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Mechanics of Materials

Stress State: Dive into the World of Forces and Stresses!

Are you ready for an exciting journey into the world of physics? Then buckle up and discover the secrets of the stress state with us!

What is stress? Imagine you are building a giant Lego structure. The individual blocks push and pull against each other - that's exactly what stress is! In this course, you will learn how to calculate and understand these forces.

Stress components: Break down stress into its individual parts and discover how they interact. Just as a puzzle consists of many pieces, stress is also made up of different components.

Calculation: Crack the code of stress calculation! With a few clever formulas and tools, you can determine the forces in any component.

Transformation: Stresses change depending on the perspective. Learn how to transform them into different cutting planes and thus make the whole story of the load in the component visible.

Maximum stresses: Where does the greatest danger lurk? Find out where the stresses are highest in the component and how you can minimize them.

Mohr's circle of stress: This ingenious tool helps you to visualize stresses and to grasp important information at a glance.

Discover the fascination of the stress state! In this course you will not only learn dry knowledge, but also immerse yourself in the world of engineering. With good explanations and exciting application examples, the stress state becomes child's play.

Together we are strong! We will accompany you on your journey and help you to understand the complex concepts of the stress state. With our support you will master every challenge and become an expert for stable constructions.

So what are you waiting for? Start your journey into the world of stress now!

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1. Stress

Buckle up, everyone. It's going to be a stressful ride!

You know that feeling: You're lifting weights at the gym. What happens in your body? Exactly, your muscles are being stressed. In engineering mechanics, it's quite similar. Only that we're not talking about muscles here, but about components and structures.

Stress is the magic word. It describes how much a component/body is stressed internally when external forces act on it. It's kind of like the muscle soreness of engineering.

Can you imagine what a beam under tensile force looks like? It will stretch, right? In the inner cross-section of the beam, there are stresses. These stresses try to tear the beam apart.

This Figure 1.1.1 shows how external forces generate internal stresses.
Fig. 1.1.1: External forces generate internal stresses
What happens if the stress is too great?

Exactly, the beam breaks. That's why it's important to calculate and understand the stresses in components. This way, we can ensure that bridges, buildings and other structures are stable and safe.

By the way: Stresses occur not only under tension and compression, but also under bending, torsion and shear. In Engineering Mechanics 1, we already looked at section forces. Now we're going one step further and decompose the internal forces into stresses.

Formula fun:

The stress \(\sigma\) is calculated simply by the formula:

$$ \begin{aligned} \sigma = \dfrac{F}{A} \end{aligned} $$

F is the force and A is the area. The unit of stress is N/m2 (Pascal) or MPa.

In mechanics, the unit 1 N/mm2 = 1 MPa is often used.

Okay, enough theory!

Now it's your turn. Let your stress levels rise and answer these questions:

  • What are the different types of stresses?
  • How can stresses be calculated?
  • Which factors influence the stress distribution in a component?

Tip: In the next chapters, we will go into more detail on these topics. So, stay tuned!