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

Determine reactions force, Determine reactions force: Thr e e spher...

Determine reactions force: Thr e e sphere A , B and C weighing 400N, and 200N and having radii 400mm,  600mm and 400mm respectively are placed in trench as shown in t

What are the functions of brake? , (a) What are the functions of brake? Wh...

(a) What are the functions of brake? What are the types of brakes? (b) How do brakes stop a moving vehicle? (c) What is the difference between brake and clutch? (d) Descri

Determines the effect of price reduction, Determines the effect of price re...

Determines the effect of price reduction: In order to enhance the sales, management of Quality ice-cream company decided to give discounts in the sale of one and half liter pa

Working principle of carburettor , Working Principle of Carburettor : All ...

Working Principle of Carburettor : All carburettors work on one basic principle, the venturi. A venturi is a very simple device that changes air pressure by changing the velocity

#thermodynamic, heat pump to estimate the COP acts as refrigerator experime...

heat pump to estimate the COP acts as refrigerator experiment abstract

Ultrasonic examination, Q. Ultrasonic Examination? Ultrasonic examinati...

Q. Ultrasonic Examination? Ultrasonic examination, UT and the acceptance criteria shall be in accordance with the Code and performed in accordance with written procedures. W

Strength of materials, The figure shows a particular point of the connectin...

The figure shows a particular point of the connecting rod BA and crank AO. At this position the rod the engine exacts a force 2500N on the crank oin at A. Resolve this force into h

Determine hydraulic efficiency, A pelton wheel works at the foot of a dam b...

A pelton wheel works at the foot of a dam because of which the head available at the nozzle is 400m. The nozzle diameter is 160mm and the coefficient of velocity is 0.98. The diame

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