Question 2 A composite shaft is comprised of a solid inner rod (shaft 1) made of a steel with an elastic modulus of 210 GPa, diameter of 70 mm, and length of 100 mm, and a hollow outer shaft (shaft 2) made of the aluminium with an elastic modulus 80 GPa, outer diameter of 100 mm, inner diameter of 80 mm, and a length of 100 mm that are rigidly attached to one another on both ends. The composite shaft is designed to absorb 150 joules of energy for deformation within its linear elastic limit upon application of an axial load onto a collar attached to its lower end. Determine the stresses induced in shafts 1 and 2, magnitude of the forces acting on shafts 1 and 2, and the total force acting on the composite shaft for the cases of: (i) A gradually applied load. (ii) A suddenly applied load. (iii) A mass that is dropped onto the collar from a height of 250 mm.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Question 2
A composite shaft is comprised of a solid inner rod (shaft 1) made of a steel with an elastic
modulus of 210 GPa, diameter of 70 mm, and length of 100 mm, and a hollow outer shaft (shaft
2) made of the aluminium with an elastic modulus 80 GPa, outer diameter of 100 mm, inner
diameter of 80 mm, and a length of 100 mm that are rigidly attached to one another on both
ends. The composite shaft is designed to absorb 150 joules of energy for deformation within
its linear elastic limit upon application of an axial load onto a collar attached to its lower end.
Determine the stresses induced in shafts 1 and 2, magnitude of the forces acting on shafts 1 and
2, and the total force acting on the composite shaft for the cases of:
(i)
A gradually applied load.
(ii)
A suddenly applied load.
(iii)
A mass that is dropped onto the collar from a height of 250 mm.
Transcribed Image Text:Question 2 A composite shaft is comprised of a solid inner rod (shaft 1) made of a steel with an elastic modulus of 210 GPa, diameter of 70 mm, and length of 100 mm, and a hollow outer shaft (shaft 2) made of the aluminium with an elastic modulus 80 GPa, outer diameter of 100 mm, inner diameter of 80 mm, and a length of 100 mm that are rigidly attached to one another on both ends. The composite shaft is designed to absorb 150 joules of energy for deformation within its linear elastic limit upon application of an axial load onto a collar attached to its lower end. Determine the stresses induced in shafts 1 and 2, magnitude of the forces acting on shafts 1 and 2, and the total force acting on the composite shaft for the cases of: (i) A gradually applied load. (ii) A suddenly applied load. (iii) A mass that is dropped onto the collar from a height of 250 mm.
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