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 GPaAAB = 58 mm2Ecu = 126 GPaEstAcD = 39 mm2= 200 GPaABC = 77 mm2%3D%3DCopper20kN8 kNAluminumSteel7 kNAB20kND8 kN450 mm300 mm- 400 mmFigure 1: Axially loaded composite shaft2.1. Construct the diagram of internal normal forces for each cross-section of theshaft(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 minimumdiameter of the shaft if the normal yield stress in the composite shaft must notexceed 450 MPa with a factor of safety equal to 1.8.(11)

Answered: Image /qna-images/answer/815c1e75-bfed-4335-aa75-b485eb1d3399.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 also provided.

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

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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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