Calculate optimal steel or concrete beam sizes for given loads, spans, and design criteria.
Design a steel beam for an office building: • Span: 30 feet • Spacing: 25 feet • Dead load: 80 psf • Live load: 125 psf (office occupancy) • Code: IBC 2021 / ASCE 7-22 • Material: A992 steel (Fy = 50 ksi) • Deflection limit: L/360
LOAD CALCULATIONS: • Total dead load: 80 psf × 25 ft = 2.0 k/ft • Total live load: 125 psf × 25 ft = 3.125 k/ft • Factored load (LRFD): wu = 1.2(2.0) + 1.6(3.125) = 7.4 k/ft STRENGTH DESIGN: • Maximum moment: Mu = (7.4)(30²)/8 = 832.5 k-ft • Required Zx: 832.5/(0.9 × 50) = 18.5 in³ RECOMMENDED SECTION: W27×84 • Zx = 213 in³ ✓ • Utilization ratio: 87% ✓ • Deflection: L/420 < L/360 ✓ ✅ W27×84 MEETS ALL CRITERIA
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.
Premium members get the complete prompt text, multiple templates, advanced features, and priority support.