Slope Deflection Method - Frame with Support Settlement Example
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- เผยแพร่เมื่อ 17 ก.ย. 2024
- In this question we solve a basic frame's reactions and SFD/BMD using the slope deflection method. Single support settlement.
Link to Slope Deflection Introduction: • Slope Deflection Metho...
Link to Slope Deflection Modified Equation Method: • How to Use Modified Sl...
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In a beam problem I had with singularity functions, one of the compatibility equations was that the Moment of a support is zero... does that mean the sum of the moments is zero or that there's no moment in the reaction??
Hey man, thanks for your questions. It depends on what kind of support you're talking about. If the support in question resists rotation, there will be a moment developed at that support, assuming some load is acting on the beam. However, if you have a support that doesn't resist rotation, e.g. pin or roller connection, the sum of moments at that support must equal zero.
Just a hint: It helps to think about it in terms of restraint against rotation or movement. If a support prevents a member or whatever it's attached to from moving, the support itself must be resisting that movement and that internal force will be developed there.
When to use the modified slope deflection equation?
Shouldn't it be wL^2/8 for the FEMcd? From the tables I have, wL^2/12 is when there are moments on both sides like both ends are fixed ie.
wL^2/8 is the equation for the maximum moment of a simply supported beam at midspan. wL^2/12 is the formula for a beam in which both ends have fixed supports, and is the value of the moment at the supports. Hope that helps!
@@AFMathandEngineering wl^2/8 is FEM_cd where joint C is fixed and joint D is a pin or roller. Also if Joint D is a pin or roller, there is no fixed end moment so FEM_cd would not equal -FEM_dc.
@@billyjanssen5823 reread his post, I was clarifying to him why we don't use wl^2/8. It doesn't matter if there isn't any fixed end moment in the actual beam, assuming the ends are fixed and finding the moment is a technique used in a number of structural analysis techniques.
@@AFMathandEngineering so when im finding FEM for any question, i just have to assume both ends are fixed eventhough there is a roller support in the question?
@@wilsonteh1467 Yes
If the Frame is sway but the question say "Neglect the axial deformation " then how to solve the problem (Can I consider as non-sway Frame ?)
It sounds like they want you to ignore p-delta (second order) effects on the frame with that note. Does the question say sway? If it states sway I dont think you can assume non sway.
Or perhaps they're referring to slenderness of the members (buckling) that you can ignore. Sorry I'd need to see the question!
2020