A composite shaft is comprised of a solid inner rod (shaft 1) made of a magnesium-aluminium- Zinc ally an elastic modulus of 45 GPa, diameter of 50 mm, and length of 100 mm, and a hollow outer shaft (shaft 2) made of the titanium alloy Ti6Al4V with an elastic modulus 112 GPa, outer diameter of 90 mm, inner diameter of 60 mm, and a length of 100 mm that are rigidly attachedto one another on both ends. The composite shaft is designed to absorb 100 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 each constituent shaft and magnitude of the forces acting on each constituent shaft 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 150 mm.
A composite shaft is comprised of a solid inner rod (shaft 1) made of a magnesium-aluminium- Zinc ally an elastic modulus of 45 GPa, diameter of 50 mm, and length of 100 mm, and a hollow outer shaft (shaft 2) made of the titanium alloy Ti6Al4V with an elastic modulus 112 GPa, outer diameter of 90 mm, inner diameter of 60 mm, and a length of 100 mm that are rigidly attachedto one another on both ends. The composite shaft is designed to absorb 100 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 each constituent shaft and magnitude of the forces acting on each constituent shaft 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 150 mm.
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