PSI - Issue 42

Rami A. Hawileh et al. / Procedia Structural Integrity 42 (2022) 1198–1205 Hawileh et al./ Structural Integrity Procedia 00 (2019) 000 – 000

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3.1. American Concrete Institute (ACI 318-19 (2019)) In 2019, the shear design equations in the ACI 318-19 (2019) were changed to add the effect of member depth (size effect) and longitudinal reinforcement. The shear capacity ( V n ) is calculated by Eqs. (1) - (3) if minimum transverse reinforcement ( A v(min) ) is provided. However, if A v(min) is not provided, size effect is considered and the concrete shear strength contribution is calculated by Eq. (3). = (0.17 √ ′ + 6 ) + (1) = (0.66 1/3 √ ′ + 6 ) + (2) = (0.66 1/3 √ ′ + 6 ) + (3) where, = max (0.9 , 0.72ℎ) Beams with h < 250 mm, = 0.21, = 42º If f y < 400 MPa and f’ c >35 MPa, = 35º and = 0.18 if A v > A v(min) , otherwise = 230/(1 + ) 3.3. British Standard (BS 8110-1:1997 (1997)) = 0.79( 1 00 ) 1 3 ( 4 00 ) 1 4 ( 2 5 ) 1 3 + 0.95 where, f yv = f y ; A sv = A s ; s v = s ; b v = b w ; f cu = f’ c /0.82; = 1.25 The following limitations are imposed by BS 8110 for Eq. (7): 0.15 ≤ 100 ≤ 3.0 3.4. Eurocode EN 1992-1-2 (2004) (Eurocode2 (2004)) = [ , (100 ) 1 3 ] + (9) where, , = .12; = 1 + √ 2 00 ; = ′ ; = ≤ 0.02 ; A sw = A sv ; z = lever arm taken as 0.9d; f ywd = f yv ; θ = compression strut angle 45° and 21.8°. 3.5. Zararis et al. (2006) = (1.2 − 0.2 ) + (0.5 + 0.25 ) (10) where: 1.2 − 0.2 ≥ 0.65 ( in meters) (11) (5) (6) (7) (8) 4 00 ≥ 1.0 25 ≤ 1.6 where: (size factor) = √ 1+ 2 2 50 ≤ 1.0 ; 6 ≤ 0.05 ′ . 3.2. Canadian Standards Association (CSA23.3-04 (2004)) Simplified method: = √ ′ + (4)