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

Hazardous and safe areas in plant layout, Q. Hazardous and Safe Areas in pl...

Q. Hazardous and Safe Areas in plant layout? Plants implicitly involve identifiable hazards in respect to the environment, location and presence of potentially explosive materi

PLC problems, 3. How to illustrate the meaning of control system in control...

3. How to illustrate the meaning of control system in control and automation system? 4. How to illustrate the major role of CPU in a PLC and what is the major role of CPU? 5. How

Determine the service and backwash rates, Service duty point: 3 m3/h Backw...

Service duty point: 3 m3/h Backwash duty point: 9 m3/h Part (a) What is the speed of the pump to achieve the service and backwash flow rates ? Part (b) What would be the best

Define the skid fabrication, Q. Define the skid fabrication? Unless not...

Q. Define the skid fabrication? Unless noted otherwise in this specification, skid fabrication shall be in accordance with GS-904-0510, GS-904-0511 and GS-904-0515. Dimensio

Michelson interferomete, how it is use to determine the wavelenth of He-Ne ...

how it is use to determine the wavelenth of He-Ne laser?

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

Explain the tool signature, Explain the Tool Signature The tool angles ...

Explain the Tool Signature The tool angles have been standardized by the American standards association. The seven important elements comprise the signature of the cutting tool

Reduce system to a single force and couple, Reduce system to a single force...

Reduce system to a single force and couple: Q: A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to  a single force

Feedwater controls for steam generator, Q. Feedwater Controls for Steam gen...

Q. Feedwater Controls for Steam generator? associated with that Steam Generator. The flow controllers utilize regular P.I.D. controllers, and their outputs are fed directly to

Grinding and brushing, Grinding & Brushing: Grinding is process there ...

Grinding & Brushing: Grinding is process there has an abrasive wheel that rotating at certain speed to smooth a surface or to give an even finish on material. In this Blade pr

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