Problem $1$

With a computer, plot the following cases and discuss the trends and implications as they relate to loads

applied to structures.

a$)$ The live load reduction factor as a function of tributary area $($Cl$.4\mathrm{.}1\mathrm{.}5\mathrm{.}8\mathrm{.}2)(3$ marks$)$

b$)$ The live load reduction factor as a function of tributary area $($Cl$.4\mathrm{.}1\mathrm{.}5\mathrm{.}8\mathrm{.}3)(3$ marks$)$

c$)C_b$ as a function of $l_c($assume $C_w=1)(3$ marks$)$

d$)C_s$ as a function of $.$ Show both cases covered in the NBCC on the same plot $(3$ marks$)$