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

Flux shielded arc welding, FLUX SHIELDED ARC WELDING This process is p...

FLUX SHIELDED ARC WELDING This process is popularly known as Submerged Arc Welding (SAW).This is a fully mechanised welding process. The electrode is a continuous metallic sol

Thermodynamics, discus the method to finding the width of impeller blades i...

discus the method to finding the width of impeller blades in a rotary air compressor

Find out the number of revolution, Find out the number of revolution: ...

Find out the number of revolution: A flywheel of mass 20 kg and radius 100 mm is made to rotate at 600 RPM. Determine the KE of the flywheel. If the frictional couple at its b

Types of coated electrodes-cellulosic electrodes, Cellulosic Electrodes I...

Cellulosic Electrodes In the AWS E 6010 and E 6011 series of electrodes, the protective covering is composed of cellulose (C6H10O5) and silicate binders. The cellulose decomposes

Stress analysis, what is the importance of stress analysis in steels

what is the importance of stress analysis in steels

The force of friction, During paddling of a bicycle,the force of friction e...

During paddling of a bicycle,the force of friction exerted by the ground on the two wheels is? Ans) Since the rear wheel rotates by itself (we only paddle to rotate the fron wheel

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