SLIDE 1
Cylinders 2 Lecture 15 ME EN 372 Andrew Ning aning@byu.edu - - PDF document
Cylinders 2 Lecture 15 ME EN 372 Andrew Ning aning@byu.edu - - PDF document
Cylinders 2 Lecture 15 ME EN 372 Andrew Ning aning@byu.edu Outline Shrink and Press Fits Shrink and Press Fits with Pressure Shrink and Press Fits ( r 2 o R 2 )( R 2 r 2 i ) p = E o r 2 2 R 3 r 2 i Equation is
SLIDE 2
SLIDE 3
p = Eδ 2R3 (r2
- − R2)(R2 − r2
i )
r2
- − r2
i
- Equation is similar, but more complex, if the two
cylinders use different material (Eq. 3-56 in Shigley)
p p
SLIDE 4
Hoop stress (σθ):
c
b a
Example
A steel (E = 30 Mpsi, ν = 0.292) tire that is 3/8 inch think is shrunk over a cast-iron (E = 13 Mpsi, ν = 0.211) rim that 1 in thick with a diameter of 16
- inches. The hoop stress in the tire must not
exceed 20 kpsi. What is the inside diameter to which the tire must be bored?
SLIDE 5
Shrink and Press Fits with Pressure
p
SLIDE 6
Pi
c
b a
+ =
interference fit pressure vessel across entire cylinder
Pi
total hoop stress