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An analytic formula of the second-order equilibrium beta limit for triangular-CREL DRAKONs with arbitrary pressure profile is derived. Its predictions for a parabolic pressure profile are compared with the full third-order numerical results, leading to a semi-analytic formula. The beta limits obtained here are much lower than those obtained previously; for example, for a DRAKON with straight sections and CRELs equal in length and with triangular CRELs of aspect ratio 2, the peak beta limit is 2.2%, compared to the previous result 12%. Pressure profiles with sharper boundaries have lower beta limits. The equilibrium is governed by the predominant quadrupole Pfirsch-Schliiter current. Small deviations from the CREL condition have almost no effects on the equilibrium, and thus the beta limit. Possible ways of raising the beta limit are also discussed. 1