Aluminum collar Brass core 350 mm 25 mm 40 mm

5. (a) (b) (c) Koo D d An Aluminium alloy (6061-T6) circular tube (Fig.Q5) used for vehicle fittings is under axial compression. The tube has a length L = 5m, outer diameter D = 65mm and inner diameter d = 55mm. The Young's modulus of Aluminium alloy 6061-T6 is E= 68.9 GPa and yield strength ay = 276 MPa. Determine the buckling load with the Euler formula, assuming the tube to be pin-jointed at the two ends Determine the buckling load with the Euler formula, assuming the tube to be fixed at the two ends Assuming the tube to be pin-jointed at both ends, determine the length of the tube, below which the Euler formula is no longer valid Fig.Q5 L-

Problem 15 The compound bar shown below is made of a light, strong material with E= 70,000 N/mm². Two forces are applied to the rigid plates connecting the bars. The yield strength is o, = 200 N/mm². The bar has a rectangular cross section with height H = 12.5 mm and thickness t = 1.0 mm. You may neglect the weight of the bars. (a) Calculate the x-direction internal force in segments AB and BC of the compound bar. Show all work. (b) Calculate the total length change of the compound bar. (c) The plane 1-2 represents a lap joint. Calculate the normal stress on the lap joint. L₂= 625 mm A L₁ = 775 mm H = 12.5 mm X 1800 N B 1 H = 12.5 mm =35° 2 F₂ = 1000 N Cross section H-12 H = 12.5 mm t = 1.0 mm