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

Relation between intensity bending moment and shear force, Relation between...

Relation between intensity bending moment and shear force: What is the relation between load intensity bending moment and shear force Consider the beam subjected to any t

Determine the parameter - larson-miller parameters, Determine the parameter...

Determine the parameter - Larson-Miller parameters: Larson-Miller parameters for an alloy at tests levels 10 MP a and 30 MP a are determined respectively as 18 × 10 4 and 1

Calculate values of ki - thick cylinder, Calculate values of KI - thick cyl...

Calculate values of KI - thick cylinder: If cracks of 6 mm and 12 mm length are separately present only one side of inner surface in radial direction find two values of KI.

Determine reactions at supports of loaded beam, Determine reactions at supp...

Determine reactions at supports of loaded beam: Determine reactions at supports A and B of loaded beam as shown in the figure given below.     Sol.: First co

Hydrostatic pressure - thermodynamics, Hydrostati c Pressure - Thermodynam...

Hydrostati c Pressure - Thermodynamics: It is also called as Pressure due to Depth of Fluid. It is needed to determine the pressure exerted by static fluid column on surface,

Hill roads - road under special conditions, Hill Roads: Alignment ...

Hill Roads: Alignment Selection and Geometric Design Standards Here, you have already learnt how an alignment of a hill road has to be selected. The selection of a g

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