For the beam shown in figure 1, determine the moment (M) and the corresponding c

Question

For the beam shown in figure 1, determine the moment (M) and the corresponding curvature (phi): use the stress-strain relationship shown in figure 2 for this. Ignore local and global buckling to perform these calculations. (f_y = 400N/mm^2: E_s = 200,000 N/mm^2). (a) at first flexural yield (M_y)(Elastic moment), (b) when the flanges are fully yielded, (c) at the onset of strain hardening and (d) at fracture (M_p)(Plastic moment) For the stress relieved steel beam shown in figure-1, determine the nominal section moment capacity of the having the cross-section as shown considering bending about x-x axis (M_sx).

Explanation / Answer

Let us determine the plastic moment capacity of the section. To do that, let us determine the plastic section modulus of the cross section.

Plastic section modulus of the section=

2*[(420*8*329) + (325*6*162.5)+(325*6*162.5)+(325*8*162.5)]= 4323380 mm³

Yield strength = 400N/mm²

Moment capacity=400*4323380=1729.35*10^6 Nmm=1729.35kNm

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