The A-36 steel pipe has a 6061-T6 aluminum core. It is subjected to a tensile fo

Question

The A-36 steel pipe has a 6061-T6 aluminum core. It is subjected to a tensile force of 200 kN. Determine the average normal stress in the aluminum and the steel due to this loading. The pipe has an outer diameter of 80 mm and an inner diameter of 70 mm.

Explanation / Answer

Cross sectional area of the aluminium cylinder -> pi*Ri*Ri (Ri->inner radius) = 3.14*35*35 mm^2 = 3846 mm^2 = 3.846 *10^(-3) m^2 Cross sectional area of the steel-> pi*Ro*Ro -pi*Ri*Ri (R0->outer radius) = 3.14*(40*40-35*35) mm^2 = 1177 mm^2 = 1.177 *10^(-3) m^2 Force applied = 200 *1000 N Average shear stress in aluminium = 200 *1000 N/3.846 *10^(-3) m^2 = 52 * 10^6 Pa (ans) Average shear stress in steel = 200 *1000 N/1.177 *10^(-3) m^2 = 169.92 * 10^6 Pa (ans)

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