Download - Equivalent Nodal Forces
Transcript
![Page 1: Equivalent Nodal Forces](https://reader034.vdocuments.mx/reader034/viewer/2022050615/552ae36c550346e83a8b45c9/html5/thumbnails/1.jpg)
Equivalent Nodal ForcesDA P P E N D I X
The equivalent nodal (or joint) forces for different types of loads on beam elementsare shown in Table D–1.
d Problems
D.1 Determine the equivalent joint or nodal forces for the beam elements shown in FigurePD–1.
752
Figure PD–1
![Page 2: Equivalent Nodal Forces](https://reader034.vdocuments.mx/reader034/viewer/2022050615/552ae36c550346e83a8b45c9/html5/thumbnails/2.jpg)
Table D–1 Single element equivalent joint forces f0 for different types of loads
f1y m1 Loading case f2y m2
1.�P2
�PL8
�P2
PL
8
2.�Pb2ðLþ 2aÞ
L3
�Pab2L2
�Pa2ðLþ 2bÞL3
Pa2b
L2
3. �P �að1� aÞPL �P að1� aÞPL
4.�wL2
�wL2
12
�wL2
wL2
12
5.�7wL20
�wL2
20
�3wL20
wL2
30
6.�wL4
�5wL2
96
�wL4
5wL2
96
(Continued )
75
3
![Page 3: Equivalent Nodal Forces](https://reader034.vdocuments.mx/reader034/viewer/2022050615/552ae36c550346e83a8b45c9/html5/thumbnails/3.jpg)
Table D–1 (Continued )
f1y m1 Loading case f2y m2
7.�13wL32
�11wL2
192
�3wL32
5wL2
192
8.�wL3
�wL2
15
�wL3
wL2
15
9.�Mða2 þ b2 � 4ab� L2Þ
L3
Mbð2a� bÞL2
Mða2 þ b2 � 4ab� L2ÞL3
Mað2b� aÞL2
75
4