Modelo Esfuerzo - Deforzmación para concreto simple (Hognestad)

Modelo Hognestad para concreto    = −1  ∙   +   ∙  1  =

 ′ 

0

  =

e

′

2∙

- fc

300.0

0 250.0

f'c = 280 k g/cm2 e0 = 0.002 ecu = 0.004 a1 = 7000 700000 0000 00 a2 = 280000

200.0 150.0 100.0

c1 = ec2 = ec3 = ec4 = e0 = ecu =

0.0000 0.0005 0.0010 0.0015 0.0020 0.0040

e

fc1 = fc2 = fc3 = fc4 = f' c = fcu =

0 .0 122.5 210.0 262.5 280.0 238.0

kg/cm2 kg/cm2 kg/cm2 kg/cm2 kg/cm2 kg/cm2

50.0 0.0 0.0000

0 .0 0 0 5

0 .0 0 1 0

0.0015

   = −1  ∙   +   ∙  1  =

 ′ 

0

  =

e

2 ∙ ′

c1 = c2 = ec3 = ec4 = e0 = ecu =

0

0 .0 91.9

kg/cm2 kg/cm2

0.0010 0.0015 0.0020 0.0040

fc3 = fc4 = f' c = fcu =

157.5 196.9 210.0 178.5

kg/cm2 kg/cm2 kg/cm2 kg/cm2

  =

c1 = ec2 = ec3 = ec4 = e0 = ecu =

0.0000 0.0005 0.0010 0.0015 0.0020 0.0040

0.0030

0.0035

0.0040

0.0025

0 .0 0 3 0

0.0035

0.0040

50.0

0.0 0.0000

0 .0 0 0 5

0 .0 0 1 0

0.0015

160.0

0

140.0

fc1 = fc2 = fc3 = fc4 = f' c = fcu =

0 .0 0 2 0

e

2 ∙ ′

f'c = 140 k g/cm2 e0 = 0.002 ecu = 0.004 a1 = 3500 350000 0000 00 a2 = 140000 e

0.0025

- fc

100.0

fc1 = fc2 =



0.0040

150.0

   = −1  ∙   +   ∙  1  =

0.0035

200.0

0.0000 0.0005

 ′

0 .0 0 3 0

250.0

210 k g/cm2 0.002 0.004 a1 = 5250 525000 0000 00 a2 = 210000

e

0.0025

0

f'c = e0 = ecu =

e

0 .0 0 2 0

- fc

120.0 100.0 80.0 60.0 0 .0 61.3 105.0 131.3 140.0 119.0

kg/cm2 kg/cm2 kg/cm2 kg/cm2 kg/cm2 kg/cm2

40.0 20.0 0.0 0.0000

0 .0 0 0 5

0 .0 0 1 0

0.0015

0 .0 0 2 0

Acero - Elastoplástico e

E=

- fs

2000000 kg/cm2 5000

y1 = ey2 = ey3 = ey4 = ey = eu = e

0.0000 0.0005 0.0010 0.0015 0.0021 0.0040

fy1 = fy1 = fy1 = fy1 = fy = fu =

0 1000 2000 3000 4200 4200

kg/cm2 kg k g/cm2 kg k g/cm2 kg k g/cm2 kg kg/cm2 kg kg/cm2

4000 3000 2000 1000 0 0 .0 0 0 0

0 .0 0 0 5

0.0010

0.0015

0.0020

0 .0 0 2 5

0.0030

0 .0 0 3 5

0 .0 0 4 0

e

- fc

300.0

250.0

200.0

150.0

100.0

50.0

0.0 0.0000

0.0005

0.0010

0.0015 f'c = 280kg/cm2

0.0020 f'c = 210kg/cm2

0.0025

0.0030

f'c = 140kg/cm2

0.0035

0.0040