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  • The sum of polar inertia and second moments in the strong and weak axes of the surfaces forming the punching area (A z ) is automatically calculated in accordance with any type of column geometry.

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ICONS

A wp = Total cross-sectional area of ​​the vertical punching rebars on the punching circumference
A z = Punching area
b 1 = Punching circumference length in the loading direction
b 2 = Punching circumference length perpendicular to the loading
c (maj) = The center of gravity of the punching area calculated in the moment direction around the strong axis
c (min) = center of gravity calculated in the direction of the moment around the weak axis of the punching area
c ' (maj) =The center of gravity of the punching area calculated in the opposite direction of the moment around the strong axis
c ' (min) = The center of gravity calculated in the opposite direction of the moment around the weak axis of the punching area
d = Slab useful height
D = Strength Excess Coefficient
f ctd = Design tensile strength of concrete
J (maj) = Sum of polar inertia and second moments around the strong axis of the surfaces forming the stapling area (A z )
J (min) = Punching area (A z)) the sum of the polar inertia and second moments around the weak axis of the forming surfaces
M d (maj) = The design moment calculated under the combined effect of vertical loads and earthquake loads on the strong axis of the column and based on the slab punching calculation
M d (min) = In the weak axis of the column, vertical loads and earthquake loads and the design moment based on the slab punching calculation
u p = Punching circumference
V d = Punching force based on the punching calculation
τ pd, 1 = Design-based punching stress
τ pd, 2 =Punching stress based on design
γ v = Coefficient reflecting the shear effect in the punching calculation
γ f = Coefficient reflecting the bending effect in the punching calculation
ρ = Cross section area of ​​the punching reinforcement in the unit area

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J 2 : The above figure shows the second (inertia) moment of the punching area (blue shaded area) parallel to the axis with respect to the axis.

Use of Stapling Reinforcement

According to Article 7.11.10 of TBDY , in cases whereτ pd ≤ f ctd condition is not fulfilled and plate thickness is greater than 250 mm, punching strength can be increased by using punching equipment.

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By using punching equipment, the punching strength can be increased up to 1.5f ctd or 1.75f ctd as stated above .

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