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Structural Loads Part 2 Civil Engineering and Architecture. Unit 6 Structures. In this lesson:. Solve the Building Design Problem “Chase” the Load Calculate Beam and Girder Loading Select the Beam and Girder Size Size the footings. Building Design Problem.
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Structural Loads Part 2 Civil Engineering and Architecture Unit 6 Structures
In this lesson: • Solve the Building Design Problem • “Chase” the Load • Calculate Beam and Girder Loading • Select the Beam and Girder Size • Size the footings
Building Design Problem • A Steel Framed Retail Building with Concrete Floors and Flat Roof Please click here to obtain Revit file of the building.
Girder Beam Column Footing Second Floor Framing
Load Chasing for this Problem • Calculate beam loading, obtain reactions • Transfer reaction loads to girder • Carry girder reactions to column then to footing
Design Area Partial 2nd Floor Framing Plan
6’8” Width Tributary or Contributing Area Beam B.3 Column B-3 Girder 3BC
Calculating Beam Loading Please click here to obtain “Steps for Calculating Beam Loading.”
Dead and Live Load Documents Click Here for the Live Load Sheet Click Here for the Dead Load Sheet
2nd Floor Beam, Girder Calculations 2nd Floor Loading for Beam B.3 - Dead Load • Span Length 18’-0” • Dead Load • 4” thick concrete slab 50 lb/ft2 • Flooring- Ceramic Tile 10 lb/ft2 • Partitions (Drywall with metal stud) 8 lb/ft2 • Suspended Ceiling 2 lb/ft2 • Mechanical/ Electrical Items 10 lb/ft2 • Total DL 80 lb/ft2 • Assumed Dead Load Weight of Beam: 20 lb/ft
2nd Floor Beam, Girder Calculations 2nd Floor Loading for Beam B.3 - Live Load • Live Load • Retail Space 80 lb/ft2 • Total Load DL + LL (per lineal foot of beam) • [80lb/ft2 + 80 lb/ft2 ] x 6.67 ft = 1067.2 lb/ft • Add the Beam Weight of 20 lb/ft • Total DL + LL + Beam Weight = 1087.2 lb/ft • Use 1090 lb/ft
2nd Floor Beam B.3 Calculations MD Solids Span Length is 18 feet. Uniform Load w = 1090 lb/ft
Shear Moment 2nd Floor Beam B.3 Calculations MD Solids – Shear and Moment Diagrams
Fb = (Yield Strength) (36,000 psi) = 24,000 psi Fb = (50,000 psi) = 33,000 psi Fb = Allowable Bending Stress Allowable Bending Stress = Fb • A36 Structural Steel – 36,000 psi
= Fb = 24,000 psi = Section Modulus M = 44,145 ft-lbs SRequired = 22.073 in3
Deflection limited to: 216 in 0.6 in = 360 Beam B.3 Deflection Professional Development Lesson ID Code: 8009
Beam B.3 Comparisons SELECT
Girder 3BC Calculations Beam B.3 Span Length is 18 feet. Uniform Load = 1090 lb/ft P1 = P2 = (18ft)(1090 lb/ft) P1 = P2 = 19,620 lb.
= Deflection Limit = Design Results Deflection Limit = 0.666”
Footing Loads • Allowable Soil Bearing Capacity = 3000 lb/ft2 • Loads Considered • Dead & Live load from 2nd floor and roof • Column’s weight (dead load) • Load from 1st floor slab • Dead load from footing
Roof Load Roof Type: Corrugated Steel Deck with insulation and 5 ply membrane roof and gravel, located in Rochester NY. • Dead Load • Suspended Ceiling 2 lb/ft2 • Mechanical Equipment 10 lb/ft2 • Steel Deck 5 lb/ft2 • Insulation 2 lb/ft2 • Roof Membrane and Gravel 6 lb/ft2 • Roof Framing 10 lb/ft2 • Total DL 35 lb/ft2
Roof Load – Snow • Snow Load • Rochester, NY 55 lb/ft2 • Total Load on Roof • DL + SL = 35 lb/ft2 + 55 lb/ft2 = 90 lb/ft2 • Axial Load on Column B-3 from Roof • Tributary Area of Roof = 18 ft x 20 ft = 360 ft2 • (DL + SL)(Trib. Area) = (90 lb/ft2)(360 ft2) = 32,400 lb
Roof Loads Column B-3 2nd Floor Loads 1st Floor/ Slab Loads Soil Bearing Reaction Loads on Column and Footing
Loads on Column - Footing • Loads on the Column • 2nd Floor • Girder x 2 = 2(20,120 lb) = 40,240 lb • Beams x 2 = 2(9,810 lb) = 19,620 lb • Roof • Concentrated Load = 32,400 lb • Column Self Weight • 21 ft x 50 lb/ft (estimated) = 1,050 lb • Total 93,310 lb • Use 94,000 lbs
Soil Bearing Capacity Available • Soil Capacity Available=3000 lb/ft2 - 150lb/ft2 = 2850 lb/ft2 = qnet Allowable Soil Bearing Capacity= 3000 lb/ft2 Footing wt. = (1 ft)(150 lb/ft3) = 150 lb/ft2
Sizing the Footing • Load Column Footing = 94,000 lbs Soil Capacity Available = 2850 lb/ft2 = qnet Use 6’-0” x 6’-0” Square Footing
The Solutions: • Beam B.3 W12x22 • Girder B3B W16x45 • Footing under Column B-3 6’ x 6’
Curriculum Alignment: Unit 6 – Structural Engineering Lesson 6.1 – Introduction to Structural Engineering Act. 1.1 – Structural Calculations Act. 1.2 – More Load Calculations Lesson 6.2 – Roof Systems Lesson 6.3 – Columns and Beams
References: Jefferis, A. & Madsen, D.A. (2001). Architectural Drafting and Design, Albany, NY: Delmar Kane, K. & Onouye B., (2002). Statics and Strength of Materials for Architecture and Building Construction, 2nd ed., Saddle River, NJ: Pearson Education, Inc Shaeffer, R.E. (2002). Elementary Structures for Architects and Builders, 4th ed.. Columbus, OH: Prentice Hall Manual of Steel Construction, 8th ed., American Institute of Steel Construction http://pbs.org/wgbh/buildingbig/lab/forces.html
Credits: Writer: Constance Bertucci Content Editor: Donna E. Scribner Narration: Donna E. Scribner PLTW Editor: Ed Hughes Production: CJ Amarosa Video Production: CJ Amarosa Audio: CJ Amarosa Project Manager: Donna E. Scribner