![]() ![]() ![]() Green rather than red, even though the stresses are the same as before)Īnother way to reduce stress concentration issues at the mountingĮnd is to apply a simple fixed face constraint (which is normallyĭangerous), but isolate it by thickening the beam to lower stresses. These are atħ7 MPa, so the whole colour bar has been re-scaled (hence the beam is Stresses look more uniform when close to the mounting, but now we haveīig stress concentrations on each end of the rigid line. We now add a frictionless face constraint to prevent rotation. Now the rigid face constraint is replaced with a rigid edge constraint to reduce how rigidly the face is locked up. This is not correct, the rigid constraint There is higher stress in the middle (41 MPa) and lower Movement of this face, so it does not get a uniform stress along the However, this fixed constraint completely eliminates any The cantilever does not need to be modelled as a complete assembly.Įven a simple beam with a fixed constraint on the end face could Then you can gradually refine it - if necessary. It is always good to begin analysis with something very simple first. Larger image Different ways of constraining the beam for realistic FEA results The beam rig, including the mounting frame Ī full assembly is optional (we will be doing FEA on assemblies in a later assignment) Information (beam material, cross-section, length, mass etc), then Permitted without documented special circumstances.Īluminium beam jig, compare the deflection of various loadings on a Reports will be returned for a second attempt. Submitted to WSI Online assignment by the due date. Word document containing no attachments (all images etc embedded). This report must be submitted as a single Must use the actual dimensions, not these! ![]() Load applied at the end of the beam is 5kg. Moment of area about the neutral axis x = The distance to the neutral axis = 6.35/2 = 3.18 mm These can be reviewed in MEM30006Aīoth the maximum stress and the maximum deflection will beĪdding Forces in Excel (Mathematical addition ofĪllowable bending moment from bending stress equation In this exercise we will use two methods to predict theīehaviour of a cantilever beam made of aluminium.Ībove). = WL 3/(3EI) which occurs at the end of the beam. Simple cantilever to see how they compare to the real thing.Ĭantilever beam, where a weight W is applied at the end of the Use simple formulas for simple shapes or we can turn to Finite ElementĪnalysis (FEA) for complex shapes. Formulas is to be able to predict the behaviour of an object. ![]()
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