Statics of balance beams and loaded inclined bars

Dividing the weight of an inclined bar a b

For a bar a b weighing 3, the true division of the load is found where a perpendicular h m raised at the midpoint of a f meets the line a b, at point m. Since a m is two-thirds of a b, a carries two parts of the weight and b one.

A weight of 30 hung at a triangle's apex m

If the corner m bears a weight of 30, a line dropped from m perpendicular to the base a c divides the load: as much as b c enters by measure into c a, so much a b enters by weight into b c, so b c is the divider of c a.

A weight that reads nothing on the steelyard

Below, a balance with an oblique appendage carries a weight marked 10; the note remarks that this weight of 10 weighs nothing on the steelyard.

Margine superiore. Due aste di bilancia, con:

Altra asta, con:

Altro schema, con:

Asta o trave inclinato, con:

In basso, bilancia con appendicolo obliquo e il peso:

Schema, con:

Upper margin. Two balance beams, with:

Another beam, with:

Another diagram, with:

Inclined beam or bar, with:

Below, a balance with an oblique appendage and the weight:

Diagram, with:

Statics of balance beams and loaded inclined bars

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Dividing the weight of an inclined bar a b

A weight of 30 hung at a triangle's apex m

A weight that reads nothing on the steelyard