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

Split queue rules-priority rules-conventional priority rules, Split Queue R...

Split Queue Rules SPT*   Two queues prioritized as per to SPT. The operations for that t sj - u is negative form a high priority queue that is processed first. The order insid

Does the selected system meet the requirements, Does the selected system me...

Does the selected system meet the requirements of the application (building purging, make-up air, filtration, ventilation)? Is the system suitable for the intended building usag

What is the mean of off time, Q.What is the mean of Off time? It is the...

Q.What is the mean of Off time? It is the interval from the end of the hold time to the beginning of the squeeze time for the next (resistance) welding cycle. In automatic m

Define the project scope, Q. Define the project scope? The Design Basis...

Q. Define the project scope? The Design Basis Memorandum defines the project scope. This includes basic design concepts and the basis and philosophies upon which the project s

Resultant of non-coplanar force system, Resultant of Non-coplanar Force Sys...

Resultant of Non-coplanar Force System: The resultant of a system of coplanar forces can be attained by adding up two forces through law of parallelogram at a time and after t

Kinematics and dynamics of Machines, Please help me with this question if y...

Please help me with this question if you are 100 % sure that you will assure me a perfect grade. Please let me know as soon as possible. I need the solution within 18 hours from no

Current-fundamentals of electricity , Fundamentals of Electricity Cu...

Fundamentals of Electricity Current: The flow rate of charge or electrons with respect to time is known as current. It is measured in ampere (A).

Analysis of trusses, State the assumptions in pin joined trusses?

State the assumptions in pin joined trusses?

Separator-battery components , Separator:   Separator works as insulator b...

Separator:   Separator works as insulator between positive and negative plates. These separators are placed between each pair of plates.

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