Quickly Master Complex Engineering Concepts

Whether you’re just starting out on your engineering journey or are an experienced professional, our aim is to provide you with all the resources you need to master tricky engineering concepts.

Step 1 – Learn

Learn the fundamentals of mechanical and civil engineering with the help of our articles and videos

Step 2 – Test

Check your understanding of different engineering topics using our detailed quizzes

Step 3 – Improve

Use resources like our summary sheets to continually develop and improve your knowledge

Featured Topics

Not sure where to start? Here are a few featured topics that cover a range of interesting engineering concepts.

Trusses

Trusses are structures (e.g bridges or roofs) made up of members that can only carry tensile or compressive axial loads.

Buckling

Buckling is a sudden deflection that occurs in slender columns or members that are loaded in compression.

The Finite Element Method

The finite element method is a numerical method used to approximate the solution to complex problems governed by differential equations.

Thermal Radiation

Radiation is the heat transfer mode where an object emits energy in the form of electromagnetic radiation due to its temperature.

One-Page Summary Sheets

The Efficient Engineer summary sheets are designed to present all of the key information you need to know about a particular engineering topic on a single page. It doesn’t get more efficient than that!

You can use them as study aids, or just as handy references guides for whenever you need to brush up on a troublesome topic.

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Latest Video

Watch the latest video from the Efficient Engineer YouTube channel.

The Incredible Properties of Composite Materials

The latest Efficient Engineer video covers composite materials.

This video explores the different types of composites, and how their use to create materials with incredible properties has completely transformed how some of the most advanced enginering problems can be solved.

Question of the Day

Test your understanding of engineering concepts with the question of the day.

A steel bar is being designed to support a suspended 2000 kg mass, as illustrated below. The bar is 1 m in length and has a circular cross-section. The maximum allowable stress in the bar is 80% of the material yield strength and the selected steel has a yield strength of 300 MPa. What is the minimum allowable radius of the bar, to the nearest 0.1 mm?

0.4 mm

1.1 mm

5.1 mm

6.4 mm

Explanation

The tensile stress in the bar is:

$$\sigma = \frac{F}{A} = \frac{9.81 \cdot 2000}{\pi r^2}$$

The maximum allowable stress is:

$$\sigma_{max} = 0.8 \sigma_y$$

The limiting radius can be calculated as follows by equating the tensile stress in the bar with the allowable stress:

$$\frac{9.81 \cdot 2000}{\pi r^2} = 0.8\sigma_y$$

$$r = \sqrt{\frac{9.81 \cdot 2000}{\pi 0.8 \sigma_y}} = 5.1 \mathrm{mm}$$

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