A composite shaft ABCD made of three parts is placed between two walls, as shown in Fig. 7. Part AB is a hollow steel shaft having an outer diameter of dAB and a thickness of 0.3dAB. Part BC is a solid steel shaft having a diameter of dac. Part CD is a solid bronze shaft having a diameter of dcp. The shaft ABCD is fixed to the wall at A. The gap between D and the rigid wall E is initially 0.20 mm. • Determine the support reactions at A and E when the forces PB B KN and PD = 3ß kN are applied to the shaft, and the temperature of the shaft is increased by 25°C. Draw force diagrams relevant to the problem and condition to induce reaction at support E. • Find also the maximum stress in the shaft ABCD. Use: Shaft lengths: LAB B cm, LBC 2B cm and LCD B cm Shaft diameters: dAB 2B mm, dBC B mm, and dcD B mm Material properties: Modulus of elasticity: Esteel = 210 GPa, Ebronze = 100 GPa Co-efficient of thermal expansion: asteel = 11.9x106/"C; abronze =16.9x10-6/C
A composite shaft ABCD made of three parts is placed between two walls, as shown in Fig. 7. Part AB is a hollow steel shaft having an outer diameter of dAB and a thickness of 0.3dAB. Part BC is a solid steel shaft having a diameter of dac. Part CD is a solid bronze shaft having a diameter of dcp. The shaft ABCD is fixed to the wall at A. The gap between D and the rigid wall E is initially 0.20 mm. • Determine the support reactions at A and E when the forces PB B KN and PD = 3ß kN are applied to the shaft, and the temperature of the shaft is increased by 25°C. Draw force diagrams relevant to the problem and condition to induce reaction at support E. • Find also the maximum stress in the shaft ABCD. Use: Shaft lengths: LAB B cm, LBC 2B cm and LCD B cm Shaft diameters: dAB 2B mm, dBC B mm, and dcD B mm Material properties: Modulus of elasticity: Esteel = 210 GPa, Ebronze = 100 GPa Co-efficient of thermal expansion: asteel = 11.9x106/"C; abronze =16.9x10-6/C
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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