B A
P
C
x
x
l
l
y
y
d
y^3 = x^2
x
d
b
y
y h h
16 P
πlSs
Rectangle:
width (b) con-
stant, depth
(y) variable
Elevation:
two parabolas,
vertices at
points of support
Plan:
semicubic
parabola
Plan:
rectangle
d=
16 Pl
πSs
3
y=
3 P
Ssb
h=
3 Pl
2 bSs
d 3
l
2
Beam
- Fixed at One End, Load P Uniformly Distributed Over l
- Supported at Both Ends, Load P Concentrated at PointC
Cross section
Circle:
diam (y)
variable
Formulas
Elevation
and plan
Elevation
semicubic
parabola
f= P
2 Eb
l
h
3
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