Actually, the LGPL allows static linking as long as you meet a few very specific requirements. For example, if all distribution is done from your website where you have StaticProgram.exe, you're okay as long as users could also download StaticProgram.obj and LGPL-library-source.tar.gz. You could also distribute StaticProgram.exe with a written offer to provide the other files.
Specifically, static linking creates a single executable that is a derivative of the LGPL code, so you must comply with section 6 of the LGPL:
6) As an exception to the Sections above, you may also combine or link a
"work that uses the Library" with the
Library to produce a work containing
portions of the Library, and
distribute that work under terms of
your choice, provided that the terms
permit modification of the work for
the customer's own use and reverse
engineering for debugging such
modifications.
You must give prominent notice with
each copy of the work that the Library
is used in it and that the Library and
its use are covered by this License.
You must supply a copy of this
License. If the work during execution
displays copyright notices, you must
include the copyright notice for the
Library among them, as well as a
reference directing the user to the
copy of this License. Also, you must
do one of these things:
a) Accompany the work with the complete corresponding
machine-readable source code for the
Library including whatever changes
were used in the work (which must be
distributed under Sections 1 and 2
above); and, if the work is an
executable linked with the Library,
with the complete machine-readable
"work that uses the Library", as
object code and/or source code, so
that the user can modify the Library
and then relink to produce a modified
executable containing the modified
Library. (It is understood that the
user who changes the contents of
definitions files in the Library will
not necessarily be able to recompile
the application to use the modified
definitions.)
b) Use a suitable shared library mechanism for linking with the
Library. A suitable mechanism is one
that (1) uses at run time a copy of
the library already present on the
user's computer system, rather than
copying library functions into the
executable, and (2) will operate
properly with a modified version of
the library, if the user installs one,
as long as the modified version is
interface-compatible with the version
that the work was made with.
c) Accompany the work with a written offer, valid for at least
three years, to give the same user the
materials specified in Subsection 6a,
above, for a charge no more than the
cost of performing this distribution.
d) If distribution of the work is made by offering access to copy
from a designated place, offer
equivalent access to copy the above
specified materials from the same
place.
e) Verify that the user has already received a copy of these
materials or that you have already
sent this user a copy.
For an executable, the required form
of the "work that uses the Library"
must include any data and utility
programs needed for reproducing the
executable from it. However, as a
special exception, the materials to be
distributed need not include anything
that is normally distributed (in
either source or binary form) with the
major components (compiler, kernel,
and so on) of the operating system on
which the executable runs, unless that
component itself accompanies the
executable.
It may happen that this requirement
contradicts the license restrictions
of other proprietary libraries that do
not normally accompany the operating
system. Such a contradiction means you
cannot use both them and the Library
together in an executable that you
distribute.