QUESTION 6 (a) The bar shown in Figure Q2(a) is subjected to tensile load of 150 Kn. If the stress in the middle portions is limited to 160 N/mm², determine the diameter of the middle portion. Find also the length of the middle portion if the total elongation of the bar is to be 0.25 mm. E E = 2.0 + 105N/mm². (12 marks) 150 KN 10 cm DIA 10 cm DIA 150 KN 45 cm Figure Q6(a) (b) A brass bar, having cross-section area of 900 mm², is subjected to axial forces as shown in Figure Q2(b), in which AB = 0.6 m, BC = 0.8 m, and CD = 1.0 m. Find the total elongation of the bar. E = 1.0 + 105N/mm2 . (8 marks) Page 4 of 5 B D 40 KN 70 KN 20 KN 10 KN Figure Q6(b) (TOTAL = 20 MARKS)

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Given problem is a typical mixing problem

Let y(t) is the salt in tank at time t

The water entering has no salt, rate in =0

The thoroughly mixed solution has concentration of 10L/min . The tank has 1119 L of brine with 15 kg of salt

Rate out =( y/1119) kg/ L * 10 L/min = 10 y/ 1119 kg/mim

Hence, differential equation is 

at t=0, y= 15

15= C

c= 15

Therefore, y= 

After 20 minutes, t= 20

y= 12.54496 kg