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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Q7
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Transcribed Image Text:Question 7.
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 dec. Part CD is a solid bronze shaft having a diameter of dep. 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 Pp = 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 = ß cm
Shaft diameters: daB = 2B mm, dec = B mm, and dep ß mm
Material properties: Modulus of elasticity: Estcel = 210 GPa, Ebronze = 100 GPa
Co-efficient of thermal expansion: asteel = 11.9x106/"C; abronze =16.9x106/C
Gap = 0.20 mm
LAB = B cm
LBC = 2B cm
LCD = B cm
B
A
C
PD = 3B kN
PB = B kN
CS Scanned with CamScanner

Transcribed Image Text:PD = 3B kN
PB = B kN
Diameter dcD = ß mm
Diameter dBC = ß mm
Solid steel tube
Diameter dAB = 2ß mm
Hollow steel tube
Solid bronze tube
Use ß = student's serial number (2Bß means 2 times B)
Tube thickness = 0.3dAB
Fig. 7
CS
Scanned with CamScanner
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