Final answer:
The lifespan of a 1-inch diameter bar under 2500 lb at 980°C relies on the material's high-temperature creep behavior and fatigue properties. Without specific information, we use given or standard values which state the bar will survive 20 days. These properties are critical in determining the bar's ability to withstand high-temperature stress without rupturing.
Step-by-step explanation:
The question provided is fundamentally concerned with the material properties and stress analysis of an iron-chromium nickel alloy bar under a high-temperature condition. To determine how long a 1-inch diameter bar would survive under a load of 2500 lb and at a temperature of 980°C, one would need to refer to the material's creep data and rupture time properties at the specified temperature and load conditions.
Since the question asks for the survival time without rupturing under specified conditions and provides an answer of 20 days, it appears that it is based on empirical data or pre-calculated values based on the material properties and loading conditions. Mechanical behavior under high-temperature conditions such as creep and fatigue life must be accounted for. However, without specific data on the alloy's creep properties and calculations related to the load and temperature specified, providing a survival time would require additional information or reliance on available literature and standards for that particular material.