A strong asymmetry has been observed in the angular dependence of t)ie catastrophic dechanneling depth in strained-layer superlattices. This new effect occurs under resonance conditions, where the wavelength of the planar-channeled particles equals the peritfci of the superlattice, and is demonstrated for {110} planar channeling in GaP/GaAs x Pi_ x . A theoretical, phase-plane analysis shows that the angular tilt required for shifting of the catastrophic depth by one layer is a direct measure of the strain in the first few layers.