A three story building has a period of 0.6 seconds and story heights of 10 ft. Determine the percentage of the base shear distributed to the floor 2 level(s) above grade (floor 3 is the roof). The floor weights are all the same. Give the answer as a percentage (i.e., for 50% enter "50" not "0.50").
A three story building has a period of 0.6 seconds and story heights of 10 ft. Determine the percentage of the base shear distributed to the floor 2 level(s) above grade (floor 3 is the roof). The floor weights are all the same. Give the answer as a percentage (i.e., for 50% enter "50" not "0.50").
Answer
We are given
structure period = 0.6 sec
storey height = 10 ft
Floor weights are all the same say W
To determine the percentage of the base shear distribution based on the given data we need to calculate vertical distribution factor ' Cvx '
Cvx =
where
Wi and Wx = portion of the total effective seismic weight of the structure located or assigned to level i or x
hi and hx = height from the base to the level i or x
k = an exponent related to the structure period
k = 1 for a structure that have a period of 0.5 s or less
k = 2 for a structure that have a period of 2.5 s or more
To calculate 'k' value for structure period of 0.6 sec we need to use linear interpolation.
Calculations shown in steps below
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