| |
Example 4.10 For the pin-jointed structure shown in the Figure 4.15, find the horizontal and vertical displacement of the joint D . The area of cross-section, A =500
 and E =200,000
 for all the members. |
| |
|
|
| |
Solution: The axial rigidity of the members,
 kN. The computation of the desired displacements is presented in Table 4.3 |
| |
Table 4.3
|
| |
|
Member |
|
|
For
 |
For
 |
|
|
  L |
|
  L |
|
AB |
2 |
|
|
1920 |
0 |
0 |
|
BC |
2 |
|
|
480 |
0 |
0 |
|
CD |
2 |
|
|
480 |
0 |
0 |
|
DE |
2 |
|
|
120 |
1 |
-
 |
EF |
2 |
|
-
 |
1080 |
1 |
- |
CE |
2 |
-
 |
-
 |
480 |
0 |
0 |
BF |
2 |
|
|
480 |
0 |
0 |
|
| |
|
|
| |
The horizontal deflection of  = 55.2 mm  |
| |
The vertical deflection of  = - 8.31 mm  = 8.31 mm  |
| |
|
