= Q2. (a) Show that when the material of Figure Q2(a) is subjected to uniaxial tension force P without lateral restraint

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Q2 A Show That When The Material Of Figure Q2 A Is Subjected To Uniaxial Tension Force P Without Lateral Restraint 1 (83.08 KiB) Viewed 37 times

= Q2. (a) Show that when the material of Figure Q2(a) is subjected to uniaxial tension force P without lateral restraint, the volumetric strain is given by: AV = e(1-2v) V. Where: AV is the change of volume due to axial stress, V. is the original volume before the stress is applied, e is the longitudinal strain, and v is Poisson's ratio for the material. [7 marks] Figure Q2a (a) Figure Q2(b) shows two steel bars each of 2.0 m length and 30 mm in diameter supporting a temporary road sign weighting 5000 kg. Take: E = 205 kN/mm², Poisson's ratio v = 0.3 and g = 9.81 m/s2 [6 marks] [5 marks] (0) Calculate the shortening per bar. (ii) Calculate the change in lateral dimension per bar. (iii) Calculate the change in volume per bar. (iv) Calculate the volumetric strain per bar. [5 marks] [2 marks] Road Sign M = 5000 kg Figure Q2b 11 2m 7777 (Figure not to scale) [Total 25 marks]