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

Battery charger-electrical instruments , Battery Charger: As suggested by ...

Battery Charger: As suggested by the name, it is used to charge a battery. The detailed procedure for charging a battery is given in later units. List the uses of following too

Hot working of metals, advantages and disadvantages of hot working of metal...

advantages and disadvantages of hot working of metals

Define the adjustable auger mechanisms, Define the Adjustable auger mechani...

Define the Adjustable auger mechanisms They improved mounting arrangement for the auger and auger drive mechanism of a floating screed type asphalt paver. And they provide actu

Purpose of corrosion assessment design, Q. Purpose of Corrosion assessment ...

Q. Purpose of Corrosion assessment design? The purpose of this design guide is to ensure that Material Selection for Steam Assisted Gravity Drainage (SAGD) projects is carried

Basic concept of repairing of motorcycle , Basic Concept: Proper care and ...

Basic Concept: Proper care and maintenance are essential for trouble free operation and optimum performance of the motorcycle. A quality repair ensures that excess wear and tear i

Calculate the machining time and the material removal rate, Calculate the M...

Calculate the Machining Time and the Material Removal Rate A through hole of 40 mm diameter and 50 mm depth is to be drilled in a mild steel component. The cutting speed can b

Determine the minimum required wire diameter, A large tower is to be suppor...

A large tower is to be supported by a series of steel wires; it is estimated that the load on each wire will be 13,300 N (3000 lb f ). Determine the minimum required wire diameter,

Define 3-d lathe tool dynamometer, Define 3-D lathe Tool Dynamometer It...

Define 3-D lathe Tool Dynamometer It is possible to measure three dimensional cutting tool component with the help of 3-D lathe tool dynamometer. In spite of that we are gone f

Stockholm conference, define environment and explain stockholm conference

define environment and explain stockholm conference

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