StructuralMind

Result integration, PIER

Updated:

On this page

Problem. The PIER tool produces the total section forces at the base of a column or wall. Under a horizontal load the base shear and the overturning moment are compared.

Reference document. Static equilibrium is used.

Under a horizontal load the base shear and the overturning moment take these values from statics.

V=H,M=H hV = H,\qquad M = H\,h

Numerical model. The method is free-body equilibrium.

Cantilever wall, horizontal load at the top

Parameters. H = 100 · h = 10

Closed form. Static equilibrium

V=H,M=HhV = H,\qquad M = Hh
QuantityReferenceComputedDeviation
Base shear force1001000%
Overturning moment at the base1,0001,0000%