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

Steam generator, what are the essentials of a good steam generator?

what are the essentials of a good steam generator?

Find out the forces in cantilevers frame, Find out the forces in cantilever...

Find out the forces in cantilevers frame: Find out the forces in the members of the cantilevers frame by the method of sections. Solution Let the equilibrium of the fr

Function generation by relative pole method, how mechanism can be synthesiz...

how mechanism can be synthesized using relative pole method?

DEVELOP A COMPUTER PROGRAM, Develop a computer program that can be used for...

Develop a computer program that can be used for internal flow analysis in SI units. The program should be able to: ? Get the required input data from the user ? Decide the flow ty

CAPP, Applications of capp

Applications of capp

Steps of inspection of electrical equipment, Inspection of Electrical Equip...

Inspection of Electrical Equipment STEPS All electrical equipment are checked for proper functioning. The starting and lighting of the motorcycle should be prope

Estimate the time require to cool the aluminum, A piece of Al weighing 6 kg...

A piece of Al weighing 6 kg and initially at a temperature of 300 O C is suddenly immersed in a fluid at a temperature of 20 O C. The convectice heat transfer coefficient is 58 W/m

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