Figure 2 shows an assembly made of a steel tube of internal and external diameter of 20 mm and 30 mm respectively, brass and copper bars, each having 25 mm of diameter. The three materials have equal length of 500 mm and are symmetrically rigidly fixed at the upper end while being joined by a horizontal collar (with negligible mass) at their bottom end. An application of a vertical downward load P on the assembly, results in storing a total of 20 J of energy. The moduli of elasticity for steel, brass and copper materials are ESt=200 GPa, EBr=100 GPa and ECu=80 GPa, respectively. Calculate 1. The load P if it is applied gradually. 2. The load P if it is applied suddenly. 3. The impact load P that falls from a height of 200 mm above the collar.
Figure 2 shows an assembly made of a steel tube of internal and external diameter of 20 mm and 30 mm respectively, brass and copper bars, each having 25 mm of diameter. The three materials have equal length of 500 mm and are symmetrically rigidly fixed at the upper end while being joined by a horizontal collar (with negligible mass) at their bottom end. An application of a vertical downward load P on the assembly, results in storing a total of 20 J of energy.
The moduli of elasticity for steel, brass and copper materials are ESt=200 GPa, EBr=100 GPa and ECu=80 GPa, respectively.
Calculate
1. The load P if it is applied gradually.
2. The load P if it is applied suddenly.
3. The impact load P that falls from a height of 200 mm above the collar.
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