  The energy-momentum tensor of the 't Hooft-Polyakov monopole and the
Julia-Zee dyon are studied. This tensor contains important information about
the pressure and the shear force distributions which define the mechanical
properties of systems. Obtaining the violation of the local stability criterion
for the magnetic monopole and dyon we decompose the EMTs into long- and
short-range parts. This decomposition depends on the abelian field strength
tensor which can not be uniquely defined. We suggest to use the modified 't
Hooft definition for the tensor. Finally, the long- and short-range parts of
the EMTs are computed and new equilibrium equations are obtained. Numerical
values for masses, $D$-terms and various mean square radii for the monopole and
the dyon are also computed.
