Advanced Methods of Structural Analysis

306 8 The Displacement Method

8.1–8.2.A two-span uniform beam with pinned and rolled supports is subjected to a
fixed load (Figs.P8.1andP8.2). Provide complete analysis for each design diagram.

q

ll

1

Fig. P8.1

l ul ul

1

P

C

Fig. P8.2

Ans. (8.1)M 1 D

ql^2

16

;(8.2)M 1 D

Pl

4





1 ^2



8.3–8.4.A two-span uniform beam with fixed left and rolled right support is sub-
jected to fixed load (Figs.P8.3andP8.4). Provide complete analysis.

ll

q

0 1

Fig. P8.3

l

1

ul

P

ul

Fig. P8.4

Ans. (8.3)M 0 D

ql^2

28

I M 1 D

ql^2

14

;(8.4) M 1 D

2

7

Pl



1 ^2



.

8.5.A two-span beam uniform beam with two fixed ends is subjected to fixed load
(Fig.P8.5). Provide complete analysis.