TR.31.2.20 NTC (Normas TécnicasComplementarias) Seismic Load
The purpose of this command is to define and generate static equivalent seismic loads as per Code of the México Federal District (Reglamento de Construcciones del Distrito Federal de México) and Complementary Technical Standards for Seismic Design (y Normas Técnicas Complementarias (NTC) para Diseño por Sismo -Nov. 1987) (Chapters 8.1 8.2 8.6 and 8.8) specifications. Depending on this definition, equivalent lateral loads will be generated in horizontal direction(s).
The seismic load generator can be used to generate lateral loads in the X & Z directions for Y up or X & Y for Z up. Y up or Z up is the vertical axis and the direction of gravity loads (See the
SET Z UP
command in
TR.5 Set Command Specification). All vertical coordinates of the floors above the base must be positive and the vertical axis must be perpendicular to the floors.
General Format
DEFINE NTC LOAD
ntc-spec
weight-data
Refer to Common Weight Data for information on how to specify structure weight for seismic loads.
Where:
ntc-spec = { ZONE f1 QX f2 QZ f3 GROUP f4 (SHADOWED) (REGULAR) (REDUCE) (PX f5) (PZ f6) }
where:
Parameter | Definition |
---|---|
ZONE f1 | Zone number specified in number such as 1, 2, 3 or 4 |
QX f2 | seismic behavior factor of the structure along X direction as a parameter according 3.2.4. |
QZ f3 | seismic behavior factor of the structure along Z direction as a parameter according 3.2.4. |
GROUP f4 | Group of structure entered as A or B |
PX f5 | Optional Period of structure (in sec) in X-direction to be used as fundamental period of the structure instead of the value calculated by the program using Rayleigh-Quotient method |
PZ f6 | Optional Period of structure (in sec) in Z-direction to be used as fundamental period of the structure instead of the value calculated by the program using Rayleigh-Quotient method |
-
REGULAR
is an optional parameter which is entered to consider the structure as a regular structure. By default, all structures are considered as irregular. -
SHADOWED
is an optional parameter which is used to define the shaded zone II as the site of the structure. By default regular zone II is used. -
REDUCE
is an optional parameter which allows to reduce the seismic factors as described above. Otherwise the following formula is used to calculate base shear,
Generation of NTC Seismic Load
To provide NTC Seismic load in any load case:
LOAD i
NTC LOAD {X/Y/Z} (f)
where:
Parameter | Definition |
---|---|
LOAD i | load case number |
NTC LOAD { X | Y | Z } f | factor to multiply horizontal seismic load |
Methodology
The design base shear is computed in accordance with Sections 8.1 or 8.2 of the NTC as decided by the user.
-
Base Shear is given as
Vo / Wo = c / Qwhere
- c
-
Seismic Coefficient, which is obtained by the program from the following table
Table 1. Seismic coefficient per NTC Seismic Coefficient, c Group A Group B I 0.24 0.16 II not shaded 0.48 0.32 III (and II where shaded) 0.60 0.40 - Q
- is entered by the user as a parameter
== -
Base shear is given as
Vo / Wo = a / Q’Where Reduction of Shear Forces are requested
Time Period T of the structure is:calculated by the program based on using Rayleigh quotient technique.
you may override the period that the program calculates by specifying these in the input
a and Q’ are calculated according to the sections 3 and 4 of the NTC, that is to say:
Where:
q = (Tb/T)rIf not regular, then Q’ = Q’ x 0.8
Ta, Tb and r are taken from table 5-13 (Table 3.1 in the NTC).
Table 2. Values of Ta, Tband r per NTC Zone Ta Tb r I 0.2 0.6 1/2 II not shaded 0.3 1.5 2/3 III (and II where shaded) 0.6 3.9 1.0 a shall not be less than c/4
Vo for each direction is calculated:
Where:
Wi and hi the weight and the height of the ith mass over the soil or embedment level.
The base shear are distributed proportionally to the height if T ≤ Tb or with the quadratic equation mentioned if T > Tb . The distributed base shears are subsequently applied as lateral loads on the structure.
Example
UNIT KGS METER
DEFINE NTC LOAD
ZONE 2 QX .5 QZ 0.9 GROUP B
SELFWEIGHT
ELEMENT WEIGHT
1577 TO 1619 PRESSURE 275
LOAD 1 ( SEISMIC LOAD IN X DIRECTION )
NTC LOAD X 1.0
LOAD 2 ( SEISMIC LOAD IN Z DIRECTION )
NTC LOAD Z 1.0