What is the formula used to calculate the bursting pressure (BP) of a boiler?

The correct answer identifies a formula that incorporates various factors impacting the pressure at which a boiler may burst. The formula for bursting pressure (BP) is BP = TS x T x E / R, which reflects the interaction of several crucial parameters: TS (tensile strength of the material), T (thickness of the wall), E (efficiency of the design), and R (radius of the boiler or pressure vessel).

This formula is vital in engineering because understanding the bursting pressure helps ensure the safe operation of boilers by setting limits on how much pressure can be safely contained. By multiplying the tensile strength by the wall thickness and efficiency, and then dividing by the radius, it accounts for the material properties and geometric factors that contribute to the structural integrity of the boiler under pressure.

In contrast, the other choices either do not pertain to the calculation of bursting pressure or represent different parameters altogether. For example, the second option involves the calculation of the area of a circular cross-section, while the third option suggests a relationship with maximum allowable working pressure (MAWP) without appropriate context. The last option touches on force and area but lacks specificity regarding the structural components related to pressure bursts. Understanding the correct formula is essential for ensuring safety and compliance with engineering standards