HW $7-$ COLUMNS

What type of load does a column typically primarily support?

a$.$ Compressive loads

b$.$ Tensile loads

c$.$ Shear loads

d$.$ Flexural loads

What type of column is most likely to fail by crushing?

a$.$ Short & wide

b$.$ Short & thin

c$.$ Tall & wide

d$.$ Tall & thin

What type of column is most likely to fail by buckling?

a$.$ Short & wide

b$.$ Short & thin

c$.$ Tall & wide

d$.$ Tall & thin

What is the effective length factor $(k)$ for a column with two pinned supports?

a$.0\mathrm{.}5$

b$.0\mathrm{.}7$

c$.1$

d$.2$

What is the effective length factor $(k)$ for a column with one pinned support and one fixed support?

a$.0\mathrm{.}5$

b$.0\mathrm{.}7$

c$.1$

d$.2$

What is the radius of gyration for a column with a cross$-$sectionals area $($A$)$ of $100$ in ${?}^2$ and a moment of inertia $($I$)$ of $400$ in$^4?$

a$.{0\mathrm{.}5}^{\text{'}\text{'}}$

b$.1^{\text{'}\text{'}}$

c$.2^{\text{'}\text{'}}$

d$.4^{\text{'}\text{'}}$

A three$-$story column is loaded with $25$ k from each the roof, $2^{nd}$ floor, and $1^{st}$ floor. Each story is $15\text{'}$ tall, and the column supports are pinned at each floor. Choose an HSS column to resist the applied load. State the allowable axial capacity $(Pa)$ of the column.