Foundation Engineering CE 483 6. Combined foundation CONTENTS – Introduction – Design of combined foundation – References CE 483 - Foundation Engineering - 6. Combined foundations 2 Introduction Definition Types of combined foundations Why do we use combined foundation? CE 483 - Foundation Engineering - 6. Combined foundations 3 Introduction Definition SPREAD FOOTING • Spread footings such as square and rectangular footings are economical for support columns under normal condition. • Combined footing is a system of foundation that support more than one columns (usually 2 columns). CE 483 - Foundation Engineering - 6. Combined foundations 4 CE 483 - Foundation Engineering - 6. Combined foundations 5 CE 483 - Foundation Engineering - 6. Combined foundations 6 Combined foundation may have several types. CE 483 - Foundation Engineering - 6. Combined foundations 7 Introduction Types of combined foundations • Rectangular • • • Column Column Cross section This is the simplest type. Plan view CE 483 - Foundation Engineering - 6. Combined foundations 8 Introduction Types of combined foundations • Rectangular • Trapezoidal • • Column Column View plan of Trapezoidal combined Footing CE 483 - Foundation Engineering - 6. Combined foundations 9 Introduction Types of combined foundations • Rectangular • Trapezoidal • Cantilever (Strap) • – Consist of two single column footings connected with a cantilever beam or a strap. – This type is used to connect an eccentrically loaded column footing to an interior column so that a uniform soil pressure is generated beneath both footings. Column Column Cross section Strap Footing Footing Strap beam Plan view – Strap is used instead of other types if distance between columns is large and/ or the allowable soil pressure is relatively large so that the additional footing area is not needed. 10 Introduction Types of combined foundations • Rectangular • Trapezoidal • Cantilever • Tee-shaped Column Column Plan view CE 483 - Foundation Engineering - 6. Combined foundations 11 Introduction Why do we use combined foundation? Combined footing is usually used when: 1. 2. 3. one column is located at or near the property boarder line. two columns are so close that single footings cannot be used. supporting two columns of unequal loads Property boarder CE 483 - Foundation Engineering - 6. Combined foundations 12 Design of combined foundation Forces Types of design Rectangular combined foundation Trapezoidal combined foundation CE 483 - Foundation Engineering - 6. Combined foundations 13 Design of combined foundation Forces Property boarder line Flexural reinforcement Tensile 14 Design of combined foundation Forces • Longitudinally, the footing acts as an upward loaded beam spanning between columns and cantilevering beyond. • Using statics, the shear force and bending moment diagrams in the longitudinal direction are drawn. • The footing is also subjected to transverse bending 15 Design of combined foundation Types of design The geotechnical design, will include: - Determining of allowable bearing capacity of the soil - Determine the horizontal geometries of the combined foundation such as width, length and total area A. The structural design will include: - Determining the thickness of the foundation - Reinforcement of the concrete (for shear and bending) 16 Geometric Design of Rectangular combined foundation 17 Design of combined foundation Design of Rectangular combined foundation • Let’s consider the rectangular combined foundation shown in the figure. • The allowable bearing capacity qall is estimated from the bearing capacity equation (see previous chapter). • The geotechnical design of this foundation will require to determine the design area A, and dimensions L, B (keeping uniformly distributed pressure). • The following steps are used: area A 18 Design of combined foundation Design of Rectangular combined foundation Step #5. The width B is then calculated from: (5) 19 Geometric Design of Trapezoidal combined foundation 20 Design of combined foundation Design of Trapezoidal combined foundation • Let’s consider the Trapezoidal combined foundation shown in the figure. • We will assume that the allowable bearing capacity qall is known for the soil. • The geotechnical design of this foundation will require to determine the design area A, and dimensions B1, B2 (keeping uniformly distributed pressure as much as possible). • The following steps are used: is determined from: Note that A also equal to: (6) 21 Design of combined foundation Design of Trapezoidal combined foundation Note: • Q1 and Q2 might be given as dead load DL and live load LL. • Some design code recommends to use a factor of safety (1.4 for DL and 1.7 for LL). • In this case the ultimate bearing capacity qult should be used. 22 Design of combined foundation Design of Trapezoidal combined foundation Class Example Design a trapezoid-shaped footing, with 2 columns at ends of footing as shown below, where qall = 120 kPa and L = 7 m. 23 Class Example/ Solution Note. Because the FS is applied on the loads we should use the ultimate bearing capacity qult 24 Class Example/ Solution (cont..) 25 References 1. Braja M Das, 2011, Principles of Foundation Engineering, 7th ed, Chapter- 6. 2. Previous course materials and presentations at KSU. 3. Geotechnical on the web: http://environment.uwe.ac.uk/geocal/foundations/founbear.htm. 4. Andrew Bond and Andrew Harris, 2008, Decoding Eurocode 7, London. 5. The Institution of Structural Engineers library: www.istructe.org/resources-centre/library CE 483 - Foundation Engineering - 6. Combined foundations 26