Element stiffness matrices, Mechanical Engineering

Assignment Help:

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.


Related Discussions:- Element stiffness matrices

Fatigue crack propagation, Fatigue crack propagation: If it is assumed...

Fatigue crack propagation: If it is assumed that no plastic deformation occurs around crack tip and law of fatigue crack propagation for place of above Example is da/dN =  10

Arm of couple - mechanics, Arm of Couple: Explain couple and Arm of c...

Arm of Couple: Explain couple and Arm of couple? Sol.: If the two equal and opposite parallel forces (that is equal and unlike) are acting on a body, they do not have a

Tom, ‘coefficient of insensitiveness’ of governors

‘coefficient of insensitiveness’ of governors

Upward compatibilityof iges, Upward Compatibilityof IGES Upward Compati...

Upward Compatibilityof IGES Upward Compatibility : The need for generations of processors to parse files compliant with earlier versions of IGES thwarted the breadth and rate o

Thermodynamics, klfjaljf jlas jfklsj flasj; flkjs fklja sklfj ak;lsfj lkajs...

klfjaljf jlas jfklsj flasj; flkjs fklja sklfj ak;lsfj lkajsf; kljas fkl;ajsd flk;jads fklasjdfl kjkl fjdaskl fjdsklafj ksad ,ma,v. askjlvj kljdfiojajofj adjfkldsj fkljasdf lkjads;

Elements of cad, Human Factor : The human factor is the key factor in th...

Human Factor : The human factor is the key factor in the success of CAD system. This concerns the training of the designer or the engineer without whom the CAD system become

Determine the maximum permissible eccentricity of the load, Determine the m...

Determine the maximum permissible eccentricity of the load: A small hollow cylindrical column carries a compressive force of 400 kN. The external diameter of the column is 200

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd