Problems on section Properties

Note A$,$B and $C$ are last $3$ digits of student number

Student Number $C=5$ ; $B=2$ ; $A=0$

Channel Section $=$ C$12$ x $30$

Wide Flange Section $=$ W$24$ x $162$

Angle Section $=$ L$65$ x $50$ x $8$

$($For Problems $1-2)$

Determine the properties of the combined sections shown below

a$.$ Area

b$.$ centroid

c$.$ Moment of inertia $($ix an iy$)$

d$.$ Section modulus $($sx and sy$)$

e$.$ Radius of Gyrarion $($rx and ry$)$

f$.$ Section modulus ar an axis of max moment of inertia $($Smax I$)$

g$.$ Radius of gyrarion at an axis of min moment of inerria $($rminI$)$

Use the steel manual for the properties of the above rection

Channel section and angular section with longer vertical itg

Two identical Channel sections placed back to back with a clear distancr of $25mm.$

Given a wide flange section, $($WF section $=$ W$24$ x $162)$ Derermine the following:

a$.$ Maximum moment of inertia in $m{m}^4.$

b$.$ Minimum moment of inertia in $m{m}^4.$

c$.$ Momen t of inertia in $m{m}^4$ with respect to the $x^{\text{'}}-$axis, rotered counterclockwise $55$ from the axis

d$.$ Product moment of ineria in $m{m}^4$ with respect to the $x^{\text{'}}-$axis.

e$.$ maximum product moment of inertia in $m{m}^4$

f$.$ minimum product moment of inertia in $m{m}^4$