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

Composite materials, Composite Materials While two various materials w...

Composite Materials While two various materials which neither react chemically nor dissolve in every other are combined together so they form a composite materials. Individual

Determine the need for insulation, Q. Determine the need for insulation? ...

Q. Determine the need for insulation? Equipment and piping shall be insulated as required for heat conservation, process heat control and personnel protection. The temperatu

Determine the excavation of soil, Determine the Excavation of soil Exc...

Determine the Excavation of soil Excavation of soil in open well foundations is done  by dredging with grab buckets or similar equipment. The volume of excavated soil always e

Scheduling, how to find out hte optimal sequence and determine the minimun ...

how to find out hte optimal sequence and determine the minimun total elapsed time associated with a given problem

Explain frequency reuse, Explain frequency reuse In the cellular conce...

Explain frequency reuse In the cellular concept, service area is separated into regions called cells and the available frequency is divided among these cells. Every cellular b

Determine the location of any zero crossings, Determine the Location of Any...

Determine the Location of Any Zero Crossings For the loaded as shown below a. Draw the V & M diagrams on the grid below. b. Determine the location of any zero crossings

Pin shift return spring-gear complaints, pin shift return spring : Check p...

pin shift return spring : Check pin shift return spring for proper torque.

Valves, What can a valve do?  It can prevent flow (on/off), allow variable ...

What can a valve do?  It can prevent flow (on/off), allow variable control of the flow and provide a safe working environment. What sort of questions should we be asking when selec

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