A solid transmission shaft has length 10 m and diameter 100 mm. The shaft issupported by frictionless bearing at ends that acts as simple supports. In additionto its self-weight acting as a uniformly distributed load per unit length, anoperational torque of 5t kN-m is also applied. The density and yield strength of thematerial are 8000 kg/m3 and 350 MPa respectively. Use g = 10 m/s2 and ignore theeffect of transverse shear stress. The factor of safety of the shaft as per Tresca(rounded off to two decimal places)%3Dcriterion is

Answered: Image /qna-images/answer/53e2e3ff-a0c5-4398-91cf-5b6d18cd2ebf.jpg

A solid transmission shaft has length 10 m and diameter 100 mm. The shaft is supported by frictionless bearing at ends that acts as simple supports. In addition to its self-weight acting as a uniformly distributed load per unit length, an operational torque of 5m kN-m is also applied. The density and yield strength of the material are 8000 kg/m3 and 350 MPa respectively. Use g = 10 m/s2 and ignore the effect of transverse shear stress. The factor of safety of the shaft as per Tresca - (rounded off to two decimal places) %3D criterion is

A solid transmission shaft has length 10 m and diameter 100 mm. The shaft is supported by frictionless bearing at ends that acts as simple supports. In addition to its self-weight acting as a uniformly distributed load per unit length, an operational torque of 5m kN-m is also applied. The density and yield strength of the material are 8000 kg/m3 and 350 MPa respectively. Use g = 10 m/s2 and ignore the effect of transverse shear stress. The factor of safety of the shaft as per Tresca - (rounded off to two decimal places) %3D criterion is

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 3.8.9P: Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a...

See similar textbooks

Similar questions

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).
Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a concentrated torque 4000 kip-in. at x = 3 ft, and a uniformly distributed torque t0= 50 kip-ft/ft is applied on pipe BC. Let G = 11,800 ksi and assume that pipes AB and BC have the same inner diameter, d = 12 in. Pipe AB has a thickness tAB= 3/4 in., and pipe BC has a thickness tBC= 5/8 in. Find the reactive torques at A and C and the maximum shear stresses in each segment.
A heavy flywheel rotating at n revolutions per minute is rigidly attached to the end of a shaft of diameter d (see figure). If the bearing at A suddenly freezes, what will be the maximum angle of twist <£of the shaft? What is the corresponding maximum shear stress in the shaft? (Let L = length of the shaft, G = shear modulus of elasticity, and / = mass moment of inertia of the flywheel about the axis of the shaft. Also, disregard friction in the bearings at Sand Cand disregard the mass of the shaft.) Hint: Equate the kinetic energy of the rotating flywheel to the strain energy of the shaft.
Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
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).
.17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.
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 turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by k = 3,000 N-m/rad and k2 = 4,000 N-m/rad. The turbine generates a harmonic torque given by M(1) = Mo cos wt about the shaft axis with M, = 200 N-m and w = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is J, = 0.05 kg-m?. Assuming the equivalent torsional damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 0(1). O(1) M(1) = Mg cos etr %3! Turbine rotor, Jo
15 mm diameter shaft rotates in long fixed bearings 60 cm apart. A rotor of mass 20 kg is mounted at mid span. The mass center of rotor is 0.5 mm from the shaft axis. If the bending stress in the shaft is not to exceed 120 MPa. Find range of speed over which the shaft must not run. Take modulus of elasticity for the shaft material as 200kN/m².
A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by k = 3.000 N-m/rad and k2 = 4,000 N-m/rad. The turbine generates a hamonic torque given by M(1) = Mo cos ot about the shaft axis with Mg = 200 N-m and as = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is h = 0.05 kg-m. Assuming the equivalent tosional damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 6(1). ka M() = Ma cos e Turbine rotor, Jo A 50-kg turbine is mounted on four parallel springs, each of stiffness of 3 x 10° N/m When the machine operates at 40 Hz. its steady-state amplitude is observed as 1.8 mm What is the magnitude of the excitation? Given m = 50 kg. k = 3x 10 Nm. e = 40 Hz. X= 1.8 mm Find: Fe
Please no plagiarsm and copy the answer from the chegg thanks A rectangular wooden beam (fb = 5.9 MPa, E = 17.3 GPa) has a cross-sectionalarea of 250 mmby 500 mm. The length of the beam is 15 meters with pin and roller supports every fifth points. A vibratingmachine weighing 500 kg is located at the mid-lengthof the beam. The machine produces anunbalanced force of 500 N operating at 300 rpm.Determine the following: a) maximum static deformation under the weight of the machine,b) maximum dynamic stress in the beam section under the unbalanced force,c) force transmitted to the support, andd) adequacy of the beam against bending. Use a dampingratio of 5%.
т M1 M2 L1 L2 Two parts shaft of lengths L, = 2.5 m, L,=2.0 mis loaded by two concentrated moments M, = 5 kNm, M,=6 kNm and the distributed moment of the intensity m = 2 kNm/m Define the torque in the cross-section of shaft z = 3 m. Note: The torque is accepte as positive, if looking at the shaft section plane from outside , the moment actoin can be seen in the counter-clockwise direction