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

Hierarchical system structure, Ask question #Minimum 100 words awrite short...

Ask question #Minimum 100 words awrite short note on the the hierarchical system structure involving various level

Steps of inspection of electrical equipment, Inspection of Electrical Equip...

Inspection of Electrical Equipment STEPS All electrical equipment are checked for proper functioning. The starting and lighting of the motorcycle should be prope

What are the technical limitations of screw conveyer, What are the Technica...

What are the Technical Limitations of screw conveyer Technical Limitations: ? Turning limitation of this mechanism Actually the Maximum Turning of U-joint is 18° to 2

Maximum efficiency, A jet strikes tangentially a smooth curved vane moving ...

A jet strikes tangentially a smooth curved vane moving in the similar direction as the jet, and the jet gets reversed in the direction. Prove that the maximum efficiency is slightl

Duty cycle, Duty cycle The concept of duty cycle is to be clearly under...

Duty cycle The concept of duty cycle is to be clearly understood before operating any machine. Unlike the arc welding power sources, the resistance welding power sources are de

Schedule evaluation, Schedule Evaluation Each continuations of a partia...

Schedule Evaluation Each continuations of a partial schedule that are produced in step 1 are ranked as per to their respective cost function. This cost function might be dissim

Compression ignition engines - thermodynamics, Compressio n Ignition Engin...

Compressio n Ignition Engines (or C.I. Engine): It works on the basis of dieses cycle. In diesel engines, energy addition occurs at constant pressure but energy rejection at

Acceleration of the two blocks, In the drawing, the weight of the block on ...

In the drawing, the weight of the block on the table is 380 N and that of the hanging block is 215 N. Ignore all frictional effects, and assuming the pulley to be massless.

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