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

Computer aided process planning, eXPLAIN THE GRAPHICAL IMPLEMENTATION OF TO...

eXPLAIN THE GRAPHICAL IMPLEMENTATION OF TOOL PATH GENERATION

Group technology, what are the limitations of group technology and life cyl...

what are the limitations of group technology and life cyle issues in group technology

Calculation of material removal rate, Calculation of Material Removal Rate ...

Calculation of Material Removal Rate MRR = (W i - W f ) × 1000/ 7.8 × T .......................................... (1) W i = Initial weight of work piece W f = Final w

Properties of aluminium alloys, Properties of Aluminium Alloys: Among...

Properties of Aluminium Alloys: Among the different properties of aluminium alloys given are notable as: (a) Low density as 2.7 gm/cc (b) Elevated electrical and therma

Plant layout optimization, How to do matlab coding for computerized relativ...

How to do matlab coding for computerized relative allocation of facilities technique

Tension in the string and acceleration of body, Tension in the string and a...

Tension in the string and acceleration of body: The two bodies weighing 300N and 450N are hung to two ends of the rope passing over an ideal pulley as shown in the figure giv

Spot welding equipment, What is Spot welding equipment? Spot welding ma...

What is Spot welding equipment? Spot welding machines may by classified as follows on the basis of mechanical Construction; 1. Rocker-arm Machines 2. Press-type machin

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