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

#boiler.., what is the essentials of a good boiler?

what is the essentials of a good boiler?

Business Management techniques, how do I Create appropriate costing systems...

how do I Create appropriate costing systems and techniques for specific engineering business functions.

Governor, sensitivity of governors

sensitivity of governors

What do you mean by newtons rings, When a Plano-convex lens of large radius...

When a Plano-convex lens of large radius of curvature is placed on a glass plate with its convex surface, a thin air film of gradually increasing thickness is formed between the up

Cooling system, Cooling System: A cooling system is designed to remove a p...

Cooling System: A cooling system is designed to remove a part of heat generated inside the cylinder that may be harmful to engine parts. The heat is produced in the engine cylinde

Problems on structural design of combined footings, Problems on Structural ...

Problems on Structural Design of Combined Footings a. Two columns 50 cm x 50 cm in size support service loads of 1200kN and 800kN.The centre to centre spacing between columns

Determine elongation of bar, Determine elongation of bar: A conical b...

Determine elongation of bar: A conical bar tapers uniformly from diameter of 4 cm to 1.5 cm in length of 40 cm. If axial force of 80 kN is applied at each end, determine elon

Organisation set-up - construction of railway line, Organisation set-up: ...

Organisation set-up: The civil engineering department of the Railways is responsible for the maintenance of railway lines. The maintenance organisation consists of Chief Engi

Electric discharge phenomenon, ELECTRIC DISCHARGE PHENOMENON The flow of ...

ELECTRIC DISCHARGE PHENOMENON The flow of electricity through metallic solids, or through liquid metals is called Conduction. The electricity  flow through ionic solutions

Define sweep pattern, Sweep pattern It is used to sweep the complete ca...

Sweep pattern It is used to sweep the complete casting by means of a plane sweep. These are used for generating large shapes which are axis-symmetrical or prismatic in nature s

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