Element stiffness matrices, Mechanical Engineering

Use three frame elements to analyse the frame structure as depicted in the image below subjected to combined loadings: a) a concentred load applied  on Element 1  at  its  1/3 length close to point B; and b) a uniformly-distributed loading applied on Element 2. The two beams are of identical material properties and cross-section as well as the same height of 2 in. 

1443_element stiffness matrices.png

(a) Use hand calculation or MS Excel Spreadsheet to determine:

  • the element stiffness matrices for each element;
  • the element nodal displacement vector for each element;
  • the element nodal force vector for each element;
  • the assembled global stiffness matrices for whole model;
  • the global nodal displacement vector for whole model;
  • the global nodal force vector for whole model;
  • the boundary conditions in the system;
  • the condensed matrix equations for the unknown displacements when applying the above-mentioned boundary conditions;
  • the unknown displacements;
  • the reaction forces and moments; and
  • the maximum stress in each element.

(b) Run two static analyses of this problem by using ANSYS APDL  or SolidWorks Simulation with 1) the same FE model done in a) and 2) use a three-element model by splitting Element 1 into two appropriately. Compare these numerical results obtained with those from hand calculation or spreadsheet done in (a) and write a short FEA report to summarize your analyse on this problem.

Posted Date: 2/25/2013 3:05:35 AM | Location : United States







Related Discussions:- Element stiffness matrices, Assignment Help, Ask Question on Element stiffness matrices, Get Answer, Expert's Help, Element stiffness matrices Discussions

Write discussion on Element stiffness matrices
Your posts are moderated
Related Questions

Scalar and Vector quantities: A quantity is a scalar if it is completely defined by its magnitude alone. For example: Length, area, and time. While quantity is said to be vect

How can i change the normal function block parameter[1 1]=>(s+1) to (s-1)?

define elastomer.explain in details?


design a car to be build by balsa wood trusses, the car has to be with in a specific dimension, calculations of forces on members and nodes using method of joints need to be done a


Force system: Defin e Non concurrent force system. Why we find the position of Resultant in Non concurrent force system? Sol.: In Equilibrium of concurrent force syste

Q. What is polymers? The term "polymer" is derived from the two Greek words: poly, meaning "many", and meros meaning "parts" or "units". Thus polymers are composed of a large n

Problem:   The following machine component is loaded as shown.  It is fabricated from Al 6061-T6.   Determine the analytical solution to this problem and compare result