tabla columnas

12
0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.25 0.50 1.0 0.00 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 R n = P n e f c A g h ' K n = P n f c A g ' P n = 0.6 h f y = 60 ksi h e f c = 4 ksi ' INTERACTION DIAGRAM L4–60.6 t = 0.0050 t = 0.0035 K max 0.75 f s f y = 0 z = 0.08 GRAPH2 Column interaction diagrams for rectangular tied columns with bars on end faces only. (Published with the permission of the American Concrete Institute.)

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Ayudas de Diseño para Columnas

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Page 1: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 657

A P P E NDI X A Tables and Graphs: U.S. Customary Units 657

0.07

0.06

0.05

0.04

0.03

0.02

0.010.25

0.50

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.6

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM L4–60.6

t = 0.0050

t = 0.0035

Kmax

0.75

fs⎜fy = 0

z = 0.08

GRAPH 2 Column interaction diagrams for rectangular tied columns with bars on end faces only.(Published with the permission of the American Concrete Institute.)

Page 2: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 658

658 A P P E NDI X A Tables and Graphs: U.S. Customary Units

0.07

0.06

0.05

0.04

0.03

0.02

0.01

0.25

0.50

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.550.500.45

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.7

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM L4–60.7

t = 0.0050

Kmax

0.75

fs⎜fy = 0

t = 0.0035

z = 0.08

GRAPH 3 Column interaction diagrams for rectangular tied columns with bars on end faces only.(Published with the permission of the American Concrete Institute.)

Page 3: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 659

A P P E NDI X A Tables and Graphs: U.S. Customary Units 659

0.07

0.06

0.05

0.04

0.03

0.02

0.01

0.50

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.55 0.600.500.45

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.8

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM L4–60.8

t = 0.0050

Kmax

0.75

fs⎜fy = 0

t = 0.0035

0.25

z = 0.08

GRAPH 4 Column interaction diagrams for rectangular tied columns with bars on end faces only.(Published with the permission of the American Concrete Institute.)

Page 4: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 660

660 A P P E NDI X A Tables and Graphs: U.S. Customary Units

0.07

0.06

0.05

0.04

0.03

0.02

0.01

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.55 0.65 0.600.500.45

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cA

g'

Pn

= 0.9

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM L4–60.9

t = 0.0050

fs⎜fy = 0

t = 0.0035

0.50

0.75

0.25

Kmax

z = 0.08

GRAPH 5 Column interaction diagrams for rectangular tied columns with bars on end faces only.(Published with the permission of the American Concrete Institute.)

Page 5: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 661

A P P E NDI X A Tables and Graphs: U.S. Customary Units 661

0.07

0.06

0.05

0.04

0.03

0.02

0.01

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30 0.35

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.6

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM R4–60.6

t = 0.0050t = 0.0035

0.50

0.75

0.25

Kmax

fs⎜fy = 0

z = 0.08

GRAPH 6 Column interaction diagrams for rectangular tied columns with bars on all four faces.(Published with the permission of the American Concrete Institute.)

Page 6: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 662

662 A P P E NDI X A Tables and Graphs: U.S. Customary Units

0.07

0.06

0.05

0.04

0.03

0.02

0.01

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30 0.400.35

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.7

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM R4–60.7

t = 0.0050t = 0.0035

0.50

0.75

Kmax

fs⎜fy = 0

0.25

z = 0.08

GRAPH 7 Column interaction diagrams for rectangular tied columns with bars on all four faces.(Published with the permission of the American Concrete Institute.)

Page 7: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 663

A P P E NDI X A Tables and Graphs: U.S. Customary Units 663

0.07

0.06

0.05

0.04

0.03

0.02

0.01

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30 0.450.400.35

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.8

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM R4–60.8

t = 0.0050t = 0.0035

0.75

Kmax

fs⎜fy = 0

0.25

0.50

1.0

z = 0.08

GRAPH 8 Column interaction diagrams for rectangular tied columns with bars on all four faces.(Published with the permission of the American Concrete Institute.)

Page 8: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 664

664 A P P E NDI X A Tables and Graphs: U.S. Customary Units

0.07

0.06

0.05

0.04

0.03

0.02

0.01

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30 0.500.450.400.35

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.9

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM R4–60.9

t = 0.0050t = 0.0035

0.75

Kmax

fs⎜fy = 0

0.25

0.50

1.0

z = 0.08

GRAPH 9 Column interaction diagrams for rectangular tied columns with bars on all four faces.(Published with the permission of the American Concrete Institute.)

Page 9: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 665

A P P E NDI X A Tables and Graphs: U.S. Customary Units 665

0.07

0.05

0.04

0.03

0.02

0.01

0.0000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.025 0.050 0.075 0.100 0.125 0.150 0.2500.2250.2000.175

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.6

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM C4–60.6

t = 0.0050

t = 0.0035

0.75

fs⎜fy = 0

0.25

0.50

1.0

Kmax0.06

z = 0.08

GRAPH 10 Column interaction diagrams for circular spiral columns.(Published with the permission of the American Concrete Institute.)

Page 10: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 666

666 A P P E NDI X A Tables and Graphs: U.S. Customary Units

Kmax

0.07

0.06

0.05

0.04

0.02

0.01

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.30

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.7

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM C4–60.7

t = 0.0050t = 0.0035

0.50

0.75

0.25

fs⎜fy = 0

z = 0.08

0.03

GRAPH 11 Column interaction diagrams for circular spiral columns.(Published with the permission of the American Concrete Institute.)

Page 11: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 667

A P P E NDI X A Tables and Graphs: U.S. Customary Units 667

Kmax

0.07

0.06

0.05

0.04

0.03

0.02

0.01

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.350.30

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.8

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM C4–60.8

t = 0.0050t = 0.0035

0.50

0.75

0.25

fs⎜fy = 0

z = 0.08

GRAPH 12 Column interaction diagrams for circular spiral columns.(Published with the permission of the American Concrete Institute.)

Page 12: Tabla Columnas

McCormac b01.tex V2 - January 10, 2013 5:36 P.M. Page 668

668 A P P E NDI X A Tables and Graphs: U.S. Customary Units

0.06

0.05

0.04

0.03

0.02

0.01

1.0

0.000.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.05 0.10 0.15 0.20 0.25 0.400.30 0.35

Rn = Pne⎜fcAgh'

Kn

=P

n⎜f

cAg

'

Pn

= 0.9

h

fy = 60 ksi

h

e

fc = 4 ksi'INTERACTION DIAGRAM C4–60.9

t = 0.0050t = 0.0035

0.50

0.75

0.25

fs⎜fy = 0

0.07

Kmax

z = 0.08

GRAPH 13 Column interaction diagrams for circular spiral columns.(Published with the permission of the American Concrete Institute.)