11.7 Use both equations to calculate the vibration period (Ta) for the following structures. Vibration Period The seismic provisions of ASCE-7 code provide two empirical equations for approximate calculation of the tall buildings' first mode vibration period. Equation 1: To = Cthnx* hax is the building height above ground (in feet); C, and x are given in the table below. Table - Values of Approximate Period Parameters Ct and x Ct X Structure Type Steel moment-resisting frames Concrete moment-resisting frames Steel eccentrically braced frames Steel buckling-restrained braced frames All other structural systems Equation 2: Tg = 0.1 N where N = number of stories above the base a) Two-story, 24 ft tall, light frame wood building b) Five-story, 70 ft tall, concrete moment-resisting frame building 0.028 0.016 0.03 0.03 0.02 0.8 0.9 0.75 0.75 0.75 c) Thirty-story, 320-ft tall high-rise with dual system of steel concentric brace frame and steel moment-resisting frames

11.7 Use both equations to calculate the vibration period (Ta) for the following structures. Vibration Period The seismic provisions of ASCE-7 code provide two empirical equations for approximate calculation of the tall buildings' first mode vibration period. Equation 1: To = Cthnx* hax is the building height above ground (in feet); C, and x are given in the table below. Table - Values of Approximate Period Parameters Ct and x Ct X Structure Type Steel moment-resisting frames Concrete moment-resisting frames Steel eccentrically braced frames Steel buckling-restrained braced frames All other structural systems Equation 2: Tg = 0.1 N where N = number of stories above the base a) Two-story, 24 ft tall, light frame wood building b) Five-story, 70 ft tall, concrete moment-resisting frame building 0.028 0.016 0.03 0.03 0.02 0.8 0.9 0.75 0.75 0.75 c) Thirty-story, 320-ft tall high-rise with dual system of steel concentric brace frame and steel moment-resisting frames

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

11.7 Use both equations to calculate the vibration period (Ta) for the following structures.
Vibration Period
The seismic provisions of ASCE-7 code provide two empirical equations for approximate calculation
of the tall buildings' first mode vibration period.
Equation 1:
To =
Cthnx*
hax is the building height above ground (in feet); C, and x are given in the table below.
Table - Values of Approximate Period Parameters Ct and x
Ct
X
Structure Type
Steel moment-resisting frames
Concrete moment-resisting frames
Steel eccentrically braced frames
Steel buckling-restrained braced frames
All other structural systems
Equation 2:
Tg = 0.1 N
where N = number of stories above the base
a) Two-story, 24 ft tall, light frame wood building
b) Five-story, 70 ft tall, concrete moment-resisting frame building
0.028
0.016
0.03
0.03
0.02
0.8
0.9
0.75
0.75
0.75
c) Thirty-story, 320-ft tall high-rise with dual system of steel concentric brace frame and steel moment-resisting frames

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