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130 Molesworth's pocket-book
Beams of Equal Strength throughout their length.
The section is supposed in all cases to be rectangular throughout. Thø
beams shown in plan are of uniform depth throughout. Those shown in
elevation are of uniform breadth throughout.
B = Breadth of beam. D = Depth of beam.
Fixed at one end, loaded at th©
other; curve parabola, vertex at
loaded end; B D2 proportional to
distance from loaded end.
Fixed at one end, loaded at the
other ; triangle, apex at loaded end ;
BD2 proportional to the distance
from the loaded end.
elevation.
Fixed at one end ; load distributed ;
triangle, apex at unsupported end ;
B D2 proportional to square of dis-
tance from unsupported end.
Fixed at one end * load distributed •
curves two ps.rabolas, vertices touch-
ing each otN r at unsupported end ;
B D2 proport n al to distance from
unsupported end.
Supported at both ends; load at
any one point; two parabolas, ver-
tices at the points of support, bases
at point loaded ; B1W proportional
to distance from nearest point of
support.
Supported at both ends; load at
any one point; two triangles, apices
at points of support, bases at point
loaded ; B D2 proportional to distance
from the nearest point of support.
Supported at both ends; load dis-
tributed ; curves two parabolas, ver-
tices at the middle of the beam :
bases centre Uno of beam ; B D2 pro-
portional to product of distances from
joints of support
Supported at both enrfa; load dis-
tributed ; curve semi-ellipse; B D2
proportional to the product of the
distances from the points of support.
ELEVATION.