Solution to Problem 637 | Deflection of Cantilever Beams

Problem 637
For the beam loaded as shown in Fig. P-637, determine the deflection 6 ft from the wall. Use E = 1.5 × 106 psi and I = 40 in4.



Solution 637



Why is it that we are considering the reaction moment and reaction force to find deflection in this case but not in the case of previous problem. I know that we are trying to find the deflection at the free end in the previous problem and at a point on the beam in this problem but why are the considerations different? Please answer. I'm unable to comprehend this logic and I need help

One word: convenience. If we take the support as our moment center, we will have this moment diagram:



The blue area is not easy to calculate, much worse in finding its centroid. In the previous problem, the moment diagram by parts are just triangular, making it very convenient.

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