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

Minimum no of teeth on the pinion inorder to avoid interfer, determine the ...

determine the minimum no of teeth required on pinion in order to avoid interference which is to gear with 1 a wheel to give a gear ratio of 3 to 1 solution in detail

#clutches, #constructional features and working of Multiplate Dry Clutch

#constructional features and working of Multiplate Dry Clutch

Show the tensile properties of material, Q. Show the tensile properties of ...

Q. Show the tensile properties of material? Tensile properties indicate how the material will react to forces being applied in tension. A tensile test is a fundamental mechanic

Design a remote control transmitter, You are required, as part of a small t...

You are required, as part of a small team, to design a remote controlled buggy that can be made to move forwards, backwards and from side to side. The basic buggy and motors are pr

Find a relationship chart , A manufacturing facility consists of five depar...

A manufacturing facility consists of five departments, 1, 2, 3, 4 and 5. It produces four components having the manufacturing product routings and production volumes indicated in t

Cell covers--battery components , Cell Covers: Each cell is covered from ...

Cell Covers: Each cell is covered from the top of the cell covers and the terminals projected from the cell covers. The terminals are arranged alternatively in a line.

Stresses., temparature stresses in composite bars

temparature stresses in composite bars

Illustrate cetane and octane rating of the fuels, (a) Illustrate cetane and...

(a) Illustrate cetane and octane rating of the fuels (b) Compare two adn four stroke cycle engines.

What are the advantages of powder metallurgy, Power metallurgy is much fast...

Power metallurgy is much faster production whereas holding closer sizes.

Illustrate the several kinds of chips, (a) Illustrate the several kinds of ...

(a) Illustrate the several kinds of chips formed during metal cutting with neat diagrams. (b) Why is Titanium Nitride a valuable tool coating? (c) Give the differences betwee

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