The Equal Projection Model and Application of Short Fiber Reinforced Concrete

Abstract

In order to determine the fiber direction distribution statistical characteristic of short fiber reinforced concrete, this paper put forward the equal projection model. According to the isotropic assumption of large volume of short-fiber reinforced concrete, in the three-dimensional coordinate system, when the concrete loads along all coordinate axes are equal, it is believed that a representative short fiber projection components in all axes are equal. According to the deduction, the cosine of the angle of the representative fiber and the force direction is equal to the reciprocal value of the square root of 3. On this basis, as an application example, the formula for the prediction of fiber reinforced concrete elastic modulus was deduced. The formula shows that the elastic modulus of short fiber reinforced concrete is equal to the sum of 1/3 of the elastic modulus of long fiber concrete in fiber length direction and 2/3 of the elastic modulus of long fiber concrete in the vertical direction.