Seismic Forces Flashcards
All of the following statements about shear walls are correct except
a. a shear wall resists lateral forces from wind of earthquake by developing shear in its own plane
b. a shear wall must be made of reinforced concrete or structural steel
c. shear walls may be used with moment resisting frames to form a dual system
d. a shear wall is analagous to a vertical cantilever beam
b. a shear wall must be made of reinforced concrete or structural steel
Base Shear
Calculated total shear force acting at the base of a structure, used in
codes as a static representation of lateral earthquake forces. Also referred to as
“equivalent lateral force.”
Seismic Design Category, per IBC:
A=
B=
C=
D=
E=
F=
A = building in regions with little probability of earthquake
B = ordinary occupancy that could experience shaking
C = structures of ordinary occupancy that experience strong shaking or important
D=Structures that experience medium shaking
E = Ordinary building close to a fault line
F = Important building close to a fault line
To find base shear (units = –1–)
1) kips
Base Shear (V) = Seismic response coefficient (Cs) x effective seismic weight of “ building(W)”

Describe importance factor when calculating base shear.
The importance factor is essentially an extra safety adjustment used to increase the calculated load on a structure based on its occupancy and/or function. Essential facilities (such as hospitals, fire and police stations, etc.) have the highest seismic importance factors (IE= 1.5), while buildings where people congregate (such as schools, auditoriums, etc.) also have relatively high seismic importance factors (IE = 1.25). Other structures have a seismic importance factor of unity (IE = 1.0). Higher importance factors are intended to insure that structural integrity is not compromised and important facilities remain operational during emergencies and natural disasters. Based on typical occupancy classifications for most wood structures, wood buildings are frequently designed using an importance factor of unity (IE = 1.0).
seismic response coefficient
I(importance factor)
R(response modification coefficient)
Sds
T (Actual period of building)
Cs(seismic design coefficeint)


To solve this problem you need to know the formula for base shear and seismic response coefficient.
W=1,000,000 pounds as given
I(importance factor)=1
R(response modification coefficient) = 6 as given
Sd1(Design spectral response at period of 1.0 sec )=0.55g as given
T (Actual period of building) = 0.4 seconds as given

Fundamental Period:
the rate at which an object will move back and forth if they are
given a horizontal push
Period:
the time (in seconds) that is needed to complete one cycle of a seismic wave
Frequency:
the inverse of period, or the number of cycles that will occur in 1 second
measured in Hertz.
Hertz:
a measurement of frequency, 1 Hertz = 1 cycle per second.
Newton’s second law of motion
• Force (F) = Mass (M) x Acceleration (A)”
• Mass is equivalent to the weight of the building at ground level
• Acceleration measured in terms of acceleration due to gravity (1g = 32 ft per second
per second)

Poorly constructed buildings begin to suffer damage at about …
10 percent g (or 0.1g).
A useful measure of strong-motion duration is termed…
… the bracketed duration.
-the time between the first and last peaks of motion that exceeds
a threshold acceleration value of 0.05g
Velocity refers to…
the rate of motion of the seismic waves as they travel through the
earth in inches per second. It’s VERY fast… the P-Wave travels at 7,000 – 18,000
mph, the S-Wave travels at 4,500 – 11,000 mph
Displacement:
the distance that points on the ground are moved from their initial
locations by the seismic waves, measured in inches.
Earthquake shaking is initiated by a fault slippage in the underlying rock. As the shaking propagates to the surface, it may be amplified, depending on …
…the intensity of shaking, the nature of the rock and, above all, the sur- face soil type and depth.
earthquake damage tends to be more severe in areas of
…
…soft ground.
Amplification
A relative increase in ground motion between one type of soil and
another, or an increase in building response as a result of resonance.
A rule of thumb is that the building period equals the number of stories divided by …
10; therefore, period is primarily a function of building height.
When a reinforced concrete structure experiences severe ground shaking, it begins to crack: this has the effect of …
…increasing the structure’s period of vibration: the structure is “softening”.
When a vibrating or swinging object is given further pushes that are also at its natural period, its vibrations increase dramatically in response to even rather small pushes and, in fact, its accelerations may increase as much as four or five times. This phenomenon is called …
…resonance.
buildings suffer the greatest damage from ground motion at a frequency close or equal to their own …
…natural frequency.
The amplification in building vibration is very undesirable. The possibility of it happening can be reduced by trying to ensure that the building period will not co- incide with that of the ground. Thus, on soft (long-period) ground, it would be best to design what type of building?
a short, stiff (short-period) building.








