a vertical hollow circular shaft of aluminum shown below fixed at the top has a load P equal to 150KN exerted on its lower end. neglecting self weight, determine the minimum outer diameter d2 and maximum inner diameter d1 if a) the allowable stress = 50MPa b)the allowable elongation =2mm the thickness of the material is one tenth of the outer diameter and young modulus E = 80000MPA

Question 1 A steel bar with length of 4.5 m is subjected to forces as shown in the figure: 1. Determine the stress in the square section 2. Determine the elongation of each sections Take the modules of elasticity for the bar is 200 GPa Circular section Square section Circular section Diameter =15 mm Area =20 mm*20mm Diameter =10 mm 50 kN 35 kN 30 kN 45 kN 1 m 2 m 1.5 m

a) Determine the tensile force T’ in the rope on the side connected to joint B: b) Determine the internal compressive normal force ƒBC in the tube BC: c) Determine the horizontal reaction force Rx and the vertical reaction force Ry in joint A: d) Determine the moment M of the center of bar AB: e) Determine the compressive stress σBC in the tube BC: f) Determine the critical load Pc for the tube BC: g) Which of the following statements about the tube BC is correct: A. The tube BC fails due to yielding B. The tube BC fails due to buckling C. The tube BC fails due to both yielding and buckling D. The tube BC is safe against both yielding and buckling h) Pin C has a diameter of 30 mm; calculate the shear stress τ of the pin C, when considering one cross-section for shear stress calculation:

1. The steel shaft carries the axial loads as shown in the figure below. Determine the change in overall length of the shaft caused by these loads given that P = 3100 Ib. The cross-sectional area for each segment is shown in the figure. Use E = 29 X 10° psi for steel. %3D A = 0.75 in.² ЗР A = 1.0 in.² A = 0.5 in.? 2P -P 4P e-3 ft- - 5 ft 4 ft→