# Example 2 - Stresses In A Thick Wall Cylinder - HP F2226A - 48GII Graphic Calculator User Manual

Graphing calculator.

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At this point, we need only press K twice to store these variables.
To solve, first change CAS mode to
in that order: @@@A2@@@ @@@A1@@@ .
Use command SOLVE at this point (from the S.SLV menu: „Î) After
about 40 seconds, maybe more, you get as result a list:
{ 't = (x-x0)/(COS(θ0)*v0)'
'y0 = (2*COS(θ0)^2*v0^2*y+(g*x^2(2*x0*g+2*SIN(θ0))*COS(θ0)*v0^2)*x+
(x0^2*g+2*SIN(θ0)*COS(θ0)*v0^2*x0)))/(2*COS(θ0)^2*v0^2)']}
Press µ to remove the vector from the list, then use command OBJ , to get
the equations listed separately in the stack.
Note: This method worked fine in this example because the unknowns t and
y0 were algebraic terms in the equations. This method would not work for
solving for θ0, since θ0 belongs to a transcendental term.
Example 2 – Stresses in a thick wall cylinder
Consider a thick-wall cylinder for inner and outer radius a and b, respectively,
subject to an inner pressure P
from the cylinder's axis the normal stresses in the radial and transverse
directions, σ
and σ
, respectively, are given by
θθ
rr
σ
θθ
σ
rr
, then, list the contents of A2 and A1,
Exact
and outer pressure P
i
2
2
2
a
P
b
P
a
b
i
o
2
2
2
b
a
r
2
2
2
a
P
b
P
a
b
i
o
2
2
2
b
a
r
. At any radial distance r
o
2
(
P
P
)
,
i
o
2
2
(
b
a
)
2
(
P
P
)
i
o
.
2
2
(
b
a
)
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