Is there a formula to calculate a shape value for a roof in connection with snow pockets (due to buildings that are lower than the neighboring building, snow blowing in against it along the roof)?

There is an ordinary snow load, say 2 kN/m2, then we have an additional snow load due to the snow pocket, say 6 kN/m2, whose weight decreases linearly towards the gable. But I'm not sure how to implement that in a load calculation without risking over-dimensioning.

The normal beam spacing is typically about 1200 mm. So I've calculated it as 1.5 * 2 * 1.2 for variable load for the dimensioning of the cross beams along the roof. But that snow pocket has to fit in somewhere.
 
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