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

Feeler gauge-measuring tools , Feeler Gauge: It is used to measure minor c...

Feeler Gauge: It is used to measure minor clearances. Feeler gauges come in set of a few blades of different thickness as shown in Figure. It is used to measure the spark plug gap

Equipment for resistance welding, EQUIPMENT FOR RESISTANCE WELDING The ...

EQUIPMENT FOR RESISTANCE WELDING The equipment for resistance welding is different from that for arc welding for the following reasons: Resistance welding machines are complica

What are combined footings, What are combined footings? COMBINED FOOTIN...

What are combined footings? COMBINED FOOTINGS: When a footing supports two or more columns in the same line, it is called a combined footing. The combined footing which supp

Cost of processing the payroll, The processing of payroll for the 10,000 wo...

The processing of payroll for the 10,000 workers in a large rm can either be done using 1 hour of computer time (signed by K) and no clerks or with 10 hours of clerical time (sign

GOVERNOR, IN CASE OF WILSON HARTNELL GOVERNOR THERE TWO MAIN SPRINGS AND TH...

IN CASE OF WILSON HARTNELL GOVERNOR THERE TWO MAIN SPRINGS AND THERE ARE ONE AUXILIARY SPRING. AND NATURE OF SPRINGS ARE TENSION ALWAYS HOW IT CAN POSSIBLE? WHEN SLEEVE WILL MOVE D

Roller spot welding, Roller Spot Welding In this process, a series of ...

Roller Spot Welding In this process, a series of intermittent spot welds are made using wheels or rollers as electrodes. The rollers are power driven and are stopped while ind

Explain the process for solve screw conveyer problem, Process for solve scr...

Process for solve screw conveyer problem For fully automatic extension of screw conveyer according to screed width we have to go for some design changes, At the end of main

Short circuiting transfer, Short Circuiting Transfer The short circuiti...

Short Circuiting Transfer The short circuiting transfer  occurs when the welding current and the arc voltage is low. Metal is transferred from the electrode to the work only wh

Advantages of using cam, 1. Greater Design Freedom : Any changes that are ...

1. Greater Design Freedom : Any changes that are required in design can be incorporated at any design stage without worrying about any delays since there would hardly be any i

Write down the uses of vernier caliper and steel rule tools, Write down the...

Write down the uses of following tools and make neat sketches of the same : (a) Vernier Caliper (b) Steel Rule

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