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

Calculate thermal efficiency and compression, Calculate thermal efficiency ...

Calculate thermal efficiency and compression: Q: Calculate thermal efficiency and compression ratio for automobile working on otto cycle. If energy generated per cycle is t

Cold pierce, Material S48C thickness 4mm pierce hole daimeter 4 mm can do o...

Material S48C thickness 4mm pierce hole daimeter 4 mm can do or not? please advise

Battery discharges frequently motorcycle problem, If Battery Discharges Fre...

If Battery Discharges Frequently Causes of Problem Remedy Electrolyte specific gravity NG Charging not done fully

Engine oil level and viscosity, Engine oil level and viscosity : Ensure th...

Engine oil level and viscosity : Ensure that the engine oil level is maintained till the upper mark on the gauge oil level. Check engine oil viscosity. Oil should not be abnormall

Concept of temperature - thermodynamics, Concep t of Temperature: The...

Concep t of Temperature: The temperature is thermal state of body which describes the degree of hotness or coldness of body. If the two bodies are brought in contact, heat wi

Determine coefficient of friction, Following data is provided for a 360 o ...

Following data is provided for a 360 o hydrodynamic bearing : Radial load = 3.2 kN journal Speed =1490 rpm journal diameter = 50 mm bearing length = 50 mm radial cl

Design requirements, A steel member supported by a tie bar has a load of 15...

A steel member supported by a tie bar has a load of 15 000 lbs on it. If the force on the steel member of 1.2 in 2 cross section is 14,180 lbs and the force on the tie bar of diam

Green chemistry, what is green chemistry with diagram

what is green chemistry with diagram

Relation between intensity bending moment and shear force, Relation between...

Relation between intensity bending moment and shear force: What is the relation between load intensity bending moment and shear force Consider the beam subjected to any t

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