CELE Reinforced & Prestressed Concrete — Reinforced Concrete Beams: Shear and TorsionSlides
Presentation-style slides for Reinforced Concrete Beams: Shear and Torsion — the fastest way to cover the chapter if you are reviewing on your phone between classes or shifts. Covers everything Professional Regulation Commission (PRC) — Board of Civil Engineering tests on this chapter in the CELE Reinforced & Prestressed Concrete subtest.
Exam context
For the Civil Engineer Licensure Examination, Professional Regulation Commission (PRC) — Board of Civil Engineering tests Reinforced & Prestressed Concrete under a "Core" label, with Reinforced Concrete Beams: Shear and Torsion in the 3rd slot across 7 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 Reinforced & Prestressed Concrete questions. Date to watch: May and November 2026.
Reinforced Concrete Fundamentals: WSD and USD - Slides
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Chapter Overview: Reinforced Concrete Design Philosophies
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Working Stress Design (WSD) — The Allowable Stress Method
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Ultimate Strength Design (USD) — The NSCP 2015 Standard
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Concrete Material Properties: f'c and Ec
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Steel Reinforcement Properties: fy and Es
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The Modular Ratio n (WSD Transformed Section)
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Strength-Reduction Factor φ: Values and Selection
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Transition Zone: Compression-Controlled vs Tension-Controlled Sections
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The Whitney Equivalent Stress Block: Intensity 0.85f'c and Depth a = β₁c
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The β₁ Factor: Computation and Values Across f'c Range
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Load Factoring in USD: Standard LRFD Combinations
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Elastic Stress Distribution vs Strain Distribution: The Basis of Neutral Axis
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Worked Example 1: Computing β₁ and Ec for Multiple f'c Values
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Worked Example 2: USD Load Factoring and Design Requirement φMn ≥ Mu
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Worked Example 3: WSD Modular Ratio and Allowable Stress Check
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Comparison: WSD vs USD Design Approach and Philosophy
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Key Formulas Summary: Quick Reference for Design Calculations
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Common Pitfalls and Exam Mistakes
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Chapter Summary: Essential Takeaways for RC Fundamentals
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Study Guide: Key Concepts and Learning Outcomes
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