EXAMPLE 4-5: Determine graphically the reactions on the beam in Fig. 4-8. Neglect the weight of the beam. sooo 4000 2000 FIa. 4-8

Structural Analysis
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EXAMPLE 4-5: Determine graphically the reactions on the beam in Fig. 4-8.
Neglect the weight of the beam.
T. I
soo0
2000
FIG. 4-8
Solution: The space diagram is drawn to scale in Fig. 4-9n, and the forces are
labeled with lower-case letters starting with ab, be, and od for the known forces, and
de and ea for the unknown reactions. The last force is labeled ea, since the force
polygon must close, and the end of the last force must coincide with the start of the
first one. The forces AB, BC, and CD are drawn to scale on the force diagram in
Fig. 4-9b. The reactions DE and EA must be along the same line, but their magni-
tudes cannot be determined until point E is located. The pole O is selected at any
017-01-10 07-20 GMT
/hdi.hane
Transcribed Image Text:EXAMPLE 4-5: Determine graphically the reactions on the beam in Fig. 4-8. Neglect the weight of the beam. T. I soo0 2000 FIG. 4-8 Solution: The space diagram is drawn to scale in Fig. 4-9n, and the forces are labeled with lower-case letters starting with ab, be, and od for the known forces, and de and ea for the unknown reactions. The last force is labeled ea, since the force polygon must close, and the end of the last force must coincide with the start of the first one. The forces AB, BC, and CD are drawn to scale on the force diagram in Fig. 4-9b. The reactions DE and EA must be along the same line, but their magni- tudes cannot be determined until point E is located. The pole O is selected at any 017-01-10 07-20 GMT /hdi.hane
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