Vertical shoring against the top chord of the joist is most certainly the least expensive choice.
How to install temporary roof supports.
Bring in a sledgehammer and insert some wooden pieces into the ground.
For a perpendicular support you should use square pieces of 3 4 inch plywood or other scraps of wood that are at least 10 inches wide.
Make sure that the beams support the roof well and are not left loose or wobbling.
If you have space and there s any structure left near the ends the easiest way is to not replace the existing rafters and joists but to sister a second board on the side of each.
Place the wood on the floor or ground and hold in place with small screws.
Bring in the temporary beams and install them in place.
Once both of the brackets are secured set a post into them.
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I did not interpret your question as whether to support the open web joist on their top or bottom chord.
I would never install temporary shoring of open web joists on their bottom chord.
Use 2 inch carriage bolts to secure the posts to the mounting brackets.
The ideal height of such beams should be 2 10 foot longer than the distance between the roof and the ground.
Attaching the two with bolts every foot or two 50 cm.
Stand a post up in the bracket and hold a level on its side.
If the ground area is hard and difficult to penetrate then you can go for an alternate solution.
These pieces act as the bases that hold the legs of the support beams.
The temporary support that you use will need to have a firm footing in order to hold up the weight.
Use several bolts at the ends of the wider lumber 7x2.