RAM Structural System Help

Flexure in Spread Footings

The flexural capacity of the footing is calculated for the section at the concrete column edge or modified base plate edge and is expressed as:

M n = A s f y ( d a 2 ) Equation 4-17

a = A s f y 0.85 f c b Equation 4-18

The top reinforcement ATsis only required to meet flexural capacity and bar spacing requirements. It is not checked for minimum reinforcement area requirements per Section 7.12.2.1

The bottom reinforcement AsB is required to meet flexural capacity and bar spacing requirements as well as the requirements of Section 7.12.2.1 as described below. When top reinforcement is required the minimum reinforcement area takes into consideration both the top and bottom reinforcement in a given direction.

As,min = 0.002bh for fy = 40 ksi ACI 318-14 8.6.1.1

As,min = 0.0018bh for fy = 60 ksi ACI 318-14 8.6.1.1

A s , min = 0.0018 ( 60 , 000 ) f y for fy > 60 ksi ACI 318-14 8.6.1.1

The reinforcement spacing is also limited to

Smax = 18 in ACI 318-14 7.12.7.2.2

Smax = 5 x Footing Thickness ACI 318-14 7.12.7.2.2

Note: ACI 318-14 24.3.2 is not implemented because it relates to crack width controls and may not have any impact on corrosion so it is considered not to be applicable for foundations.

In calculating the required footing moment at the face of the column, RAM Foundation establishes an applied stress prism bounded by the soil stress area. Note that this stress prism could reflect either a stress generated from soil pressure (acting upward on the footing), a stress generated from the footing self-weight plus a uniform surcharge (acting downward on the footing), or a combination of both. A unique stress prism is generated for each concrete load combination used in the design.

The moment is calculated by treating the soil stress area as a cantilever beam supported at the column face. If any portion of the soil stress area is in uplift (not in contact with the soil), a check is done to determine if the uplift component of the loading produces a greater moment at the face of the column than the soil pressure component of the loading. If it does, the required moment will be used to size/check top reinforcement for the footing. Otherwise, the moment will be used to size/check bottom reinforcement.

The flexure capacity of the footing is considered to be acceptable when adequate reinforcement is provided in the footing to satisfy Equation 4‑19 on all sides of the column.

ϕ b M n M u Equation 4-19

Flexure Critical Sections for Major Moment

Flexure Critical Sections for Minor Moment