Strain Energy Examples l Structural Analysis l #gate #structure #civilengineering #engineering
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Strain Energy Examples l Structural Analysis l #gate #structure #civilengineering #engineering
11 просмотров · 6 дн. назад
Unlearn for everyone
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11 просмотров · 6 дн. назад
Strain Energy Method: 5 Solved Examples | GATE & ESE Structural Analysis
In this video we solve five classical problems on indeterminate structures with the strain energy method. Every example starts with the question. Then we solve it step by step with slow narration and animation.
The idea in one line: a redundant adjusts itself so that the strain energy U is a minimum, so ∂U/∂R = 0 (or ∂U/∂R = δ if the support settles).
📘 EXAMPLES COVERED
1️⃣ Three-rod truss with one redundant rod.
2️⃣ Portal frame with an inclined leg, with BMD and deflected shape.
3️⃣ Frame with UDL and two redundants with BMD and deflected shape
4️⃣ Propped cantilever with a stepped section.
5️⃣ Continuous beam with a fixed end and an overhang, with BMD.
Also in this video:
✅ The 5-step method for any redundant structure.
✅ How to find the degree of indeterminacy.
✅ Writing M in terms of the redundants, and differentiating under the integral sign.
✅ Checking that M is continuous at the joints.
✅ 4 quick GATE-style practice questions.
✅ Summary and exam tips.
📌 Watch the previous video on the Force Method (Castigliano, unit load, Betti, Maxwell) first if you are new to this topic.
👍 Like, share and subscribe to Unlearn For Everyone for more civil and structural engineering lectures, GATE and ESE problem solving, and reasoning puzzles.
💬 Try the practice questions and put your answers in the comments.
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