Calculation of Positive Design Flexural - Purdue Universityjliu/courses/CE591/... · Metal Deck,...

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CE591 Lecture 10: Composite Beams; Shear Connectors; Metal Decking Metal Deck, Shear Connectors Shear Studs and Metal Deck Capacity, Q n Limits on Spacing, etc. Calculation of Positive Design Flexural Strength

Transcript of Calculation of Positive Design Flexural - Purdue Universityjliu/courses/CE591/... · Metal Deck,...

Page 1: Calculation of Positive Design Flexural - Purdue Universityjliu/courses/CE591/... · Metal Deck, Shear Connectors ... Calculation of Positive Design Flexural Strength . Metal Deck

CE591 Lecture 10: Composite Beams;

Shear Connectors; Metal Decking

Metal Deck, Shear Connectors

Shear Studs and Metal Deck

Capacity, Qn

Limits on Spacing, etc.

Calculation of Positive Design Flexural

Strength

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Metal Deck

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Thickness – 16 to 22 gage (~0.064” to ~0.034”)

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Puddle welds

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Wang Hall, Purdue University

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AISC I3.2c – steel deck shall be anchored to all

supporting members at a spacing not to exceed 18” (can

be from combination of shear studs and puddle welds)

Deck

manufacturers

may specify

placement

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“Button-punching” deck

http://www.vercodeck.com/index.php?option=com_content&view=article&id=267&Itemid=875

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Shear Connectors

From Geschwindner, Unified Design of Steel Structures, 2nd ed.

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Shear studs (steel headed stud

anchor) and ferrules

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Typically

3/4” or 7/8”

diameter

(3/4” required with

metal deck)

Height ~ 2” – 8”

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Placing shear studs

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Welded wire fabric (WWF)

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Welded wire fabric

W1.4 x 1.4

6 x 6

Spacing (inches)

diameter of

wire, 10 gage,

d ~ 1/8”

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May add reinforcement across girders

AISC C-I3.2 – “where … longitudinal cracking detrimental

to serviceability is likely to occur, slab should be

reinforced transverse to the supporting steel section ...”

cr AA 002.0

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Shear Studs and Metal Deck

Ribs parallel to axis of beam Ribs perpendicular to

axis of beam

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Composite Floor System Design Techniques, 2013 NASCC

Will Jacobs, Sam Easterling

media.aisc.org/NASCC2013/N14a.mp4

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Ideally – rigid, no slip

Reality – stud can

deform, concrete

crushes, get some slip

Q

d

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Strength of stud connectors for

composite beams

usapgccsan FARREfAQ '5.0

75.0

0.1

p

g

R

RNo metal deck?

Eq. (I8-1)

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(Easterling, 2007)

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wr

Hs hr

Hs =length of stud after welding

Hs ≥ hr + 1-1/2”

AISC I3.2c and I8.2

Hs ≥ 4ds

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From AISC-LRFD 3rd edition

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AISC Predicted Strength, QN

Ex

pe

rim

en

tal S

tud

Str

en

gth

, Q

e

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(Easterling, 2007)

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(Easterling, 2007)

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(Easterling, 2007)

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5.1r

r

h

w*0.85 if thru deck and ; 1.0 if 5.1

r

r

h

w

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Rp = 0.75

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ine htmid 2 ine htmid 2

Rp= 0.75 Rp= 0.6

emid-ht = distance from edge of stud shank to steel deck

web, measured at mid-height of the deck rib, and in the

load bearing direction (i.e. direction of max moment for

simply supported beam

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AISC

[16.1-98]

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(Easterling, 2007)

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(Easterling, 2007)

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Composite Floor System Design Techniques, 2013 NASCC

Will Jacobs, Sam Easterling

media.aisc.org/NASCC2013/N14a.mp4

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Limits

wr ≥ 2”

Hs ≤3”

≥2” ≥1-1/2” ≥ ½”

AISC I3.2c – ds ≤ ¾” (based on test results)

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wr ≥ 2” For one stud,

+ 4ds for each

additional stud

When nominal

hr ≥1-1/2”

(AISC I3.2c)

Deck rib permitted

to be split

longitudinally and

separated to form a

concrete haunch

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Limits, cont’d.

≥4 ds

2 ds (recommended)

≥6 ds (in general)

≥4 ds (for ribs perpendicular to beam)

≤ 8 ts and ≤36”

(in any direction)

5½” minimum flange width for 2 rows of studs (for ¾” stud)

8½” minimum flange width for 3 rows of studs (for ¾” stud)

AISC I8.2d

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Limits, cont’d.

fs td 5.2Unless stud placed over web

AISC I8.1

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Limits, cont’d.

AISC I8.2d

Lateral cover of 1”

for shear

connectors,

except in ribs of

formed steel decks

≥1/2” req’d, ~1” typ.

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Calculation of fMn

Ribs perpendicular to

axis of beam

AISC I3.2c

Concrete below top of

deck (in ribs) shall be

neglected for section

properties and

calculation of Ac

(strength, etc.)

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Calculation of fMn

Ribs parallel to axis of beam

AISC I3.2c

Concrete below top of

deck (in ribs) is

permitted be included

for section properties

(Ix)

and SHALL be

included in calculation

of Ac (strength)

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Lateral bracing during construction

(concrete placement)

With puddle welds / studs / combination at

no more than 18” o.c.

Beams are fully laterally braced

Girders are perhaps not braced by the

deck

Depends on girder – filler beam detail

Recommend using filler beam spacing as

unbraced length at construction stage

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Composite Floor System Design Techniques, 2013 NASCC

Will Jacobs, Sam Easterling

media.aisc.org/NASCC2013/N14a.mp4