CIVIL ENGINEERING FORMULAS

OC

P

x

AB

b

Rectangle:

width (b) con-

stant, depth

(y) variable Plan:

rectangle

3 Pl

4 bSs

h=

f=

h y y h

l

2

Elevation:

ellipse

Deflection at O:

l

2

h 2

+ = 1

y^2

3 Pl

4bSs

x^2

1

64

=^3

16

P

bE

l

2

2

l

h

3

4. Supported at Both Ends, Load P Uniformly Distributed Over l

Pl^3

EI

Ox

A B

b

Rectangle:

width (b) con-

stant, depth

(y) variable

Major axis = l

Minor axis = 2h

Plan:

rectangle

3 Pl

2 bSs

h=

h y y h

l

2

Elevation:

ellipse

l

2

h 2

+ y = 1

2

3 Pl

2bSs

x^2

l

2

2

Beam

3. Supported at Both Ends, Load P Moving Across Span

Cross section Formulas

Elevation

and plan

60