Determination of the linear correlation coefficient between Young’s modulus and the compressive strength in fibre-reinforced concrete based on experimental studies

Abstract The test procedures for determining Young’s modulus in concrete are complicated and time-consuming. Therefore, attempts to search for alternative methods of its determination are not surprising. The relationship between the value of compressive strength and Young’s modulus in concrete is known. However, the strength of this relationship in fibre-reinforced concrete has not been exactly described. The article attempts to investigate the strength of the correlation between Young’s modulus and the compressive strength of fibre-reinforced concrete. The influence of the amount of fibres on this relationship was also checked. Two types of specimen were used for the tests. The specimens differed in the content of steel fibres, 0.25% and 0.50%, respectively. In order to determine the correlation relationship, the method of linear regression and the coefficient of linear correlation were used. The use of the determination coefficient allowed us to examine the degree of explanation of one variable by another.