Abstract
Shear deformation theory was adopted in this research to analyse the crack initiation stress occurred in the three-point bending test (TPBT) on concrete beams. For TPBT concrete beams with different spans, the influence of shear force on the maximum stress and mid-span deflection was analysed. The relationship of the crack initiation stress, the modulus of rupture and splitting tensile strength was also studied. It was found that the crack initiation stress was about 90 percent of the modulus of rupture provided by the ASTM, British and European codes, and it was 1.125 times of the splitting tensile strength. Experimental study on notched concrete beams was also undertaken to validate the analytical results. For notched concrete beams in TPBT, calculations of elastic modulus and ultimate crack length are presented.
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