Structural Analysis:: Difference between revisions

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This topic was developed as the [http://stempedia.com/ Stempedia] project in 2020.  It is being converted to Engineer-it
== Statics:==
== Statics:==


===Analysis of pin-jointed frames===
===<big>Analysis of pin-jointed frames</big>===
 
==== <big>Key examples</big> ====
A 'key example' shows the calculations with detailed explanations
 
===== Axial loading =====
Nodal analysis of a frame  [http://stempedia.com/wp-content/uploads/Nodal-analysis.pdf text]  [https://www.youtube.com/watch?v=-n4nG0L4gxI&feature=youtu.be video]
 
[http://stempedia.com/wp-content/uploads/Axial-effects.pdf Axial force, stress and deformation of a door post]
 
===== Equilibrium =====
[http://stempedia.com/wp-content/uploads/Equilibrium-see-saw.pdf Moment equilibrium of a see-saw]
 
[http://stempedia.com/wp-content/uploads/Equilibrium-lintel-beam.pdf Vertical, horizontal and moment equilibrium for a beam]
 
[http://stempedia.com/wp-content/uploads/Equilibrium-angled-loads.pdf Equilibrium with loads at an angle on a beam]
 
[http://stempedia.com/wp-content/uploads/Uniform-loads.pdf Equilbrium with Uniformly Distributed Load (UDL)]
 
==== <big>Explanations</big> ====


====Key examples ====
===== General =====
{| class="wikitable"
|+
Key examples
!Topic
!File
!Title
|-
| |Analysis of axial loads
| style="width: 30%" |[https://wiki.mache.uk/images/c/c6/Nodal-analysis.pdf Nodal Analysis]
*[https://wiki.mache.uk/images/0/06/Equilibrium-axis-change.pdf Equilibrium Axis Change]
*[https://www.youtube.com/watch?v=-n4nG0L4gxI&feature=youtu.be Nodal Analysis (Video)]
|Axial forces in a frame using Nodal Analysis


*Changing the axes at a joint in nodal analysis
* [http://stempedia.com/wp-content/uploads/Free-body-diagrams.pdf Free body diagrams]  
*Video of nodal analysis process
* [http://stempedia.com/wp-content/uploads/Models-engineering-and-analysis.pdf Engineering and analysis models]
|-
* [http://stempedia.com/wp-content/uploads/Sign-conventions-axes.pdf Sign conventions for axes]
|[https://wiki.mache.uk/images/5/50/Axial-effects.pdf Axial Effects]
* [[Run an Algorithm]]
|Axial force, stress and deformation of a door post
|-
| rowspan="4" |Equilibrium
|[https://wiki.mache.uk/images/0/02/Equilibrium-see-saw.pdf Equilibrium see-saw]
|Moment equilibrium for a see-saw
|-
|[https://wiki.mache.uk/images/4/4a/Equilibrium-lintel-beam.pdf Equilibrium lintel beam]
|Vertical, horizontal and moment equilibrium for a beam
|-
|[https://wiki.mache.uk/images/7/7e/Equilibrium-angled-loads.pdf Equilibrium angled loads]
|Equilibrium with loads at an angle on a beam
|-
|[https://wiki.mache.uk/images/9/9b/Uniform-loads.pdf Unifrom loads]
|Equilbrium with Uniformly Distributed Load (UDL)
|}


{| class="wikitable"
===== Force =====
|+
Explanations
!Topic
!Title
!Description:
|-
| rowspan="4" |General
|[[Run an Algorithm]]
|Guidance for doing calculation
|-
| Sign Conventions for Axes
|Sign conventions for structural model axis
|-
|Free Body Diagrams
|Explanation of Free Body Diagrams
|-
|Engineering and Analysis Models
|Comparison of Engineering and Analysis Models
|-
| rowspan="5" | Forces
|Force Basics
|Basic definitions for force
|-
|Force as a Vector
|Force as a vector, resolution of forces and equilibrium of a force at a point.
|-
|Force Vectors
|Resolution of force vectors
|-
|Axial end forces
|Forces at the end of axially loaded members
|-
|Tributary areas
|UDL distributiuon to floor joists
|}


==== Exercises ====
* [http://stempedia.com/wp-content/uploads/Force-basics.pdf Force - basics]
* [http://stempedia.com/wp-content/uploads/Force-basics-2.pdf Force - basics 2]
* [http://stempedia.com/wp-content/uploads/Force-as-a-vector.pdf Force as a vector] resolution of force and equilibrium of forces at a point
* [http://stempedia.com/wp-content/uploads/Force-vectors.pdf Resolution of force vectors]
*[http://stempedia.com/wp-content/uploads/Moment-as-a-vector.pdf Moment as a vector]
* [http://stempedia.com/wp-content/uploads/Axial-end-forces.pdf Axial end forces]
* [http://stempedia.com/wp-content/uploads/Tributary-areas.pdf Tributary areas]<br />
====<big>Exercises</big>====
'''Analysis of axial loads'''
'''Analysis of axial loads'''


Nodal analysis of a monopitch truss  [http://stempedia.com/wp-content/uploads/Monopitch-truss.pdf Context]  [http://stempedia.com/wp-content/uploads/Monopitch-truss-solution.pdf Solution]
Nodal analysis of a monopitch truss  [http://stempedia.com/wp-content/uploads/Monopitch-truss.pdf Question]  [http://stempedia.com/wp-content/uploads/Monopitch-truss-solution.pdf Solution]
{| class="wikitable"
{| class="wikitable"
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|+


|}
|}

Latest revision as of 10:08, 24 April 2022

This topic was developed as the Stempedia project in 2020. It is being converted to Engineer-it

Statics:

Analysis of pin-jointed frames

Key examples

A 'key example' shows the calculations with detailed explanations

Axial loading

Nodal analysis of a frame text video

Axial force, stress and deformation of a door post

Equilibrium

Moment equilibrium of a see-saw

Vertical, horizontal and moment equilibrium for a beam

Equilibrium with loads at an angle on a beam

Equilbrium with Uniformly Distributed Load (UDL)

Explanations

General
Force

Exercises

Analysis of axial loads

Nodal analysis of a monopitch truss Question Solution