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Corbel Design Using Strut-Tie Method

The document summarizes the analysis of a corbel using strut and tie modeling. It lists assumptions made about the corbel geometry and loading. It then calculates the effective width, height, rebar sizes and locations. Based on the material properties and rebar configuration, it determines the maximum horizontal and vertical tie forces the corbel can resist. By comparing these forces to the maximum allowable bearing stress, it finds the minimum capacity of the corbel is 489.67 kN.

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Ken Luu
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950 views1 page

Corbel Design Using Strut-Tie Method

The document summarizes the analysis of a corbel using strut and tie modeling. It lists assumptions made about the corbel geometry and loading. It then calculates the effective width, height, rebar sizes and locations. Based on the material properties and rebar configuration, it determines the maximum horizontal and vertical tie forces the corbel can resist. By comparing these forces to the maximum allowable bearing stress, it finds the minimum capacity of the corbel is 489.67 kN.

Uploaded by

Ken Luu
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Corbel checking using strut and tie formula

Ref.:
1. SS EN 1992-1-1 2008, Appendix J
2. Singapore National Annex NA to SS EN 1992-1-1 2008
3. PD6687:2006 Background paper to the UK National Annexes to BS EN 1992-1
4. Mosley et al. "Reinforced Concrete Design to Eurocode 2", 6th Edition, Palgrave Macmillan, 404p

Item: XXX
Assumptions:
1. The nib is assumed as a corbel, the effective width is
0
1088mm for outer plint, considering 45 dispersion

2. The height of the corbel is taken as the height of the nib


measured at centre of the plint
Ftv d
3. Load is assumed as a concentrated load at centre of plint
(425mm from wall of crosshead) FEd
ac
4. Horizontal action is not considered
5. Material factors are: Fthd

gc gs acc
z
1.5 1.15 1.00 Fcd d hc

Effective width b 1088 mm


Height of corbel hc 530 mm
Distance from loading point to centre of vertical rebars) ac 473 mm
Effective depth of corbel (cover is 40mm, rebar d=16mm) d 482 mm
Characteristic cylinder strength of concrete fck 32 N/mm2
Design strength for concrete strut, f cd = 0.6(1-f ck/250)(accfck/gc) fcd 11.16 N/mm2
Yield strength of rebar (both vertical and horizontal) fy 500 N/mm2
Main rebar (H16-200 over effective width) to resist F thd 6 x H16 As 1206.37 mm2
Ultimate horizontal tie force F thd = Asfy/gs Fthd 524.51 kN
Angle q (from equilibrium Fthd = FEd(cotq)) q 43.0 Degree
with FEd = fcdbd(1-(a/d)tanq)sin2q
Maximum apply load from horizontal tie, F Ed = Fthd /(cotq) FEd 489.67 kN
Main rebar (H16-200 over effective width) to resist F tvd 6 x H16 As 1206.37 mm2
Maximum apply load from vertical tie, F Ed = Ftvd Ftvd 524.51 kN
Maximum allowable bearing stress, smax =0.48f ck(1-fck/250) smax 13.39 N/mm2
Maximum force on 1 plint from allowable bearing stress F max 1506.82 kN

Capacity of corbel (min of F Ed, Ftvd, Fmax) Fallow 489.67 kN

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