Hi, unfortunately things are mixed up a little bit.
Your assignment of H=rts/10; which is not used in your code by the way, in deed requires to use Module to protect the other H from FindRoot at least for a clean solution.
I would suggest this code:
Manipulate[
TableForm@
Table[{{span, Rw},
Module[{H},
H /. Quiet@
FindRoot[{(2 (H/Rw) Sinh[span Rw/(2 H)] - span - (span slacdataStrain[[i]]/100))/Ac},
{H,iTen/100 rts/2}]]}, {i, 32}],
{span, 500, 1500, 100},
{Rw, 0.5, 2.5, 0.1},
SaveDefinitions -> True]
Many Mathematica functions return list or replacement rules aka substitutions.
If you need the "naked" values you usually perform the substitution by means of the /. operator.
{x, y} /. {x -> 3, y -> 5}
x /. {x -> 3, y -> 5}
Sqrt[x^2 + y^2] /. {x -> 3, y -> 5}
Out[18]= {3, 5}
Out[19]= 3
Out[20]= Sqrt[34]
I personally would avoid Last@@@{x -> 3, y -> 5} at least in this case,
Values[{x -> 3, y -> 5}] or Values@{x -> 3, y -> 5} would do the same job, again I would avoid it.
Robert