Recent content by mohamadh95

  1. M

    Why does it keep getting harder to break a pencil in 2?

    Consider a pencil. Now break it in 2. Do it again and it s obvious it gets harder to do it. Why is that? I thought of modeling the problems as a hinged beam with moments applied at both ends having opposite directions and same torque. So basically the length of the beam doesn't affect the moment...
  2. M

    Finite element method for frames/beams

    I actually managed to find the solution. Consider the hinged joint as fixed in terms of rotation since the rotational degree of freedom of that joint is not free anymore.
  3. M

    Finite element method for frames/beams

    I would like to know how to implement internal hinges in a program I'm developing. A hinge is created by changing the stiffness matrix of the beam. The problem is when two interconnected beams have a hinge at the same location, so basically we have a hinged joint, in this scenario I will obtain...
  4. M

    Different FEA results of the same element

    I did an example similar to the one above with less finite elements. Here are the displacement results for an example: The black rectangle was modeled with two triangular cst elements.
  5. M

    Different FEA results of the same element

    Hello. Consider the model shown below. The problem is to be solved by FEA. The plane element is constrained from moving at the red line. A concentrated load P is applied at the red point and pointing downward. We solve the problem using the following meshes. Same elements are being used and...
  6. M

    Structural Frame Analysis: Determining Shear and Bending Diagrams

    Homework Statement Hello. I've created a small program to find shear and bending diagrams of the members of a frame. I was able to get the reactions at the support but don't know how to continue from now. This is an example of a frame all columns are 3m in height and the beams 8m. All the beams...
  7. M

    Structural analysis of a concrete frame

    Hello. I have a project for next semester and I'm thinking of creating a program using mathematica to analyze a concrete frame to obtain the moment and shear diagram. What would you consider the best method for analysis. The loads will be uniformly distributed. Any tip will be greatly...
  8. M

    Reinforce concrete column under biaxial bending

    I've made a program with Mathematica that will compute the load along with the moments sustained by a concrete column given the stress block area and orientation(in other word the neutral axis center location and the angle it makes with the horizontal). However I am facing an issue with setting...
  9. M

    Neutral Axis Calculation for Concrete Columns Under Biaxial Bending

    Well I'm willing to make a program using Mathematica or a spreadsheet in excel in order to create the interaction curve of a column,so trial and error is no problem. Can you explain how shall I do it? Should I assume an initial N.A and then do the computations, and after that check if the...
  10. M

    Neutral Axis Calculation for Concrete Columns Under Biaxial Bending

    How can the neutral axis of a concrete column under biaxial bending be determined. I mean if the load P is given along with the eccentricities ex and ey, how could the N.A. location and orientation be computed? Thank you.
  11. M

    Which easier probabilty or differential equations?

    If anyone is interested I took both and I found that probability was easy, but differential equations are really hard, harder than all the calculus courses.
  12. M

    Allowable Deflection of a Cantilevered Beam

    Wait I think I got you wrong, you want to know the allowable deflection? You can find it in the construction codes like ACI.
  13. M

    Allowable Deflection of a Cantilevered Beam

    Well if the beam is supposed to act in an elastic way like steel you can easily use the double integration method. If it's made out of concrete it will be a bit more complicated. If you want further information just ask again and I will reply.
  14. M

    Can we visualize the parts of a quadratic equation as area and length?

    This is the only way I could explain it, I express myself better with a pen and a paper, it's a shame
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