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(Solved): 5. (a) A 60 cm wide and 4 m long diving board is to be added to a swimming pool. The maximum allow ...
5. (a) A 60 cm wide and 4 m long diving board is to be added to a swimming pool. The maximum allowable vertical deflection of the board is 10 cm for a maximum load of 1500 kg. With the additional information in Table 3, answer the following: Table 3 Material E GN/m2 kg/m³ Price $/tonne Silicon Carbide 430-445 2500-3200 1000 Chromium 285-290 7200 4000 CFRP 70-200 1500-1600 3000 Mild Steel 200 7800 400 Copper 124 8900 1600 Aluminium 69 2700 1100 30-50 2400-2500 60 Concrete Wood 0.6-1 400-800 400 PVC 0.2-0.8 1300-1600 550 0.01-0.1 830-910 540 ine the minimum thickness of the diving board for each material. [10 marks] Which material would make the lightest board? [2 marks] Which material would make the cheapest board? How much will be the cost? [3 marks] i) CLASSI
Expert Answer
Ans a-i) We know, = P L3 / 3EI where, = vertical deflection = 10 cm or 0.1 m L = length of board = 4 m P = load = 1500 kg or 14715 N E = elastic modulus in N/m2 I = moment of inertia = bt3/12 = 0.6 t3/12 = 0.05 t3 Putting values, => 0.1 = 14715(4) /