SAMPLE PROBLEMS:

The beam is fabricated by attaching a C $18015$ channel to a $25018$ shape with a $15mm$ e rivets as shown. The maximum shear force in the beam is $65kN.$

Prom. $of18015$ channel

$A=1850m{m}^2,Ix=8\mathrm{.}86{10}^{6}m{m}^4,ly=0\mathrm{.}405{10}^{6}m{m}^4$

$tw=5\mathrm{.}3mm,x=13\mathrm{.}8mm$

Prop. of W $25018$

$A=2270m{m}^2,lx=22\mathrm{.}4{10}^{6}m{m}^4,bf=101mm,d=251mm$

$tw=4\mathrm{.}8mm,tf=5\mathrm{.}3mm$

$($a$)$ Determine the moment of inertia at the neutral axis of the beam.

$($b$)$ Determine the maximum allowable spacing of the rivets if the working stress is $100$MPa in shear.

$($c$)$ Determine the corresponding maximum bearing stress exerted by the rivets.

Answer key $(($:$a$:$36\mathrm{.}76{10}^6(mm)4,b$:$167\mathrm{.}61(mm),c$:$85\mathrm{.}37$MPa$\}$