Page 87 - Civil Engineering Formulas

42 CHAPTER TWO

W
M F aL
m =
WL
0 0.05 0.10 0.15 0.20
S 3 = 0.05 for m R S 3 = –0.05 for m R G 2 = 0
(–0.05 for m L )
(0.05 for m L )

S 3 = 0 G = 0.10 G 2 = 0.05 G 2 = 0
2
2
G = 0.10
G G
2 2
= 0.20
= 0.15
= 0 G 2 = 0.25
G 2
0 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1.0
0.5
1.0 0.9 0.8 0.7 0.6 0.4 0.3 0.2 0.1 0
Use upper line for M F
R
a
Use lower line for M F
L
FIGURE 2.7 Chart for fixed-end moments due to any type of loading.