Shear
Support B (critical)
Shear at central support = 192.0 kN At face of support
VEd = 192.0 - (0.300 / 2 + 0.392) x 50.8 = 164.50 kN
= 164.5 x 103 / (392 x 300) = 1.40 MPa Maximum shear capacity
* K' is limited to 0.208. However, if, as is usual practice in the UK, x / d is limited to 0.45, z / d is as a consequence limited to 0.82 and K' to 0.168.
Shear reinforcement
> 164.5 x 103 / (0.9 x 392 x (500 / 1.15) x 2.5) = 0.429 More accurately,
> 164.5 x 103 / (333 x 1087) = 0.454 Minimum shear links,
= 0.08 x 300 x 3005 / 500 = 0.263 Not critical Max. spacing = 0.75d = 0.75 x 392 = 294 mm
Support A (and C)
Shear at end support = 137.2 kN At face of support
VEd = 137.2 - (0.150 + 0.392) x 50.8 = 109.7 kN By inspection,shear reinforcement required and cot 0= 2.5
> 109.7 x 103 / [353 x (500 / 1.15) x 2.5] = 0.285
<Concise EC2 Table 15.7>
<6.2.3(3), Exp. (6.8) > <6.2.3(3), Exp. (6.8) >
<Concise EC2 Fig. 15.1a> <Concise EC2 15.5.3>
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