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.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 M1) 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 moment that results in a variable stress (M=60 MPa) due to loads by bearings and gears, and a steady torque (T-80 MPa). However, these stress values do not take into account stress concentration factors. The shaft has a D=45 mm, d=30 mm, and r=6 mm, resulting in kr,bend=1.34, Kr,axial=1.48, and kf,tor 1.2. The shaft is made of steel with S₁=1006 MPa, S,=648 MPa, and H₂=229. The size of the shaft results in a gradient factor of CG=0.9. The shaft has a fine-ground finish. A 90% reliability is required. Verify the stress concentration factors are correct for this shaft geometry. Calculate the safety factor relative to infinite life (105 cycles). If the safety factor is less than one (i.e., shaft fails), find the number of cycles to failure. (60) M
- PLEASE ANSWER NUMBER 3.43 MECH 222: PLEASE GIVE DETAILED SOLUTIONS AND CORRECT ANSWERS. I WILL REPORT TO BARTLEBY THOSE TUTORS WHO WILL GIVE INCORRECT ANSWERS.Given is a thin-walled tube with the following data: Wall thickness- 2mmABC is a sector with a radius of 50 mmAOD & COD is a triangleTorque is 1000 N.mLength of the thin walled tube is 0.5 mUse G=24 GPa for aluminium Determine the following:a. Enclosed Areab. Perimeter of the thin walled tubec. Shear flowd. Shear stresse. Angle of twistPlease give step by step solution other wise don't answer I will report to Bartley team. A medium carbon steel shaft transmits 25 kW at 450 r.p.m. The diameter of shaft is 40 mm. A square key is used whose one side is equal to 1/4th of the shaft diameter and whose length is equal to 1.5 times of the shaft diameter. Find the dimensions of the key and check the key for the induced shearing stress and crushing stress.
- A sleeve made of AISI 1040 CD steel has inner and outer diameters 40mm and 50mm, respectively. It is press fit on a solid shaft of same material with diameter 42mm such that the nominal diameter between sleeve and shaft became 41mm. a. Find the pressure developed between shaft and sleeve. b. Draw the tangential, radial, and total stress as a function of radius, for both sleeve and shaft. c. Find the maximum shaft diameter that can be used before failure.The figure shows an inboard engine, 8-ft long steel drive shaft, and propeller for a motor boat. The shaft is to be designed to safely transmit 200 hp at 3500 rev/ min. Determine the diameter of the smallest shaft that can be used and its corresponding angle of twist. For the steel, use a working shear stress of 12 000 psi and G = 12 x 106 psifind, a) diameter b) angle of twistanswer number 3 for 30 minutes
- show formula and calculation as fast as , don't hold the question for longer time. 1) The 2.3-in.-diameter drive shaft AB on the helicopter in (Figure 1) is subjected to an axial tension of 10 000 lb and a torque of 345 lb⋅ft. Determine the principal stresses and the maximum in-plane shear stress that act at a point on the surface of the shaft.Problem: 3 Find the diameter of a solid steel shaft to transmit 18 kW at 990 r.p.m. The ultimate shear stress for the steel may be taken as 450 MPa and a factor of safety as 9. If a hollow shaft is to be used in place of the solid shaft, find the inside and outside Diameter when the ratio of inside to outside diameters is 0.75.SolveSample Problem 4.1.All remain as presented, except for the following changes.The factor ofsafety is now 2, and not 3.As Presented, the thickness of the tube is uniform. In the new one that you are solving,let the thicknessesof the top and bottom be the same,ttb, and the thicknesses of theleft and right be the same,tlr.Theheightand the width of the tube are still respectively 5 in and 3.25 in.As you make thesethickness changes,you are to keep thetotal mass of the tube unchanged. Answer the same questions (a) and (b).Explain your findings
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