Question

(50 Marks) a) As part of the product development process for go-kart drive shaft, the engineer has instrumented a critical area of the shaft with a solid bar. A drive shaft bar is designed to carry a tensile load. The engineer has proposed a circular bar with cross-section having a radius of 2X mm. It carries an axial tensile load of İY0 kN. By using equation; i) Calculate the values of principal stresses at the critical area of the bar. ii) Determine the rotation of the longitudinal axis of the bar if the normal stress value after the rotation is 50 MPa. ii) If the load on the bar changed to 2XY kN, calculate the new principle stresses. iv) State the location of principal stresses in part (ii) to be maximum. Give your reason. b) A cylindrical tank holding oxygen at Y000 kPa pressure has an outside diameter of 500 mm and a wall thickness of 10 mm. It has been determined that a critical point on the tank is subjected to the tensile stress of 4XY MPa in x-direction, compressive stress of 3YO MPa in y-directio adscing stressof X00 MPa By using Mahr's Crde i) Sketch the plane stresses element for the critical point. ii) Determine the principal stresses and their locations. iii) Determine the maximum shearing stresses and their locations. iv) If the critical point on tank is rotated to an angle of 2Y° clockwise from the x-axis, determine the normal and shear stresses on the plane.

Answer 1

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