Research on Methods to Calculate Deformation of Finished Reinforcement Products Considering Stochastic Stiffness of Welded Joints
A method to calculate deformation of finished reinforcement products is proposed,aiming to quantify the stiffness of the reinforcement products.The method has been developed on tests and theoretical analysis,taking into account the force mechanism of reinforcement as well as the stochastic stiffness of welded joints.A stiffness mechanical model of three directions was built up from the perspective of force mechanism.Considering the influence of reinforcement diameter,105 groups of reinforcement specimens with T welded joints and two types of fixing setups for load application were designed to carry out graded loading tests.Furthermore,considering the stochastic rotational stiffness of welded joints,a method to calculate the deformation of finished reinforcement products that is developed from Monto Carlo simulation was proposed,which was subsequently verified by tests of six groups of reinforcement mats and six groups of reinforcement cages.It is shown that the stiffness of the welded joints and the reinforcement diameter are related,under the same welding condition,larger reinforcement diameter leads to greater stiffness of welded joints.The rotational stiffness of welded joints consisting of reinforcing bars of same diameter conform to normal distribution.The rotational stiffnesses in three directions,namely Rx,R,and Ry,were not the same(Rx>Rz>Ry).The stiffness of a welded joint is basically in linear relationship with its cross-sectional area.The stiffnesses of welded joints of vertical and transverse reinforcing bars are critical to the deformation of finished reinforcement products.The deformation calculation error of the finished reinforcement products by the proposed method is within the range of 10%,which is of higher calculation precision than that for the traditional rigid connection and hinged connection,and is an effective method for deformation calculation of finished reinforcement products.