Strap footing

An exterior column at a property line, on an eccentric footing, tied by a strap beam to an interior footing. The strap holds the exterior footing level, so its reaction acts at its center: more than the column load, by what the interior footing is relieved. Use it where a combined footing would be too long.

ACI 318-19 has no section on straps. The strap is a beam by Chapter 9, each footing is by Chapter 13, and the rigid body statics are the method in the textbooks.

Inputs of the strap footing

  • Column spacing, footing sizes and offsets. Column 1 is the exterior one. e1 runs from column 1 to the center of the exterior footing, toward column 2. e2 runs from column 2 to the center of the interior footing, usually 0.
  • Strap width and depth. The strap is drawn with its top at the top of the footings.
  • Columns: sizes along the strap and across, and their concrete strength.
  • Column loads: per column and load type, unfactored, at the top of the footing. M acts along the strap, and positive moves the resultant toward the interior column. M across acts out of the plane of the strap, and tilts the pressure across the footing.
  • Soil: cover, unit weights, allowable pressure as gross or net.
  • Reinforcement: strap bars, hooked or straight at their far ends, stirrups, and the bars of each footing both ways.
  • Size effect: neglected for the footings by default (13.2.6.2). The strap uses Table 22.5.5.1 with stirrups.

Auto-design varies the footing widths (1/2-ft steps), thicknesses and strap depth (2-in. steps), the strap bars, the stirrup spacing and the footing bars. The column spacing, footing lengths and offsets are kept: they set where the footing sits at the property line.

Checks performed

CheckBasis
ReactionsRigid body statics, about the center of each footing, with the weights of footings, soil and strap
Uplift, resultant within the footing13.2.6.1 at every ASD combination
Soil bearing, each footing13.3.1.1, uniform along the strap, with the moment across it
Strap, top and bottom flexure22.2, 9.6.1.2. Moments along the whole length under the factored column loads, the net reactions and the strap's own weight
Strap, shear with stirrups, section limit, stirrup spacing, minimum stirrups22.5, 9.6.3, 9.7.6.2.2. At d from the column faces
Exterior footing, flexure and one-way shear across the strap13.3.3, 13.2.7.2. A cantilever from the strap face
Exterior footing, bars along the strap7.6.1.1, 7.7.2.3. Minimum and spacing
Interior footing, flexure and one-way shear both ways13.3.3, 13.2.7.2. From the column faces
Interior footing, two-way shear22.6, 8.4.4.2. The section takes the soil reaction outside it
Bearing of the columns22.8, without the frustum increase
Development of strap and footing bars25.4
Strap stiffer than the footingAdvisory: the strap's I over the exterior footing's I above 2, a textbook practice and not ACI

Limitations

  • The rigid strap is the model. It takes no soil pressure, and each footing's reaction stays at its center along the strap. Whether your strap is rigid enough, and how to keep it from bearing on the soil, is your judgment; the advisory gives the usual ratio.
  • Column 1 sits at the end of the strap, over the exterior footing. Its load goes to the strap, so it has no two-way shear check here. A column much wider than the strap needs your own check of that load path.
  • At column 2 the two-way section takes the soil outside it, by equilibrium, because the strap carries its force to the column region. This is a reasoned reading, not a code clause: check it if a reference disagrees.
  • The strap section is used alone inside the footings for moment and shear, which is conservative where the footing would help.
  • Lateral forces on the footings, sliding and transverse beams at the exterior footing are not covered. Enter shears at the top of the footing as moments if you need their effect.
  • Dowels are stated, not designed.

Verification examples

Verification status: 4 values compared in 1 example (1 published, 0 hand calculations from the cited equations): 0 within tolerance, 4 recorded deviations. Thin: only 1 published example. None of the compared values is within tolerance; the reasons are below. Code basis: partial. Only some provisions were read in the target edition; the rest rests on older editions, examples or summaries.

The textbook examples (Bowles, Foundation Analysis and Design; Wight, Reinforced Concrete: Mechanics and Design) were not on hand. One free example was found, and it is only a partial check:

ExampleSourceValues
Exterior column at a property line, service pressuresASDIP, Strap Footing Example Using ASDIP FOUNDATION (2024), a software output read from its screenshotsPressures 3.2 / 2.3 and 3.5 / 2.5 ksf. Differences documented below. The spread across the footing agrees

The post does not state the soil weight and shows the water table at the surface, so the weights are not known and the pressures differ, by up to 6 %. Those are documented differences, not fitted. The split of its live, roof and wind loads is not stated either, so its factored strap diagrams cannot be run.

Everything else is a hand calculation in the tests: the reactions, the strap moment under the footing, the footing moments and shears, the moment across the strap, uplift, and the net bearing. A published, complete strap example is still needed.