Querkraftwiderstand von Stahlbetonbauteilen ohne Querkraftbewehrung

Shear Strength of Reinforced Concrete Members without Transverse Reinforcement

A new theoretical model concerning the shear strength of reinforced concrete members without transverse reinforcement is presented, considering free-bodies unilaterally bounded by a fictitious crack, inclined atπ/4 to the tension chord and extending from the tension chord to the compression chord. It is assumed that the shear stress that can be transferred across a crack decreases linearly with the crack width and that the crack width at the level of the tension chord is proportional to the product of the tension chord strain at the crack and the chord distance. This results in a linear-hyperbolic relationship between the shear strength and the (elastic) tension chord force at the crack, allowing to determine the governing crack location and other relevant quantities via equilibrium considerations. Due to potential strut or arch action for the transfer of loads applied in the vicinity of supports the crack location is somewhat restricted; it is assumed that the corresponding length is equal to twice the chord distance.