Calculate the plastic moment capacity Mp of the steel rectangular hollow section shown in Figure Q1a. The yield strength of the steel is275 N/mm?. The corner areas have an inner radius of rin = 5 mm and an external radius of rex = 15 mm. The four corner areas assemble a hollowed circle. The centroid of a semicircle (with a radiu

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Calculate the plastic moment capacity Mp of the steel rectangular hollow section shown in Figure Q1a. The yield strength of the steel is275 N/mm?. The corner areas have an inner radius of rin = 5 mm and an external radius of rex = 15 mm. The four corner areas assemble a hollowed circle. The centroid of a semicircle (with a radius of R) is located at a distance of 4R/3r to its bottom (indicated in Figure Q1b).

Using the lower bound theorem of plasticity, check whether a beam
with the above cross-section would withstand the loading condition
as shown in Figure Q1c:

Figure Q1a
Figure Q1b
Figure Q1c

Figure Q1a Figure Q1b Figure Q1c

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