PSI - Issue 10
A. Marinelli et al. / Procedia Structural Integrity 10 (2018) 104–111 A. Marinelli and M.R. Stewart / Structural Integrity Procedia 00 (2018) 000 – 000
108
5
(a)
(b)
Fig. 4. Failure modes observed after testing for (a) 200mm span and span/depth=4; (b) 200mm span and span/depth=6.
minutes and, given our interest in the post-peak behavior of the material till the specimen can bear no load, the duration of each test was 8-10 minutes. Typical fractured specimens are shown in Fig.4.
3. Experimental results
3.1. Typical results
Typical load-deflection at midspan and load-CMOD curves of Portland limestone specimens under three-point bending were directly derived from experimental recordings (Fig.5). A typical load-deflection curve consists of three distinct portions: up to the peak load the constitutive law is almost perfectly linear elastic. This region is abruptly terminated by a significant load drop which in turn leads to a third portion, characterized by a small slope, up to final disintegration of the specimens. The flexural strength R tf of each specimen was calculated according to the method proposed by BS EN 12372:2006 by application of the formula:
Fl
3
R
tf
(1)
2
bh
2
where F is the breaking load (N), l the span, b the breadth and h the height of specimen (all in mm).
Span/Depth Ratio = 5/2 Span/ Depth Ratio = 4 Span/ Depth Ratio = 6
Span Depth ratio = 5/2
Span/ Depth ratio = 4
Span/ Depth ratio = 6
1800
1800
Span/Depth ra tio=
1600 1200
1600 1200
1600
1600
Span/Depth ra tio=
1400
1400
Span/Depth Ratio = 5/2 Span/ De 5/2
1200 Span/Depth Ratio = 5/2 Span/ Depth Ratio = 4 Span/ Depth Ratio = 6 5/2
1200
1000 Span/Depth Ratio = 5/2 Span/ Depth Ratio = 4 Spa 4.0 1800
1000
800 Span/Depth Ratio = 5/2 Span/ Depth Ratio = 4 Span/ Depth Ratio = 6 4.0 800 1800
800 400
800 400
Load (N)
600 Span/Depth Ratio = 5/2 Span/ Depth Ratio = 4 Span/ Depth Ratio = 6 6.0 Load (N) 1800
600
400 1800 o = 5/2 Span/ Depth Ratio = 4 Span/ Depth Ratio = 6 6.0
Load [N]
Load [N]
1600
400
1600
1800
200
200
1600
0
0
1600
0
0
1400
0.2 1600
0
0.1
0.3
0.4
0.5
0.6
0 0 0.4 0.4 1.2 Crack Mouth Opening Displacement [mm] 0.6 0.8 0.8 1 1.2 Crack Mouth Opening Displacement (mm) 0.2
1.4
1400
0
Deflection at Mid-span (mm ) 0.1 0.2 0.3 0.4 0.5 0.6 Deflection at mid-span [mm]
1400
1400
1400
1200
1200 (b) Fig. 5. (a) The load applied vs. deflection at mid-span for 200 mm spans; (b) The load applied vs. CMOD for 200 mm spans. 1200 1200
(a)
1200
1000
1000
1000
1000
1000
800
800
800
Load (N)
800
Load (N)
600 Load (N)
600
800
600
Load (N)
Load (N)
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