Final answer:
The bearing factor of safety, minimum required journal diameter, and maximum permissible journal diameter for the bearings can be calculated using specific equations.
Step-by-step explanation:
The bearing factor of safety based on the (PV)max criterion can be calculated using the equation:
Factor of Safety = Pv / (Pv)max
Where:
Pv is the bearing pressure in N/mm^2
(Pv)max is the maximum allowable bearing pressure in N/mm^2
To determine the minimum required journal diameter, we can use the equation:
Dmin = (2L * F * S) / (π * (Pv)max)
Where:
Dmin is the minimum required journal diameter
L is the bearing length in cm
F is the radial load in N
S is the factor of safety
To find the maximum permissible journal diameter, we need to consider the maximum allowable bearing pressure and the maximum allowable bearing temperature.
The question pertains to a mechanical engineering problem involving the design of a steel shaft with aluminum bearings, but the additional snippets provided are unrelated and cover different engineering concepts such as stress, circular motion, and rotational dynamics.
The question provided seems to be a composite of several different engineering questions, primarily focusing on the mechanical engineering discipline. It appears that a part of the question refers to the design of a steel shaft supported by aluminum bearings, considering operational safety and determining appropriate dimensions based on given criteria. However, the reference snippets included are unrelated to this primary problem and cover various topics like stress in a steel rod, motion on a circular track, dynamics of rotational motion, etc. These snippets do not directly contribute to solving the initial problem about the steel shaft and bearings, and therefore, must be set aside when addressing the student's questions.