MIET2490Advanced Mechanics of SolidsAssessment Task 1 - 2019Milestone e (Due by week 7)Question 1A thin-walled tube, 600 mm long, has a wall thickness of 2.0 mm and an initial mean diameter of 250 mm....

MIET2490Advanced Mechanics of SolidsAssessment Task 1 - 2019Milestone e (Due by week 7)Question 1A thin-walled tube, 600 mm long, has a wall thickness of 2.0 mm and an initial mean diameter of 250 mm. Theplastic stress-strain curve for the material is given by ( σ = 250 ε0.32 MPa). The tube is subject to axial load Fand internal pressure p so that the stress ratio σθ/σz = 1.4 at all times. The deformation continues until theeffective stress equals 200 MPa. Ignoring σr Determine:a. The effective strain at the end of the deformation process,b. The true strain components at the end of the deformation process,c. The final dimensions of the tube,d. The final axial load and internal pressure.Assume that the axial stress in not affected by the internal pressure.(12 marks)Question 2A cylindrical billet 20 mm diameter and 40 mm gauge length was elongated under tensile load to 50 mm, thencompressed to 30 mm. The material characteristic curve under axial loading is given by ( σ = 400 ε0.3 MPa).Ignoring the elastic deformation and Bauschinger effect, determine:a. The diameter of the billet after elongation,b. The final diameter of the billet after recompression,c. The equivalent strain and new yield stress of the elongated billet,d. The final equivalent strain and the yield stress after recompression to 30 mm,e. The force required to elongate the billet to 50 mm andf. The force needed to recompress the billet back to 30 mm.(10 marks)Question 3A plate of steel, 4 mm thick, 1000 mm long and 500 mm wide is stretched plastically 15% in the longitudinaldirection. The characteristic stress-strain curve of the material is given by ( σ = 500 ε0.3 MPa). Assuming thatthe width is restrained from contracting by lateral end grips, calculate(a) Final dimensions of the plate(b) State of stress at the end of the stretching process(c) Final stretching load.(8 marks)