(Solved): Derive the MPI for the stiffness of a beam by assuming that height is the free variable.   Her ...

Derive the MPI for the stiffness of a beam by assuming that height is the free variable.
 

Here, ???? = [FL^3] / CEI

How to find Material Performance Indices-Sample problem Develop the material performance index that provides the optimum stiffness properties given the following: For elastic bending: \( \delta=\frac{F L}{C E I} \) where \( \delta= \) Deflection, \( \mathrm{F}= \) Force applied midway along the length of the beam \( \mathrm{L}= \) Length, \( \mathrm{C}= \) Constant \( \mathrm{E}= \) Modulus of elasticity \( \mathrm{I}=2^{\text {nd }} \) moment of inertia \( =\left(\mathrm{b} * \mathrm{~h}^{3}\right) / 12 \) for a rectangular beam