From AISC Manual (or similar steel design tables):
For W14 x 43:
Moment of inertia, $$I_x = 428 \text{ in}^4$$
For A992 steel:
Modulus of elasticity, $$E = 29,000 \text{ ksi}$$
The given distributed load is $$w = 3.6 \text{ kip/ft}$$.
The beam has a total length
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