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

Valves, What can a valve do?  It can prevent flow (on/off), allow variable ...

What can a valve do?  It can prevent flow (on/off), allow variable control of the flow and provide a safe working environment. What sort of questions should we be asking when selec

Kinematics and Dynamics of Machinery, I have Four (4) questions related to ...

I have Four (4) questions related to Kinematics and Dynamics of Machinery . I need them exactly after 30 hours. Thanks and please do let me know.

What is mock-up testing, Q. What is Mock-up Testing? Tube to all tubesh...

Q. What is Mock-up Testing? Tube to all tubesheet weld tests shall be provided as described below. Mock-up of 10 tubes about 305 mm (12") long are welded to a portion of a t

Actual vapour compression cycle, diffrence between actual and idealactual v...

diffrence between actual and idealactual vapour compression cycle

Process planning, what is importance of process planning?

what is importance of process planning?

Explain the advantages of rack cutter, Explain the Advantages of Rack Cutte...

Explain the Advantages of Rack Cutter? a. A single cutter of any specific pitch can cut gears of any number of teeth having similar pitch. b. The tooth profile produced is m

Steady flow energy equation, (a) Derive the mathematical expression for Ste...

(a) Derive the mathematical expression for Steady Flow Energy Equation. State the assumption made before the derivation. (b) The internal energy of a certain substance is provid

Types of couple - mechanics, Types of couple: Explain about different...

Types of couple: Explain about different types of couple?  Sol.: There are mainly two types of couples: 1 . Clockwise Couple   A couple whose tendency

Control of the guide vanes, Control of the guide vanes shall be by means of...

Control of the guide vanes shall be by means of an external linkage connected to the internal control ring Steam Generator piping. Inlet guide vanes shall be furnished with the

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