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

Stresses and strains, The round tensile specimen given  below has a diamete...

The round tensile specimen given  below has a diameter of 0.5 in. A load, F, is applied and the deflection, g , is calculated. Given the following                    d = 0.5 in

Assumptions in analysis of simple truss, Assumptions in analysis of simple ...

Assumptions in analysis of simple truss: What are assumptions made in analysis of simple truss? Sol.: The assumptions made in finding out forces in the frame are, (1)

Explain interference between two mating gears, What do you understand by in...

What do you understand by interference between two mating gears ? if interference between two involutes gears is to be avoided then show that the maximum length of arc of contact w

Evaluate elongation of wire, Evaluate Elongation of wire: An aerial c...

Evaluate Elongation of wire: An aerial copper wire ( E =1 x 10 5 N/m m 2 ) 40 m long is having cross sectional area of 80 mm 2 and weighs 0.6 N per meter run. I

Vernier caliper--measuring tools , Vernier Calipers: It is used to measure...

Vernier Calipers: It is used to measure internal as well as outer diameters of an object. There are separate jaws available for inside and outside diameter measurements. It can al

Shells, SHELLS: In the topic (SHELLS) , we have seen the assumptions ...

SHELLS: In the topic (SHELLS) , we have seen the assumptions made in the analysis of thin shells. For a spherical shell, which is symmetrical in all of the directions, the ho

Explain welding process, Welding Process: There are many definition of a we...

Welding Process: There are many definition of a welding process. But the most comprehensive definition is below. Welding is defined as a "a localized coalescence of metals, wher

Determine reactions at supports, Determine reactions at supports: Det...

Determine reactions at supports: Determine reactions at supports of supported beam of 6m span carrying increasing load of 1500N/m to 4500N/m from one end to another end.

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