Page 114 - Civil Engineering Formulas
P. 114
= 1
= 1 y 2 3Pl 4bS s 3 l h
Formulas y 2 + 3Pl 2bS s 3Pl 2bS s + 2 3Pl 4bS s Deflection at O: Pl 3 1 EI 64 P 3 bE 16
x 2 2 l 2 = x 2 l 2 = = =
h h f
Elevation and plan Elevation: ellipse Major axis = l Minor axis = 2h Plan: rectangle Elevation: ellipse Plan: rectangle
Cross section 3. Supported at Both Ends, Load P Moving Across Span Rectangle: width (b) con- stant, depth (y) variable 4. Supported at Both Ends, Load P Uniformly Distributed Over l Rectangle: width (b) con- stant, depth (y) variable
h
b h
b y y
Beam B l 2 y B C P
y
x x l 2
O
h
h
O
l 2 2 l 2
2
A h h
A
60