Question

A beam with a cross section shown below is subjected to a positive moment about a horizontal axis. The beam is made from an elastic perfectly plastic material with an allowable yield stress of 220 MPa. "t" has a value of 12 mm. Answer the questions that follow: 10t 6t Determine the centroid of this section i.e.as measured from the bottom of the section in [mm) - Determine the moment of inertia about the elastic neutral axis in [mm4] Determine the maximum elastic moment, My in [kNm] Determine the plastic moment, Mp in [kNm] Determine the shape factor, k: Determine the residual stress in the beam if the plastic moment is removed. What is the residual stress at the top of the flange in [MPaj? Determine the residual stress in the beam if the lastic moment is removed What is the residual stress at the bottom of the flange in MPa]? Determine the residual stress in the beam if the plastic moment is removed What is the residual stress at the top of the web in [MPal? Determine the residual tress in the beam if the plastic moment is removed. What is the residual stress at the bottom of the web in [MPal?

Answer 1

SolM Allowobte vield Shessy220MmPg MElatic Moment CaPaciy- ze. Plastic Moment Capacity=epa, Ze zp ase Eladhi plastic 2mm 7/27mm 72 'mim "y=57mm 12 mm2 64 mm 57 864 X2 +1728 O 12x723+ 구2X12X2X[57-2272 INA.- 12x723+ 2 l2 2291328mi INA 2291328-4019874mm 57 51

4.〉 Rzp olaMeh iloophc arus depth 12 mm Neutal aS 72mm For plabhc NA , equating anea 3512) 288y 345 220 x72571 XI

(as per HOMEWORKLIB POLICY it is necessary to give atleast 1st four sub-part answer)