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

[email protected], how i can know moulair plant calculation?

how i can know moulair plant calculation?

Explain about ducts and flues in steam generators, Q. Explain about Ducts a...

Q. Explain about Ducts and Flues in steam generators? All air ducts and gas flues connecting the forced draft fan, fan intake silencer, preheater, and transition piece at the g

Thermodynamics, show that work is a path function and not a point funtion ?...

show that work is a path function and not a point funtion ?

Intrepretation of defects, INTREPRETATION OF DEFECTS Intrepretat...

INTREPRETATION OF DEFECTS Intrepretation is an important factor is controlling the quality of the product on economic levels. Sometimes for want of proper decision, proj

Calculate strength coefficient - true stress and true strain, Calculate str...

Calculate strength coefficient: A copper specimen of 64 mm gauge length and 12.80 mm dia. was tested in tension. Following two diameters were recorded in the plastic range of

What is product definition data interface, Product Definition Data Interfa...

Product Definition Data Interface (PDDI) IGES provided a very practical first solution for CAD data exchange, complete with an exchange file format. It was remarkable in the sp

What are the objectives of the earth pressure, What are the objectives of t...

What are the objectives of the earth pressure and retaining structures? After knowing all concepts about the same you should be able to learn: a. Know the field situations w

What is wire-frame, What is Wire-frame Wire-frame models use the simpl...

What is Wire-frame Wire-frame models use the simplest data structures and they are ambiguous. Wire frame is a well-known example that consists of 16 vertices and 32 edges. We

Explain the effect of cutting speed, Explain the Effect of Cutting Speed ...

Explain the Effect of Cutting Speed Increase in cutting speed improves the surface finish due to the continuous reduction in built up edge. The curve a represents the machining

What are the advantages of powder metallurgy, Power metallurgy is much fast...

Power metallurgy is much faster production whereas holding closer sizes.

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