Difficulty: Easy
Correct Answer: 10%
Explanation:
Introduction / Context:Simplified analysis and detailing rules for continuous beams/girders often assume “approximately equal spans.” This allows use of standard bending moment coefficients and distribution rules.
Given Data / Assumptions:
Concept / Approach:When span variations are small, support moments and distribution factors do not deviate drastically from tabulated “equal-span” values. A widely adopted threshold is 10%, beyond which redistribution may be significant and specific analysis is recommended.
Step-by-Step Solution:
Define tolerance: (Lmax − Lmin) / Lmin ≤ 0.10.Apply to select percentage value among options.Choose 10% as the standard “approximately equal” criterion.Verification / Alternative check:Many handbooks stipulate 10% as a practical limit for using equal-span coefficients without notable error.
Why Other Options Are Wrong:5% is unduly restrictive; 15–25% allow excessive variation, undermining equal-span assumptions.
Common Pitfalls:Applying equal-span tables to irregular layouts with larger variations, leading to inaccurate moment distribution.
Final Answer:10%
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