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- What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?A propeller shaft of solid circular cross section and diameter d is spliced by a collar of the same material (see figure). The collar is securely bonded to both parts of the shaft. What should be the minimum outer diameter dyof the collar in order that the splice can transmit the same power as the solid shaft?Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
- 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 flanged protective type coupling is required to transmit 50 kW at 2000 r.p.m.. Find: (a) Shaft diameters if the driving shaft is hollow with d, I d, = 0.6 and driven shaft is a solid shaft. %3D Take t = 100 MPa. (b) Diameter of bolts, if the coupling uses four bolts. Take o = o, = 70 MPa and t = 25 MPa. Assume pitch circle diameter as about 3 times the outside diameter of the hollow shaft. Thickness of the flange and diameter of the hub. Assume o.= 100 MPa and t= 125 MPa. (c) (d) Make a neat free hand sketch of the assembled coupling showing a longitudinal sectional elevation with the main dimensions. The other dimensions may be assumed suitably.Design a rigid flange coupling to transmit a torque of 250N-m between two coaxial shafts. The shaft is made of alloy steel, flanges out of cast iron and bolts out of steel. Four bolts are used to couple the flanges. The shafts are keyed to the flange hub. The permissible stresses are given below: Shear stress on shaft =100MPa Bearing or crushing stress on shaft =250MPa Shear stress on keys =100MPa Bearing stress on keys = 250MPa Shearing stress on cast iron = 200Mpa Shear stress on bolts =100MPa Torque = 257N-m
- Write legibly, provide manual step by step solution, and diagram for below given problem. A 2.5 in diameter 10 spline shaft ( d= 0.86D, w= 0.156D, h= 0.07D ) to slide when not under load has a compressive force of 2500 lb. Find the torque applied if hub length is 1 1/2 in. Ans. 2906.25 in-lbA mild steel shaft has to transmit 75 kW at 200 rpm. Design a cast Iron flange coupling for the shaft. The allowable stresses are Shear stress for the shaft and keys 40 N/mm²Shear stress for bolts = 28 N/mm²Shear stress for C.I. coupling = 20 N/mm² Take wearing stress as twice the shear stress value and number of bolts for coupling as 6.A flanged protective type coupling is required to transmit 50 kW at 2000 r.p.m.. Find : (a) Shaft diameters if the driving shaft is hollow with di / do = 0.6 and driven shaft is a solid shaft. Take τ = 100 MPa. (b) Diameter of bolts, if the coupling uses four bolts. Take σc = σt = 70 MPa and τ = 25 MPa. Assume pitch circle diameter as about 3 times the outside diameter of the hollow shaft. (c) Thickness of the flange and diameter of the hub. Assume σc = 100 MPa and τ = 125 MPa.
- Q/A shaft supported at the ends in ball bearings carries a straight tooth spur gear at its mid span and is to transmit 7.5 kW at 300 r.p.m. The pitch circle diameter of the gear is 150 mm. The distances between the centre line of bearings and gear are 100 mm each. If the shaft is made of steel and the allowable shear stress is 45 MPa, determine the diameter of the shaft. Show in a sketch how the gear will be mounted on the shaft; also indicate the ends where the bearings will be mounted? The pressure angle of the gear may be taken as 20°.How :- A flanged Coupling having six bolts placed at a pitch airde diameter of isomm Connects two lengths of selid steel Shafting of the same diameter. The shaft is vequived to trans rmit Ro kw * 240 veulmin, Assuming the allownble intensities of shering stress in the shaft and bolts are 75 MPa and ss MPa vespectively and the makimum torque is .4 times the mean torque, find:. O the diameter of the shaft. 9. Hhe diameter of the bolts.A horizontal shaft AD supported in bearings at A and B and carrying pulleys at C and D is totransmit 75 kW at 500 r.p.m. from drive pulley D to off-take pulley C, Calculate the diameter of shaft. The data given is : P1 = 2 P2 (both horizontal), Q1 = 2 Q2 (bothvertical), radius of pulley C = 220 mm, radius of pulley D = 160 mm, allowable shear stress = 45 MPa.[Ans. 100 mm] Given CD=350mm CA=100mm AB=150mm BD=100mm