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Structural Engineering
Intermediate

Structural Deflection Check

Verify serviceability and deflection limits for existing or proposed structural members.

Before

Sample Problem

Check deflection for existing beam:
• Member: W21×62 (A992 steel)
• Span: 30 feet
• Moment of inertia: 1,330 in⁴
• Dead load: 2.0 k/ft
• Live load: 3.125 k/ft
• Code: IBC 2021
• Limits: L/360 (live), L/240 (total)
After

AI-Generated Solution

LIVE LOAD DEFLECTION:
δ_LL = (5 × 3.125 × (30×12)⁴) / (384 × 29000 × 1330)
δ_LL = 0.94 inches

Limit: L/360 = (30×12)/360 = 1.00 inch
Status: 0.94 < 1.00 ✓ PASS

TOTAL LOAD DEFLECTION:
δ_total = 1.55 inches
Limit: L/240 = (30×12)/240 = 1.50 inches
Status: 1.55 > 1.50 ✗ FAIL

⚠️ RECOMMENDATION:
Increase member size to W24×68 or reduce loads

Key Results

Live Load Deflection
0.94 in (PASS)
Total Deflection
1.55 in (FAIL)
Recommended Action
Upsize to W24×68
Critical Ratio
L/232 vs L/240 limit

Common Use Cases

Serviceability checks
Existing building evaluation
Renovation projects
Peer review

Professional Review Required

This demo shows AI-generated output for preliminary design purposes only. All calculations must be verified by a licensed Professional Engineer (PE). Cognitive BuiltWorld assumes no liability for designs based on AI outputs.

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