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Regular

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vs.

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projected

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loading

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Loading

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differs

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when

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applied

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to

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either

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Global

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Axes

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or

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Projected

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Global

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Axes

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in

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that

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projected

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loading

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is

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distributed

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along

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the

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horizontal

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projection

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of

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an

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inclined

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member.

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In

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this

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case,

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loading

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is

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scaled

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by

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the

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cosine

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of

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the

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incline

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angle

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such

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that

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the

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gravity

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component

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is

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applied.

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For example, take an inclined member which is subjected to ice and snow loads. Here, a 1kN/m ice load is applied to Global Axes such that it acts along the member, and a 1kN/m snow load is applied to Projected Global Axes such that its gravity component is present. This is realistic in that snow loads align with the gravity direction regardless of incline. The left side of Figures 1 and 2 (Global Axes) show the load and reaction of this ice load on an inclined member which is released from flexure. The right side (Projected Global Axes) shows that of the snow load. Differences are apparent.


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Figure 1 - Global-Axes and Projected-Global-Axes loading


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Figure 2 - Global-Axes and Projected-Global-Axes reactions