chapter  3
36 Pages

Lateral force distribution

For a wall, which is ‡xed at its base or foundation and is a vertical cantilever, the de‰ection is (Figure 3.1):

δ δ δcant = + = +m v m v

Ph E I

Ph AE

3 1 2.

(3.1)

where: δm is the de‰ection due to ‰exural bending δv is the de‰ection due to shear P is the lateral force applied to the wall h is the height of the wall A is the cross-sectional area of the wall I is the cross-sectional moment of inertia of the wall in the direction of bending Em is the modulus of elasticity in compression Ev = G is the modulus of elasticity in shear (Ev = 0.4Em)

For a wall, which is ‡xed both at its base and at the top and restrained against rotation, the de‰ection is as follows (Figure 3.2):

δ δ δfixed = + = +m v

Ph E I

Ph AE

12 1 2.