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

Explain rate pressure product, Q. Explain Rate Pressure Product? The sy...

Q. Explain Rate Pressure Product? The systolic blood pressure is multiplied by the heart rate to provide the double product or modified fusion time index. On presence of an obs

Determine resultant of four forces - mechanics, Determine resultant of four...

Determine resultant of four forces: D etermine resultant of four forces tangent to the circle of radius 3m shown in the figure given below.  What will be the location of it

Equipment for resistance welding-stored energy equipments, EQUIPMENT FOR RE...

EQUIPMENT FOR RESISTANCE WELDING-Stored energy equipments   Energy can be stored and further utilised for welding. One method of storing energy is in capacitors electrostat

Capp for casting and welding, CAPP for Casting and Welding In this , w...

CAPP for Casting and Welding In this , we have studied the CAPP systems for Casting and Welding processes. Compared to the traditional (manual) process planning methods, CAPP

Illustrate the general shear failure in bearing capacity, Illustrate the ge...

Illustrate the general shear failure in bearing capacity. General Shear Failure: In this case of failure, contiguous failure surfaces develop between the edges of the footin

Explain several materials used for cutting tools, What are the factors resp...

What are the factors responsible for the development of newer tool materials. Explain several materials used for cutting tools. List four kinds of tool wear.

Calculate the density of the composite, Five kilograms of continuous boron ...

Five kilograms of continuous boron fibers are introduced in a unidirectional orientation into 8 kg of an aluminum matrix. Calculate a.  the density of the composite b.

Governors, What do you mean by sensitivity in a governor?

What do you mean by sensitivity in a governor?

Material selection for de-oiling unit, • IGF Vessel SH: CS + 1.6 mm CA +...

• IGF Vessel SH: CS + 1.6 mm CA + Internal Coating Eductor: 304L SS or alternatively, 12Cr • ORF Vessel SH: CS + 1.6mm CA + Internal Coating Mixer: 316L SS • Skim Oil T

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