PROBLEM $2.$ Determine the critical design load using the following code provisions. Required

strength $U$ shall be at least equal to the effects of factored loads in the following equations. The effect

of one or more loads not acting simultancously shall be investigated.

$U=1\mathrm{.}4(D+F)$

$U=1\mathrm{.}2(D+F+T)+1\mathrm{.}6(L+H)+0\mathrm{.}5(L_{k}orR)$

$U=1\mathrm{.}2D+1\mathrm{.}6(L_{\text{s}\text{o}\text{r}}R)+(f_1(L)oror0\mathrm{.}5(W))$

$U=1\mathrm{.}2D+1\mathrm{.}0W+f_{1}L+0\mathrm{.}5(L_{k}orR)$

$U=1\mathrm{.}2D+1\mathrm{.}0E+f_{1}L$

$U=0\mathrm{.}9D+1\mathrm{.}0W+1\mathrm{.}6H$

$U=0\mathrm{.}9D+1\mathrm{.}0E+1\mathrm{.}6H$

$f_1=1\mathrm{.}0$ for floors in places of public assembly, for live loads in excess of $4\mathrm{.}8$ kPa $,$

and for garage live load, or

$f_1=0\mathrm{.}5$ for other live load

U $-$ design or ultimate load

L $-$ live load except roof live load

F $-$ Load due to weight and pressure of fluids

H $-$ Load due to weight and pressure of soil

T $-$ Load due to temperature, creep and shrinkage

D $-$ dead load

E$-$scismic load

$L_k-$ roof live load

R $-$ Rain load on undeflected roof

W $-$ Wind Load

The compression gravity axial loads for a building column have been estimated with the following

results: dead load $=670kN,$ live load from roof $=270kN,$ live load from floors $=1335kN,$

compression wind $=500kN,$ tensile wind $=430kN,$ seismic compression load $=225kN$ and tensile

seismic load $=180kN.$

a$.2364$ kN

c$.3074$ kN

b$.3075$ kN

d$.2571$ kN

The compression gravity axial loads for a building column have been estimated with the following

results: dead load $=1300kN,$ live load from roof $=650kN,$ live load from floors $=940kN,$

compression wind $=800kN,$ tensile wind $=250kN,$ seismic compression load $=700kN$ and tensile

seismic load $=500kN.$

a$.5139$ kN

c$.3540$ kN

b$.3625$ kN

d$.3389$ kN

The compression gravity axial loads for a building column have been estimated with the following

results: dead load $=1500kN,$ live load from roof $=555kN,$ live load from floors $=675kN,$

compression wind $=1200kN,$ tensile wind $=230kN,$ seismic compression load $=1225kN$ and

tensile seismic load $=380kN.$

a$.5271$ kN

c$.3700$ kN

b$.3952\mathrm{.}50$ kN

d$.5064$ kN