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Resolution of forces into x and y components. A roof purlin, supported by a rafter, must...

Resolution of forces into x and y components.

A roof purlin, supported by a rafter, must support a 300# vertical snow load. Determine the components of P, perpendicular and parallel to the axis of the rafter.

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Answer #1

At purlin

Given that,

Vertical snow load applied on a roof purlin is

From figure,

The component of the force which is parallel to the axis of rafter

Therefore, the component of the force which is parallel to the axis of rafter is 94.8 lb

The component of the force which is perpendicular to the axis of rafter

Therefore, the component of the force which is perpendicular to the axis of rafter is 284.7 lb

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