CIVIL ENGINEERING FORMULAS

242 CHAPTER NINE

With pinned supports and a uniform load on the horizontal member, Fig. 9.11:

(9.117)

(9.118)

With pinned supports and a uniform load on the vertical member, Fig. 9.12:

(9.119)

V (9.120)

1

2 WL^1 H^2 (L^1 L^2 )

L 3

H 2 

1

8

W

5 L^31 (I 3 /I 1 ) 2 L 1 L 2 L 3  4 L^21 L 3

L^31 (I 3 /I 1 )L^32 (I 3 /I 2 )L^21 L 3 L^22 L 3 L 1 L 2 L 3

V 1 

1

2 WL^3 H(L^1 L^2 )

L 3

HW

L 32 (L 1 L 2 )

8 L 12 L 3  4 L 1 L 2 L 3  8 L^31 (I 3 /I 1 ) 8 L^32 (I 3 /I 2 ) 8 L^22 L 3  4 L 1 L 2 L 3

3

1

2

w

a b

V 1

V 2

H

H

3

1 2

w

b

a

V

V

H 2

H 1

FIGURE 9.9Pinned supports, con-

centrated load on the horizontal

member. (Roark–Formulas for

Stress and Stress, McGraw-Hill.)

FIGURE 9.10 Pinned supports, con-

centrated load on one vertical member.

(Roark–Formulas for Stress and Strain,

McGraw-Hill.)

FIGURE 9.11 Pinned supports,

uniform load on horizontal member.

(Roark–Formulas for Stress and

Strain, McGraw-Hill.)

FIGURE 9.12 Pinned supports, uni-

form load on vertical member.

(Roark–Formulas for Stress and Strain,

McGraw-Hill.)

3

1

2

W

V 1

V 2

H

H

3

1

W 2

V

V

H 2

H 1