By changing the limit of integration within the zone where fracture occurs in brittle, glassy materials, based on a sinusoidal approximation as used in the Griffith formulation of theoretical strength of such solids, a modification of the equation for theoretical strength can be achieved. This modified equation for theoretical strength has been developed using the linear Hook's law near to the maximum of applied stress by taking a small variation in the spatial elongation. This equation gives rise to a multiplication factor, which has to be used to predict the theoretical strength when micro-flaws are present in the glassy materials. This theoretical result is discussed in terms of the available data on fused silica and other materials that are used in the glass industry.