Question 1: [Strain Energy Due to Direct Stresses] A steel bar of a length, diameter and Young’s modulus of 400 mm, 20 mm and 200 GPa is placed concentrically within a brass tube which has an outside diameter,thickness, length and Young’s modulus of 30 mm, 4 mm, 400 mm long and 100 GPa respectively. The compound bar hangs vertically with its upper end rigidly fixed with a collar fitted to the bottom end. The application of a load P results in the compound bar storing a total of 7 J of energy. Calculate: 1The gradually applied load 2The suddenly applied load 3The impact load that falls 150 mm and induces 7 J of energy 4The instantaneous stresses in both materials
Question 1: [Strain Energy Due to Direct Stresses]
A steel bar of a length, diameter and Young’s modulus of 400 mm, 20 mm and 200 GPa is placed concentrically within a brass tube which has an outside diameter,thickness, length and Young’s modulus of 30 mm, 4 mm, 400 mm long and 100 GPa respectively. The compound bar hangs vertically with its upper end rigidly fixed with a collar fitted to the bottom end. The application of a load P results in the compound bar storing a total of 7 J
of energy. Calculate:
1The gradually applied load
2The suddenly applied load
3The impact load that falls 150 mm and induces 7 J of energy
4The instantaneous stresses in both materials
5The instantaneous elongation of the compound rod
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