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
Find length of belt: Find length of belt which is required to drive a pulley of 500mm diameter running parallel at the distance of 12m from driving pulley of diameter 1600m.

Derive 3-D non-steady state conduction equation in spherical co-ordinates. Explain the assumption involved. The hot combustion gases of a furnance are divided from the ambient a

Material S48C thickness 4mm pierce hole daimeter 4 mm can do or not? please advise


Caisson foundations Caisson foundations are similar to wells, but are much large in size. They are of different types, closed end, open ended and of pneumatic type. Figure show

Deformation Processes In these processes, the material is plastically deformed (hot or cold) under the action of an external force, to produce the required shape. No material i

Specification s of Hardness Testing Machines and Indentors: The Brinel cum Rockwell Tester has specifications which are stated below: Ability to determine the hardness up t

give me an example of law of superposition

#what is the ratio between thirst pr. and discharge pr.? ..