A segment of a generator shaft is subjected to a torque T and an axial force P, as shown in the Figure Q3. The shaft is hollow (outer diameter d2= 300 mm and inner diameter di = 250 mm) and delivers 1800 kW at 4.0 Hz. If the compressive force P = 540 kN, determine the stresses produced and the state of plane stress on its surface. Calculate the principal stresses and the maximum in-plane shear stress in the shaft. Specify the orientation of the element in each case. (а) (b)

Consider the loaded shaft illustrated in Figure Q4 (i). The shaft is simply supported at A and D. The shoulder fillet radius is 0.3 cm at B and C. If the shaft is subjected to a force of F-800 N, determine the following: (a) The reaction forces at the two ends of the shaft A and D. (b) The bending moments at shoulder fillets B andC. (c) The nominal stresses at shoulder fillets B and C. (d) The stress concentration factor at shoulder fillet B. (e) The maximum stress in the shaft taking into account stress concentrations. 800 N T-0.3 can A d, - 3 cm d, = 5 cm d, - 3 cm 5 cm 8 cm 8 cm 12 cm Figure Q4 (i) The reference parameters are shown in Figure Q4 (ii) in the page that follows. For 0.002 srlds 0.3 and 1.01 s Dlds 6.0, the stress concentration factor for bar bending is given as: kn -4.4 = 0.632 + 0.377 -0.14 – 0.363(P/a)" + 0.503(P/a) 1- 2.39(P/a) + 3.368(2la)* -0.5 The nominal stress is: 32M %3D nd3

For the rod in the figure, an allowable stress of 10 ksi, calculate the maximum torque T which can be applied. d= 0.5 in, D= 0.835 in, r= 0.045 in .

5. The shaft shown in the figure is made from a steel tube, which is bonded to a brass core. If a torque of T = 227 Ib-ft is applied at its end, calculate the absolute maximum shear stress developed in each of steel tube, and brass core. The end of the shaft is attached to rigid supports (fixed supports). Take Gst = 11.4 X 10³ ksi, and Gpr = 5.2 X 10³ ksi. В 0.5 in., 4 ft 1 in. A T = 2271b ft

T.L Tr4 %3D J = " (r* – rf) (Tubular shaft) Tr (Solid shaft) G.J 3. The shaft in the figure below consists of 75 mm diameter bronze segment that is rigidly joint to 50 diameter steel segment. The ends of the shaft are attached to rigid supports (fixed supports). Calculate the absolute maximum shear stress developed in each segment when the torque T= 5.1 kN-m is applied (a = 2 m and b = 1.5 m). Use G = 35 GPa for bronze, and G = 75 GPa for steel. (21 pts) 75 mm 50 mm Bronze Steel

A segment of a generator shaft is subjected to a torque T and an axial force P, as shownin the Figure Q3. The shaft is hollow (outer diameter d2 = 307 mm and inner diameterd1 = 250 mm) and delivers 1800 kW at 4.0 Hz (a) If the compressive force P = 540 kN, determine the stresses produced and thestate of plane stress on its surface. (b) Calculate the principal stresses and the maximum in-plane shear stress in theshaft. Specify the orientation of the element in each case.

Could you please solve A, B and C

5 - A thin-walled pressure vessel is subjected to internal pressure p 1 MPa. What is the maximum allowable torque T, applied along the longitudinal axis, if the maximum allowable tensile stress is 80 MPa? ↓t=3mm 240mm polar moment of inertia J=2r³t

A circular hollow shaft is subjected to a torsional moment T = 30 kNm and a compressiveload P = 80 kN, as shown. The shaft has an outer diameter D = 120 mmand inner diameter d = 100 mm. Points A and B are on the surface of the shaft. (a)Calculate the direct and shear stress at point A. (b)Calculate the maximum,minimum and oriention of the max and min principal stresses at point A. (c)Calculate the maximum in-plane shear stress at point A and the orientation.

A hard-drawn steel wire extension spring has a spring index Of 7.5, hook radii of r = 0.106 in and r2 0.089 in, and an initial tension of 1.5 lbf. The number of body turns is 13.5 and the uncorrected initial stress is 16.5 kpsi. From the given information: (a) Determine the physical parameters of the spring. (b) Find all stresses at ends A and B and the body torsion under the static load of 6 Ibf.