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Machine Elements
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- Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
- A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).The armature shaft of a 50 kW, 580 rpm electric motor, mounted on two bearings A and B, is shown in Fig. The total magnetic pull on the armature is 5 kN and it can be assumed to be uniformly distributed over a length of 400 mm midway between the bearings. The shaft is made of steel with an ultimate tensile strength of 770 N/mm2 and yield strength of 580 N/mm2. Determine the shaft diameter using the ASME code if, kb=1.5 and kt=1.0 Assume that the pulley is keyed to the shaft.A motor (located at C) provides 50kW of power which is then used by pulleys A and B. When the motor is running, the transmission shaft (which is made of Cr-Ni steel and has a diameter of 5cm) starts rotating at a speed of 200 rpm. 1) Find the moment of force at pulleys A, B and C. 2) Find the torque in each section (between the pulleys). 3) What is the safety factor of the driveshaft on the ultimate limit?
- A torsion dynamometer is fitted on a turbine shaft to measure the angle of twist. It is observed that the shaft twists 1.5° in a length of 5 metres at 500 r.p.m. The shaft is solid and has a diameter of 200 mm. If the modulus of rigidity for the shaft material is 85 GPa, find the power transmitted by the turbine.A motor provides 60 hp power to a wheel B. It rotates a solid shaft in AISI 1020 steel, 4 cm in diameter, at a speed of 300 rpm. Power is drawn from the shaft using belts attached to pulleys A and C. (Use the table if necessary) (a) Draw the torque diagram of the driven shaft. (b) What is the safety factor of the driven shaft? Answer: 5.22 (c) Determine the angle of torsion of pulley C with respect to pulley A. Answer: -1.88°An arrow is shown, where the most critical part (r) of said arrow is observed.to. It is designed with approximate relative sizes of d = 0.65D and r = D/15 with the diameter d conforming to the size of the inner diameters of standard metric bearings.b. It is made of SAE 2340 steel, heat treated to obtain minimum strengths in the shoulder area of Sut = 1226 MPa and Sy = 1130 MPa.c. At the shoulder, the arrow is subjected to a completely reversible bending moment of M = 80N and a uniform torque of T = 55Nmd. It has a safety factor n = 2 Determine the dimensions of the shaft for infinite life.
- The following shaft, having a diameter of 20 mm, is made of steel (Sut = 520 MPa, Se = 260 MPa) and is subjected to a fully reversed transverse force F = 120 N and a fully reversed torque T = 60 N.m. The shaft is fixed at its left end. Find the factor of safety at A for infinite lifetime using the modified Goodman diagram.The shaft of a motor has a length of 15 times its diameter and has a maximum twist of 1.5degrees when twisted at 2.5 KN-m torque. If the modulus of rigidity of the shaft is 83 Gpa,find the shaft diameter in mAn electric car has wheels of diameter 690 mm. The gear ratio (wheel speed : motor speed) is 0.38. How much traction does it generate when the motor is running at 9000 rpm? (Note: an imperial lb-ft is 1.36 Nm) msc a) 1152N b)1555N c)0N d)225N