Moment of Inertia of Enlarged I-Section Beam - Problem 24 | Strength of Materials | Beam Analysis
Автор: Tutor Jerry
Загружено: 2025-08-24
Просмотров: 357
Question: A steel stanchion is built of a rolled steel joist of I-section united by thick and wide plates fastened on each flange. The length of the stanchion is and is freely supported at both ends. For the I-section, . Find:
1. MOI of the enlarged section about XX axis
2. Greatest central point load the beam will carry if the bending stress is not to exceed
3. Minimum length of the plates
In this Strength of Materials problem (Problem 24), we calculate the Moment of Inertia (MOI) of an enlarged I-section beam and determine its load-carrying capacity under bending stress.
✅ Step-by-step calculation of MOI of the enlarged section
✅ Application of bending stress formula (σ = My/I)
✅ Determination of maximum central point load the beam can safely carry
✅ Calculation of the minimum plate length required for strengthening
This problem is important for students preparing for Civil Engineering, Mechanical Engineering, GATE, ESE, and University Exams.
📌 Key Learning Outcomes:
MOI calculation for composite and enlarged I-sections
Application of bending stress formula in practical beam design
Safe load determination for structural members
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