CIVIL ENGINEERING FORMULAS

(Frankie) #1

42 CHAPTER TWO


0 0.05 0.10 0.15


m =

MF


WL


W


aL

0.20


0


1.0


0.1


0.9


0.2


0.8


G 2


= 0.05 G 2


= 0

G


2 = 0


G 2


= 0.15


G 2


G 2 = 0.20


= 0.25

0.3


0.7


a

0.4


0.6


Use upper line for MRF

Use lower line for MLF

0.6


0.4


0.7


0.3


0.8


0.2


0.9


0.1


1.0


0


0.5


G


2 = 0


S
3 = 0

S


3 = 0.05


for m

R

(–0.05


for m

L)


S


3 = –0.05


for m

R

(0.05


for m

L)


G 2
= 0.10

G^2 = 0.10


FIGURE 2.7 Chart for fixed-end moments due to any type of loading.
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