Q3-C- The 304 stainless steel shaft with modulus of rigidity 75 GPa and 3 m long has an outer diameter of 60 mm. When it is rotating at 60 rad/s, it transmits 30 kW of power from the engine E to the generator G. Determine the smallest thickness of the shaft if the allowable 150 MPa., and the shaft is restricted not to twist more than 0.08 rad. shear stress Tallow

Q3-C- The 304 stainless steel shaft with modulus of rigidity 75 GPa and 3 m long has an outer diameter of 60 mm. When it is rotating at 60 rad/s, it transmits 30 kW of power from the engine E to the generator G. Determine the smallest thickness of the shaft if the allowable 150 MPa., and the shaft is restricted not to twist more than 0.08 rad. shear stress Tallow

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

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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).
The A-36 hollow steel shaft is 2 m long and has an outer diameter of 40 mm. When it is rotating at 80 rad>s, it transmits 32 kW of power from the engine E to the generator G. Determine the smallest thickness of the shaft if the allowable shear stress is tallow = 140 MPa and the shaft is restricted not to twist more than 0.05 rad.
SS 304 steel shaft is 3 m long and has an outer diameter of60 mm. When it is rotating at 60 rad/s, it transmits 30 kWof power from the engine to the generator. Determine thefollowing: a. The smallest thickness of the shaft if the allowableshear stress is 150 MPa and the shaft is restricted notto twist more than 0.08 rad. Use G for steel = 83 GPa. b. The percentage savings in weight had the generatorutilized a solid shaft. Assume same material, length andtorque capacity.
The A-36 steel tubular shaft is 2 m long and has an outer diameter of 50 mm. When it is rotating at 40 rad>s, it transmits 25 kW of power from the motor M to the pump P. Determine the smallest thickness of the tube if the allowable shear stress is tallow = 80 MPa.
Q3: The shaft consists of three concentric tubes, each made from the same material and having inner and outer radii as given below. Length of shaft is 2m. One end is fixed to the wall and to the other end a disc is attached. If a torque ofT =800 N.m is applied at the disc end, determine the maximum shear stress in the shaft. 1. Inner tube: r¡ = 20mm, r, = 25 mm 2. Center tube: r; = 26 mm, r, = 30 mm 3. Outer tube: r; = 32mm, r, = 38mm
Q2. A mild steel shaft transmits 21 kW at 250 r.p.m. It carries a central load of 900 N and is simply supported between the bearings 2.5 metres apart. Determine the size of the shaft, if the allowable shear stress is 42 MPa and the maximum tensile or compressive stress is not to exceed 56 MPa.
The internal loadings at a critical section along the steel drive shaft of a ship are calculated to be a torque of 2300 lb # ft, a bending moment of 1500 lb # ft, and an axial thrust of 2500 lb. If the yield points for tension and shear are sY = 100 ksi and tY = 50 ksi, respectively, determine the required diameter ofthe shaft using the maximum shear stress theory.
The drive shaft AB of an automobile is to be designed as a thin-walled tube. The engine delivers 150 hp when the shaft is turning at 1000 rev>min. Determine the minimum thickness of the shaft’s wall if the shaft’s outerdiameter is 2.5 in. The material has allowable shear stress of tallow = 7 ksi.
A motor delivers 500 hp to the shaft, which is tubular and has an outer diameter of 2 in. If it is rotating at 200 rad>s, determine its largest inner diameter to the nearest 1 8 in. if the allowable shear stress for the material is tallow = 25 ksi.
The shaft consisting of steel andaluminum segments carries thetorques T and 2T as shown in thefigure. Find the largestallowable value of T if theallowable shear stresses are 83MPa for steel and 55 MPa foraluminum, and the angle of rotationat the free end must not exceed 6°.Use G = 83GPa for steel and 28GPa for aluminum.
The shaft assembly is made from a steel tube 1 in. in diameter, which is bonded to a solid brass core 0.5 in. in diameter. If a torque of 250 lb-ft is applied at its end, determine the maximum shear stress in psi experienced by the assembly. Take G for steel at 11.4x103 ksi and G brass at 5.2 x 103 ksi. complete soln.
Q2. A mild steel shaft transmits ‘P’ kW at ‘N’ r.p.m. It carries a central load of 900 N and is simply supported between the bearings 2.5 metres apart. Determine the size of the shaft, if the allowable shear stress is 42 MPa and the maximum tensile or compressive stress is not to exceed 56 MPa. Power P in KW= 25 , Speed N in rpm=150