6. A drone motor can apply a maximum torque of T = 2.1 N. m. At the start of the rotation, the propellergets stuck and cannot spin, additionally causing a maximum bending moment of M = 1.0 N. m. Themotor shaft is made of a hardened tool steel with a diameter of d = 1.5 mm and mechanical propertiesof E = 210 GPa, v = 0.32, K₁ = 42 MPa√√m and σ = 5.2 GPa. A small scratch of depth a is madeon the surface of the shaft.a. What are the principle stresses in the shaft?b. If we assume the shaft fails in a brittle manner, will the shaft fail?c. How deep can the scratch be if we want a fracture factor of safety of X- = 2? Assume the worst-case crack is oriented orthogonal to the max principal stress (σ₁) and the concentration factor isY = 1.12.wwwwwwMTdSurfaceScratch

1. Notations and Given ValuesPoints: O, B, C, D, and E represent the centers of the joints as…

Answered: 6. A drone motor can apply a maximum…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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
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 ka = 3,000 N-m/rad and ka = 4.000 N-m/rad. The turbine generates a harmonic torque given by M(t) = M, cos at about the shaft axis with M, = 200 N-m and e = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is Jo = 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, )
3. A flat annular steel flywheel of outer radius 0.5 m and inner radius 0.125 m with p = 7800 kN*s?/m* and v = 0.3 is to be shrunk fit around a solid steel shaft. The shrinking allowance is 0.1 mm. Both materials are the same type of steel with E = 210 GPa. Determine the RPM when the shrink fit loosens as a result of rotation.
A TB = 180 N-m Tc = 15 N-m TD= 35 N-m DAB DAB = 35 mm DBD = 25 mm G = 170 GPa TB DBD C Tc TD The solid shaft is fixed at A and free at D. It is subjected to three concentrated torques at B, C and D. Determine the magnitude of the maximum stress in the shaft. Ignore stress concentrations. 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 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
Determine the torque that can be transmitted by this shaft. D = 120 mm d = 80 mm L = 3 m Modulus of rigidity, G = 90 GPa = 30 Outer diameter, Inside diameter, IT Length of shaft, 3 m Angle of twist
The axis ABCD receives a torque of 500Nm from the motor and transmits movement to other devices, by means of belts and pulleys connected at B and C. If it is known that the torques exerted on pulleys B and C are as shown In the figure, determine the minimum radius the shaft must have. You should consider that at point D of the motor there is a bearing that acts as a support for the shaft as at point A. The material of the shaft and its allowable shear stress are indicated in the drawing.Determine:to. Free-Body diagram.b. Shear force diagrams.c. Bending moment diagrams.d. Identification of the critical point of the axis.e. Calculation of the axis radius. tperm=80MPa
. The mean diameter of the driving pulley for a vec-belt drive with two belts is 110 mm. The pulley groove angle is 40° and the drive transmits 4.4 kW at a speed of rotation of 1500 rev/min. The coefficient of frietion between belt and pulley 0.32, and the angle of lap is 160°. Determine the driving torque and the maximum stress in the belt material if the cross-sectional area of each belt is 120 mm.
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A 6-in-wide polyamide F-1 flat belt is used to connect a 4-in-diameter pulley to drive a larger pulley with an angular velocity ratio of 3. The center-to-center distance is 8 ft. The angular speed of the small pulley is 1850 rev/min as it delivers 2 hp. The service is such that a service factor Ks of 1.25 is appropriate. (a) Find Fc, Fi, F1a, and F2. (b) Find Ha, nfs, and belt length. (c) Find the dip.
TI=30NM, T2=155NM, T3=85NM and dBC=22mm. 12 010 T3 T2 T1 3-1892615112 D 010 b180106003- 1892615112 \dcp 1826151126 b180106003-18926 dBC B. `dAB b180100003-18926151126 In the figure above, torques TI, T2 and T3 are applied, respectively, to discs A, B and C on the shaft, which is fixed at point D. 3-1892815112s b180106003-18926 The diameters of the shaft segments are indicated in the figure and their values are given below (if they are required). Length of each segment on the shaft has the same value and is equal to L(AB)=L(BC)=L(CD)=400 mm. b180106003- 18926151126 Shear modulus of the material is 80 GPa. o-18926151126 b180108003-18926 Calculate the maximum shear stress g003-18926151126 003-18926 b18 on shaft segment BC. 010600s28151128 B A 46 MPa 60 MPа b180106003- 18926 b180106003- 1892615112 b180106003- 18928151126 38 MPa b180100003-1892615112 57 MPa b180106003- 18926151126 E b180108003-18928 31 MPа b180106003- 18926151126 b180106003- 18926151128 b180106003- 18928151126…

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