Problem $1$: $(50$ Points$)$

Given: A W$8$ x $35$ floor beam shown in the figure supports a moving concentrated load $(P)$ and is braced for lateral displacement and torsion at the supports only. Deal Load, $P_{DL}=1\mathrm{.}25$kips and Live Load, $P_{LL}=10$ kips. The beam is ASTM A$992$ steel. The concentrated load is free to move from $x=2ft.$ to $x=23ft.$ along the beam. IBC $2015$ deflection requirements for floors are: $V_a\frac{M_n}{{}_b}\frac{V_n}{{}_v}({}_L)({}_{D+L}){}_{D+L}.$

Find: $(ASD$ Method$)$

Maximum Design Moment, $Ma$

Maximum Design Shear Force, $V_a$

Flexural Strength,$\frac{M_n}{{}_b}$

Shear Strength,$\frac{V_n}{{}_v}$

Maximum live load beam deflection $({}_L)$

Maximum total beam deflection $({}_{D+L})$

$Is$ the beam adequate according $to$ AISC and IBC $2015$ requirements?

Explain:

Answers:

$Ft-$kip $(10)$

Kips $(5)$

$Ft-$kip $(10)$

Kips $(10)$

$in.(5)$

$in.(5)$

$Ye\frac{s}{N}o(5){}_L$ and ${}_{D+L}.$

Find: $(ASD$ Method$)$

Maximum Design Moment, $Ma$

Maximum Design Shear Force, $V_a$

Flexural Strength,$\frac{M_n}{{}_b}$

Shear Strength,$\frac{V_n}{{}_v}$

Maximum live load beam deflection $({}_L)$

Maximum total beam deflection $({}_{D+L})$

$Is$ the beam adequate according $to$ AISC and IBC $2015$ requirements?

Explain:

Answers:

$Ft-$kip $(10)$

Kips $(5)$

$Ft-$kip $(10)$

Kips $(10)$

$in.(5)$

$in.(5)$

$Ye\frac{s}{N}o(5)$