| p1 − p0 | r0²r1² | , | |
| r0² − r1² | r² |
(3) hoop tension numerically equal to this radial pressure.
The corresponding strains consist of
(1) uniform extension of all lines of the material at right angles to the axis of amount
| 1 − σ | p1r1² − p0r0² | , | |
| E | r0² − r1² |
(2) radial contraction of amount
| 1 + σ | p1 − p0 | r0²r1² | , | ||
| E | r0² − r1² | r² |
(3) extension along the circular filaments numerically equal to this radial contraction,
(4) uniform contraction of the longitudinal filaments of amount