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Q8. A steel bar is 1.5 m long and 75 mm diameter. An axial hole of 50 mm diameter is to be drilled at one end so that the extension of the hollow section is twice that of the solid section under load.

Calculate EACH of the following:

(a) the length of the hollow section; (10)

(b) the extension of the hollow section when a tensile load of 27.5 kN is applied. (6)

Note:

Modulus of Elasticity for steel = 200 GN/m²

∆l_H=2 ∆l_S

E=200×10⁹ N/m²