Page 103 - Civil Engineering Formulas

Deflection at A:
3
h
l
x
x
h 2 S s
h 2 S s
6Pl
kS s
6P
6P
bE
6P
ky
=
=
=
=
=
f
b
z
y 3
y
cubic parabola
Elevation:
Elevation:
rectangle
triangle
Plan:
width (y) var
width (z) var
-iable, depth
-iable, depth
(h) constant
Rectangle:
Rectangle:
Beams of uniform strength (in bending).
z (y) variable Plan: 6Pl 3 = h k (const) = cubic parabola bS s y kh = b
h
y
y b
b z
P b 3
h
A A P 2
h
x x
2 3
FIGURE 2.17
l y y l z
B h b
B
b
h
55