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
Explain with the aid of a sketch how a rotary vacuum (ROVAC) filter works. Derive describing equations to predict the ROVAC's filtration performance in terms of the effect of drum

Illustrate the assumptions made in Euler's theory. Determine the expression for crippling load for a long column when one end of the column is fixed and other end is hinged.

Determine the greatest load carried by the composite springs: A composite spring contain two close-coiled helical spring associated in series, each spring has 10 coils at a me

Find out the thickness of the metal and the hoop stress: The cylinder of a hydraulic press has an internal diameter of 0.3 m & is to be designed to withstand a pressure of 10

(a) What are the different types of clutches used in modern automobiles? With the help of neat and clean diagram describe the functioning of a diaphragmspring clutch. (b) Explai

Example of change of enthalpy: Q 0.5kg/s of a fluid flows in steady state process. The properties of fluid at the entrance are measured as p 1 = 1.4bar, density = 2.5k

Calculate the feed in Drilling Operation Calculate the feed in m/min if a drill makes 200 revolutions per minute and penetrates to a distance of 3 mm per revolution. Solut

Q. Explain about Burner Management System? The Vendor shall provide a stand alone Burner Management System that is NFPA approved. Provision shall be made for communication wit

Q. Explain about wire-frame model? A wire-frame model of an object is the simplest, but more verbose, geometric model that can be used to represent it mathematically in the com

(a) Show that all reversible engines operating between the same source and sink will have same efficiency. (b) A reversible heat engine operates between two reservoirs at temper