Beam ID
|
Opening size (mm)
|
ℓo/hc
|
Type of loading
|
Strengthening scheme
|
FE results
|
---|
h
o
|
ℓo
|
Pu (kN)
|
εsu,b (με)
|
εsu,t (με)
|
εspu (με)
|
Failure mode
|
---|
Effect of strengthening scheme
|
BS1-O1-CPL
|
225
|
450
|
4.00
|
CPL
|
Scheme-1
|
185
|
2711
|
380
|
–
|
DB-SF-TC
|
BS3-O1-CPL
|
225
|
450
|
4.00
|
CPL
|
Scheme-3
|
236
|
11,620
|
468
|
–
|
FF-BM
|
BS4-O1-CPL
|
225
|
450
|
4.00
|
CPL
|
Scheme-4
|
239
|
12,285
|
477
|
15,657
|
FF-BM
|
BS5-O1-CPL
|
225
|
450
|
4.00
|
CPL
|
Scheme-5
|
239
|
11,530
|
710
|
9334
|
FF-BM
|
BS6-O1-CPL
|
225
|
450
|
4.00
|
CPL
|
Scheme-6
|
241
|
11,492
|
706
|
5203
|
FF-BM
|
BS2-O2-CPL
|
225
|
900
|
8.00
|
CPL
|
Scheme-2
|
192
|
2296
|
7768
|
43,317
|
BKL-FF-TC
|
BS3-O2-CPL
|
225
|
900
|
8.00
|
CPL
|
Scheme-3
|
201
|
2420
|
7989
|
49,394
|
FF-TC
|
BS4-O2-CPL
|
225
|
900
|
8.00
|
CPL
|
Scheme-4
|
204
|
2424
|
4464
|
48,903
|
FF-TC
|
BS5-O2-CPL
|
225
|
900
|
8.00
|
CPL
|
Scheme-5
|
209
|
2435
|
6429
|
33,688
|
FF-TC
|
BS6-O2-CPL
|
225
|
900
|
8.00
|
CPL
|
Scheme-6
|
214
|
2609
|
3781
|
30,634
|
FF-TC
|
Effect of opening size
|
BU-0.0-CPLa
|
No opening
| |
0
|
CPL
|
Unstrengthened
|
204
|
81,413
|
–4980
|
–
|
FF-BM
|
BU-1.0-CPL
|
225
|
113
|
1.00
|
CPL
|
Unstrengthened
|
203
|
55,071
|
2575
|
–
|
FF-BM
|
BU-2.0-CPL
|
225
|
225
|
2.00
|
CPL
|
Unstrengthened
|
200
|
39,071
|
2319
|
–
|
FF-BM
|
BU-3.0-CPL
|
225
|
338
|
3.00
|
CPL
|
Unstrengthened
|
198
|
24,286
|
2184
|
–
|
FF-BM
|
BU-4.0-CPLb
|
225
|
450
|
4.00
|
CPL
|
Unstrengthened
|
172
|
2583
|
460
|
–
|
SF-TC
|
BS4-4.0-CPLc
|
225
|
450
|
4.00
|
CPL
|
Scheme-4
|
239
|
12,285
|
477
|
15,657
|
FF-BM
|
BU-5.0-CPL
|
225
|
563
|
5.00
|
CPL
|
Unstrengthened
|
138
|
2040
|
689
|
–
|
SF-TC
|
BS4-5.0-CPL
|
225
|
563
|
5.00
|
CPL
|
Scheme-4
|
234
|
6444
|
852
|
18,523
|
FF-BM
|
BU-6.0-CPL
|
225
|
675
|
6.00
|
CPL
|
Unstrengthened
|
127
|
2006
|
12,855
|
–
|
SF-TC
|
BS4-6.0-CPL
|
225
|
675
|
6.00
|
CPL
|
Scheme-4
|
221
|
2881
|
1208
|
20,500
|
FF-BM
|
BU-8.0-CPLd
|
225
|
900
|
8.00
|
CPL
|
Unstrengthened
|
96
|
1303
|
21,894
|
–
|
SF-TC
|
BS4-8.0-CPLe
|
225
|
900
|
8.00
|
CPL
|
Scheme-4
|
204
|
2424
|
4464
|
48,903
|
FF-TC
|
BU-10.0-CPL
|
225
|
1125
|
10.00
|
CPL
|
Unstrengthened
|
54
|
755
|
27,289
|
–
|
FF-TC
|
BS4-10.0-CPL
|
225
|
1125
|
10.00
|
CPL
|
Scheme-4
|
169
|
1880
|
11,180
|
55,100
|
FF-TC
|
BU-12.0-CPL
|
225
|
1350
|
12.00
|
CPL
|
Unstrengthened
|
42
|
211
|
30,687
|
–
|
FF-TC
|
BS4-12.0-CPL
|
225
|
1350
|
12.00
|
CPL
|
Scheme-4
|
132
|
1388
|
13,344
|
62,224
|
FF-TC
|
- ho depth of opening, ℓo length of opening, hc larger of hb and ht where hb and ht= depth of bottom and top chords, respectively, Pu ultimate load, εsu,b peak strain of bottom rebars at mid-span, εsu,t peak strain of top rebars at mid-span, εspu peak tensile strain of steel plate at mid-span, DB-SF-TC FRP debonding followed by shear failure of top chord, FF-BM flexural failure of beam at opening with contribution from both top and bottom chords, BKL-FF-TC out-of-plane buckling of steel plates followed by flexural failure of top chord, FF-TC flexural failure of top chord, SF-TC shear failure of top chord, CPL Center-point loading.
- aSame as control beam BC-N-CPL.
- bSame as control beam BC-O1-CPL.
- cSame as beam BS4-O1-CPL.
- dSame as control beam BC-O2-CPL.
- eSame as beam BS4-O2-CPL.