Question

QUESTION 1 One PhD student have developed simulation model for calculating the young modulus of wood plastic composite (WPC), (Equation-1). The strength of the composite depends on the volume fraction of wood fiber and the plastic matrix. Solve the problem using symbolic functions and replace the numerical values to get the answer. E. = x[v.E. +V,E,]+(1-1) EE, V, E+VE Eq-1 Where x = 0.8 Ec=Youngs modulus of the composite MPa. Ec=Youngs modulus of the composite MPa. Ec=Youngs modulus of the composite MPa. Vf = 0.3 Vm=1-Vf = is the volume fraction of the matrix Attach the matlab program. marks) (10

Answer 1

Solution: Note: More than one question asked Question 1: Matlab Code: & Create the symbolic function syms f(x,vf, E0, Ef) & Assign equation f(x,vf, E0, Ef)=x* (((1-Vf) *E0) + (Vf*Ef)) + (1- x) + ((E0*Ef) / ((Vf+E0) + ((1-Vf) *Ef))) f(0.8,0.3,1400, 32000) Output: f(x, Vf, EO, Ef) E, Ef (x-1) :-X (E (Vf-1) - Ef Vf) Ef (Vf-1) - E, Vf ans = 1443632 163

Executable Matlab Code:

% Create the symbolic function

syms f(x,Vf,E0,Ef)

% Assign equation

f(x,Vf,E0,Ef)=x*(((1-Vf)*E0)+(Vf*Ef)) + (1-x)*((E0*Ef)/((Vf*E0)+((1-Vf)*Ef)))

f(0.8,0.3,1400,32000)

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