Rep 38 - Seismic Analysis Using Cantilever Method-diacamos,karren Michelle.ppt

SEISMIC ANALYSIS USING CANTILEVER METHOD

Prepared by: Karren Michelle V. Diacamos

SEISMIC ANALYSIS • Is a subset of structural analysis and is the calculation of the response of a building (or non-building) structure to earthquakes. • It is part of the process of structural design, earthquake engineering or structural assessment and retrofit in regions where earthquakes are prevalent.

CANTILEVER METHOD • It was initially developed by A.C. Wilson in 1908. • Is an approximate method for calculating shear forces and moments developed in beams and columns of a frame or structure due to lateral loads. • Is most appropriate for frames which is tall and slender and has columns with different crosssectional areas.

Behavior of Cantilever Beams and Columns:

ASSUMPTIONS: 1. A hinged is placed at the center of each girder and each column since this is assumed to be a point of zero moment. 2. The axial stress in a column is proportional to its distance from the centroid of the crosssectional areas of the columns at a given floor level.

Sample Problem:

U

Q

V

R X

M

W

S Y

N

T Z

O

P

Solution:

1ST LEVEL

5. M = (20)(2) M = 40 KN-m 6.

2ND LEVEL