CIVIL ENGINEERING FORMULAS

FIGURE 2.2 (Continued)

31 D

D

VV

R 1

Atx 1 : when x 1 < L

Atx: when x < a Atx: when x < a

R

W

2

x

aaL

x 1

M (max) =

(a – x)

Wa

2

M

M =

W

2

At center:

At free ends:

D =

Wa^2 (3L + 2a)

12 EI

D =

Wa L^2

16 EI

R = R 1 = V (max) =

W

2

V =

W

2

CASE 12. Beam Overhanging Both Supports, Symmetrically Placed—Two Equal Concentrated Loads at Ends

W

2