Statics · UCSUR · Question 1
Combined footing
Problem statement
Three steel columns of a building carry forces and moments at their base according to the load analysis performed by the project's structural engineer, and they rest on a combined footing, as shown in the figure. As a result of these loads reaching the foundation, the soil reacts with a trapezoidal distributed load of intensities w₁ and w₂ on the combined footing. Determine w₁ and w₂ to ensure the equilibrium of the system.
Figure data: loads of 70 kN, 120 kN and 90 kN, and a 25 kN·m moment at the third column. Distances: 1 m, 2.5 m, 4.5 m and 1 m.
Concepts: trapezoidal distributed load, equilibrium, foundation, soil reaction, columns
