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

Characterised punching shear failure in bearing capacity, How can punching ...

How can punching shear failure are characterised in bearing capacity? Punching Shear Failure This mode of failure is characterised by large deformations beneath the footing

Maximal conductances and reversal potentials, By introducing their model of...

By introducing their model of neural excitability in 1952, Alan Lloyd Hodgkin and Andrew Huxley not only shed light on the mechanism underlying a very important phenomenon in Physi

Clutch cable routing-Clutch Complaint, Clutch cable routing : Ensure that ...

Clutch cable routing : Ensure that the cable is routed as per standard routing, through the brackets provided.

Vectors, Following sets of the three forces act on a body,. In which case r...

Following sets of the three forces act on a body,. In which case resultant cannot be zero? 1) 10N, 10N, 10N 2)10N, 10N, 20N 3)10N, 20N, 20N 4010N, 20N, 40N Ans)      In 4th

Explain the creation phase of paver machine, Creation phase of Paver machin...

Creation phase of Paver machine: Objective: "To generate alternative methods for providing the function, through creative thinking, brainstorming and even speculation."

Rankine cycle, A cycle stream power plant is to be designed for stream temp...

A cycle stream power plant is to be designed for stream temperature and turbine 350

What is the importance of safety at workshop?, (a) What is the importance o...

(a) What is the importance of safety at workshop? (b) What problems may arise, if we do not take safety precautions in the workshop?

Surging, what is surging in turbo machines subject

what is surging in turbo machines subject

Calculate the outer diameter of hollow shaft, A solid shaft of diameter d i...

A solid shaft of diameter d is taken in power transmission. Because of modification of existing transmission system, it is needed to replace the solid shaft by a hollow shaft of th

Gasket installation in module site installation, Q. Gasket Installation in ...

Q. Gasket Installation in Module site installation? Gasket will be installed after modules are set. Normally RTJ flanges require mating flanges to be spread with jacks and then

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