A solid steel shaft supports loads PA- 170 lb and Pp- 320 lb as shown. Assume that LaB- 9 in, Lac- 33 in, and Lo- 15 in. The bearing at B can be idealized as a roller support, and the bearing at C can be idealized as a pin support. If the allowable bending stress is 6.7 ksi, determine the minimum diameter that can be used for the shaft. Lạc LCD Po in. Answer:dmin -
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- A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.The sbaft shown overhangs a bearing on the right and has the following dimensions: a - 5 in., b - 4 in., and - 10 in. The material is AISI C1040. annealed. This shaft is subjected to a torque T 10,000 in-lb., forces F - 10,000 lb. and F, 20,000 lb. Using a atatio-design approach, determine the diameter D for N 2.5, with eomputa- %3D Answer: a) Dia. = _inches %3D %3D %3D tions from the maximum shear stress theory. Note: Use Sy = 48,000 psi F2 N Msections B and C, respectively with a bending load P on section B. Design the diameters at sections B and C (d, and d2). Given: TR = 3 kN.m, Tc = 1 kN.m, P = 2 kN, Tw 90 Mра. Q3: A stepped shaft ABC with fixed end at A carries the torques Tg and Tc on 500 mm TB d, Tc
- A 45-mm-diameter solid steel shaft supports loads PA-1.2 KN and Pc-2.7 kN as shown. Assume that L₁ - 105 mm, L₂ = 205 mm, and 43-150 mm. The bearing at B can be idealized as a roller support, and the bearing at D can be idealized as a pin support. Determine the magnitude of (a) the maximum horizontal shear stress in the shaft. (b) the maximum tension bending stress in the shaft. L₂ C Pc Ly DQ3/A solid circular shaft is subjected to a bending moment of 3000 N.m and a torque of 10000 N.m. The shaft is made of 45 C 8 steel having tensile stress of 116 MPa and a shear stress of 83 MPa. determine the diameter of the shaft.A flanged bolt coupling is used to connect a solid shaft 90 mm in diameter to a hollow shaft 100 mm in outsude diameter and 90 mm in inside diameter. If the allowable aring stress in the shafts and the bolts is 60 MPa, how many 10 mm diameter steel bolts must be used on a 200 mm diameter bolt circle so that the coupling will be as strong as the weaker shaft?
- 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 steel shaft of a socket wrench has adiameter of 8.0 mm and a length of 200 mm (seefigure).If the allowable stress in shear is 60 MPa, whatis the maximum permissible torque Tmax that may beexerted with the wrench?Through what angle f (in degrees) will the shafttwist under the action of the maximum torque?(Assume G = 78 GPa and disregard any bending ofthe shaft.)A alm T 1.20 m T B 1.20 m C 3 T The 60 mm diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of Tallow 80 MPa. Find the corresponding angle of twist of disk A relative to disk C. Note: You will need to calculate the maximum allowable torque T first. Provide your answer for angle of twist in radians with 3 significant figures after the decimal point.
- The end of a 2.5 in diameter steel shaft is milled to two flats (one flat on the top and one flat at the bottom) to permit the use of a hand crank. Each flat is located 1.00 in from the center of the shaft. A torque of 750 Ib-in is applied. Find: (a) the maximum shear stress at the end of the shaft with two flats in psi unit. (b) the angle of twist in fadians (c) the angle of twist in degrees h= 1.0 in h= 1.0 in d= 2.50 in Show all your calculations.at B. The allowable shear stress in the steel is 40 MPa. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the with diameterd = 38 mm transmits 37 kw malit X7-3A motor driving a solid circular steel shat shaft does not exceed the allowable limit. Motor d = 38 mmTorsional T is applied to the hollow axis (G=80 GPa). Ewha Womans University, the maximum shear strain is γmax = 640 × 10-6rad Igo, inside andThe outside diameters are 120mm and 150mm, respectively.a. What is the maximum axial strain?b. Maximum axial stress?c. What is the maximum torque (T) meeting the above conditions?