Calculate Nodal Displacements using Local and Global Stiffness Matrix EXAMPLE (Part 1 of 2)

In this video I use the local stiffness matrices of each member to find the global stiffness matrix then the nodal displacements. ITS SIMPLE!!
STEP 1
Label all the nodal displacements with the appropriate annotation in order.
STEP 2
Write out the local stiffness matrix formula
STEP 3
Evaluate the sin and cosine of the given angles at each node and start constructing the associated local stiffness matrix
STEP 4
Depending on how many members you have, construct the global stiffness matrix by adding the corresponding components that "overlap" with each local stiffness matrix into the global stiffness matrix.
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[@tugkaneren1722]

Thanks for the video, very well explanation

[@daniel90340]

Thanks for the video big papi

[@oosconzult.8639]

thanks for this vid bro...

[@blaketabian512]

no problemo. Thanks for the support!

[@robertv4076]

Almost every source I find uses some kind of shortcut for each problem. The problem is that shortcuts the understanding of how the process actually works for a normal arbitrary problem.

[@adamdejong7535]

Awesome vid bra

[@paulowiredu7586]

pls I dont understand. Do u please have a full lecture on this topic

[@andanilibago957]

From which textbook is this example from?

[@metaxaaron]

How do you decide which node you're "standing at" when labeling the rows/columns of the element matrices?

[@loganmitchell]

This

[@shashankshekhar2091]

You haven't consider EA/L value while adding stiffness matrix of individual member into final 8*8 matrix

[@dereksawle]

Shashank, are you suggesting that the deflection Blake has calculated is wrong?

[@50LOT1]

how to find the reflection of U0 and V0 ?

[@ziaulhasan6720]

Which book do i follow for finite element analysis abd stiffness matrix

[@veshm8364]

Asslam kassimali stiffness matrix methods

[@noursafaa]

Thank youu

[@raniaazhari6398]

the angels are given or not ?

[@blaketabian512]

RaNia Azhari Angels are all make believe. They belong in churches and in the heavens above

[@yadvindersingh4410]

how angles are calculated ....are they given ?

[@antoineleblanc2509]

yes, they are or sometimes we are given dimension (height and length) and we can calculate angle with basic trigonometry