Figure 1 shows a composite shaft ABCD acted upon horizontal forces. The moduli of elasticity and the cross-section areas of the segments of the shaft are also provided.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Figure 1 shows a composite shaft ABCD acted upon horizontal forces. The
moduli of elasticity and the cross-section areas of the segments of the shaft are
also provided.
Eal = 70 GPa
AAB = 58 mm2
Ecu = 126 GPa
Est
AcD = 39 mm2
= 200 GPa
ABC = 77 mm2
%3D
%3D
Copper
20kN
8 kN
Aluminum
Steel
7 kN
A
B
20kN
D
8 kN
450 mm
300 mm
- 400 mm
Figure 1: Axially loaded composite shaft
2.1. Construct the diagram of internal normal forces for each cross-section of the
shaft
(6)
2.2. Calculate the displacement of the point C with respect to the fixed-point A.
(3)
2.3. If the shaft must have one uniform diameter, determine the required minimum
diameter of the shaft if the normal yield stress in the composite shaft must not
exceed 450 MPa with a factor of safety equal to 1.8.
(11)
Transcribed Image Text:Figure 1 shows a composite shaft ABCD acted upon horizontal forces. The moduli of elasticity and the cross-section areas of the segments of the shaft are also provided. Eal = 70 GPa AAB = 58 mm2 Ecu = 126 GPa Est AcD = 39 mm2 = 200 GPa ABC = 77 mm2 %3D %3D Copper 20kN 8 kN Aluminum Steel 7 kN A B 20kN D 8 kN 450 mm 300 mm - 400 mm Figure 1: Axially loaded composite shaft 2.1. Construct the diagram of internal normal forces for each cross-section of the shaft (6) 2.2. Calculate the displacement of the point C with respect to the fixed-point A. (3) 2.3. If the shaft must have one uniform diameter, determine the required minimum diameter of the shaft if the normal yield stress in the composite shaft must not exceed 450 MPa with a factor of safety equal to 1.8. (11)
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