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umerical Analysis BMT 23 & BE X /NDc1NzgyNTM0Mjcw + Open with Google Docs SMENT SUBMISSION DEADLINE: JUNE 6, 2022 1. The horizontal surface area A, (m²) of a lake at a particular depth can be computed from volume by differentiation: A,(z) = dV(z) dz where V(z) is volume (m³) and z is depth (m) as measured from the surface down to the bottom. The average concentration of a substance that varies with depth, c(g/m³), can be computed by integration: C= Sc(z) A.(z)dz fo A,(z)dz where Z is the total depth (m). Determine the average concentration based on the following data: z,m 0 4 8 12 16 V, 10m³ 9.8175 5.151051 1.9635 0.3927 0.0000 c,g/m³ 10.2 8.5 7.4 5.2 [20 marks]

Numerical Analysis BMT 23 & BE X + 0.3927 0,0000 V, 10% c,g/m 5.2 4.1 [20 marks] L Figure 1: A pinned-fixed beam subject to a uniform load 2. Figure 1 shows a pinned-fixed beam subject to a uniform load. The equation for the resulting deflections is W y= (2¹-3L³ + L³) 48EI Determine the location and magnitude of the maximum deflection. Employ an initial guesses of 0 and Newton-Raphson's method to display the iterations. Use the following parameter values in your computation (making sure that you use consistent units): L 400cm, E= 52,000kN/cm², I = 32,000 cm³, and w= 4kN/cm. [20 marks] Page 1 / 1 Q + El com/c/NDc1NzgyNTM0Mjcw O for levenner i Open with Google Docs AUR W O Act Go t 25°C