a$.$ Wood Joists:

i$.$ Calculate the distributed load $($w$)$ on a typical wood joist.

ii$.$ Draw the Free Body Diagram for a typical wood joist.

iii. Calculate the maximum Moment $(M_{\text{m}\text{a}\text{x}})$ and maximum Shear $(V_{\text{m}\text{a}\text{x}})$ applied to the the joist.

iv$.$ Calculate the available moment capacity $(M_a)$ and available shear capacity $(V_a)$ of a wood joist.

v$.$ Is the joist adequate to resist the applied moment and shear?

vi$.$ Calculate the Total Load deflection of wood joist $({}_{TL}).$

vii. Is the beam acceptable for deflection? Check against the total load deflection criteria $({}_{TL}).$

viii. BONUS: If the joist is not acceptable, choose a joist size that will work

b$.$ Concrete Girder B:

i$.$ Assume the girder is subjected to an ultimate distributed load $(w_u)$ of $1\mathrm{.}4$kIf, calculate the ultimate Moment $(M_u)$ and ultimate Shear $(V_u)$ on Girder B$.$

ii$.$ Calculate the factored moment capacity $({}_b{M}_n)$ and the factored shear capacity $({}_v{V}_n)$

iii. Is the girder adequate to resist the ultimate moment and shear?

c$.$ Steel Column B$-2$:

i$.$ Assume Column B$-2$ supports a maximum axial load $(P_{\text{m}\text{a}\text{x}})$ of $200$ kips. What is