Problem 2.1.1
Naturally-Occurring Self-Supported Structure Spotted Near Seaton
Standing between Seaton, Regnier, and Holtz Halls is a very old and sturdy example of a natural structure. [3]
GIVEN: Two white arrows are superimposed on this photo of a very old tree near Seaton
Hall. The lower arrow points at the base of the tree’s trunk, whereas the upper arrow points
at the base of its lowest limb. Neither the base of the limb nor base of the trunk permits
translation or rotation in/about any direction.
ā l . A horizontal
The limb extends outward towards the West. The limb’s weight is W
ā t.
distance of dl separates its line-of-action from the trunk. The trunk’s weight is W
A North wind Pāw blows on the limb. Its line-of-action is separated from the trunk by
horizontal distance dw , and from the base of the limb by a positive height of hw .
PROMPT: Determine the action(s) exerted on the trunk by the limb.