(Solved): MATLAB The stress intensity factor K at a crack in a beam exposed to pure bending M is given by: K= ...

MATLAB

The stress intensity factor $K$ at a crack in a beam exposed to pure bending $M$ is given by: $K=C?\sqrt{?a}$ where $?=\frac{6M}{t{b}^2},a$ is the crack leagth, $b$ is the width, $t$ is the thickness, and $C$ is a parameter that depends on the geometry of the specimen and crack. For the case of pure bending, $C=\sqrt{\frac{\tan ?}{?}}\left[\frac{0.923+0.199(1?\sin ?{)}^2}{\cos ?}\right]\text{ where }?=a/b\text{ and }?=(??)/2$ Write a program in a script file that calculates the stress intensity factor $\mathrm{K}$. The program should read the values of $\mathrm{M},\mathrm{b},\mathrm{t}$, and a from the BendingData. mat file attached to this assignment on Blackboard using the load command. The output should be in the form of a paragraph combining text and numbers, something like: "The stress intensity factor for a beam that is (b) $m$ wide and ( $\mathrm{t}$ ) $m$ thick with an edge crack of (a) $\mathrm{m}$ and an applied moment of (M) N-m is (K)." where (K) stands for the calculated value of $K$, and (b), ( () , (a), and (M) stand for the loaded values of $b,t,a$, and $\mathrm{M}$, respectively.