July 16, 2017

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2 Strain–strain characteristics for an elastic–perfectly plastic material. Copyright 2005 by CRC Press, Inc. All Rights Reserved. 3 Membrane plus bending versus membrane stress for a rectangular beam. When the primary stress in a rectangular section consists of a combination of bending and axial tension, the value of the limit load depends on the ratio between the tensile and bending loads. 3 shows the value of the maximum calculated stress at the outer fiber of a rectangular section required to produce a plastic hinge plotted against the average tensile stress across the section, with both values expressed as multiples of the yield stress Sy.

3 1. Guideline 1 establishes the relationship between the membrane and bending stresses and the associated failure modes. The failure modes of concern are collapse/gross distortion (Pm), plastic collapse (Pb), excessive plastic deformation (PL þ Pb), and ratcheting and lack of shakedown (P þ Q). 2. Guideline 2 relates to the first guideline by establishing the finiteelement assessment for each failure mode. They maintain that for the Copyright 2005 by CRC Press, Inc. All Rights Reserved. general primary membrane stress, Pm, finite-element analysis is not necessary, and simple equilibrium equations for net force and net moment are adequate.

6. , Plastic Analysis of Structures, McGraw-Hill, New York, 1959. Problems 1. Determine the interaction curve for a thin-walled I-beam of height h and width h/2 and having a wall thickness of t (t<

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