Qualitative assessment of the results shows a need for use of conservative values of Ys in engineering analysis if detailed and precise material data is not available.
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No further analysis was performed with Cranston's equation (1972), because it produced very conservative values of K for fix-ended columns in Fig. 9a and similar values of K as those produced by the Duan et al. equation for pin-ended columns in Fig. 9b.
This is expected because the Duan et al. equation computes more conservative values of K for pin-ended columns than those given by the Jackson Moreland Alignment Chart, whereas both Jackson Moreland Alignment Chart and Duan et al. equation compute very close values of K for fix-ended columns, as indicated by Fig. 9.
As a result, Eq. (15) estimated rather conservative values of Δf ps for the beams with auxiliary bonded steel bars, compared with those from the test results and three equivalent curvature block model (Fig. 8c).
