1 Introduction
V
c
|
V
s
| Main diagonal angle (θ) | |
---|---|---|---|
ACI 318-14 (2014) |
\( V_{c} = 0.17\sqrt {f^{\prime}_{c} } b_{w} d \)
|
\( V_{s} = A_{v} f_{vy} d/s \)
| 45° |
Eurocode 2 (2004) | – |
\( V_{s} = A_{v} f_{vy} z/s \)
| 21.8°–45.0° |
CSA A23.3 (2014) |
\( V_{c} = \beta \sqrt {f^{\prime}_{c} } b_{w} z \)
|
\( V_{s} = A_{v} f_{vy} z\cot \theta /s \)
| ≥ 29.0° |
2 Development of Single Web Shear Element Model
2.1 Idealization of a RC Beam for Modelling
2.2 Flexural Behavior with Top and Bottom Chords
2.3 Longitudinal Strain and Shear Stress at a Shear Critical Section
2.4 Shear Analysis for the Web Shear Element
2.5 Stiffness Matrix [D] for the Web Shear Element
2.5.1 Development of the Stiffness Matrix for the Steel Reinforcements, [Ds]
2.5.2 Stiffness Matrix for Concrete, [Dc]
2.6 Analysis Algorithm
3 Verification of the Proposed Model
3.1 Database for the Verification
Parameters | Range of values |
---|---|
Concrete compressive strength (\( f_{c}^{'} \)) | 13.8–125.3 MPa |
Depth (d) | 126–925 mm |
Shear span-to-depth ratio (a/d) | 0.85–6.98 |
Shear reinforcement (\( \rho_{v} f_{vy} \)) | 0.29–5.46 MPa |
3.2 Comparison Results
Model | Proposed | Eurocode 2 (2004) | ACI 318-14 (2014) | CSA A23.3 (2014) |
---|---|---|---|---|
Mean value | 1.16 | 1.37 | 1.39 | 1.39 |
CoV | 0.22 | 0.31 | 0.36 | 0.32 |