  Solutions of the linearized Einstein equations are found that describe a
transversely confined beam of circularly polarized gravitational waves on a
Minkowski backdrop. By evaluating the cycle-averaged stress-energy-momentum
pseudotensor of Landau & Lifshitz it is found that the angular momentum density
is concentrated in the 'skin' at the edge of the beam where the intensity
falls, and that the ratio of angular momentum to energy per unit length of the
beam is $2/\omega$, where $\omega$ is the wave frequency, as expected for a
beam of spin-$2$ gravitons. For sharply-defined, uniform, axisymmetric beams,
the induced background metric is shown to produce the gravomagnetic field and
frame-dragging effects of a gravitational solenoid, whilst the angular momentum
current additionally twists the contained space helically.
