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Engineer4Free featured on Construction Placements Website

4/20/2020

 
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Engineer4Free is proud to have been included in Construction Placements’ list of Top Free Online Resources to Learn Engineering.

Construction Placements is a large network that helps professionals from construction industry to get regular feeds on recent industry news, information about global mega projects, job opportunities, and more.
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Dynamics: Circular Motion

2/4/2020

 
Engineering Dynamics Circular Motion Tutorials
7 new circular motion tutorials and 6 new fully solved practice problems are now up in the Engineering Dynamics course. They cover the basic units of radians, regulations, and degrees, as well as angular displacement, velocity, and acceleration. The equations of circular motion are are derived. Centripetal force and the normal / tangential components of circular motion are also discussed.
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Dynamics: Projectile Motion

8/23/2019

 
Projectile Motion
Five new video tutorials and five new solved problems are up in the Projectile Motion section of the Dynamics course! They introduce the general method for solving these types of problems, and go through a few different cases of one and two dimensional motion.
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Engineer4Free: A Top 60 Civil Engineering Blog / Website

7/2/2019

 
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Engineer4Free has recently been included in Feedspot's Top 60 list of Civil Engineering Blogs and websites! Very excited and honoured to make the cut among many other incredible sites. 

Check out the post below to browse some of the world's top online resources for Civil Engineers. 
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Ultimate Guide to Shear Force and Bending Moment Diagrams

4/28/2019

 
Being able to draw shear force diagrams (SFD) and bending moment diagrams (BMD) is a critical skill for any student studying statics, mechanics of materials, or structural engineering. There is a long way and a quick way to do them. The long way is more comprehensive, and generates expressions for internal shear and internal bending moment in terms of x: V(x) and M(x), respectively. This is usually the method that is asked for in entry level statics courses, to show that you understand what's going on. The quick way does away with the equations in terms of x, and uses a more visual approach that you can use to hammer out the key points on the diagrams then just connect the dots. The quick way is often acceptable in higher level courses where the professor assumes you have a good understanding of what's going on. I put together some videos that cover both methods below. If you watch them all then you're pretty much guaranteed to be a SFD and BMD rockstar. 
SFD and BMD

The Long Way To Solve SFD & BMD Problems:
  • Introduction to internal forces
  • Internal force sign convention
  • Shear force and bending moment diagram example #1: single point load
  • Shear force and bending moment diagram example #2: multiple point loads
  • Shear force and bending moment diagram example #3: distributed loads
  • Shear force and bending moment diagram example #4: applied moment
  • Shear force and bending moment diagram example #5: mixed distributed and point loads

The Quick Way To Solve SFD & BMD Problems
  • Shear force and bending moment diagram practice problem #1
  • Shear force and bending moment diagram practice problem #2
  • Shear force and bending moment diagram practice problem #3
  • Shear force and bending moment diagram practice problem #4
  • Shear force and bending moment diagram practice problem #5
  • Shear force and bending moment diagram practice problem #6
  • Shear force and bending moment diagram practice problem #7
  • Shear force and bending moment diagram practice problem #8
  • Shear force and bending moment diagram practice problem #9

Checking Your Work With SFD & BMD Software
  • Shear force and bending moment diagram software

In addition to watching all the above tutorials, you can also check out these 18 additional fully  solved SFD and BMD practice problems with solutions.

Free Online Linear Algebra Course

4/9/2019

 
Linear Algebra Tutorials
With 56 free tutorials, the Linear Algebra course is now complete. The course covers Vectors Basics, Systems of Linear Equations, Vector Combinations & Span, Matrices, Eigenvalues & Eigenvectors, and Complex Numbers! There are tons of detailed explanations and worked examples to help you better understand and grasp Linear Algebra and all it's abstractness. 
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Linear Algebra: Complex Numbers

4/3/2019

 
Complex Numbers Tutorials
The Complex Numbers section of the Linear Algebra Course is now complete. There are free tutorials that cover the concept introduction, some operations, and also how to express complex numbers in polar form.
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  • A quick introduction to complex numbers
  • How to add and subtract complex numbers
  • How to multiply complex numbers
  • How to divide complex numbers
  • How to find the absolute value of a complex number
  • How to write a complex number in polar form
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Free Online Differential Equations Course

2/18/2019

 
Free Differential Equations Tutorials
I created 36 free Differential Equations tutorials that focus on first and second order differential equations. The course covers basic introductions, integrating factors, separable differential equations, Bernoulli differential equations,  exact differential equations, non-exact differential equations, Euler's method, characteristic equations, fundamental solution sets, wronskian, reduction of order, undetermined coefficients, and variation of parameters! There are tons of detailed explanations and worked examples to help you better understand and grasp Differential Equations. ​
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Differential Equations: Second Order

2/18/2019

 
Second Oder Differential Equations Tutorials
15 new tutorials covering second order differential equations are now up! They cover a few important things about the characteristic equation, as well as reduction of order method, undetermined coefficients methods, and variation of parameters. 
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  • Characteristic equation and general solution of a linear second order DE 
  • Characteristic equation example #1: real distinct roots
  • Characteristic equation example #2: real repeated roots
  • Characteristic equation example #3: complex roots
  • Fundamental solution set and wronskian
  • Reduction of order method
  • Reduction of order example
  • Undetermined coefficients method
  • Undetermined coefficients example #1
  • Undetermined coefficients example #2
  • Undetermined coefficients example #3
  • Variation of parameters method
  • Variation of parameters example #1
  • Variation of parameters example #2
  • Variation of parameters example #3
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Linear Algebra: Eigenvalues and Eigenvectors

7/4/2018

 
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Wtf are eigenvalues and eigenvectors? I had that same thought and felt like I wasn't alone, so I went and figured it out and made a bunch of youtube tutorials about them. 

PS, did you know that "eigen" more or less means "my own" in Dutch? You'll understand the relevance once you go through the videos. 

Wtf are eigenvalues and eigenvectors 
Show that x is an eigenvector of A and find the corresponding eigenvalue
Show that λ is an eigenvalue of A and find a corresponding eigenvector
Find the characteristic polynomial of a matrix
Find the eigenvalues and eigenvectors of a 2x2 matrix
Find the eigenvalues and eigenvectors of a 3x3 matrix
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