Question

(a) A 25 mm diameter bar is subjected to an axial tensile load of 100 kN. Under the action of this load, a 200 mm gauge length is found to extend 0.19 x 10^-3 mm. Determine the modulus of elasticity for the bar material. (b) If, in order to reduce weight whilst keeping the external diameter constant, the bar is bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of bore possible given that the maximum allowable stress is 240 MN/m^2? The load can be assumed to remain constant at 100 kN. (c) What will be the change in the outside diameter of the bar under the limiting stress quoted in (b)? (E = 210 GN/m^2 and ν = 0.3).

          (a) A 25 mm diameter bar is subjected to an axial tensile load of 100 kN. Under the action of this load, a 200 mm gauge length is found to extend 0.19 x 10^-3 mm. Determine the modulus of elasticity for the bar material.
(b) If, in order to reduce weight whilst keeping the external diameter constant, the bar is bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of bore possible given that the maximum allowable stress is 240 MN/m^2? The load can be assumed to remain constant at 100 kN.
(c) What will be the change in the outside diameter of the bar under the limiting stress quoted in (b)? (E = 210 GN/m^2 and ν = 0.3).

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