(7) A solid shaft of diameter X=18 mm and length of Y=1.4 m experiences torque using a short rod that is Z=520 mm long and is fixed at the open end of shaft experiencing the torque. The torque is created with the application of a 760 Nperpendicular force. The set-up is illustrated below in Figure Q7.Given the shaft has a shear modulus of 70 GPa, calculate the angle of twist in terms of degrees?State your answer to the nearest whole number.YmFigure Q7X mm750 NAZ mm

Answered: (7) A solid shaft of diameter X=18 mm…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...

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Similar questions

A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
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 hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
A solid circular bar A BCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques T0, as shown in the figure. The torques arc applied at points B and C each of which is located at distance x from one end of the bar. (The distance x may vary from zero to L/2.) For what distance x will the angle of twist at points B and C be a maximum? What is the corresponding angle of twist 0max?
A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
A solid circulai' aluminum bar AB is fixed at both ends and loaded by a uniformly distributed torque 150N·n/m. The bar has diameter d = 30 mm. Calculate the reactive torques at the supports and the angle of twist at midspan. Assume that G = 28 GPa.
A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (sec figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque (T0) that may be applied at section C? Find (T0)max if the maximum angle of twist is limited to 0.55º. Let G = 10,600 ksi.
Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?
Problem 3
The hollow rod shown below is 2.99 meters long and is subjected to a torque of 988 Nm at end B. The diameter of the rod is 30 mm and has a wall thickness of 5 mm. The shear modulus of the material is 80 GPa, calculate the angle of twist in radians at B. TNm B meters
A torsional bar is subjected to two external torques (10Nm and 5Nm) and a distributed torque(15Nm/m) at the locations indicated in the picture. The angle of twist at A (z = 0) is 0. Theshear modulus is 2GPa., if the bar has both A and C fixed (i.e., the torque applied at C is replaced by a fixed support), find the angle of twist at B.
A solid constant-diameter circular shaft is subjected to torques TA = 420 lb- ft, TB = 1,040 lb- ft, TC = 850 lb-ft, andTD = 230 lb-ft, acting in the directions shown in the figure. The bearings shown allow the shaft to turn freely. (a) Plot a torque diagram showing the internal torque in segments (1), (2), and (3) of the shaft. Use the right-hand rule. (b) If the allowable shear stress in the shaft is 6,000 psi, what is the minimum acceptable diameter for the shaft?

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