To calculate the failure point of a truncated cone under uniaxial stress, key data needed includes the material properties, such as yield strength and tensile strength, as well as geometric dimensions like height and base radius. The applied stress must be converted into appropriate units, such as pounds per square inch or kilopascals, to ensure accurate calculations. Understanding the load distribution and potential stress concentrations is also crucial. The discussion emphasizes the importance of material selection, particularly since the cone is likely made of plastic, which has different failure characteristics compared to metals. Accurate calculations will help determine the cone's structural integrity under a downward force of approximately 30 tonnes.