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

Computation for the magnitude, A horizontal line ABCD measuring 9m is acted...

A horizontal line ABCD measuring 9m is acted upon by forces of magnitude 400, 600, 400 and 200 N at points A, B, C, D respectively with downward direction. These point are so locat

Materials weldability, MATERIALS WELDABILITY Electron beam welding has ...

MATERIALS WELDABILITY Electron beam welding has the ability to weld a variety of materials including dissimilar combinations. These can be split into general categories as to t

Explosive welding i cladding, EXPLOSIVE WELDING I CLADDING In this pr...

EXPLOSIVE WELDING I CLADDING In this process, two pieces of metal are impacted together at an extremely high velocity of impact achieved by the detonation of an explosive cha

Concept of continuum - thermodynamics, Concept of continuum - thermodynamic...

Concept of continuum - thermodynamics: Sol: Even the simplification of matter into molecules, atoms, electrons, etc. is too complex a picture for many problems of thermodyna

Physics, show that the avogadro constant is the number of atoms in 0.072kg ...

show that the avogadro constant is the number of atoms in 0.072kg of carbon-12

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 are objectives of the footings, What are objectives of the footings? ...

What are objectives of the footings? Objectives of the footings: After studying this unit, you should be able to: a. Know different types of footings and the situation wh

Ionization of inert gases, inert gas is ionizing in tig and mig,plasma arc ...

inert gas is ionizing in tig and mig,plasma arc welding processe.but it is impossible to react with inert gas

What is conformance testing, What is Conformance Testing Conformance Te...

What is Conformance Testing Conformance Testing : There was no mechanism for testing processors or resolving errors between two processors.

Motion of two bodies - rough surface and smooth pulley, Motion of two bodie...

Motion of two bodies - rough surface and smooth pulley: THE HORIZONTAL SURFACE IS ROUGH AND THE STRING IS PASSING OVER SMOOTH PULLEY. Figure shows two weights W 1 and W 2

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