The American House-Carpenter; a Treatise On the Art of Building, And the Strength of Materials

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But, as it rarely occurs in systems of framing that weights can be supported by any single resistance, they requiring generally two or more sup- ports, (as in the case of a roof supported by its rafters,) it be- comes important, therefore, to know the exact amount of pres- sure any certain weight is capable of exerting upon oblique supports. Now it has been ascertained that the three lines of a triangle, drawn parallel with the direction of three concur- ring forces in equilibrium, are in propo...rtion respectively to these forces. For example, in Fig. 206, we have a represen- tation of three forces concurring in a point, which forces are in equilibrium and at rest ; thus, the weight, W, is one force, and the resistance exerted by the two pieces of timber are the other two forces. The direction in which the first force acts is vertical — downwards ; the direction of the two other forces is in the axis of each piece of timber respectively. These three forces all tend towards the point, b.

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