CIVIL ENGINEERING FORMULAS

FIGURE 2.2 (Continued)

29

D

At fixed end:

Atx:

Atx: when x =

Atx: when x = 0.4215L

Atx:

R R 1

V

W

x

L

M

M 1

M (max) = WL

9

128

M 1 (max) =

M= L – x

Wx

L

WL

1

8

3

8

1

2

L

3

8

Atx:

D (max) = 0.0054

WL^3

EI

D =

Wx

48 EIL

R 1 = V (max) =

5

8 W

R =

3

8 W

V = W–

3

8

Wx

L

CASE 10. Beam Fixed at One End, Supported at Other—Continuous Load, Uniformly Distributed

• 3Lx^2 + 2x^3 + L^3