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Exam Title: Design of mixer rod In the picture below, a mixer for liquid is presented. x(t) III T, @ II X B D Tasks 1. Calculate maximal values for following internal loads: bending moment /Max/shear force /Qmax/and moment of twist /Tma. Graphically show them on the structure where they act. 2. Identify most dangerous section I, II or III. Explain how it is identified. Use that section in further tasks. 3. Calculate rod diameter of mixer d due to bending and due to torsion. What kind of loading is related with the greater value of rod diameter? Use the greater diameter for further tasks. 4. For the most dangerous section, what are stress values due to bending, torsion and shear? 5. For the most dangerous section use superposition of stresses at the points A, B, C and D shown. 6. For the points A, B, C and D write stress tensors GA, GB, Gc and op using superposed stresses. 7. Which point represents maximal principal stress: A, B, C or D? Demonstrate how that result is obtained. 8. What is value of cyclic constant re due to operational conditions shown? 9. Calculate slope coefficient m according to the presented graph o-N if the number of cycles at the fatigue stress point is N=1x105. L h Rod q Z EX X بنا

10. If angular frequency is 2Hz, how much time (hours) will you use mixer until the mixer rod reaches a;? Use the most dangerous point (A, B, C or D) to calculate maximal cyclic stress max? Use Eq.1. Omax, MPa Ou OY Omax=? Fall NOmax)=? 900 800 700 600 500 400 300 200 N-1E+06 N=1 100 +0.25 0 1.00E-01 1.00E+00 1.00E+01 1.00E+02 1.00E+03 1.00E+04 1.00E+05 1.00E+06 N, cycles Slope coefficient m (according to the graph shown above) Of = ON=1Nj (1) lgo, =lgon=1-mlgN, lgof-lgon=1=-mlgN, lg(ar)=-migN₁ -m= JN=1 IgN -m= ... Use calculated slope coefficient -m and max at the most loaded point, and by using Eq.1, calculate N₁ (max) = ... Data will be given by Teacher: Mixer dimensions: L, h, b [m] Mechanical properties of mixer material: o, oy, safety factor nail- Loads: q [kN/m²] or Q [kN], M₂=Q*z [kNm] Kinethics: angular [Hz] Cyclic properties (data shown above in the graph): 0, N₁, (re calculate) ON=1 6