CIVIL ENGINEERING FORMULAS

152 CHAPTER FIVE

FIGURE 5.4 (Continued)

(a)Resultant in middle third

(b)Resultant at edge middle third

(c)Resultant outside middle third

Rv

P 2

R

Whena = ,

L/3

a

Rv R

L/3

a

L

P 1

P 1

P 1 = (4L – 6a)

Rv

L^2

P 2 = (6a – 2L)Rv

L^2

L

2

P 1 = P 2 =

P 2 P 2 = O

Rv

L

P 1 =

2 Rv

L

P =

2 Rv

3 a

Rv R

L/3

a

3 a

P

(b)