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

Find out the effort required to run this machine, Find out the effort requi...

Find out the effort required to run this machine: The efficiency of a machine is 75% while an effort of 20 N is required to lift a load of 160 N. Compute the velocity ratio an

Dead centre -engine terminology , Dead Centre The position of the wor...

Dead Centre The position of the working piston and the moving parts which are mechanically connected to it, at the moment when the direction of the piston motion is reserved

Swing arm shock absorber , Swing Arm Shock Absorber :   This type of suspe...

Swing Arm Shock Absorber :   This type of suspension is used to serve for rear part of motorcycle. The advantage of this type of suspension is that large deflections are absorbed.

Lubrication system , Lubrication System: This is an arrangement that consi...

Lubrication System: This is an arrangement that consists of oil pump, oil sump, oil lines and lubricant. The lubricant is meant to lubricate the engine moving parts and it also cl

Generic cell control class architecture, Generic Cell Control Class Archite...

Generic Cell Control Class Architecture The initial step in designing the system is the development of classes. All classes are assigned responsibilities for specific tasks nee

Scrapper -tool and equipment , Scrapper: Scrappers are used to scrap gaske...

Scrapper: Scrappers are used to scrap gasket or other such materials from flat or irregular surface. Scrappers of several sizes are shown in Figure. Figure : Scrapper

Prototyping methods of advance manufacturing, The three prototyping method...

The three prototyping methods used are: a)  R a p i dPrototyping: This is used to model the pins (large 1, 2 and small), lock disk and crank. b)   CNCMachining: Use

Building a fermenter for a new product, The first stage of design assumes: ...

The first stage of design assumes: budget is approved, marketing research is complete, product can be made at a price below that which it can be sold, research and development is c

Thrust diagrams for the beam, Thrust diagrams for the beam: Illustrate...

Thrust diagrams for the beam: Illustrate the shear force, bending moment & thrust diagrams for the beam illustrated in Figure Figure Solution Vertical compo

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