<s>
Castigliano	B-Algorithm
's	I-Algorithm
method	I-Algorithm
,	O
named	O
after	O
Carlo	O
Alberto	O
Castigliano	O
,	O
is	O
a	O
method	O
for	O
determining	O
the	O
displacements	O
of	O
a	O
linear-elastic	O
system	O
based	O
on	O
the	O
partial	O
derivatives	O
of	O
the	O
energy	O
.	O
</s>
<s>
Castigliano	B-Algorithm
's	I-Algorithm
method	I-Algorithm
for	O
calculating	O
forces	O
is	O
an	O
application	O
of	O
his	O
first	O
theorem	O
,	O
which	O
states	O
:	O
</s>
<s>
Castigliano	B-Algorithm
's	I-Algorithm
method	I-Algorithm
for	O
calculating	O
displacements	O
is	O
an	O
application	O
of	O
his	O
second	O
theorem	O
,	O
which	O
states	O
:	O
</s>
