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

Torsion lenght, Thin wall round tube has diameter of 60mm. The end of it wi...

Thin wall round tube has diameter of 60mm. The end of it will be compressed to square for. How many percents torsion strenght will become lower at the end tube?

Determine the velocity in a moving frame of reference, Determine the veloci...

Determine the velocity in a Moving Frame of Reference: As illustrated in Figure, a ship A moves with a velocity v A = 40 km/hour whereas ship B moves with a velocity of v B

What is the make group of euler operators, The Make Group of Euler Operator...

The Make Group of Euler Operators The Make group consists of four operators for adding some elements into the existing model creating a new one, and a Make-Kill operator for ad

Cam and followers work, how to do work in cam and follower?anser in hindi t...

how to do work in cam and follower?anser in hindi type

Material selection and process mapping, Material Selection and Process Mapp...

Material Selection and Process Mapping Selecting an optimal material from numerous candidates in one competitive aspect of manufacturing depends on factors such as properties,

Describe dry and wet parting materials, Q. Describe Dry and wet parting mat...

Q. Describe Dry and wet parting materials? Dry parting materials: These are applied by dusting. These include : charcoal, ground bone and limestone, lycopodium(a yellow veget

Cad - requirements for standard interface, Requirements for Standard Interf...

Requirements for Standard Interface  The interface must be capable of handling all kinds of manufacturing data. There should be no information loss when data is transf

Compressor, compressor’s volumetric efficiency can also depend on the compr...

compressor’s volumetric efficiency can also depend on the compressor’s ratio.

Elasticity, define prandtl''s stress function

define prandtl''s stress function

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