Jak obliczyć ugięcie belki Zasadą Prac Wirtualnych całkując graficznie wzorem Wereszczagina?

In this video, I'll show you how to calculate beam deflection using the Principle of Virtual Works by integrating the Wereszczagin formula. 👉 You can find the full Wereszczagin method course here: 📌 https://www.dobrykorepetytor.pl/kurs/... 🆘 Need help? 🆘 👉 Online tutoring: https://mechanikaonline.pl/ 👉 Online courses: https://dobrykorepetytor.pl/ 💬 Quick contact - [email protected] / tel. 506 37 37 07 (send a text message with your name in the body, I'll call you back and try to help) 👉 In the video, I'll teach you: 0:43 - How to draw a diagram of bending moments due to actual loads on a cantilever beam? 4:20 - How can I apply a virtual force to a beam and draw a diagram of the bending moments from this load using the Principle of Virtual Work? 8:30 - How can I write an integral formula for the deflection of a beam at a specific point? 9:33 - How can I graphically integrate moment diagrams from actual loads and a moment diagram from a virtual load using Vereshchagin's formula? 12:00 - How can I determine the areas of the figures that make up moment diagrams, how can I find their centers of gravity and the ordinates on the diagram under the center of gravity? 19:28 - How can I determine the signs when graphically integrating using Vereshchagin's formula? I'll start by calculating and drawing a diagram of bending moments from actual loads on a cantilever beam. Then, at the point where we're looking for displacement, I'll place a virtual force in the direction of this displacement. In the next step, I'll draw a bending moment diagram for a beam loaded solely with a virtual force—a unit force. I'll then write down the integral formula of the Principle of Virtual Works for the displacement of a specific point on the beam. Using Wereszczagin's formula, I'll convert analytical integration into graphical integration of bending moment diagrams. I'll determine the area values ​​of the individual diagrams and calculate the ordinate values ​​of the moment diagram under the centers of gravity. Then, after determining the sign of the graphical integration, I'll calculate the displacement value at a given point on the beam. 🔔 Subscribe to this channel - https://www.youtube.com/c/DobryKorepe... 📌 Check out my video courses - https://dobrykorepetytor.pl/ 📌 Need tutoring? Visit: https://mechanikaonline.pl/ 💬 Contact - [email protected] / tel. +48 506 37 37 07 👉 About me: My name is Rafał Mstowski. I am a professional tutor with over 14 years of experience teaching technical subjects. During this time, I have helped over 1,000 students pass exams, obtain credits, or defend their projects. Their positive feedback is the best recommendation for the effectiveness of my tutoring. 🆘 Need help? 🆘 👉 Online Tutoring: https://mechanikaonline.pl/ 👉 Online Courses: https://dobrykorepetytor.pl/ 💬 Quick contact - [email protected] / tel. +48 506 37 37 07 (send a text message with your name, I'll call you back and try to help) #GoodTutor #RafałMstowski #GraphicalIntegration #VirtualPrac #BeamBending #BeamDisplacement #WereszczaginaPattern