A solid shaft with a yield strength of 500 MPa subjected to a torque of 60N.m and bending moment of 701 Determine its diameter according to maximum shear stress theory.
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- 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).A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0 in. (see figure), A torque T = 500 lb-in. acts on the shaft. Determine the shear stress at the stress concentration for values as follows: D1= 0.7,0.8, and 0.9 in. Plot a graph showing versus D?
- A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?A hollow shaft and a solid shaft constructed of the same material have the same length and the same outer radius. The inner radius R of the hollow shaft is 0.6R. Assuming that both shafts are subjected to the same torque, compare their shear stresses, angle of twist and weights.Calculate the maximum and minimum shear stress in a hollow circular shaft of outer diameter 20 mm and thickness 2 mm, subjected to a torque of 92.7 N-m.
- A mild steel shaft of 50mm diameter is subjected to a bending moment of 1.9kNm. If the yield point of the steel in simple tension is 200MPa, find the maximum torque that can be applied according to the Maximum Shear Stress Criterion.1. A solid circular shaft transmits 75 kW power at 200 rpm. Calculate the diameter of the shaft and the maximum shear stress acting on it, if the twist in the shaft is not exceeding 1° in 2 m length of the shaft. Take modulus of rigidity as 102 GPa.Ahollow shaft with an external diameter of 150 mm transmits a maximum torque of 13 kNm. The shaft length is 5 m,and the maximum shear stress is limited to 40 MPa. If G = 84 x 103N/mm2, calculate;2.1 the internal diameter of the shaft.2.2 the angle of twist in degrees.2.3 the minimum shear stress in the shaft.
- Two designs for a shaft are being considered. Both have an outside diameter of 80 m and are 100 cm long. One is solid but the other is hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque of T N. m. the missing Torque (T) = 199.A solid circular shaft transmits 75 kW power at 200 rpm. Calculatethe diameter of the shaft and the maximum shear stress acting on it,if the twist in the shaft is not exceeding 1 º in 2 m length of the shaft.Take modulus of rigidity as 102 GPa.A mild steel shaft of 53 mm diameter is subjected to a bending moment of 1477158 N-mm and a torque T N-mm. If the yield point of the steel in tension is 322 Mpa, find the maximum value of this torque without causing yielding of the shaft according to maximum shear stress