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

Phycics, digram of michelson inteferometer

digram of michelson inteferometer

Determine the fatigue strength of medium carbon steel, Determine the fatigu...

Determine the fatigue strength of medium carbon steel: For determining the fatigue strength of medium carbon steel 15 specimens, identical in all respect were tested in cantil

General design requirements for steam generators, Q. General Design Require...

Q. General Design Requirements for Steam Generators? The Steam Generators shall be once-through type; with a parallel-pass arrangement, direct fired, and consist of a combustio

Relation between stress and strain, Relation between stress and strain: ...

Relation between stress and strain: The relation between stress and strain is generally shown by plotting a stress-strain (σ -e) diagram. Stress can be plotted on ordinate (ve

Determine the location of the hydraulic jumps - water depths, Problem: In H...

Problem: In HEC-RAS, model this system as 1 reach with cross-sections every 2 ft. For all 3 discharges (labeled as: design, low, flood), (a) Determine the water depths 10 ft fro

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