Figure 1 shows a composite shaft ABCD acted upon horizontal forces. Themoduli of elasticity and the cross-section areas of the segments of the shaft arealso provided.Eal 70 GPaE = 126 GPaE = 200 GPaAAR=58 mm²ABC 77 mm2Acp = 39 mm²Сopper20KN8 kNAluminumSteel7 kNB20KNA8 kN450 mm-300 mm--400 mmFigure 1: Axially loaded composite shaft2.1. Construct the diagram of internal normal forces for each cross-section of the(6)shaft(3)2.2. Calculate the displacement of the point C with respect to the fixed-point A2.3. If the shaft must have one uniform diameter determine the required minimumdiameter of the shaft if the normal yield stress in the composite shaft must not(11)exceed 450 MPa with a factor of safety equal to 1.8.

Answered: Image /qna-images/answer/f1675c75-2a28-4467-a665-be15a0328204.jpg

Answered: Figure 1 shows a composite shaft ABCD…

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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.9.8P: A statically indeterminate stepped shaft ACE is fixed at ends A and B and loaded by a torque TQat...

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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

100%

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
E = 126 GPa
E = 200 GPa
AAR=58 mm²
ABC 77 mm2
Acp = 39 mm²
Сopper
20KN
8 kN
Aluminum
Steel
7 kN
B
20KN
A
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
(6)
shaft
(3)
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
(11)
exceed 450 MPa with a factor of safety equal to 1.8.

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