A couple points:
- Could you show your work for your manual calculations and the answer you get?
- Are you doing your manual calculations with beam theory? If so, Euler–Bernoulli or Timoshenko beam theory? Are there any assumptions associated with either theory?
- If there are assumptions associated with either of the above theories, are any of them violated by this problem?
- Does your finite element results violate any assumptions used in you finite element model? Are your displacements "small"?
1. I don't see the fillets called out in the problem definition in your model.
2. Is the load just on the edge of the I-beam or considered to be on the face acting in the downward direction? The instructions say one thing and your pic shows something else.
3. Your manual calculations can be found in "Machinery's Handbook" or "Roark's Formulas for Stress & Strain". Either should be available in your college library (if not, complain loudly.)
4. Draw out your FBDs for each of your calculations.
How much difference is there between the values?
Thank you for taking time out to help us with our Application Report. I'm also working alongside Muhammad and stuck on the same parts as he is. Just to mention, the dimensions of my T-bar model dimensions were slightly varied to his as follows:
I beam width: 45mm
I beam depth: 90mm
Tube Outer Diameter: 60mm
Tube Inner Diameter: 50mm
The final total deflection I found was approximately 2.60mm, yet when compared with the simulation, the y-displacement value was found to be 3.60 mm (the blue shade).
Could you help us with question 5 as we think our mistake was made somewhere there?
- In #4, do you really have a simply-supported beam? What are the end conditions of simply-supported? What do you have?
- Re-examine angular rotation calculation. Given that the equation you used assumes a linear variation in the angular rotation along the length of the beam, are the values that you used correct? Think symmetry here....