Learning Goal:

To be atile to deterrine a simple aren's radius of gration. In situctural methatics, an ares's radius of gyration sbout an axis is a quantety thet is oflem used in the design of columns. the mali of gration are delerrined from the following formulan

$k_x=\sqrt[\phantom{2}]{\frac{T_z}{A}}$

$k_i=\sqrt[\phantom{2}]{\frac{T_3}{A}}$

$k_O=\sqrt[\phantom{2}]{\frac{T_O}{A}}$

polar moment of ineris, and $A$ is the ares.

Part A

Which, if any, of the following thoices we the correct units for the radus of gyation?

Check all that apply.

$m^4$

$f{t}^3$

$f{t}^2$

m

ft

$m^2$

$f{t}^4$

Reguatitantwar

Part B

As shown, a triangle has a base of $b=5\mathrm{.}80ft$ and a height of $h=4\mathrm{.}10ft.$ Clipure $1$ What is $k_x,$ the riangle's radius of gyration about the $x$ axas? Exprese your anewer numerically to three algnificant ngures and include the eppropriate unita.

Viow avaliabla Hintig$)$

$$

$k_z=$

Units

Part C Exprese your anewer numerically to threo alignticant ngures and includa trie appropriate unite.

Vlew Avalable Hintio$)$

$$

$k_0=$

$$

Part D Exprese your answar numerically to three Algnificant ngures and include the appropriate unite.

View Avallable Hint$($e$)$

$$