Alternatively adding the virtual work equations

The combined mechanism can be evaluated in a Table as shown: Independent and Combined Mechanisms for Example 8.7

Hinge Position

(i)

(ii)

(iii)

(iv)

(v)=2(i)+(iii)

B (Mp)

+2.09

-

-

-

+2.0 9

C (Mp)

-9

-9

-

+2.09

EH (2.0Mp9)

D (Mp)

-

+2.00

-

-

-

Examples

in structural analysis

728

E (Mp)

-

-0

+0

-2.250

-2.250

F (2Mp)

-

-

-2.00

-

-

External Work

60.00

60.00

63.00

290.00

410.00

Internal Work

3.OMp0

4.0Mp0

3.0Mp0

6.75Mp0

10.75Mp0

Eliminated hinges

-

-

-

-

2.0Mp0

Combined Mpd

-

-

-

-

8.75Mp0

Mp (kNm)

20.0

15.0

21.0

42.96

46,86

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