Concept explainers
If the roller at B can sustain a maximum load of 3 kN, determine the largest magnitude of each of the three forces F that can be supported by the truss.
Prob. R4-1
Find the largest magnitude of each of the three forces F that can be supported by the truss.
Answer to Problem 1RP
The largest magnitude of each of the three forces F that can be supported by the truss is
Explanation of Solution
Given information:
- The maximum load (P) of a roller support is 3 kN.
- The length (L) between support A and B is 2 meters.
- Intensity of load is F and the load is acting at a distance of 2 m, 4 m, and 6 m respectively from support A.
Calculation:
Show the free body diagram of the truss as in Figure 1.
Use Figure 1.
Determine the largest magnitude of each of the three forces F that can be supported by the truss by taking the moment about support A.
Here, the distance of force F acting on a truss at various points is
Show the calculation of force as follows:
Conclusion:
Substitute 6.0 m for
Thus, the largest magnitude of each of the three forces F that can be supported by the truss is
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