04-structure technical report for 135

8/16/2019 04-Structure Technical Report for 135

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DUCTILE COLUMNS ‐ EN 1992‐1:2004.

Detailing of primary seismic columns for local ductility (5.4.3.2.2)

fyd = 360 MPa = 36 KN/cm2

Level

hc

[cm]

bc

[cm]

NEd

[KN]

Ø

[mm] [cm2] [cm

2]

As,min.

[cm2]

min.

number of bars Calcu‐

lated

Calcu‐

lated

As

[cm2}

Max. As =

= 0.04Ac

[cm2] Remark

Actual% of reinf.

Garage ‐ G. F. 70 45 7151,35 22 19,86 6,30 19,86 5 18 68,42 126,00 Satisfied. 2,17%

4. ‐ 8 Floor 45 45 274,65 22 0,76 4,05 4,05 1 20 76,03 81,00 Satisfied. 3,75%

DCM: length of the critical region lcr:

Level

hc

[cm]

bc

[cm]

the clear

length of

the

column

lc

[cm] lcr = max(hc, lc/6, 45) lc/lcr

G. F. ‐ 1st floor 70 45 770 128,33 6,00 128 cm

G. F. ‐ Mezzanine 70 45 350 70,00 5,00 70 cm

4. floor ‐ 8. Floor 45 45 325 54,17 6,00 54 cm

The minimal diameter the hoops:

diameter of the hoops, Øu,min. = max(6 mm, Øl/4)

Diameter of the longitudinal reinforcement, Øl = 22 mm

Øu,min = 6 mm

Adopted Øu = 8 mm

The total longitudinal reinforcement ratio ρ shall be not less than 0,01 and not more than 0,04. In symmetrical cross‐sections

symmetrical reinforcement should be provided (ρ = ρ′).

If lc/lcr


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The max spacing the hoops:

The lesser dimension of the column, bc = 450 mm

Øu = 8 mm

Diameter of the longitudinal reinforcement, Øl = 19 mm

s,max = min(20Øl, bc, 400 mm) = 380 mm

s = 0.6s,max = 228 mm

The minimal spacing, s, of the hoops:

hc = 700 mm

bc = 450 mm

cnom = 25 mm

diameter of the

hoops, Øu = 10 mm

For DCM: s = min{bo/2; 175; 8dbL}

For DCH: s = min{bo/3; 125; 6dbL}

bo = 390 mm ‐ the minimum dimension of the concrete core (to the centreline of the hoops)

dbL = 22 mm ‐ is the minimum diameter of the longitudinal bars

for DCM: s = 175 mm

for DCH: s = 125 mm

The maximum spacing required in should be reduced by a factor 0,6:

I) In sections within a distance equal to the larger dimension of the column cross‐section

above or below a beam or slab

II) near lapped joints, if the maximum diameter of the longitudinal bars is greater than 14 mm


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In the critical region at the base of primary seismic columns a value of the curvature ductility factor, μφ, should be provided.

This requirement are deemed to be satisfied if:

wd = Vh f yd/V0 f cd ≥ 0.08/0.12 for DCM/DCH

For design DCM is adopted.

for columns b/h = 450/700 mm

cnom = 25 mm

diameter of the

hoops, Øu = 10 mm

s = 175 mm

b = 450 mmh = 700 mm

bo = 390 mm

ho = 640 mm fu/s

n = 8

Vh = n∙fu∙bo = 245044 mm2

V0 = s∙bo∙ho = 4E+07 mm2

ho

f y = 360 MPa

f yd = f y/1.15 = 313,04 MPa

f c = 30 MPa

f cd = f c/1.5 = 20 MPa

wd = 0,088 > 0.08 ‐> Satisfied! bo

for columns b/h = 450/450 mm

cnom = 25 mm


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The minimal spacing, s, of the hoops:

hc = 450 mm

bc = 450 mm

cnom = 25 mm

diameter of the

hoops, Øu = 8 mm

For DCM: s = min{bo/2; 175; 8dbL}

For DCH: s = min{bo/3; 125; 6dbL}

bo = 392 mm ‐ the minimum dimension of the concrete core (to the centreline of the hoops)

dbL = 22 mm ‐ is the minimum diameter of the longitudinal bars

for DCM: s = 175 mm

for DCH: s = 125 mm

diameter of the

hoops, Øu = 8 mm

s = 175 mm

b = 450 mm

h = 450 mm

bo = 392 mm

ho = 392 mm fu/s

n = 8

Vh = n∙fu∙bo = 157633 mm2

V0 = s∙bo∙ho = 3E+07 mm2

ho

f y = 360 MPa

f yd = f y/1.15 = 313,04 MPa

f c = 30 MPa

f cd = f c/1.5 = 20 MPa

wd = 0,092 > 0.08 ‐> Satisfied! bo

04-structure technical report for 135

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