The aluminum rod (E1 = 68 GPa) is reinforced with the firmly bonded steel tube (E2 = 201 GPa). The diameter of the aluminum rod is d = 25 mm and the outside diameter of the steel tube is D= 45 mm. The length of the composite column is L = 761 mm. A force P = 88 kN is applied at the top surface, distributed across both the rod and tube. Required:
Determine the normal stress σ in the steel tube.

Explanation:

From the information given:

The total load is distributed across both the rod and tube:

Since this is a composite column; the elongation of both aluminum rod & steel tube is equal.

Replace into equation (1)

Finally, to determine the normal stress in aluminum rod:

Thus, the normal stress = 23.523 MPa in compression.

answer:

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