Advanced Methods of Structural Analysis

Appendix 577

Hingeless parabolic arches

.f

=l

/

.^1

=^4

/.

Cross section of the arch uniform or slightly changing through the span:

A

B

C l

f

H

A

HB

RA

RB

M

B

M

A

Ta b l e A. 1 9

Reactions and bending moments due to different types of loads

Loading

R

A

H

M

A

M

B

M

C

1

P

l/^2

P^2

1564

Plf

Pl^32

Pl^32

(^364)
Pl
2
P
ul
P.1

u/
2 .1
C
2 u
/
154
Plf
(^2) u
.1

u/
2

Pl^2
u.1

u/
2 .2

5 u
/
Pl^2
(^2) u
.1

u/.3

5 u
/
u
0:5

Pl^4
(^2) u
.3

10
u
C
5 u
2 /
3
q
l/^2
1332
ql
ql
2
16f

ql
2
64
ql
2
64
0 (continued)