i'i = we,






and for tho resultant of W and W which ai
through the point C,



Ce = "W^— tan. «; Cd = W--^—
Taking tho segment A C, It will be seen that its fibres will bo alralned by the



,di„Google









APPENDK.
m


force W — , i


acting at A


to produci


3 simple


defieotioa ;


and


by the force W ~~


tan. a, DctiQg


in the direetioii C e,


to produ


pe direct t


rxten,


Si03.
The limits of thB


Etrains on the


unit of ai


-ea of Hio


crosa-aec


tion an a




iiKle,


in which d and *


represent the


sides, 33 ia


tlie preceding case.
, will be,









d for W" < R' + R",



iirect compression, tliere obtains for this liml^



e of three beams ariiiiig fiw,



in which i" and (f are the sides of the rectangular cr

Like eipreBaona would bo found for the bar, tha directions of the direct strains
being reversed. Those on the segment A C being compressions, and those on the

Case 8. (Fig. T.) Slmina on the parts ef afran
presiure at one of the angular pointu, or from pressures iiniformly distributed tn>
lengths of imo of the parts.
In this comhitiation the beams are
united at the angular points by some of
tlio usual joints for such purposes.
Suppose, in the first place, the beam
B C to be horizontal, and to rest on two
filed supports at B, C, and the pressure
ntA to arise from a weight W.
