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

Calculate the power angle, Question: A 3-phase, 15 kV, 4-pole, cylindri...

Question: A 3-phase, 15 kV, 4-pole, cylindrical rotor synchronous generator is connected to infinite bus running at 50 Hz. The synchronous reactance of the machine is X s = 0.

Evaluate boiler efficiency, The following data were obtained in a boiler tr...

The following data were obtained in a boiler trail: Mass and temperature of feed water: 680 kg/hr and 20 0 C, Steam temperature and its pressure : 15bar and 300 0 C, Coal used

Torsion equation for solid circular shaft, Prove the torsion equation T/J=τ...

Prove the torsion equation T/J=τ/R=C. θ/L for the solid circular shaft. State the various assumptions used on above said equation.

Synthesize a mechanism to prepare a function, Synthesize a mechanism to pre...

Synthesize a mechanism to prepare a function y = log x for 1≤ x ≤ 2 where three precision points are needed, for these precision points Calculate φ 2 , φ 3 and ψ 2 , ψ 3 ; if Δφ

Equilibrium conditions - non concurrent force system, Equilibrium condition...

Equilibrium conditions: What are equilibrium conditions for non concurrent force system? Sol.: For the Equilibrium of non concurrent forces there are three conditions:

Forces working on dam, Forces working on dam: Let a dam retaining wate...

Forces working on dam: Let a dam retaining water as illustrated in Figure (a). What are the forces working on it? Solution The forces working on dam are as follows:

Find out ratio of upper end area to lower end area of bar, Find out ratio o...

Find out ratio of  upper end area to lower end area  of bar of uniform strength Sol : The figure given to us shows a bar subjected to external tensile load P. If bar had be

Find out the wave retarders in tandem, Wave Retarders in Tandem Write th...

Wave Retarders in Tandem Write the Jones matrices for the following retarders: (a) A π/2 wave retarder with the fast axis along the x direction. (b) A π wave retarder with

What are the elements of theory of vibrations, What are the Elements of The...

What are the Elements of Theory of Vibrations All bodies possessing mass and elasticity can vibrate or undergo vibratory motion. Let us understand a few basic definitions used

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