Page 104 - Civil Engineering Formulas

x 3 l h x 6Pl bS s
6P h 2 S s 6Pl h 2 S s Deflection at A: 6P bE 6P kS s ky 3 kh
= = = = = = =
y b f y 3 z h b

Elevation: rectangle Plan: triangle Elevation: cubic parabola Plan: cubic parabola

Rectangle: width (y) var -iable, depth (h) constant Rectangle: width (z) var -iable, depth (y) variable k (const)

Beams of uniform strength (in bending).
z = y

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

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