More Related Content More from StroNGER2012 (20) Erdogmus sapienza-may20152. ,ŝ^ Z͗ ,ŝƐƚŽƌŝĐĂů ^ƚƌƵĐƚƵƌĞƐ͛ ƐƐĞƐƐŵĞŶƚ Θ ZĞŚĂďŝůŝƚĂƚŝŽŶ
• EŽŶͲĚĞƐƚƌƵĐƚŝǀĞ ĞǀĂůƵĂƚŝŽŶ ;EͿ ŽĨ
,ŝƐƚŽƌŝĐĂů ^ƚƌƵĐƚƵƌĞƐ͗
• džƉĞƌŝŵĞŶƚĂů DŽĚĂů ŶĂůLJƐŝƐ͕
• 'ƌŽƵŶĚ WĞŶĞƚƌĂƚŝŶŐ ZĂĚĂƌ ;'WZͿ͕
• /ŵƉĂĐƚ ĐŚŽ ;/Ϳ͕
• ŝďĞƌƐĐŽƉĞ ŽƌĞƐĐŽƉLJ͕ /ŶĨƌĂƌĞĚ͕
• hůƚƌĂƐŽŶŝĐ dĞƐƚŝŶŐ
• džƉĞƌŝŵĞŶƚĂůůLJ sĂůŝĚĂƚĞĚ ŝŶŝƚĞ ůĞŵĞŶƚ
DŽĚĞůŝŶŐ ;DͿ ŽĨ ĐŽŵƉůĞdž ŵĂƐŽŶƌLJ ƐƚƌƵĐƚƵƌĞƐ
• ŝďĞƌͲƌĞŝŶĨŽƌĐĞĚ ĐĞŵĞŶƚƐ ;ZͿ ĨŽƌ
ŵĂƐŽŶƌLJ ĂŶĚ ĐŽŶĐƌĞƚĞ ƌĞƚƌŽĨŝƚ
ĂƉƉůŝĐĂƚŝŽŶƐ
Ϯ
NC_ACol4_Heel Drop
FRF_Real Plot
0.00E+00
5.00E-07
1.00E-06
1.50E-06
2.00E-06
2.50E-06
3.00E-06
3.50E-06
4.00E-06
4.50E-06
0 5 10 15 20 25 30 35 40 45 50
Frequency (Hz)
Mag(g/N)
A1
A2
A3
A4
A5
A6
A7
ϭ
Ϯ
3. ϯ
,ŝ^ Z͗ ,ŝƐƚŽƌŝĐĂů ^ƚƌƵĐƚƵƌĞƐ͛ ƐƐĞƐƐŵĞŶƚ Θ ZĞŚĂďŝůŝƚĂƚŝŽŶ
• dLJƉĞƐ ŽĨ ŚŝƐƚŽƌŝĐĂů ƐƚƌƵĐƚƵƌĞƐ͗
• ƌĐŚĞŽůŽŐŝĐĂů ^ŝƚĞƐ͕ ŶĐŝĞŶƚ ZŽŵĂŶ ^ƚƌƵĐƚƵƌĞƐ ;dŚĞ
ĨĂŵŽƵƐ ͞dĞŵƉůĞ͟ WƌŽũĞĐƚͿ
• 'ŽƚŚŝĐ ĂƚŚĞĚƌĂůƐ ;EĂƚŝŽŶĂů ĂƚŚĞĚƌĂů ŝŶ ͕ /ƚĂůŝĂŶ ĂŶĚ
ƌĞŶĐŚ ĐĂƚŚĞĚƌĂůƐ͕ /ŐůĞƐŝĂ ^ĂŶ :ŽƐĞ ŝŶ WƵĞƌƚŽ ZŝĐŽͿ
• 'ƵĂƐƚĂǀŝŶŽ ŽŵĞƐ ĂŶĚ sĂƵůƚƐ ;EĞďƌĂƐŬĂ ^ƚĂƚĞ ĂƉŝƚŽůͿ
• DĂƐŽŶƌLJ ĂŶĚ ŽŶĐƌĞƚĞ ,ŝƐƚŽƌŝĐ ƌĐŚ ƌŝĚŐĞƐ ŝŶ h͘^͘
5. ϱ
1) Seismic
accelerometers placed on
the structure collect data
0 2 4 6 8 10 12 14 16
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
w-Frequency (Hz)
MagH(in/k)
4) Modal analysis and determination of the
characteristics of the structure
1/c
1/k
5) FEM
updating and
verification of
mechanical
properties
2) System
excited
3) Dynamic signal analyzer processes
data
6. ϲ
DĞƚŚŽĚ ĂƉƉůŝĞĚ ŽŶ ǀĂƌŝŽƵƐ ŚŝƐƚŽƌŝĐĂů ƐƚƌƵĐƚƵƌĞƐ͗ 'ŽƚŚŝĐ
National Cathedral, U.S.
7
6
5
A4
3
2
1
Col
1
Col
4
Col
7
NC_ACol4_Heel Drop
FRF_Real Plot
0.00E+00
5.00E-07
1.00E-06
1.50E-06
2.00E-06
2.50E-06
3.00E-06
3.50E-06
4.00E-06
4.50E-06
0 5 10 15 20 25 30 35 40 45 50
Frequency (Hz)
Mag(g/N)
A1
A2
A3
A4
A5
A6
A7
7. ϳ
Cathedral in Auxerre, France Santa Maria Novella,
Florence, Italy
000000000
000000000
000000
00
0000
000000000
00000000
00
00
0000000000000000000000
000000
00000000000000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000000
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000
0000
00
00
00000000000000
00
0000
00
0000000000000000000
00
000000
000
0000
00
000000000000
00
00
000000
000
000
000000
000
0000
00
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
AUX Hammer Impact on Nave5
FRF from sensors on Nave 4, 5 6
0.00E+00
1.00E-06
2.00E-06
3.00E-06
4.00E-06
5.00E-06
6.00E-06
0 5 10 15 20 25 30 35 40 45 50
Frequency (Hz)
Mag(g/N)
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
N4
N5
N6
000000000000000000COH N5
DĞƚŚŽĚ ĂƉƉůŝĞĚ ŽŶ ǀĂƌŝŽƵƐ ŚŝƐƚŽƌŝĐĂů ƐƚƌƵĐƚƵƌĞƐ͗ 'ŽƚŚŝĐ
8. ϴ
• ĂƚĞ͗ ϭϵϬϬ͛Ɛ
• WůĂĐĞ͗ ŝŶĐŽůŶ͕ EĞďƌĂƐŬĂ
• DĂƐƚĞƌ͗ 'ƵĂƐƚĂǀŝŶŽ͕ :ƌ͘
DĞƚŚŽĚ ĂƉƉůŝĞĚ ŽŶ ǀĂƌŝŽƵƐ ŚŝƐƚŽƌŝĐĂů ƐƚƌƵĐƚƵƌĞƐ͗
'ƵĂƐƚĂǀŝŶŽ
11. ZƵŝŶŽƵƐ ĂŶĐŝĞŶƚ
ZŽŵĂŶ ĐŝƚLJ ŽĨ ŶƚŝŽĐŚ
ĂĚ ƌĂŐƵŵ ŝŶ ƉƌĞƐĞŶƚ
ĚĂLJ 'ĂnjŝƉĂƐĂ͕ dƵƌŬĞLJ
ϭϭ
/ŵƉĞƌŝĂů dĞŵƉůĞ
ŽůŽŶŶĂĚĞĚ
^ƚƌĞĞƚ
'ƌĞĂƚ ĂƚŚ
'LJŵŶĂƐŝƵŵͬWŽŽů
/ŶǀĞƐƚŝŐĂƚŝŽŶ ŽĨ ĂŶ ŶĐŝĞŶƚ ZŽŵĂŶ ŝƚLJ ŝŶ
dƵƌŬĞLJ
12. dŚĞ dĞĂŵ
• /ŶƚĞƌĚŝƐĐŝƉůŝŶĂƌLJ ƉƌŽũĞĐƚ ďĞŐĂŶ ŝŶ ϮϬϬϱ
• ƌ͘ ĐĞ ƌĚŽŐŵƵƐ͕ hE͗ ƌĐŚŝƚĞĐƚƵƌĂů
ŶŐŝŶĞĞƌŝŶŐ
• ƌ͘ DŝĐŚĂĞů ,ŽĨĨ͕ hE͗ ƌĐŚĂĞŽůŽŐLJͬ ƌƚ ,ŝƐƚŽƌLJ
• ƌ͘ ZŚLJƐ dŽǁŶƐĞŶĚ͕ ůĂƌŬ hŶŝǀĞƌƐŝƚLJ͗ 'ƌĞĞŬ
ƌĐŚŝƚĞĐƚƵƌĞ Θ ůĂƐƐŝĐƐ
• ƌ͘ ŝƌŽů ĂŶ ;ϮϬϭϭͲƉƌĞƐĞŶƚͿ͕ ƌnjƵƌƵŵ ƚĂƚƵƌŬ
hŶŝǀĞƌƐŝƚLJ͕ dƵƌŬĞLJ͗ ƌĐŚĞŽůŽŐLJ
• :ŽƐŚƵĂ ƌĞĞĚůĂŶĚ͕ t: Θ ;EĞǁ͊Ϳ ƌĂŶŬ DĂƚĞƌŽ͕
hWĞŶŶ͗ ŽŶƐĞƌǀĂƚŝŽŶ
ϭϮ
dƌƵůLJ ŝŶƚĞƌĚŝƐĐŝƉůŝŶĂƌLJ ĨƌŽŵ ƚŚĞ
ƐƚĂƌƚ ŽĨ ƚŚĞ ƉƌŽũĞĐƚ͊
ŽŶƐĞƌǀĂƚŝŽŶ
15. /ŵƉĞƌŝĂů dĞŵƉůĞ͗ WƌŽũĞĐƚ 'ŽĂůƐ
• dŽ ƉĂƌƚŝĂůůLJ ƌĞĐŽŶƐƚƌƵĐƚ ƚŚĞ ƚĞŵƉůĞ ƚŽ ƐŚŽǁͲ
ĐĂƐĞ ŝƚƐ ŽƌŝŐŝŶĂů ĚĞƐŝŐŶ
• dŽ ĞƐƚĂďůŝƐŚ Ă ǁĞůůͲĚŽĐƵŵĞŶƚĞĚ ƉƌŽĐĞƐƐ ĨŽƌ
ƐƵĐŚ ĂŶ ĞdžƚĞŶƐŝǀĞ Θ ƵŶŝƋƵĞůLJ
ŝŶƚĞƌĚŝƐĐŝƉůŝŶĂƌLJ ƌĞĐŽŶƐƚƌƵĐƚŝŽŶ ƉƌŽũĞĐƚ
͞ ƌĐŚĞŽůŽŐŝĐĂů ŶŐŝŶĞĞƌŝŶŐ͟
ϭϱ
17. DĂƚĞƌŝĂů ŚĂƌĂĐƚĞƌŝƐƚŝĐƐ͗
WĞƚƌŽŐƌĂƉŚŝĐ ŶĂůLJƐĞƐ
• ϴ ƐĂŵƉůĞƐ ĂƌĞ ĂŶĂůLJnjĞĚ
• DĂƚĞƌŝĂů ŝƐ ĚĞŶƐĞ ŵĂƌďůĞ ;ŵĞƚĂŵŽƌƉŚŽƐĞĚ
ůŝŵĞƐƚŽŶĞͿ
• ϯ ǀĂƌŝĞƚŝĞƐ ĂƌĞ ŝĚĞŶƚŝĨŝĞĚ
• dƌĂĐĞ ĂŵŽƵŶƚƐ ŽĨ ƉLJƌŝƚĞ ;ŝƌŽŶ ƐƵůĨŝĚĞͿ
ĐƌLJƐƚĂůƐ ƐŝŵŝůĂƌ ŝŶ ƐŝnjĞ ƚŽ ƚŚĞ ĐĂůĐŝƚĞ ĐƌLJƐƚĂůƐ
ǁĞƌĞ ĂůƐŽ ŽďƐĞƌǀĞĚ͘
ϭϳ
dŚŝŶͲƐĞĐƚŝŽŶ
ŵŝĐƌŽŐƌĂƉŚ ƐŚŽǁŝŶŐ
ƚŚĞ ƚĞdžƚƵƌĞ ŽĨ ƚŚĞ
ŵĂƌďůĞ ƵŶĚĞƌ ĐƌŽƐƐͲ
ƉŽůĂƌŝnjĞĚ ůŝŐŚƚ͘
18. DĂƚĞƌŝĂů dĞƐƚŝŶŐ
• ŽŵƉƌĞƐƐŝŽŶ ƚĞƐƚŝŶŐ ŽĨ ŵĂƌďůĞ
• DĂƌďůĞ ĨƌŽŵ ƐŝƚĞ ĂŶĚ ĨƌŽŵ Ă ŶĞĂƌďLJ ƋƵĂƌƌLJ
ϭϴ
^ŽƵƌĐĞ
hůƚŝŵĂƚĞ ŽŵƉƌĞƐƐŝǀĞ ^ƚƌĞƐƐ
;ı
¡
Ϳ
DŽĚƵůƵƐ ŽĨ ůĂƐƚŝĐŝƚLJ
;Ϳ
ƉƐŝ DWĂ ƉƐŝ DWĂ
ĂŵďĂƐ ;ϭϵϵϮͿ ϭϭ͕ϮϴϬ ϳϳ͘ϴ ϯ͕ϯϯϲ͕ϬϬϬ Ϯϯ͕ϬϬϬ
ŽƵƌŬŽƵůŝƐ Θ WĂƐŝŽƵ ;ϮϬϬϵͿ ϳ͕ϵϴϬͲϭϭ͕ϲϬϬ ϱϬͲϴϬ ϳ͕ϮϱϮ͕ϬϬϬ Ͳ ϭϮ͕Ϯϱϲ͕ϬϬϬ ϱϬ͕ϬϬϬ Ͳ ϴϰ͕ϱϬϬ
ĞĞƌ Ğƚ͘Ăů͘ ;ϮϬϬϵͿ ϭϴ͕ϬϬϬ ϭϮϰ ϴ͕ϬϬϬ͕ϬϬϬ ϱϱ͕ϭϳϬ
ŽƵƌŬŽƵůŝƐ Ğƚ Ăů͘ ;ϮϬϭϬͿ Ͳ Ͳ ϭϭ͕ϲϬϯ͕ϬϬϬ ϴϬ͕ϬϬϬ
ŽƵƌŬŽƵůŝƐ ĂŶĚ WĂƐŝŽƵ ;ϮϬϭϱͿ Ͳ Ͳ ϭϬ͕ϵϮϭ͕ϬϬϬ ϳϱ͕ϯϬϬ
dĞŵƉůĞ ŽĨ ŶƚŝŽĐŚ DĂƌďůĞ ϭϮ͕ϬϴϬ ϴϯ͘ϯ ϱ͕ϮϬϯ͕ϬϬϬ ϯϱ͕ϴϳϬ
YƵĂƌƌLJ DĂƌďůĞ ϵ͕ϳϳϬ ϲϳ͘ϰ ϴ͕ϳϴϬ͕ϬϬϬ ϲϬ͕ϱϬϬ
21. džƚĞƌŶĂů ZĂƚŝŶŐ ĨŽƌ DĂƌďůĞ ůŽĐŬƐ
• ǀĞƌĂŐĞ ĐĞůůĂ ďůŽĐŬ
ĚŝŵĞŶƐŝŽŶƐ͗ ϭ͘ϱϰ ŵ dž Ϭ͘ϱϯ
ŵ dž Ϭ͘ϱϭ ŵ
Ϯϭ
džƚĞƌŶĂů
ŽŶĚŝƚŝŽŶ
ZĂƚŝŶŐ
ĞƐĐƌŝƉƚŝŽŶ ůŽĐŬƐ
ϭ
EŽ ŵŝƐƐŝŶŐ ƉĂƌƚƐ͕ ŵŝŶŝŵĂů ĐŚŝƉƉŝŶŐ
Ăƚ ĐŽƌŶĞƌƐ͘ ŶLJ ĐƌĂĐŬƐ ĂƌĞ ƚŚŝŶ ĂŶĚ
ďĂƌĞůLJ ǀŝƐŝďůĞ͘
EĞǁ ŵĂƌďůĞ
ďůŽĐŬƐ
Ϯ
^ŽŵĞ ŵŝƐƐŝŶŐ ƉĂƌƚƐ͕ ďƵƚ ůĞƐƐ ƚŚĂŶ
ϭϬй ŽĨ ƚŚĞ ďůŽĐŬ͘ ^ŽŵĞ ƐƵƌĨĂĐĞ
ĐƌĂĐŬƐ͘
dϬϭϭ͕ dϬϲϱ͕
dϬϳϭ͕ dϱϱϵ
ϯ
WƌĞƐĞŶĐĞ ŽĨ ŵŝƐƐŝŶŐ ƉĂƌƚƐ ;ϭϬй Žƌ
ŵŽƌĞͿ ĂŶĚͬŽƌ ƐĞǀĞƌĞ͕ ĚĞĞƉ
ƐƚƌƵĐƚƵƌĂů ĐƌĂĐŬƐ͘
dϬϲϴ͕ dϬϭϰ /ŶƚĞƌŶĂů ǀŽŝĚƐ͍
22. /ŵƉĂĐƚͲĐŚŽ EŽŶĚĞƐƚƌƵĐƚŝǀĞ
dĞƐƚŝŶŐ
• ĂĐŬŐƌŽƵŶĚ ŽŶ DĞƚŚŽĚ
• ĞǀĞůŽƉĞĚ ŝŶ ϭϵϴϬ͛Ɛ͘
• ǀĂůƵĂƚŝŽŶ ŽĨ ŝŶƚĞƌŶĂů ĐŽŶĚŝƚŝŽŶ ŽĨ ƐƚƌƵĐƚƵƌĂů
ĐŽŵƉŽŶĞŶƚƐ
• ч ϯ͘ϭй ĞƌƌŽƌ ĨŽƌ ƚŚŝĐŬŶĞƐƐ ŵĞĂƐƵƌĞŵĞŶƚƐ ŽĨ Ϭ͘Ϯ ŵͲƚŚŝĐŬ
ƉĂǀĞŵĞŶƚ ;^ĂŶƐĂůŽŶĞ ϭϵϵϳͿ͘
• dĞŵƉůĞ WƌŽũĞĐƚ
• Ăď ǀĂůŝĚĂƚŝŽŶ Θ ŝŶ ƐŝƚƵ ƚĞƐƚŝŶŐ͗ ϮϬϭϭͲƉƌĞƐĞŶƚ
• hƐĞĚ ĨŽƌ ĂƐƐĞƐƐŵĞŶƚ ŽĨ ŝŶƚĞƌŝŽƌ ĐŽŶĚŝƚŝŽŶ ŽĨ ĞdžĐĂǀĂƚĞĚ
ƚĞŵƉůĞ ďůŽĐŬƐ
ϮϮ
24. Ăď sĂůŝĚĂƚŝŽŶ
• ĂƐƚ ŵŽƌƚĂƌ ďůŽĐŬƐ͗
Ϭ͘ϴϱ ŵ dž Ϭ͘ϯϲ ŵ dž Ϭ͘ϯϰ ŵ
Ϯϰ
Block
Block
Face
Tested
Percent
Error
Relative Amplitude
(relative to amplitude
of 3rd or 4th mode)
8.89 cm x
8.89 cm
square
void
Top
4.
6
%
5.2%
1.38
1.08
1.14
Side
5.
8
%
0.78
8.89 cm
diameter
void
Top
2.
0
%
2.2%
1.07
1.09
Side
2.
4
%
1.11
3.81 cm x
3.81 cm
square
void
Top
1.
4
%
2.3%
0.68
1.24
Side
3.
2
%
1.80
25. džĂŵƉůĞƐ ŽĨ DĂƌďůĞ ůŽĐŬ ZĞƐƵůƚƐ
Ϯϱ
Block AT068, External
Condition Rating = 3
Block AT071, External
Condition Rating = 2
New marble block,
External Condition
Rating = 1
AT014, External
Condition Rating = 3
26. WƌĞƐĞƌǀĂƚŝŽŶ ŽĨ ůŽĐŬƐ
• ůŽĐŬ ĐůĞĂŶŝŶŐ ƉƌŽĐĞƐƐ
• dŚƌŽƵŐŚ ĐŽŶĚŝƚŝŽŶ ĂƐƐĞƐƐŵĞŶƚ͕ ůŝĐŚĞŶ ĂŶĚ ĂůŐĂĞ ĂƌĞ ŵŽƐƚ ĐŽŵŵŽŶ ĨŽƌŵƐ
ŽĨ ĚĞƚĞƌŝŽƌĂƚŝŽŶ ŽŶ ƐŝƚĞ
• ůŽĐŬƐ ǁĞƌĞ ƐƵďũĞĐƚ ƚŽ ǀĂƌŝŽƵƐ ƉĂƚƚĞƌŶƐ ŽĨ ŚĞĂƚ ƚƌĞĂƚŵĞŶƚ ĂŶĚ ĐůĞĂŶŝŶŐ
Ϯϲ
^ƵĐĐĞƐƐĨƵů ĐůĞĂŶŝŶŐ ƚƌĞĂƚŵĞŶƚ hŶƐƵĐĐĞƐƐĨƵů ĐůĞĂŶŝŶŐ ƚƌĞĂƚŵĞŶƚ
33. EĞǁ͗ /ŐůĞƐŝĂ ^ĂŶ :ŽƐĞ ;/^:Ϳ͕ WƵĞƌƚŽ
ZŝĐŽ
• ϭϲƚŚͲĐĞŶƚƵƌLJ ^ƉĂŶŝƐŚ 'ŽƚŚŝĐ ĂƌĐŚŝƚĞĐƚƵƌĞ
• ŽŶƐƚƌƵĐƚŝŽŶ͗ ϭϱϯϮ ƚŽ ϭϳϯϱ ďLJ ƚŚĞ ŽŵŝŶŝĐĂŶ KƌĚĞƌ
ϯϯ
WůĂŶŶĞĚ ƐƐĞƐƐŵĞŶƚ͗
•džƉĞƌŝŵĞŶƚĂů DŽĚĂů
ŶĂůLJƐŝƐ ;D Ϳ
•ŝŶŝƚĞ ůĞŵĞŶƚ
DŽĚĞůŝŶŐ ;DͿ
34. • hŶŝƋƵĞ ĂŶĚ ĐŽŵƉůĞdž ƐƚƌƵĐƚƵƌĞ
ϯϰ
EĞǁ͗ ^ĂŶ :ŽƐĞ /ŐůĞƐŝĂ͕ WƵĞƌƚŽ ZŝĐŽ
35. džƉĞƌŝŵĞŶƚĂů DŽĚĂů ŶĂůLJƐŝƐ Θ
D
• ZĞƐĞĂƌĐŚ ŝŶ ƉƌŽŐƌĞƐƐ͗ ϭͿ /ŶͲƐŝƚƵ ĂƐƐĞƐƐŵĞŶƚ ĚŽŶ Ăƚ
ϯ ůŽĐĂƚŝŽŶƐ͘ ϮͿ DͬD ŝŶ ƉƌŽŐƌĞƐƐ͘ ϯͿ WƌĞůŝŵŝŶĂƌLJ
ƌĞƉŽƌƚ ƐƵďŵŝƚƚĞĚ
ϯϱ
36. džƉĞƌŝŵĞŶƚĂů DŽĚĂů ŶĂůLJƐŝƐ Θ
D
• ZĞƐĞĂƌĐŚ ŝŶ ƉƌŽŐƌĞƐƐ͗ ϭͿ /ŶͲƐŝƚƵ ĂƐƐĞƐƐŵĞŶƚ ĚŽŶ Ăƚ
ϯ ůŽĐĂƚŝŽŶƐ͘ ϮͿ DͬD ŝŶ ƉƌŽŐƌĞƐƐ͘ ϯͿ WƌĞůŝŵŝŶĂƌLJ
ƌĞƉŽƌƚ ƐƵďŵŝƚƚĞĚ
ϯϲ
37. džƉĞƌŝŵĞŶƚĂů DŽĚĂů ŶĂůLJƐŝƐ Θ
D
• ZĞƐĞĂƌĐŚ ŝŶ ƉƌŽŐƌĞƐƐ͗ ϭͿ /ŶͲƐŝƚƵ ĂƐƐĞƐƐŵĞŶƚ ĚŽŶ Ăƚ
ϯ ůŽĐĂƚŝŽŶƐ͘ ϮͿ DͬD ŝŶ ƉƌŽŐƌĞƐƐ͘ ϯͿ WƌĞůŝŵŝŶĂƌLJ
ƌĞƉŽƌƚ ƐƵďŵŝƚƚĞĚ
ϯϳ
38. džƉĞƌŝŵĞŶƚĂů DŽĚĂů ŶĂůLJƐŝƐ Θ
D
• DĂŝŶ ǀĂƵůƚ͗ ƵŶĚĂŵĞŶƚĂů ĨƌĞƋƵĞŶĐLJ ŵĂƚĐŚ Ăƚ Ϯϴ ,nj
ďĞƚǁĞĞŶ D ĂŶĚ D͕ ƵƐŝŶŐ ǀĂůŝĚĂƚĞĚ /ŶĚŝĂŶĂ
ŝŵĞƐƚŽŶĞ ƉƌŽƉĞƌƚŝĞƐ
ϯϴ
39. ϯϵ
D Θ D͗ DĂŝŶ sĂƵůƚ
EŽƌƚŚ ,ĂůĨ ;ůĞĨƚͿ ĂŶĚ ^ŽƵƚŚ ŚĂůĨ ;ƌŝŐŚƚͿ ƉƌĞƐĞŶƚ ĚŝĨĨĞƌĞŶĐĞƐ ĚƵĞ ƚŽ ǀĂƌLJŝŶŐ
ĐŽŶĚŝƚŝŽŶ ĂŶĚ ŝŶƐƵůĂƚŝŽŶ͘ ƵƌƚŚĞƌ ƌĞĨŝŶĞŵĞŶƚƐ ŶĞĞĚĞĚ͘
42. ϰϮ
ZĞŚĂďŝůŝƚĂƚŝŽŶ͗ ŝďĞƌ ZĞŝŶĨŽƌĐĞĚ DŽƌƚĂƌ
^ƵĐĐĞƐƐĨƵů ƌĞŚĂďŝůŝƚĂƚŝŽŶ
DĂƚĞƌŝĂů ĐŽŵƉĂƚŝďŝůŝƚLJ
ZĞƉĂŝƌ ĚƵƌĂďŝůŝƚLJ
ŽŶŐͲƚĞƌŵ ŵĂŝŶƚĞŶĂŶĐĞ
ŝďĞƌ dLJƉĞƐ
^ƚĞĞů
'ůĂƐƐ
^LJŶƚŚĞƚŝĐ
KƌŐĂŶŝĐ
43. ϰϯ
DĂĐƌŽ ĨŝďĞƌƐ
Ϭ͘ϱ ƚŽ Ϯ͘ϱ ŝŶĐŚĞƐ
DŝĐƌŽ ĨŝďĞƌƐ
ĞƐƐ ƚŚĂŶ Ϭ͘ϱ ŝŶĐŚĞƐ
ŝĂŵĞƚĞƌ ǀĂƌŝĞƐ
ZĞŚĂďŝůŝƚĂƚŝŽŶ͗ ŝďĞƌ ZĞŝŶĨŽƌĐĞĚ DŽƌƚĂƌ
44. ŝďĞƌͲƌĞŝŶĨŽƌĐĞĚ ŵŽƌƚĂƌ͗ WŝůŽƚ
ϰϰ
DŽƌƚĂƌ ŵŝdž
WƌĞͲďůĞŶĚĞĚ WŽƌƚůĂŶĚ ĐĞŵĞŶƚ͕ ůŝŵĞ͕ ĂŶĚ ƐĂŶĚ
^dD ϮϳϬ W dLJƉĞ E ŵŽƌƚĂƌ
ZĞŝŶĨŽƌĐŝŶŐ ĨŝďĞƌƐ
WŽůLJǀŝŶLJů ĂůĐŽŚŽů ;Ws Ϳ
,ŝŐŚ ͕ ƚĞŶƐŝůĞ ƐƚƌĞŶŐƚŚ͕ ďŽŶĚ ƐƚƌĞŶŐƚŚ
ůŬĂůŝ ƌĞƐŝƐƚĂŶƚ
46. ϰϲ
WƵďůŝƐŚĞĚΎ ZĞƐƵůƚƐ
Ύ^ŬŽƵƌƵƉ͕ ͘ E͕͘ ĂŶĚ ƌĚŽŐŵƵƐ͕ ͘ ;ϮϬϭϬͿ͘ ͞DĞĐŚĂŶŝĐĂů ŚĂƌĂĐƚĞƌŝƐƚŝĐƐ ŽĨ Ws ŝďĞƌͲ
ZĞŝŶĨŽƌĐĞĚ W DŽƌƚĂƌƐ ĨŽƌ DĂƐŽŶƌLJ ƉƉůŝĐĂƚŝŽŶƐ͟ / DĂƚĞƌŝĂůƐ :ŽƵƌŶĂů͕ sŽů͘ ϭϬϳ͕
:ĂŶƵĂƌLJͲ ĞďƌƵĂƌLJ ϮϬϭϬ͕ EŽ͘ϭ͕͘ ƉƉ ϭͲ ϵ͕ / ƉƵďůŝĐĂƚŝŽŶƐ͘
47. ϰϳ
ŝďĞƌͲƌĞŝŶĨŽƌĐĞĚ ŵŽƌƚĂƌ͗ ĂƌŐĞƌ
ĞdžƉĞƌŝŵĞŶƚĂů ƉƌŽŐƌĂŵ ;EWdd ĨƵŶĚĞĚͿ
ƌŝĐŬ dLJƉĞƐ͗
•^ƚĂŶĚĂƌĚ ůĂLJ ƌŝĐŬƐ
•^ƚĂŶĚĂƌĚ ŽŶĐƌĞƚĞ ƌŝĐŬƐ
ŝŶĚĞƌ dLJƉĞƐ͗
•dLJƉĞ E WŽƌƚůĂŶĚ ŝŵĞ ĂŶĚ ^ĂŶĚ WͲ
Ϭϭ
•EĂƚƵƌĂů ,LJĚƌĂƚĞĚ ŝŵĞ ;E,Ϳ ϯ͘ϱt
;ƌĂƚŝŽƐ͗ ϭ͗Ϯ͘ϱ Θ ϭ͗ϯͿ
•EĂƚƵƌĂů ,LJĚƌĂƚĞĚ ŝŵĞ ;E,Ϳ ϱt
;ƌĂƚŝŽƐ͗ ϭ͗Ϯ͘ϱ Θ ϭ͗ϯͿ
;^ĂŶĚ ƵƐĞĚ ǁŝƚŚ ƚŚĞ E, ŝƐ ĂƉƉƌŽǀĞĚ
ĂĐĐŽƌĚŝŶŐ ƚŽ ^dD ϭϰϰͲϬϯͿ
48. ϰϴ
ŝďĞƌͲƌĞŝŶĨŽƌĐĞĚ ŵŽƌƚĂƌ͗ ĂƌŐĞƌ
ĞdžƉĞƌŝŵĞŶƚĂů ƉƌŽŐƌĂŵ ;EWdd ĨƵŶĚĞĚͿ
ŝďĞƌ dLJƉĞƐ͗
;EŽƚĞͲ ůů ĨŝďĞƌƐ ƚĞƐƚĞĚ Ăƚ ͘Ϯϱй ĂŶĚ ͘ϱϬй ďLJ
ǀŽůƵŵĞ ŽĨ ŵŽƌƚĂƌͿ
•ΎELJĐŽŶ'Ͳ EĂŶŽ ;ƌĞĐLJĐůĞĚ ĐĂƌƉĞƚ ĨŝďĞƌƐͿ
•WŽůLJ ǀŝŶLJů ůĐŽŚŽů ŝďĞƌƐ ;Ws Ϳ
o Z^ϳͲ ϲŵŵ
o Z^ϭϱͲ ϴŵŵ
o Z^ϭϱͲ ϴŵŵ
•ŽŶƚƌŽů ϮϬϬϬͲ ϲŵŵ; ϭϬϬй DƵůƚŝĨŝůĂŵĞŶƚ
ELJůŽŶͿ
•ΎΏ'ŽĂƚ ,ĂŝƌͲ ǀĂƌLJ ůĞŶŐƚŚ
•ΎΏ,ŽƌƐĞ ,ĂŝƌͲ ǀĂƌLJ ůĞŶŐƚŚ
•ΎΏŽƌŶƐŝůŬ ŝďĞƌƐͲǀĂƌLJ ůĞŶŐƚŚ
Ύ^ƵƐƚĂŝŶĂďůĞ ĨŝďĞƌƐ͕ ΏKƌŐĂŶŝĐ ŝďĞƌƐ
50. ŝďĞƌͲƌĞŝŶĨŽƌĐĞĚ ŵŽƌƚĂƌ͗ ĂƌŐĞƌ
ĞdžƉĞƌŝŵĞŶƚĂů ƉƌŽŐƌĂŵ ;EWdd ĨƵŶĚĞĚͿ
• ϴϬ ŵŝdžƚƵƌĞƐ
• ϳ ƚLJƉĞƐ ŽĨ ƚĞƐƚƐ
• tŽƌŬĂďŝůŝƚLJ ;ĨůŽǁ ƌĂƚĞͿ
• tĂƚĞƌ ƉĞƌŵĞĂďŝůŝƚLJ
• ŽŵƉƌĞƐƐŝǀĞ ^ƚƌĞŶŐƚŚ ŽĨ DŽƌƚĂƌ
• ŽŵƉƌĞƐƐŝǀĞ ƐƚƌĞŶŐƚŚ ŽĨ DĂƐŽŶƌLJ WƌŝƐŵƐ
• ůĞdžƵƌĂů ^ƚƌĞŶŐƚŚ ŽĨ DŽƌƚĂƌ ;ƐŵĂůů ƐƉĞĐŝŵĞŶ ƚĞƐƚŝŶŐͿ
• ŽŶĚ ^ƚƌĞŶŐƚŚ ŽĨ ϱͲƵŶŝƚͲƐƚĂĐŬ DĂƐŽŶƌLJ WƌŝƐŵƐ
• ^ŚĞĂƌ ŽŶĚ ^ƚƌĞŶŐƚŚ dĞƐƚ
сϮϰϬϬ ƐƉĞĐŝŵĞŶƐ
ϱϬ
51. ϱϭ
ůĞdžƵƌĂů DŽƌƚĂƌ dĞƐƚ ƉƉĂƌĂƚƵƐ ĂŶĚ ^ƉĞĐŝŵĞŶ
;^ŽƵƌĐĞ͗ ƌĚĂĐŬLJ ϮϬϬϴͿ
dĞƐƚ ^Ğƚ ƵƉ ĨŽƌ ĚĞƚĞƌŵŝŶĂƚŝŽŶ ŽĨ ƐŚĞĂƌ
ďŽŶĚ ƐƚƌĞŶŐƚŚ IJϬ
;^ŽƵƌĐĞ͗ ƵƌŽƉĞĂŶ ^ƚĂŶĚĂƌĚ WZE
ϮϬϱϮͲϯ WĂƌƚ ϯ ;ϭϵϵϲͿͿ
/ŶĐůŝŶĞĚ ƉůĂŶĞ ĂƉƉĂƌĂƚƵƐ ĨŽƌ ƚŚĞ ĚĞƚĞƌŵŝŶĂƚŝŽŶ ŽĨ
ƚŚĞ ĐŽĞĨĨŝĐŝĞŶƚ ŽĨ ŝŶƚĞƌŶĂů ĨƌŝĐƚŝŽŶ ;ȝͿ
52. WƵďůŝƐŚĞĚΎ ZĞƐƵůƚƐ
Ύ ƌŵǁŽŽĚ͕ ͕͘͘ ƌĚŽŐŵƵƐ͕ ͘ ĂŶĚ ,ĂŝĚĞƌ͕ ,͘ ;ϮϬϭϭͿ͘ ͞ĨĨĞĐƚ ŽĨ ŝďĞƌƐ ŽŶ ƚŚĞ
ůĞdžƵƌĂů ^ƚƌĞŶŐƚŚ ŽĨ DĂƐŽŶƌLJ DŽƌƚĂƌƐ͕͟ dŚĞ DĂƐŽŶƌLJ ^ŽĐŝĞƚLJ :ŽƵƌŶĂů͕ sŽů͘ Ϯϵ͕ EŽ͘
ϭ͕ ĞĐ͘ ϮϬϭϭ͕ ƉƉ͘ ϭϵͲϯϮ͘
ϱϮ
56. Z ^ƚƌĞŶŐƚŚĞŶŝŶŐ
• /ĚĞĂ ǁĂƐ ƚŽ ƐƚƌĞŶŐƚŚĞŶ ϮͲǁĂLJ ƌĞŝŶĨŽƌĐĞĚ ĐŽŶĐƌĞƚĞ ƐůĂďƐ
ƵƐŝŶŐ Z ;ƉƵďůŝƐŚĞĚΎͿ
ϱϲ
1 in- FRC SpecimenGFRP SpecimenControl Specimen
*Radik, M. and Erdogmus, E., Schafer, T. (2011). “Strengthening of Two-way reinforced concrete floor
slabs using polypropylene fiber reinforcement,” ASCE Journal of Materials in Civil Engineering,
Volume 23, Number 5, pp. 562-571, May 2011.
57. ϱϳ
0
50
100
150
200
250
300
350
400
450
0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50
Load(kN)
Deflection (cm)
1 FRC
GFRP
0.5 FRC
Control
(Phase 2)
0.75 FRC
(Phase 2)
GFRP
(Phase 2)
Initial Rupture
of GFRP
Load vs. Deflection Plots for Rehabilitated Specimens
Z ƐŚŽǁƐ ŐƌĞĂƚ
ƉŽƚĞŶƚŝĂů ĂƐ Ă
ƐƚƌĞŶŐƚŚĞŶŝŶŐ
ŵĞƚŚŽĚ͗
•ϭͲŝŶ Z ůĂLJĞƌ ĐĂƵƐĞƐ
ƐŝŐŶŝĨŝĐĂŶƚ ŝŶĐƌĞĂƐĞ ŝŶ
ĐĂƉĂĐŝƚLJ
•ƉŽdžLJ ĚƵƌĂďŝůŝƚLJ ŝƐ ŶŽƚ
Ă ĐŽŶĐĞƌŶ
•ϭ ŝŶ ůĂLJĞƌ ŽĨ Z
ƉƌŽǀŝĚĞƐ ϭϭϯй ŵŽƌĞ
ůŽĂĚ ĐĂƉĂĐŝƚLJ ƉĞƌ ΨΨ
ƚŚĂŶ 'ZW͊
Z ^ƚƌĞŶŐƚŚĞŶŝŶŐ
58. ŽůůĂďŽƌĂƚŝŽŶ /ŶǀŝƚĂƚŝŽŶƐ
ϱϴ
ĞĞƌĚŽŐŵƵƐϮΛƵŶů͘ĞĚƵ
ϭ͘ ,ŝ^ Z ǁŽƌŬƐŚŽƉ ŝŶ EĞďƌĂƐŬĂ ŝŶ Ăůů ϮϬϭϱ
;KĐƚŽďĞƌ Žƌ EŽǀĞŵďĞƌͿ͘
DĂũŽƌ tŽƌŬƐŚŽƉ 'ŽĂůƐ͗
Ă͘ƐƚĂďůŝƐŚ Ă ƌĞƐĞĂƌĐŚ ĐŽŶƐŽƌƚŝƵŵ
ď͘ŽƵŶĚ ĂŶ ŝŶƚĞƌŶĂƚŝŽŶĂů D͘^͘ ĚĞŐƌĞĞ ŽŶ
͞ŽŶƐĞƌǀĂƚŝŽŶ ŶŐŝŶĞĞƌŝŶŐ͗͟ Ϯ ŶŐŝŶĞĞƌŝŶŐ ĂŶĚ
Ϯ ĐŽŶƐĞƌǀĂƚŝŽŶ ĚĞƉĂƌƚŵĞŶƚƐ͗ hE͕ ^ĂƉŝĞŶnjĂ͕
hƉĞŶŶ͕ /njŵŝƌ dĞĐŚŶŽůŽŐLJ /ŶƐƚ͘
60. ŽůůĂďŽƌĂƚŝŽŶ /ŶǀŝƚĂƚŝŽŶƐ
ϲϬ
ĞĞƌĚŽŐŵƵƐϮΛƵŶů͘ĞĚƵ
ϯ͘ tĞ ĂƌĞ ĨŽƌŵŝŶŐ ĂŶ /ŶƚĞƌŶĂƚŝŽŶĂů ŽŶƐŽƌƚŝƵŵ ŽŶ
DĂƐŽŶƌLJ ƌĐŚ ƌŝĚŐĞƐ͘ ϭƐƚ ǁŽƌŬƐŚŽƉ ǁĂƐ ŚĞůĚ ĂƐ
ƉĂƌƚ ŽĨ ƚŚĞ ϭϮE D ŝŶ ĞŶǀĞƌ ŝŶ DĂLJ͘ zŽƵ ĂƌĞ
ŝŶǀŝƚĞĚ͊
DĂũŽƌ 'ŽĂůƐ͗
ͲŽƌŵ Ă ƚĞĐŚŶŝĐĂů ĐŽŵŵŝƚƚĞĞ ĂƐ ƉĂƌƚ ŽĨ dD^
Ͳ WƵďůŝƐŚ ĂƐƐĞƐƐŵĞŶƚ ĂŶĚ ŶĞǁ ĚĞƐŝŐŶ ŐƵŝĚĞůŝŶĞƐ
Ͳ ĚƵĐĂƚĞ ĞŶŐŝŶĞĞƌƐ ŽŶ ĚĞƐŝŐŶ ĂŶĚ ĂŶĂůLJƐŝƐ ŽĨ
ĂƌĐŚĞƐ Θ ĂƌĐŚ ďƌŝĚŐĞƐ
61. 'ƌĂnjŝĞ DŝůůĞ͊
• ^ĂƉŝĞŶnjĂ hŶŝǀĞƌƐŝƚĂ Ěŝ ZŽŵĂ͊
• DĂƚĞƌŝĂů ĂŶĚ ƚŝŵĞͬƐŬŝůů ĚŽŶĂƚŝŽŶƐ ĨƌŽŵ ƚŚĞ EĞďƌĂƐŬĂ
DĂƐŽŶƌLJ /ŶĚƵƐƚƌLJ ĂŶĚ ĨƌŝĞŶĚƐ͊
• EĂƚŝŽŶĂů ^ĐŝĞŶĐĞ ŽƵŶĚĂƚŝŽŶ͕ hE͕ EWdd͕ ,ĂƌǀĂƌĚ
ŽĞď ŽƵŶĚĂƚŝŽŶ ŐƌĂŶƚƐ
• DĂŶLJ͕ ŵĂŶLJ ƐƚƵĚĞŶƚƐ͙
• ĨĞǁ͗ ĂƚŚĞƌŝŶĞ ƌŵǁŽŽĚ͕ ŽĚLJ ƵĐŬůĞLJ͕ ƌŝĐ
'ĂƌĐŝĂ͕ ƌŝĞů ŽƵƐŐĂĂƌĚ͕ ůĞdž :ŽƌĚŝŶŐ͕ ĂƚĞ ŝĐŬůĞ
• DĂŶLJ͕ ŵĂŶLJ ĐŽůůĂďŽƌĂƚŽƌƐ͙
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:ŽƐŚƵĂ ƌĞĞĚůĂŶĚ͕ DŝŬĞ ^ĐŚƵůůĞƌ
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