Figure 1 shows a composite shaft ABCD acted upon horizontal forces. The

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
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QUESTION 2
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 mm?
Ecu = 126 GPa
E = 200 GPa
%3D
%3D
ABC = 77 mm?
AcD = 39 mm?
%3D
%3D
Copper
20kN
8 kN
Aluminum
Steel 7 kN
D
A
B
20kN
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
2.2. Calculate the displacement of the point C with respect to the fixed-point A.
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.
Transcribed Image Text:QUESTION 2 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 mm? Ecu = 126 GPa E = 200 GPa %3D %3D ABC = 77 mm? AcD = 39 mm? %3D %3D Copper 20kN 8 kN Aluminum Steel 7 kN D A B 20kN 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 2.2. Calculate the displacement of the point C with respect to the fixed-point A. 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.
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