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

What are the rules important when designing castings, What are the rules wh...

What are the rules which must be kept in mind when designing castings? Some of the points which should be kept in mind during the process of cast designing are as follows: >

Describe cutting ratio - shear plane and shear angle, a) Define various typ...

a) Define various types of chips and factors responsible for their formation with diagram b) Describe cutting ratio, shear plane and shear angle. c) Sketch Merchant circle di

Calculate the suitable diameter for a solid shaft, A shaft is hinghed by tw...

A shaft is hinghed by two bearings placed 1.0 m apart. A 600mm diameter pulley is mounted at a distance of 300 mm to the right of left hand bearing and this operates a pulley direc

Cobalt-base super alloys, Cobalt-base super alloys (e.g. UNS R30155 (Grade ...

Cobalt-base super alloys (e.g. UNS R30155 (Grade 661) and R30816 (Grade 671)) have superior strength to the nickel base alloys above 1800°F (980°C). The refractory metal alloys

Carnot theorem and efficiency - thermodynamics, Carno t Theorem: No h...

Carno t Theorem: No heat engine operating in cycle between the two given thermal reservoir, having fixed temperature can be more efficient than reversible engine operating be

Simply supported beam - bending moment, Simply supported beam -  Bending M...

Simply supported beam -  Bending Moment: Sketch the SFD and BMD for a simply supported beam of 15 m span loaded as illustrated in Figure Figure Solution Tak

Steam power plant , Steam power plant: Steam power plant converts heat...

Steam power plant: Steam power plant converts heat energy Q from combustion of fuel into mechanical work W of shaft rotation which is used to generate electricity. This ty

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