CELE Strength of Materials — Beam DeflectionsSlides
Slide deck for CELE Strength of Materials — Beam Deflections. These slides are built for quick visual review, highlighting the key concepts, formulas, and question patterns from this chapter of the CELE 2026 syllabus.
Exam context
For the Civil Engineer Licensure Examination, Professional Regulation Commission (PRC) — Board of Civil Engineering tests Strength of Materials under a "Core" label, with Beam Deflections in the 5th slot across 8 chapters. CELE candidates must clear the 70% weighted average, no sub-test below 50% cut on the 2026 paper, which draws about a meaningful share of Strength of Materials questions. Date to watch: May and November 2026.
Beam Deflections - Slides
Slides
Deflection as a Serviceability Limit State
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The Elastic Curve and Governing Differential Equation
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Method 1: Double Integration — Procedure and Application
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Double Integration Example: Simply Supported Beam with Central Point Load
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Method 2: Area-Moment Theorems — Theorem 1 and Theorem 2
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Area-Moment Example: Cantilever with Point Load at Free End
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Method 3: Conjugate-Beam Method — Theory and Setup
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Conjugate-Beam Method Example: Cantilever with Distributed Load
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Method 4: Superposition with Standard Formulas
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Standard Deflection Formulas — Simply Supported Beams
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Standard Deflection Formulas — Cantilever Beams
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Worked Problem 1: Simple Beam Under UDL with Serviceability Check
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Worked Problem 2: Cantilever with Combined Point Load and UDL
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Worked Problem 3: Finding Required Moment of Inertia for Deflection Limit
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Deflection and Indeterminate Structures — Compatibility Equations
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Comparison of Deflection Methods: Pros, Cons, and When to Use
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Common Pitfalls and Exam Mistakes
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NSCP 2015 Deflection Limits and Code Requirements
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Deflection in Concrete vs. Steel Structures
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Summary and Key Takeaways
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