![]() So we start this problem with four unknown reactions, but we only have three statics equations at our disposal. ![]() Point F is on a roller bearing, which implies that we have: Point A is a "Fixed" constraint, which implies that we have: Generally speaking, through using these three equations we can solve for up to three unknown parameters in our body. The sum of all torques about the z-axis must equal zero.The sum of all forces in the y-direction must equal zero.The sum of all forces in the x-direction must equal zero. ![]() If we don't know a least some of the reactions at A and F, then we almost certainly can't solve for shear/moment diagrams.įor 2D problems like this one, the standard way that we go about solving for the unknown reactions is by using the "net forces and torques must equal zero" equations. we almost always need to solve for our unknown reaction forces and moments first. Now, the general methodology that we can use when trying to make shear & moment diagrams is making imaginary "cuts" at an arbitrary position "x" along the beam in each distinct section of the beam, redrawing either the left-side-of-the-cut or right-side-of-the-cut free-body diagram (which will have the internal shear and internal moment terms on the cut surface), and then using standard statics equations to solve for the internal shear and moment in each segment of the beam.īUT before we can start all that process with the "cuts" and redrawing free-body diagrams and such. In particular, are you sure that the constraint at point A is a "fixed constraint" (like being welded to the wall), and not a "pin joint constraint"? This has big implications for the techniques we'd need in order to solve this one. If I am misinterpreting some aspect of this beam, particularly the constraint present at point A, please let me know. This problem is quite lengthy, so I won't work it all out here, but I will explain how to approach it, and why I think it is tricky.
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