The engineer needs to design a cylinder shaft, with length L=1 m, to transmit a power of 500W and rotating at 1 rad/s. The radius of the cross-section is 0.01m, which gives us the polar 2nd moment of area J=1.57x10-8m4. Two materials can be chosen: Material A: expensive, shear modulus G=80GPa, and the maximum allowed shear stress is 280MPa Material B: cheap, shear modulus G=25GPa, and the maximum allowed shear stress is 200MPa (a) Determine the torsion angles if material A or B is applied, respectively. (b) If the safety MUST be ensured, and a lower cost is preferred, which material should be chosen? (Safety factor = 0.8)

The engineer needs to design a cylinder shaft, with length L=1 m, to transmit a power of 500W and rotating at 1 rad/s. The radius of the cross-section is 0.01m, which gives us the polar 2nd moment of area J=1.57x10-8m4. Two materials can be chosen: Material A: expensive, shear modulus G=80GPa, and the maximum allowed shear stress is 280MPa Material B: cheap, shear modulus G=25GPa, and the maximum allowed shear stress is 200MPa (a) Determine the torsion angles if material A or B is applied, respectively. (b) If the safety MUST be ensured, and a lower cost is preferred, which material should be chosen? (Safety factor = 0.8)

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

See similar textbooks

Similar questions

A solid circular drive shaft of length = 0.5 m, is to be designed to transmit up to 45000 W at 1800 rev/min. If the maximum allowable shear stress is 60 MN/m? Q4 and the modulus of rigidity, G = 79 GPa, determine the following: c) The relative angle of twist of the ends of the shaft
A solid circular shaft to transmit,80kw power at 200rpm.calculate the shaft diameter and strain energy stored if the angle of twist is not to exceed 0.8° in 2m length.Take modulus of elasticity of rigidity=80MN/m^2
A solid circular drive shaft of length = 0.5 m, is to be designed to transmit up to 45000 W at 1800 rev/min. If the maximum allowable shear stress is 60 MN/m? and the modulus of rigidity, G = 79 GPa, determine the following: Q4 b) The minimum diameter of the shaft
Find the shear force and bending moment at points C and D. 500 lb 200 lb A Answer: Vc = -386 lbf Mc = -857 lbf.ft VD = 300 lbf Mp = -600 lbf.ft C² 6 ft4 ft 4 ft B 6 ft D 300 lb 2 ft E
3. Two cylindrical hollow shafts with shear modulus G = 77 GPa are welded together to a rigid connecting plate. A torque at C causes the connecting plate to rotate 8. Find the maximum shear stress in each shaft. Diameter A C = 30 cm Diameter CB = 20cm 0.5cm 1 cm
A simple diagram of a driveshaft ABC is shown in Figure 3. The power generated by an engine is transmitted via the drive shaft, ABC. The section AB is a solid circular shaft 0.7 m long and the section BC is a hollow circular shaft 1.0 m long with 110 mm outer diameter and 55 mm inner diameter. Both shafts are made from a metal alloy (Shear Modulus G = 95 GPa). 0.7 m 1.0 m A в 2400 hp @ 2000 rpm Figure 3 a) If the drive shaft rotates at 2000 rpm and the power transmitted along the shaft is 2400 hp (1 hp = 745.7 W), calculate the torque developed in the drive shaft.
A rope pulley is supported by two deep groove ball bearings as shown in the figure. A force of FR = 7 kN acts on the pulley in the radial direction. If Fa = 0.5kN, axial force acts. The rolling diameter of the pulley is d = 300 mm and the rope speed is v = 4 m / s. The nominal life of the bearings is required as Lh = 27000 h. Since the diameter of the shaft where the bearing is bearing is 45 mm, choose the appropriate bearing. V = N.D.n
A solid shaft 5 m long is stressed to 60 MPa when twisted through 4 deg . Using G = 83 GPa, what power (Hp) can be transmitted by the shaft at 20 rps?
Elasticity and Stress Analysis: Torsion The three cell box girder of Figure 1 Q.1 is subjected to a clockwise torque of 10,000 kNm.Sketch the shear flow diagram for the girder.Hence, determine the shear stress set up in each member and the angle of twist of thegirder.Given: Modulus of Rigidity = 80 GN/m2 Equations: T=2Ah 2G(theta)A=(tau)L q1=q2+q3
For the system below , find the maximum stress for the member ECD due to the combined effect of axial and bending moment .
Ex: A Torque (T) is applied to a solid taper shaft with built-in ends, as shown in Figure , Determine the angle of rotation at the free end. D2 D1 T (kN-m) Given: L(m) T(KN-m) D1 (mm) 02 (mm) G (GPa) 28 60 140 120
A turning force of 4 kN parallel to the "y" axis will be applied at the C point of the arm connected to the steel shaft AB in the figure. Accordingly, find the safe diameter value of the AB shaft using TRESCA and VON-MISES criteria.