You have wooden roof purlins spaning 14 from rafter to rafter, the…

You have wooden roof purlins spaning 14 from
rafter to rafter, the purlins are 3 ft on center , you
determine that the existing purlins are (2×6) dug fir
and cannot support the weight of solar panels so
you need to stiffen up the purlins by sister-ing a
(2×4) to the existing (2×6) purlin. justify your
answer using calculation on why or why not a (2×4)
would be enough to stiffen the (2×6) purlin to be
able to hold the solar load.

Givens :

Dead load : .02 kips
Live load : .02 kips

Solar load : .0025

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