(Solved): solve by matlab 35. The area moment of inertia Ix0 of a rectangle about the axis xo passi ...

solve by matlab

35. The area moment of inertia $I_{x_0}$ of a rectangle about the axis $x_o$ passing through its centroid is $I_{x_o}=\frac{1}{12}b{h}^3$. The moment of inertia about an axis $x$ that is parallel to $x_o$ is given by $I_x=I_{x_o}+A{d}_x^2$, where $A$ is the area of the rectangle, and $d_x$ is the distance between the two axes. Write a MATLAB user-defined function that determines the area moment of inertia $I_{x_c}$ of a " $\mathrm{T}$ " beam about the axis that passes through its centroid (see drawing). For the function name and arguments use $I\times C=IxCT?$ Beam $(w,h,t,d)$, where the input arguments $\mathrm{w},\mathrm{h},\mathrm{t}$, and $\mathrm{d}$ are the dimensions shown in the figure, and the output argument Ixc is $I_{x_e}$. For finding the coordinate $y_c$ of the of the centroid use the user-defined function centroidT from Problem 34 as a subfunction inside IxcTBeam. (The moment of inertia of a composite area is obtained by dividing the area into parts and adding the moments of inertia of the parts.) Use the function to determine the moment of inertia of a " $\mathrm{T}$ " beam with $w$ $=240\mathrm{mm},h=380\mathrm{mm},d=42\mathrm{mm}$, and $t=60\mathrm{mm}$.