Design of the Body
Select a suitable material for the body from table E-24
When two cylindrical parts are assembled by shrinking or press-fitting one part upon another, a contact pressure is created between the two parts.
A contact pressure exists between the members at the transition radius R, causing radial stresses in each member at the contacting surfaces.
The tangential stress at the inner surface of the outer member is found to be
Eqn. ( 3-61 )
where
and
Specify a suitable class of force fit from Table 19.6 and get the value of coefficient C from Table 19.7 (Standard Handbook of Machine Design, Shigley, Chapter 19 ).
Calculate the limit, L in thousandths of an inch corresponding to coefficient C and basic size D in inches
Take the worst case of minimum hole and maximum shaft.
This will give us the radial interference, and is the radial deformation which the two members must experience.
Calculate using Equ. ( 3-62 )
Equ. ( 3-62 )
where
The body will also be subjected to compression as well as torsion.
,
Calculate principal stresses with , , , and
.
Apply maximum normal stress theory to calculate factor of safety.
Determine the base dimensions
Check base for buckling.
Consider body as an equivalent column of inner diameter, and outer diameter of .
,
Calculate by considering compressive stresses on the equivalent column
where is ultimate compressive strength of the body material.
Take length of the column as .
and .
Calculate , where and
If , then it is a Johnson’s column, otherwise Euler’s column.
Calculate service factor, n. It should be greater than 3.5.
Calculate base seat outer diameter by considering bearing (compression) stress
Determine thickness ‘t’ of the base:
Assume a uniformly distributed load over the entire base seat at circumference i.e. at the center
and
Calculate and in terms of t.
Calculate t by applying appropriate failure theory for brittle material.