Question

Using the properties of the fiber and matrix shown in the table below. Consider a composite with a volume fraction of 60% (or $V_f$ = 0.60). Show all work and and find the following \begin{itemize} \item (5 pts each) Find $E_1$, $E_2$, $G_{12}$, $\nu_{12}$ \end{itemize} \begin{tabular}{|c|c|c|} \hline & Fiber & Matrix \\ \hline $E_1$ (Msi) & 50 & 10 \\ $\nu_{12}$ & .2 & .35 \\ $\rho \left(\frac{lbs}{in^3}\right)$ & .2 & .1 \\ \hline \end{tabular} Edit View Insert Format Tools Table 12pt Paragraph $E_1 = 34Msi$ $E_2 = 19.231Msi$ $G_{12} = 13.981Msi$ $\nu_{12} = 0.26$

          Using the properties of the fiber and matrix shown in the table below. Consider a composite with a volume fraction of 60% (or $V_f$ = 0.60). Show all work and and find the following
\begin{itemize}
    \item (5 pts each) Find $E_1$, $E_2$, $G_{12}$, $\nu_{12}$
\end{itemize}
\begin{tabular}{|c|c|c|}
\hline
 & Fiber & Matrix \\
\hline
$E_1$ (Msi) & 50 & 10 \\
$\nu_{12}$ & .2 & .35 \\
$\rho \left(\frac{lbs}{in^3}\right)$ & .2 & .1 \\
\hline
\end{tabular}
Edit View Insert Format Tools Table
12pt Paragraph
$E_1 = 34Msi$
$E_2 = 19.231Msi$
$G_{12} = 13.981Msi$
$\nu_{12} = 0.26$

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$Using the properties of the fiber and matrix shown in the table below. Consider a composite with a volume fraction of 60% (or $Vf$ = 0.60). Show all work and and find the following * (5 pts each) Find E1, E2, G12, ν12 Fiber Matrix E1 (Msi) 50 10 ν12 .2 .35 ρ((lbs)/(in^3)) .2 .1 Edit View Insert Format Tools Table 12pt Paragraph E1 = 34Msi E2 = 19.231Msi G12 = 13.981Msi ν12 = 0.26$

Added by Tammy R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

08/02/2023

Step 1

E1 = Vf * Ef + (1 - Vf) * Em Where: E1 = specific modulus of the composite material Vf = volume fraction of the fiber = 0.60 Ef = modulus of the fiber = 50 Msi Em = modulus of the matrix = 10 Msi E1 = 0.60 * 50 + (1 - 0.60) * 10 E1 = 30 + 4 E1 = 34 Msi Show more…

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Find and the specific modulus for composite material defined in the below problem. Compare it to the the specific modulus of the matrix material. For the composite use E1 for determining the specific stiffness and consider using a rule of mixtures approach to find the density of the composite. Show all work. Using the properties of the fiber and matrix shown in the table below. Consider a composite with a volume fraction of 60% (or V_(f) =0.60 ). Show all work and and find the following (5 pts each) Find E_(1),E_(2),G_(12),v_(12) Edit View Insert Format Tools Table 12pt vv Paragraph vv,vdots E_(1)=34Msi E_(2)=19.231Msi G_(12)=13.981Msi V_(12)=0.26 Using the properties of the fiber and matrix shown in the table below.Consider a composite with a volume fraction of 6o% (or V = 0.60). Show all work and and find the following 5 pts each)Find E1,E2,G12,12 Fiber Matrix E1 (Msi) 50 10 V12 .2 .35 2 .1 Edit View Insert Format Tools Table 12pt v Paragraph v E=34Msi E=19.231Msi G12 = 13.981Msi V12=0.26

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