Abstract
This paper proposes a method to evaluate the effect of shear on the deflection of reinforced concrete (RC) beams. The deflection of RC beams due to the effects of flexural and shear cracks shows different results from those obtained from the elastic theory. The effect of shear on deflection was compared and analyzed in this study, on the basis of experimental results and elastic theory using the virtual work method. The shear effect on the deflection of RC beams by elastic theory was extremely small. However, experimental results showed a difference of over 40% from the results predicted by elasticity theory. In this study, a new method was developed to reasonably predict the deflection of flexure-critical RC beams using the deflection incremental coefficient due to shear. The proposed method was compared with the existing experimental results obtained from the literature for verification. As a result of the comparison, the deflection obtained using ACI 318-19 underestimated the actual deflection by approximately 33%, whereas the deflection obtained by the proposed method predicted the experimental results relatively accurately.
Highlights
A method for calculating the deflection of flexure-critical reinforced concrete (RC) beams considering the effect of shear was proposed
The shear deflection of RC beams calculated from the elastic bending theory underestimated the real shear deflection by up to approximately 40% as d/l increased
An analytical method that considers the effect of shear on deflection should be used to reasonably predict the deflection of RC beams; The ACI 318-19, which calculates the deflection using the effective moment of inertia, was found to significantly underestimate the real total deflection of RC beams
Summary
Kim et al [8] experimentally evaluated the effect of shear on the deflection of flexurecritical RC beams. The deflection at the mid-span of the beam can be obtained using (1) a linear variable differential transducer (LVDT) and (2) strain gauges attached to the mid-span of the beam. Because the deflection of RC beams is affected by flexure and shear, the deflection due to shear 1deflection) can be obtained by subtracting the flexural deflection from the total deflection
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