.700 8 3 305.938 3 5 356.334 5 4 406.413 9 3 457.126 10 3 507.601 6 4 557.917 1 10 607.917 4 5 658.551 3 6 708.867 7 4 759.580 1 11 809.897 5 5 85

10.134 2 8 9010.134 8 4 9511.401 1 12 10011.401 4 6 10511.401 9 4 11011.876 6 5 11512.668 10 4 12013.855 7 5 12514.251 5 6 13015.201 3 8 13515.835 2 10 14015.835 8 5 14517.101 6 6 15017.814 9 519.160 2 1119.793 10 519.952 7 620.268 4 822.802 2 1222.802 8 6

23.752 3 1025.335 5 825.652 9 628.502 10 628.740 3 1130.402 6 831.669 4 1034.203 3 1235.470 7 838.320 4 1139.587 5 1040.537 8 845.604 4 1245.604 9 847.504 6 1047.900 5 1150.671 10 855.421 7 1057.005 5 1257.480 6 1163.338 8 1067.060 7 1168.406 6 1271.256 9 1076.640 8 1179.173 10 1079.806 7 1286.219 9 1191.207 8 1295.799 10 11

102.608 9 12114.009 10 12

Ramas1234

Datos fy= 4200 kg/cm2 L= Longitud de Viga

f´c= 200 kg/cm2 h= Altura de Vigaf*c= 160 kg/cm2 b= Base de Vigaf´´c= 136 kg/cm2 r= Recubrimientoβ1= 0.85 d= Peralte Efectivo

M= MomentoV= Fuerza CortanteAs= Área de Acero


L= 600 cm 50 cmh= 50 cm h= 50.0 cmb= 25 cmr= 5 cm 25 cmd= 45 cm


¿Existe Momento Negativo? No

M(+)= 13.5 t-mV= 9 t

No hay momento negativoMu= 18.9 t-mVu= 12.6 t

Momento Cortante

Revisión

k= 37.33p1= 0.0526p2= 0.0122

pmax= 0.0162pmin= 0.0024

p= 0.0122As= 13.68 cm2

No hay momento negativoAs= 14.251 cm2 5.938

No. De Barr= 5# 6

p= 0.0127 Cuantia Aceptable

5 var # 6


Ok

No


12 L/h > 5

Se usa Formula 1

No hay Momento Negativo

5.16 t

Vu= 12.6 t


𝐿⁄ℎ =

𝑉_𝐶𝑅=Revisar si 𝑽𝒖>𝑽_𝑪𝑹

Formula 1

Formula 2

Formula 3

Interpolar

Vcr= 5.16 t

Vu>Vcr , por lo tanto Requiere Refuerzo

Estribos # = 3 3Ramas = 2 2

As= 1.43 cm2Scalculada= 22 cm

s= 20 cm

Estribos # 3 @ 20 cm

L= 600 cm

h= 50 cm


2 Var # 3

50 cm5 Var # 6

25 cm

No. pulg. cm 1 2 3 4 5 6 7 8 9 103 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.70 6.41 7.134 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.13 11.40 12.675 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.83 17.81 19.796 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.80 25.65 28.508 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.54 45.60 50.67

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.34 71.26 79.1711 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.64 86.22 95.8012 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21 102.61 114.01


Formula 1

Formula 2

Formula 3

Interpolar

Formula 1

Formula 2

Formula 3

Interpolar

0.70.8

7.2337.37.3

50 5 7.325 2.5 7.3

5 0.5 7.37.3

6 8 7.30.5 0.7 7.3

7.3 7.37.23333333

0.670.670.670.670.670.670.67

𝑉_𝐶𝑅=𝐹_𝑅 𝑏𝑑(0.2+20𝑝) √(𝑓´𝑐 )−−−−−1𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 )−−−−−2𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 ) 𝐴^∗−−−−−3𝐴=3.5−2.5 𝑀/𝑉>1𝑃𝑎𝑟𝑎 4<L/h≤5 𝑖𝑛𝑡𝑒𝑟𝑝𝑜𝑙𝑎𝑟 𝑙𝑖𝑛𝑒𝑎𝑙𝑚𝑒𝑛𝑡𝑒 ℎ𝑎𝑠𝑡𝑎 𝑙𝑜𝑠 𝑣𝑎𝑙𝑜𝑟𝑒𝑠 𝑑𝑎𝑑𝑜𝑠 𝑝𝑜𝑟 𝑙𝑎𝑠 𝑒𝑐𝑢𝑎𝑐𝑖𝑜𝑛𝑒𝑠 (1)𝑦 (2 𝑜 3)

0.672.33

1.66666666666667 4.006.67 5.67

2.334

5.66666667

0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.00

1

2

3

4

5

6

7

8

Column IColumn H

0.70.70.70.70.7

23456

7.37.37.37.37.3

65432

𝑉_𝐶𝑅=𝐹_𝑅 𝑏𝑑(0.2+20𝑝) √(𝑓´𝑐 )−−−−−1𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 )−−−−−2𝑉_𝐶𝑅=〖 0.5𝐹〗 _𝑅 𝑏𝑑√(𝑓´𝑐 ) 𝐴^∗−−−−−3𝐴=3.5−2.5 𝑀/𝑉>1𝑃𝑎𝑟𝑎 4<L/h≤5 𝑖𝑛𝑡𝑒𝑟𝑝𝑜𝑙𝑎𝑟 𝑙𝑖𝑛𝑒𝑎𝑙𝑚𝑒𝑛𝑡𝑒 ℎ𝑎𝑠𝑡𝑎 𝑙𝑜𝑠 𝑣𝑎𝑙𝑜𝑟𝑒𝑠 𝑑𝑎𝑑𝑜𝑠 𝑝𝑜𝑟 𝑙𝑎𝑠 𝑒𝑐𝑢𝑎𝑐𝑖𝑜𝑛𝑒𝑠 (1)𝑦 (2 𝑜 3)

0.76.56.56.5

111

0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.00

1

2

3

4

5

6

7

8

Column IColumn H







¿Existe Momento Negativo? Si

M(+)= 6.18 t-m M(-)= 12.66 t-mV= 3.72 t V(-)= 6.28 t

Mu= 8.65 t-m Mu= 17.72 t-mVu= 5.208 t Vu(-)= 8.792 t

Momento Cortante

Revisión Revisón de Momento Negativo

k= 17.09 k= 35.01p1= 0.0761 p1= 0.0703p2= 0.0048 p2= 0.0107

pmax= 0.0202 pmax= 0.0202pmin= 0.0026 pmin= 0.0026

p= 0.0048 p= 0.0107As= 5.41 cm2 As= 12.00 cm2

As= 5.938 cm2 As= 11.876 cm2No. De Barr= 3 No. De Barr= 6

# 5 # 5

p= 0.0053 Cuantia Aceptable p= 0.0106 No Pasa

3 var # 5 6 var # 5


Ok

No


12 L/h > 5

Se usa Formula 1 Se usa Formula 1

3.89 t Vcr = 5.23 t

Revisar si Vu > Vcr

Vu= 5.208 t Vu = 8.792 t


𝐿⁄ℎ =


Formula 1

Formula 2

Formula 3

Interpolar

Vcr= 3.89 t Vcr = 5.23 t

Vu>Vcr , por lo tanto Requiere Refuerzo Vu>Vcr , por lo tanto Requiere Refuerzo

Estribos # = 3 Estribos # = 3Ramas = 2 Ramas = 2

As= 1.43 cm2 As= 1.43 cm2Scalculada= 22 cm Scalculada= 22 cm

s= 20 cm s= 20 cm

Estribos # 3 @ 20 cm Estribos # 3 @ 20 cm

L= 600 cm

h= 50 cm


6 Var # 5

50 cm3 Var # 5

25 cm

No. pulg. cm 1 2 3 4 5 6 7 8 9 103 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.70 6.41 7.134 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.13 11.40 12.675 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.83 17.81 19.796 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.80 25.65 28.508 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.54 45.60 50.67

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.34 71.26 79.1711 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.64 86.22 95.8012 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21 102.61 114.01


237170810000 10

1000

Formula 1

Formula 2

Formula 3

Interpolar

Table 17: Element Forces - Frames, Part 2 of 2

Frame Station OutputCase T M2 M3

m Tonf-m Tonf-m Tonf-m

1 0 DEAD 0 0 -3.1824

1 0.5 DEAD 0 0 -1.14732

1 1 DEAD 0 0 0.38776

1 1.5 DEAD 0 0 1.42284

1 2 DEAD 0 0 1.95792

1 2.5 DEAD 0 0 1.993

1 3 DEAD 0 0 1.52808

1 3.5 DEAD 0 0 0.56316

1 4 DEAD 0 0 -0.90176

1 4.5 DEAD 0 0 -2.86668

1 5 DEAD 0 0 -5.3316

1 5.5 DEAD 0 0 -8.29652

1 6 DEAD 0 0 -11.76144

2 0 DEAD 0 0 -11.76144

2 0.5 DEAD 0 0 -4.96122

2 1 DEAD 0 0 0.589

2 1.5 DEAD 0 0 4.88922

2 2 DEAD 0 0 7.93944

2 2.5 DEAD 0 0 9.73966

2 3 DEAD 0 0 10.28988

2 3.5 DEAD 0 0 9.5901

2 4 DEAD 0 0 7.64032

2 4.5 DEAD 0 0 4.44054

2 5 DEAD 0 0 -0.00924

2 5.5 DEAD 0 0 -5.70902

2 6 DEAD 0 0 -12.6588

3 0 DEAD 0 0 -12.6588

3 0.5 DEAD 0 0 -9.51866

3 1 DEAD 0 0 -6.37852

3 1.5 DEAD 0 0 -3.23838

3 2 DEAD 0 0 -0.09824

3 2.5 DEAD 0 0 3.0419

3 3 DEAD 0 0 6.18204

3 3 DEAD 0 0 6.18204

3 3.5 DEAD 0 0 4.32218

3 4 DEAD 0 0 2.46232

3 4.5 DEAD 0 0 0.60246

3 5 DEAD 0 0 -1.2574

3 5.5 DEAD 0 0 -3.11726

3 6 DEAD 0 0 -4.97712

A B C-2.5 14.85 -11.761

X1 0.94108403X2 4.99891597

0 1 2 3 4 5 6 7

-15

-10

-5

0

5

10

15

f(x) = − 2.5 x² + 14.85044 x − 11.76144

Chart Title







¿Existe Momento Negativo? Si

M(+)= 3.29035 t-m M(-)= 6.5558 t-mV= 6.28 t V(-)= 6.28 t

Mu= 4.60649 t-m Mu= 9.17812 t-mVu= 8.792 t Vu(-)= 8.7948 t

Momento Cortante

Revisión Revisón de Momento Negativo

k= 9.10 k= 18.13p1= 0.0785 p1= 0.0758p2= 0.0025 p2= 0.0051

pmax= 0.0202 pmax= 0.0202pmin= 0.0026 pmin= 0.0026

p= 0.0026 p= 0.0051As= 2.96 cm2 As= 5.76 cm2

As= 3.800 cm2 As= 6.334 cm2No. De Barr= 3 No. De Barr= 5

# 4 # 4

p= 0.0034 Cuantia Aceptable p= 0.0056 OK

3 var # 4 5 var # 4


Ok

No


12 L/h > 5

Se usa Formula 1 Se usa Formula 1

3.41 t Vcr = 3.98 t

Revisar si Vu > Vcr V= 3.61 t

Vu= 8.792 t Vu = 5.054 t


𝐿⁄ℎ =


Formula 1

Formula 2

Formula 3

Interpolar

Vcr= 3.41 t Vcr = 3.98 t




s= 20 cm s= 20 cm


L= 600 cm

h= 50 cm


5 Var # 4

50 cm3 Var # 4

25 cm

V= 3.63 t V= 3.61 t

No. pulg. cm 1 2 3 4 5 6 7 8 9 103 3/8 1.0 0.71 1.43 2.14 2.85 3.56 4.28 4.99 5.70 6.41 7.134 1/2 1.3 1.27 2.53 3.80 5.07 6.33 7.60 8.87 10.13 11.40 12.675 5/8 1.6 1.98 3.96 5.94 7.92 9.90 11.88 13.86 15.83 17.81 19.796 3/4 1.9 2.85 5.70 8.55 11.40 14.25 17.10 19.95 22.80 25.65 28.508 1 2.5 5.07 10.13 15.20 20.27 25.34 30.40 35.47 40.54 45.60 50.67

10 1 1/4 3.2 7.92 15.83 23.75 31.67 39.59 47.50 55.42 63.34 71.26 79.1711 1 3/8 3.5 9.58 19.16 28.74 38.32 47.90 57.48 67.06 76.64 86.22 95.8012 1 1/2 3.8 11.40 22.80 34.20 45.60 57.00 68.41 79.81 91.21 102.61 114.01


Revisar si 𝑽𝒖>𝑽_𝑪𝑹

Vu= 5.082 t Vu = 5.054 tVcr= 3.41 t Vcr = 3.98 t




s= 20 cm s= 20 cm


237170810000 10

1000

Formula 1

Formula 2

Formula 3

Interpolar

Vigas

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