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1 Page 1 CEEN 3304 Concrete Design One-way slabs Francisco Aguíñiga Assistant Professor Civil and Architectural Engineering Program Texas A&M University – Kingsville Page 2 Slab types

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Page 1: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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CEEN 3304 Concrete Design

One-way slabs

Francisco AguíñigaAssistant Professor

Civil and Architectural Engineering ProgramTexas A&M University – Kingsville

Page 2

Slab types

Page 2: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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Slab types

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Slab types

Page 3: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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One-way slab behavior

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Two-way slab deformation

Page 4: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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Two-way slab deformation

If ll/ls = 2 ws = 16 wl

EIlw ll

l 3845 4

=ΔEIlw ss

S 3845 4

4

⎟⎟⎠

⎞⎜⎜⎝

⎛=

s

l

l

s

ll

ww

Page 8

Slab reinforcement

Main reinforcementUsed to resist moment

Shrinkage and temperature reinforcement

Used to prevent cracking due to contraction of the concrete resulting from shrinkage and temperature changes

Page 5: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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Slab reinforcement

Minimum reinforcementShrinkage and temperatureFor fy = 40 to 50 ksi As(S&T) = 0.002bhFor fy = 60 ksi As(S&T) = 0.0018bhFor fy > 60 ksi As(S&T) = (0.0018x60xbh)/fy >= 0.0014bhb = 12 in. (1 foot wide strip)h = Slab thickness (in.)

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Minimum cover

ACI 7.7.71 (if not exposed to weather or in contact with soil)

¾ in. for # 11 and smaller1.5 in. for # 14 and # 18 bars

Page 6: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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Maximum spacing

Main reinforcementACI 10.5.4S < smaller of (3 h or 18 in.)ACI 10.6.4

Using min cover of ¾ in. and fs = 2/3fy=2/3(60000) = 40,000 psiS = 12 in.

Shrinkage and Temp. reinforcementACI 7.12.2.2Smax (S&T) = min(5h or 18 in.)

⎟⎟⎠

⎞⎜⎜⎝

⎛≤−⎟⎟

⎞⎜⎜⎝

⎛=

sc

s fc

fs 40000125.24000015

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Example

Page 7: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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Example

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Example

Page 8: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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Example

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Design example

Determine the reinforcement at midspan and at the supports

Page 9: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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Design example

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Design example

#6

Page 10: CEEN 3304 T4 One-way slab - tamuk.eduusers.tamuk.edu/kfgfa00/CEEN 3304/Lectures/CEEN 3304 T4 One-way... · One-way slabs Francisco Aguíñiga ... One-way slab behavior Page 6 Two-way

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Design example

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Design example

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Design example

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Design example

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Design example

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Design example