Is there a mechanical method of joining the two sections that would keep the strength of the mast at the "unwelded" specification?...
There are several ways in which this can be done... but this is applicable to whether the joint/sleeve is inside or outside.
The key being it must be a close fit, not sloppy/loose.
So, let's consider 2 mast/structural members to be joined....like so:
So, we offer up the 2 sections...and the use another member as the joint..or sleeve.
The question becomes who much of an overlap do you need? Since if, referring to the image, L is very similar to Lm...there should not be any issues. But, if Lm is significantly longer than L, the joint wont allow the member to act as "one single" member, it will still behave as a composite.
So, under an applied load the member, when one single piece would take up a classic bend shape with a radius R.
noting the classical bending equation: M/I = (sigma)/y = E/R
We obviously wish to ensure that when joined, this remains the case. So the joint/sleeve, must allow this to occur, otherwise you will introduce different load paths and behaviour/response, thus more detailed analysis is required.
When the member bends, if, for the sake of simplicity, it is an RHS, the upper and lower regions will go into tension/compression. Thus there is a force that needs to be transmitted from the original mast via the sleeve.
So looking in XSA, the number of rivets/bolts etc, must have enough total shear area to transmit the load from the original member through the bolt/rivet into the sleeve and then back the other side.
The key being the bearing stress at the rivet/bolt location in the beams flange. This is the source of the SCF. Eliminate the high bearing stress, reduces the localise stress.
The the same procedure on the flange region of the sleeve. And of course not to be placed too close together.
A simple rule of thumb, the diameter of the rivet/bolt should not be any greater than the thickness of the material is it attached to....so this then determines the number of fasteners you need and thus, can it be done, given the geometric shape of the mast and sleeve.
And for good measure, apply plenty of glue ...
Alternative, instead of fasteners, you can, as Baeckmo notes, use just glue. In this case the shear strength of the glue is the means of load transfer.
All you would do, is add a few pop rivets to prevent possible slip/joint alignment during assembly.
That's the basic principal.