Page 308 - Civil Engineering Formulas

242 CHAPTER NINE

w
a b

b
3 w 3
2
H a 1 2 H 2
1
H H 1
V 2 V
V 1 V
FIGURE 9.9 Pinned supports, con- FIGURE 9.10 Pinned supports, con-
centrated load on the horizontal centrated load on one vertical member.
member. (Roark–Formulas for (Roark–Formulas for Stress and Strain,
Stress and Stress, McGraw-Hill.) McGraw-Hill.)

With pinned supports and a uniform load on the horizontal member, Fig. 9.11:
2
L 3 (L 1 L 2 )
H W
2 3 3 2
8L 1 L 3 4L 1 L 2 L 3 8L 1 (I 3 /I 1 ) 8L 2 (I 3 /I 2 ) 8L 2 L 3 4L 1 L 2 L 3
(9.117)
1 WL 3 H(L 1 L 2 )
V 1 2 (9.118)
L 3
With pinned supports and a uniform load on the vertical member, Fig. 9.12:
3
2
1 5L 1 (I 3 /I 1 ) 2L 1 L 2 L 3 4L 1 L 3
H 2 W (9.119)
3
2
2
3
8 L 1 (I 3 /I 1 ) L 2 (I 3 /I 2 ) L 1 L 3 L 2 L 3 L 1 L 2 L 3
1 WL 1 H 2 (L 1 L 2 )
V 2 (9.120)
L 3
W
3 3
2 W 2
1 H 1 H 2
H H 1
V 2 V
V 1 V
FIGURE 9.11 Pinned supports, FIGURE 9.12 Pinned supports, uni-
uniform load on horizontal member. form load on vertical member.
(Roark–Formulas for Stress and (Roark–Formulas for Stress and Strain,
Strain, McGraw-Hill.) McGraw-Hill.)