Advanced Methods of Structural Analysis

Appendix 565

Three span beams with equal spans:

B

ll

l

D

AC

Ta b l e A. 1 1

Reactions and bending moments due to different types of loads

Location of the load

Type of load in the loaded span

l

q

P

a

l=

2 a

l=

3 b

PP

bb

b

l=

4 c

PP

cc

c

c

P

l/^2

q

l

R

A

0.400

ql

0:350P

0:733P

1:125P

0.188

ql

R

B

1.100

ql

1.150

P

2.267

P

3.375

P

0.563

ql

M

B



0:100

ql

2



0:150

Pl



0:267

Pl



0:375

Pl



0:063

ql

2

R

A

0.450

ql

0.425

P

0.867

P

1.313

P

0.219

ql

M

B



0:050ql

2



0:075P l



0:133P l



0:188P l



0:032ql

2

R

A



0:050ql



0:075P



0:133P



0:188P



0:032ql

M

B



0:050ql

2



0:075P l



0:133P l



0:188P l



0:032ql

2

R

B

1.200

ql

1:300P

2:533P

3:750P

0.626

ql

M

B



0:117ql

2



0:175P l



0:311P l



0:438P l



0:073ql

2

M

C



0:033ql

2



0:050P l



0:089P l



0:125P l



0:022ql

2

M

B

0:017ql

2

0.025

Pl

0.044

Pl

0.063

Pl

0:011ql

2

M

C



0:067l

2



0:100P l



0:178P l



0:250P l



0:042ql

2