How does ideCAD calculate the equivalent lateral force acting on stories according to ASCE 7-16?
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Symbols
Fi = The portion of the seismic base shear (V) [kip (kN)] induced at level i
Cvx = vertical distribution factor
V = total design lateral force or shear at the base of the structure [kip (kN)]
wi and wx = portion of the total effective seismic weight of the structure (W) located or assigned to level i or x;
hi and hx = height [ft (m)] from the base to level i or x; and
k = an exponent related to the structure period
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The peak load is used to approximate the effect of the high modes neglected in this method. The following equation calculates the total equivalent lateral force (Base shear force) is calculated by the following equation.
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The part of the total equivalent lateral force other than the peak load is automatically distributed to the building floors, including the Nth floor, by accepting the mode shape of the dominant mode as an inverted triangle.
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k = an exponent related to the structure period as follows:
for structures that have a period of 0.5 s or less, k = 1;
for structures that have a period of 2.5 s or more, k = 2; and
for structures that have a period between 0.5 and 2.5 s, k shall be 2 or shall be determined by linear
interpolation between 1 and 2.
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