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

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

Air-gas cross-limiting and air-gas ratio control, Q. Air-Gas Cross-Limiting...

Q. Air-Gas Cross-Limiting and Air-Gas Ratio Control? The Steam Generator firing demand signal is directed to two discrete signal selectors. A low signal selector ensures that

Mechanics, Stress in thin rotation rims

Stress in thin rotation rims

Effect of individual alloying elements, Effect of Individual Alloying Eleme...

Effect of Individual Alloying Elements: Sulfur Sulfur is not a needed element in steel since in interferes along with hot rolling and forging resulting in hot-shortness

Develop-implement method to identify numerically equivalent, For example, i...

For example, if one were provided with the set [3 1 3 -4 -6], the resulting answers would be [3 1 -4], [3 1 -4], an [3 3 -6], as these are the three sets of three values which sum

Neutral layer and neutral axis, Neutra l Layer and Neutral Axis In the...

Neutra l Layer and Neutral Axis In the beam or cantilever, there is one layer which retains the original length of it even after bending. So in this layer tensile stress and c

Spring, what is the geometry of a leaf spring

what is the geometry of a leaf spring

Derive the stability condition of a four wheel vehicle, Derive the stabilit...

Derive the stability condition of a Four wheel Vehicle AND Two wheel Vehicle moving in a curved Path? Explain with working, measurement and construction of brake power by Rope b

Balancing, A shaft carries three pulleys A,B and C. the pulleys B and C bei...

A shaft carries three pulleys A,B and C. the pulleys B and C being 1.2m and 2.1m from A. the pulleys are out of balance to the extent of 0.03, 0.05 and 0.04kg.m respectively and ar

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