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

Concurrent force system - mechanics, Concurrent force system: It state...

Concurrent force system: It state that if force acting at a point on a rigid body, it can be considered to act at any other point on its line of action, given this point is ri

Explain the methodology of hydrostatic sensor pavers machine, Normal 0 ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4 Explain the Methodol

Torsional equation , Torsional equation: Derive the Torsional equatio...

Torsional equation: Derive the Torsional equation T / J = Π  /R = Gθ / L Or Derive an expression for the shear stress in shaft subjected to a torque. Sol.

Throttle free play adjustment of motor cycle, Throttle Free Play Adjustmen:...

Throttle Free Play Adjustmen: A smooth operation of the throttle ensures proper acceleration of the vehicle according to the requirement of the rider. If the throttle cable is kin

Feathering system, what is feathering system in turbo prop type aircraft

what is feathering system in turbo prop type aircraft

What is the basic working principle of capacitive transducer, Answer any fi...

Answer any five questions. a) Describe calibration and state its types. b) Which are the kinds of test signals? c) What is the basic working principle of piezo-electric tr

Zenner diode fundamentals of electricity , Zenner Diode: Zenner diode is ...

Zenner Diode: Zenner diode is generally used as a voltage regulator. When voltage falls below the predetermined value, zenner diode functions in the same way as an ordinary diode

Stress distribution in beams, Stress Distribution in Beams: 1. learn t...

Stress Distribution in Beams: 1. learn the section modulus of beams of several cross section. 2. found the normal force for partial beam section & its moment around the neu

Design a transition diagram, 1. Given the following grammar S à 0A0 | 1B1 |...

1. Given the following grammar S à 0A0 | 1B1 | BB; A à C; B à S | A; C à S | ε, (a) ( Derivation ) Given a left-most and right-most derivation of a string 01001110 (b) ( Parse tree

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