Ex. Find the stress concentration factor of grooved shafts that loaded as shown , take 2=2, f = 0.15 j= T тв d a- _b_ _C-
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- QB2 SHEAR AND TORSION An aircraft engine develops 150kW at 1500rpm. The engine output shaft is steel which fails when the shear stress is 160N/mm². a) If the output shaft is solid, determine a suitable diameter to give a safety factor of three. b) If the shaft is hollow with an external diameter of 50mm, calculate a suitable internal diameter to give a safety factor of three. Also, determine the percentage saving in weight.An aircraft engine develops 150kW at 1500rpm. The engine output shaft is steel which failswhen the shear stress is 160N/mm2.a) If the output shaft is solid, determine a suitable diameter to give a safety factor of three.b) If the shaft is hollow with an external diameter of 50mm, calculate a suitable internaldiameter to give a safety factor of three. Also, determine the percentage saving in weight.Design analysis q8
- 4) A stepped steel shaft, shown below, is used in a spur gear reducer. The shaft is subjected to a constant axial stress (A=40 MPa), a constant bending stress due to loads by bearings and gears (M=60 MPa), and a steady torque (T=80 MPa) during shaft rotation. Neglect the stress concentration factors (we will cover this next week) that result from the stepped shaft geometry. The shaft is made of steel with Su=1006 MPa, Sy=648 MPa, and HB-229. The size of the shaft results in a gradient factor of CG=0.9. The shaft has a fine-ground finish. A 95% reliability is required. Calculate the safety factor relative to infinite life (106 cycles). If the safety factor is less than one (i.e., shaft fails), find the number of cycles to failure. (60) M d MGiven is a thin-walled tube with the following data:Wall thickness- 3mmTorque is 900 N.mLength of the thin walled tube is 1.2 m.Use G=24 GPa for aluminium Determine the following:a. Enclosed Areab. Perimeter of the thin walled tubec. Shear flowd. Shear stresse. Angle of twistQUA four stroke internal combustion engine has the following specifications: Brake power 7.5 kW; Speed 1000 r.p.m.; Indicated mean effective pressure 0.35 N/mm2; Maximum gas pressure 3.5 N/mm2; Mechanical efficiency - 80 %. Determine: 1. The dimesions of the cylinder, if the length of stroke is 1.4 times the bore of the cylinder: 2. Wall thickness of the cylinder, if the hoop stress is 35 MPa: 3. Thickness of the cylinder head and the size of studs when the permissible stresses for the cylinder head and stud materials are 45 MPa and 65 MPa respectively. Any other data required for the design may be assumed.
- 4Do pleaseA pipe with an outside diameter of 55 in. and an inside diameter of 5.067 in. is subjected to an axial force of P,-660 lIb, a horizontal force of P,-1520 lb, and a concentrated torque of T-2770 lb-in, acting in the directions shown. Assume a- 29 in. Section properties for the pipe are A-35936 in2, J-25.1213 in.", and I,-1,-12.5606 in.. Determine the normal and shear stresses at point K, and show these stresses on a stress element K T. Answer: psi Ty" psi
- Question is mentioned in imageQ2: A rotating steel shaft shown: camied by bearings A and E. Machined surface. S - 500 MPa, reliability is 90%, r-3 mm. What is the life of the shaft if design factor 3? 100 100 - 300 15 kN 200- A 304 3rB -3r 35 450Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880 N and T=432 N. The maximum bending moment is at x= 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). 230 mm T, 280 mm 30-mm dia. T, 300 mm 250-mm dia. 400-mm dia. 270 Nx 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. : b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. (; c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka and k, in Eq. 6-18 and assume all remaining factors…