RAM Concept Help

Post-tensioning Material Stress-Strain Curves

RAM Concept uses a post-tensioning steel stress-strain curve base on a standard "power formula" that has been used in various forms for 25 years:

fp = εp {A + B/[1 + (C εp)D]1/D} ≤ fpu

Where A, B, C, and D are coefficients chosen to best fit the experimental stress-strain curve data.

RAM Concept uses coefficients A, B, C, and D based on an analysis of prestressing steel stress-strain curves included a paper by Develapura and Tadros [Develapura, R. K. and Tadros, M. K.,"Critical Assessment of ACI 318 Eq. (18-3) for Prestressing Steel Stress at Ultimate Flexure", ACI Structural Journal, V. 89, No. 5, September-October 1992, pp. 538-546]. RAM Concept ’s values are:

A = 0.0311 Ep

B = Ep - A

C = 0.958 Ep/fpy

D = 7.36

These values provide exact correspondence with the recommended parameters for 270 ksi (1860 MPa) strand with fpy of 0.9 fpu. For other prestressing materials, there may be small differences (a few percent) from the theoretical curves in the region between the start of yield and ultimate strength.