A simply supported rectangular woolen beam $(15cm25cm)$ is subjected $10$ dead load $(g)$ and live bad $(c)$ as shown in the figure below. Assume fong term vaciable load and service class $2.$ The beam is solid timber and strength class $C27.$ Use $0\mathrm{.}8$ for $k_{\text{d}\text{e}\text{r}}$ and $0\mathrm{.}3$ for ${}_{2\mathrm{.}1}.$ Check whether the beam is adequate or not.

darrdarrdarrdarrvdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrq$=2\mathrm{.}50k\frac{N}{m}$ darrdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrdarrg$=1\mathrm{.}85kNm120\%$