Problem Statement:

You are given a simply supported beam with the following characteristics and loading conditions:

Span $($Length of the Beam$)$: The beam is $18$ feet long.

Loading:

Dead Load $($DL$)$: The beam is subjected to a dead load of $1\mathrm{.}7$ kips per foot. This load is due to the weight of the beam itself and any permanent fixtures attached to it$.$

Live Load $($LL$)$: On top of the dead load, the beam carries a live load of $3\mathrm{.}3$ kips per foot. This represents variable loads that may be applied to the beam, such as furniture, people, and other temporary equipment.

Cross$-$Sectional Dimensions:

The beam has a rectangular cross$-$section with a width of $10$ inches and a height of $20$ inches.

Given Information for Calculations:

$$

$=$

$18$

L$=18$ feet $($Beam length$)$

$$

$$

$=$

$1\mathrm{.}7$

DL$=1\mathrm{.}7$ kips$/$foot $($Dead Load$)$

$$

$$

$=$

$3\mathrm{.}3$

LL$=3\mathrm{.}3$ kips$/$foot $($Live Load$)$

Beam cross$-$section width $=10$ inches

Beam cross$-$section height $=20$ inches