# Example 2 – Stresses In A Thick Wall Cylinder - HP 50g User Manual

Graphing calculator.

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( 0)*v0)'
'y0 = (2*COS( 0)^2*v0^2*y+(g*x^2(2*x0*g+2*SIN( 0))*COS( 0)*v0^2)*x+
(x0^2*g+2*SIN( 0)*COS( 0)*v0^2*x0)))/(2*COS( 0)^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 0, since 0 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,
and
rr
Notice that the right-hand sides of the two equations differ only in the sign
between the two terms. Therefore, to write these equations in the calculator, I
suggest you type the first term and store in a variable T1, then the second term,
and store it in T2. Writing the equations afterwards will be matter of recalling
and outer pressure P
i
, respectively, are given by
2
2
a
P
b
i
2
2
b
a
2
2
a
P
b
i
rr
2
2
b
a
. At any radial distance r
o
2
2
P
a
b
(
P
o
2
2
r
(
b
2
2
P
a
b
(
P
o
i
2
2
r
(
b
P
)
i
o
,
2
a
)
P
)
.
o
2
a
)
Page 7-2  