... compatibilitycalculations. That is, when the concrete crushes, the strainin the compression steel, 0.003 (c – )/c, must be largerthan the strain when the steel starts to yield, fy/Es. In thisdЈdЈAЈseЈPueЈϭ΄0.85 ... concentric or common type of curved beam exists(Fig. 2.21). Such a beam is defined by the Winkler–Bachtheory. The stress at a point y units from the centroidalaxis isM is the bending moment, ... shifts toward the center of curvature, or inside fiber,an amount equal to e ϭ ZR/(Z ϩ 1). The Winkler–BachZ ϭϪ1A ͵yR ϩ y dAS ϭMAR ΄1 ϩyZ (R ϩ y)΅82 CHAPTER TWOTLFeBOOK134CHAPTER...