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Positive and negative torques acting on the rod are equal in magnitude as long as the rod is static. So it doesn't mater if we chose those that act in clockwise or counter-clockwise direction.
In that case we can define bending moment M as counter-clockwise torque at that point.
M = N1*x+N2*(y+z).
Force F is not in the equation since it acts in the opposite direction.
In statics sum of all forces acting on the rod has to be zero, otherwise it would accelerate in the direction of...
Yes. Negative and posive torque components do counteract. In fact they are equal in magnitude and thefore make net-torque zero.
But it doesn't mean the rod it not under bending load. It just means that it's not rotating as the result of all those forces.
The bending moment calculated from...
Okay so in this case we have two forces aplied in the opposite directions y distance appart from each other like in the picture below:
Since both F1 and F2 are aplied by a single hand they have to be equal due to Newton's third law.
In order to find the bending moment M we have to figure...
This is not about complexity either. I don't find my method any more compicated since it only uses different values and take into account the level of fragmentanion. But doing that would require us to revise tens of thousands of profiles and pages and nobody wants to do that.
Yes, unfortunately this formula only works for bending long poles or flat sheets across their entire length. I have absolutely no idea or how to calcute a randomly shaped dent on a flat sheet
In this context moment of inertia means this. It is used to calculate elastic section modulus. The mass moment of inertia is calculated in a very similar way hence the same name. In fact if we multiply area moment of inertia by density we will get mass moment of inertia where neutral axis turns...
This V bending calculator uses the method I've shown above. It assumes rectangular cross section, fully plactic deformation, and 3-point bending (case 3 in the picture above). It also uses ultimate tensile strength instead of yeild strength to get the highest result posible. Yeild strength is...
Since the whole thing was never resolved I'm going to explain bending formula.
I am not going to cover the math explaining how it works (Although I can do it in case further explanation is required) but I am going to make a quick guide.
If the bending deformation is plastic the first thing we...