Economical Design of Concrete Buildings Lawrence Novak General Considerations • Three major costs in concrete construction: – Concrete 25% – Reinforcement 25% – Formwork 50% 2 Cost Efficiencies • Optimized designs unwarranted for structures of moderate size & height – Example: floor system thickness • Simplify concrete formwork – Expediency of construction versus efficiency of structural design – $ Cost savings $ 3 Economical Formwork 4 Lower Cost through Formwork Economies • Minimizing material quantities guarantees “inefficient” designs Cost Complexity 5 Structure Cost Structure Cost No. of Stories 6 Flat Plate 7 Flat Plates • Thickness controlled by two-way (punching) shear 8 Flat Plate Flexibility 9 Flat Plate Construction 10 Flat Slab 11 New in 2008 Shear Cap Slab-Column Systems Drop panels and column capital 12 One-Way Joist (Standard) 13 One-Way Joist 14 Waffle Slab 15 How is a Pan Job Built? • Deck • Endcaps & diaphragms • Pans laid 16 Pan Construction - Deck 17 Pan Construction – Endcaps 18 Pan Construction - Diaphragms 19 Pan Construction – Lay Pans 20 Pan Construction – Ready for Rebar 21 System Selection • Achieve lower total cost by balancing the trade off between formwork (labor) and material Comparative Costs Concrete Concrete Rebar Formwork Pan Deck Rebar Formwork Beam & Slab 22 Different Systems – Different Costs High Cost Beam & Slab Unique Pans Beam & Slab Flat Pans with Drop Beams Flat Slab with Drops Low Cost Flat Pans Flat Plate 23 Paper - Scissors - Rock • Labor beats Material • 1 CY Concrete = 2 Hours of Labor 24 Trump Mat Foundation Solid vs. Shaped 25 Myths and Misperceptions • Concrete takes Longer to Build than Steel 26 Myths and Misperceptions • Concrete takes Longer to Build than Steel 35 30 Construction of Superstructure Frame 25 20 Months 15 10 5 CONCRETE STEEL 50 Stories CONCRETE STEEL 5 Stories 27 Myths and Misperceptions • Account For Material Order Duration Add Time for Material Order 35 30 w14x90 or w21x44 Next Roll Dates Sept. / Oct. 25 20 Ref: http://www.nucoryamato.com/ Months 15 10 5 CONCRETE STEEL 50 Stories CONCRETE STEEL 5 Stories Material Order time Myths and Misperceptions • Account For Architectural Finishes + Cladding (Time to Occupancy) Add Time to Finish Building 35 (i.e.: Time to Occupancy) 30 25 20 Months Completion to Occupancy 15 10 CONCRETE STEEL 50 Stories CONCRETE STEEL 5 Stories Myths and Misperceptions • Concrete takes longer to build than steel 30 Price Stability = Cost Effective Construction Base Year 2002 = 100 • Do not underestimate the importance of price stability on decision making 31 Formwork Considerations • Use available standard form sizes • Repeat sizes • Strive for simple formwork 32 Slab Systems 33 Forming of Drop Panel 34 Flat Slab 35 Drop Panel Depth Nominal lumber size Actual lumber Plyform size (in.) thickness (in.) h1 (in.) 2X 4X 1-1/2 3-1/2 ¾ ¾ 2-1/4 4-1/4 6X 8X 5-1/2 7-1/4 ¾ ¾ 6-1/4 8 36 Standard Form Dimensions 37 Spandrel Beams 38 Drop Spandrels Increase Cost • A flat spandrel with imbeds for steel framing will usually beat a drop spandrel with imbeds. Beam/Column Intersections 40 Vertical Elements • Walls • Columns 41 Column Economics • More Economical to: – Use Larger Column Sizes • (1 – 2%) Steel – Use Larger Bars – Minimize Column Changes – Reduce Number of Splices 42 Nonslender Tied Columns 43 Short Tied Column Axial Design Simplified Column Capacity (short tied column, fy = 60 ksi) 3.5 f’c = 6,000 psi Pu / Ag (ksi) 3.0 f’c = 5,000 psi 2.5 2.0 f’c = 4,000 psi concrete 1.5 1.0 0.5 0.0 0.5% Per ACI 318-14 Section 10.3.1.2 Not allowed for special moment frames for seismic 0.6% 0.7% 0.8% 0.9% 1.0% 1.1% r = As / Ag 1.2% 1.3% 1.4% 1.5% 44 Short Tied Column Axial Design Simplified Column Capacity Column Cost Comparision (short tied column, fy = 60 ksi) (short tied column, fy = 60 ksi) Pu / Ag (ksi) Relative Cost Per Capacity 3.5 1.6 f’c = 6 ksi 3.0 1.4 f’c = 5 ksi 2.5 2.0 1.2 f’c = 4 ksi concrete f’c = 4 ksi concrete 1.5 1.0 f’c = 6 ksi 1.0 0.5 0.8 0.5% 0.0 0.5% 0.6% 0.7% 0.8% f’c = 5 ksi 0.9% 1.0% 1.1% 1.2% 1.3% 1.2% 1.3% 1.4% 1.5% r = As / Ag 0.6% 0.7% 0.8% 0.9% 1.0% 1.1% 1.4% 1% Steel steel is is generally Generallyoptimum Optimum r = As / Ag Higher Concrete is General At 1%Strength steel, Column Capacity (Pu /Optimum Ag) is approx. = f’c / 2 1.5% 45 46 Frame-Two-way Slab-Column 47 Beam and Slab 48 Site Cast (Tilt-up) • • • • Fast Quality Simple Energy efficient 49 Site Cast (Tilt-up) • Built-in Veneer – Embed brick “facers” – Reduces time and costs vs. brick and mortar construction M Brick 50 Factory Cast (Precast) • • • • Fast Quality Simple Energy efficient 51 PT Slabs 52 What if your Shape is Not Standard? How do you Find the Optimal Form? 53 Study in Topology Function Strength Aesthetic Hanger, Orbetello, Italy Why optimize the structure’s layout? Optimized structures are inherently elegant Gatti Wool Mill, Rome 54 Simple Frames of Least Weight Mitchell Theorem is satisfied if the bars in a frame are subjected Where V is the minimum Volume, to stresses of the same sign: Vf Fi ri Bar under two opposed forces ri is the vector location of vector Force Fi and f is the allowable stress Triangular and tetrahedral frames Catenaries Arches 55 Conclusions • System Selection • Formwork Systems • Constructability • Balance Optimum Design and Constructability – Lest Material is not always the most Economical Design 56 Past - Present - Future 57