Compliance driven graded lattices may retain severe homogenised stress concentrations. This work adds a stress constraint to the closed form open truss surrogates behind such designs. The relaxed macro stresses of the isotruss, octet and ORC cells are aggregated into a P-norm with an exact adjoint derivative. Finite differences confirm the gradient to within 2.5x10^{-6}. On an L-bracket every cell meets a 40 per cent reduction of its aggregate at a compliance increase of 19 to 24 per cent. A jointless beam re-analysis of the octet bracket shows, however, that the measure falls as the lattice softens while the mean and P-norm of the strut stress rise by 41 and 114 per cent, so the relaxed von Mises stress is not a reliable indicator of the strut stress. Normalising by the surrogate modulus removes its density scaling and relieves the core struts at 2 per cent cost, though the corner peak still rises by 19 per cent. On a Wells turbine blade the same measure lowers the largest strut stress by 28 per cent at 7 per cent cost, where the relaxed measure raises it by 132 per cent.