Since it is easy to measure the applied torque, an empirical equation to predict the generated shear stress amplitude from the applied cyclic torque (under a low cyclic fatigue) has been carried out in this investigation. The equation has been expressed for a Brass material with a frequency of 375rpm. The conducted tests in this investigation was completely reversed based on strain at 250 o C whereas the shear strain amplitude, number of cycles to failure, and the maximum cyclic applied torque have been recorded during the tests. A fabricated rig has been used to conduct the experimental fatigue test at high temperature. The fatigue cyclic coefficients were estimated by applying the best fit equation for the recorded data. Ramberg-Osgood coefficients were found by substituting the fatigue cyclic coefficients in the relations that given by McClaflin and Fatemi. The empirical equation to predict the value of the shear stress amplitude was found for each value of the maximum torque that exposure to the material. The best fit of the shear stress amplitude that results from Ramberg-Osgood equation and with the recorded cyclic torque has been estimated. The effect of the temperature was also taken in the consideration on the fatigue strength which clearly observed that the high temperature lead to reduce the fatigue strength.