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

CNC Machining, how to determine proper the depth of cut for the tool if the...

how to determine proper the depth of cut for the tool if the drill is made of HSS and the work piece is made of alluminume alloy?

What is gust response factor, Q. What is Gust Response Factor? For flex...

Q. What is Gust Response Factor? For flexible structures such as a tall vertical process vessel, a Gust Response Factor, Gf is another essential variable needed to determine th

Strength of material, What us the duff between direct stress and bending s...

What us the duff between direct stress and bending stress

Types of polymerisation, Types Of Polymerisation When some of bifunctio...

Types Of Polymerisation When some of bifunctional molecules connect in a chain structure, the reaction is termed as addition polymerisation.  However, these polymerizations do

Plate clutch pressure height-clutch slipping, Plate clutch pressure height ...

Plate clutch pressure height : Check plate clutch pressure leg height by placing the plate clutch pressure on the surface plate. Plate clutch pressure should not tilt on the surfa

Wind induced vibration of vertical vessels, Q. Wind Induced Vibration of Ve...

Q. Wind Induced Vibration of Vertical Vessels? Vertical vessels having a height-to-diameter ratio (h/D) (does not include insulation thickness but does include skirt height) gr

What do you mean by an inertial reference, (a) Comment on the require to id...

(a) Comment on the require to idealise a body as a particles, a rigid body or a continuum. (b) What do you mean by an inertial reference ? (c) Define quantitatively a force 1

English, what is law of gearing

what is law of gearing

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