Question

A beam with cross-section as shown in Figure 2(a) is made of an elasto-plastic material. The stress- strain relationship of the material is as shown in Figure 2(b) (a) A bending moment is applied to this section and increased until the entire top flange yielded Calculate the magnitude of the moment at this stage of loading (b) Determine the yield moment of the beam (c) Determine the ultimate moment capacity of the beam (d) Determine the shape factor of the beam 200 (MPa) 20 250 20 200 -0.001 0.001 E -250 Unit: mm (b) (a) Figure 2

A beam with cross-section as shown in Figure 2(a) is made of an elasto-plastic material. The stressstrain relationship of the material is as shown in Figure 2(b): (a) A bending moment is applied to this section and increased until the entire top flange yielded. Calculate the magnitude of the moment at this stage of loading. (b) Determine the yield moment of the beam (c) Determine the ultimate moment capacity of the beam (d) Determine the shape factor of the beam

NOTE: Can you solve for diagram (a) flipped 180 degrees with same dimensions.

Answer 1

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