Question $1(10$ marks$)$

Consider the floor and beam shown above. The floor supports a dead load of $2\mathrm{.}0$kPa $($including

self weight$)$ and a live load of $4\mathrm{.}8$kPa. Both the beam and the GLT are made from D$.$Fir$-$L $20$f$.$

a$)$ If the GLT floor spans simply between beams, determine the minimum thickness.

b$)$ Determine the required depth $($and grade$)$ for the glulam beam if it is $130mm$ wide.

Cantilever live load deflections can be limited to $18mm,$ regular limits apply elsewhere.

c$)$ Calculate the bending moment resistance $)$ for the beam selected in part b$.$

d$)$ Determine an equivalent Parallam PSL $(2\mathrm{.}0$E$)$ Beam from the Weyerhaeuser Design

Guide $($for Eastern Canada$).$ Hint: page $4$ and $5$ in the guide should be all you need. Refer to the unit

conversion in the Preface. $1$MPa$=145\mathrm{.}038$ psi.