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

Mr, how is the theory of kinematics applied to secondary machining

how is the theory of kinematics applied to secondary machining

Define the nature of force in a member of truss, Define the nature of force...

Define the nature of force in a member of truss: How can you define the nature of force in a member of truss? Sol.: We know that whenever force is applied on a cross se

Can you explain pneumatic gauges, Q. Can you explain Pneumatic gauges? ...

Q. Can you explain Pneumatic gauges? Pneumatic gauges permit reading or recording water level at some distance from the river, say up to about 305 m. In a diaphragm type gauge,

Strength of material, Draw complete shear and moment diagrams for a 3...

Draw complete shear and moment diagrams for a 3 m long cantilever beam having a uniform distributed load of 2 kN/m along its length.

Thermal, diference between thermal and thermodynamic equallibrim

diference between thermal and thermodynamic equallibrim

Conjugate Cams:, I require design procedure of Conjugate Cams

I require design procedure of Conjugate Cams

Cost, why are future costs not always relevant?

why are future costs not always relevant?

Draw the gas welding system, Draw the Gas welding System and label its part...

Draw the Gas welding System and label its parts. Illustrate the several types of flames used in gas welding along with temperature range.

Non-ferrous materials, NON-FERROUS MATERIALS: Latest technology has be...

NON-FERROUS MATERIALS: Latest technology has been highly dependent on non-ferrous and alloys for in specific cases they represent the compensation of high strength and low wei

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