EARTHQUAKE CATALOG COMPLETENESS
Frekuensi kejadian gempa yang terjadi di Indonesia selama beberapa dekade ini telah terekam secara detail oleh alat seismograph dan terdatabase. Beberapa organisasi yang fokus terhadap database ini adalah USGS dan IRIS. Melalui website mereka, kita mendapatkan begitu banyak database gempa dari puluhan tahun sebelumnya.
Dengan menggunakan database tersebut, kita bisa memodelkan seismisitas dari satu lokasi, sebagai contoh provinsi aceh, yang terilustrasikan pada gambar disamping.
Di laporan ini, saya menggunakan metode Gutenberg-Richter sebagai salah satu metode untuk menentukan Catalog Completeness yang akan di jelaskan secara lebih detail di laporan berikut.
https://firdausadnan.wordpress.com/wp-content/uploads/2010/11/report_firdaus1.pdf
Experimental Dynamics (Percobaan Dinamika Struktur)
Standard Nasional Indonesia (SNI) telah mengatur dan menentukan bagaimana menentukan fundamental period dari sebuah struktur bangunan, yaitu 0.1 x jumlah lantai bangunan x faktor lokasi. Sebagai contoh, fundamental period untuk gedung 5 lantai (seperti gambar di samping) adalah 0.1 x 5 x 1 (asumsi faktor koreksi lokasi adalah 1) = 0.5 second.
Proses penentuan fundamental period seperti diatas bukanlah berasal dari asumsi, tetapi telah melawati beberapa experiment di laboratorium. Para engineer membuat sebuah miniatur gedung yang representative seperti gedung yang sebenarnya, dan melakukan beberapa percobaan dengan menggunakan alat sensor sebagai menerima signal. Signal ini diolah di komputer dengan menggunakan software seperti MACEC atau LABVIEW.
Di percobaan ini, saya menggunakan software MACEC 3.1 yang terintegrasi dengan MATLAB 7. Untuk mendapatkan hasil yang diinginkan, saya melakukan 2 kali percobaan. Beberapa kendala yang dihadapi adalah keterbatasan jumlah sensor. Oleh karena itu, kita harus melakukan beberapa kali modifikasi posisi sensor, dan mengkombinasikannya di dalam software.
Berikut ini hasil laporan laboratorium yang telah saya lakukan. Anda dapat mendownloadnya melalui link berikut:
https://firdausadnan.wordpress.com/wp-content/uploads/2010/02/experimental-structural-dynamics.pdf
Jika ada pertanyaan atau komentar, dapat menghubungi saya di alikomeini@gmail.com atau fasilitas komentar di bawah ini.
1. Seismic Codes and Relevant Data Layer for Hazard and Risk Assessment
1.1 Description of National Code Development
Indonesia has developed the earth quake code since 27 years ago. It had aim to improve the regulation of the earth quake resistance for building which was interpreted in the standard code (Design Method of Earth quake Resistance for Buildings). This code was proposed by Beca Carer Hollings, Ferner Ltd and Indonesian’s expert engineers. The result of this investigation was published in “Indonesian Earth quake Studies” volume 1 until 7 at 1979. Based on this investigation, the hazard map was published for period 500 years. In the hazard map, the earth quake zone map of Indonesia is divided into 6 zones and it is classified by 2 (two) sub soil conditions type, stiff soil and soft soil.
Nowadays, there are many technologies and research to investigate the occurrences of earth quake much more details. The improving and developing of this research is published in the “Building Code” that must be fulfilled in order to generalize the design’s calculation and give a safety factor for buildings and users. Indonesia is a one of dangerous locations in the world as it has a lot of earth quake occurrences; hence the Indonesia government makes a regulation and reference for engineers to design a building and infrastructure by using a code which is called Design Method of Earth quake Resistance for Buildings – Indonesia Standard National 1726-02. This standard is intended as a replacement of Indonesian National Standard (SNI-03-1726-1989).
Indonesia government has started a new code after Tsunami disaster which was occurred 5 years ago. We were aware that the current code is not relevant anymore to be implemented for designing of building. Many buildings and infrastructures were destroyed by earth quake and tsunami due to lack of quality and wrong construction method. This code is being accomplished by government which consider higher safety factor including construction method for housing and high building. This is necessary to give knowledge for engineers and architects to build a building as well as new code.
1.2 Recent code situation
1.2.1 Elaboration of National Seismic Zoning Maps
Currently, Indonesia has three earthquake hazard maps issued by Department of Public Works. The first map is Peak Ground Acceleration (PGA) map at bedrock for 500 years return period in the Standard for Earthquake Resilience Planning Structure Building (SNI 03-1726-2002). This hazard map is used for designing general buildings. The second is the hazard maps for designing waterworks (dam). This map was developed by Theo F. Najoan and published by Research centre for Waterworks Department of Public Works. The third map is used for designing bridge and road construction published by Research Centre for Roads and Bridgeworks. This map is referred to the map developed by Theo F. Najoan with a return period of 50 and 100 years.
The map for PGA at bedrock in the SNI 03-1726-2002 (Figure 1e) was developing by averaging values from four seismic hazard maps developed by four different research groups in Indonesia(Figure 1a to 1d). This seismic hazard map was developed using total probability theorem (Cornel, 1968) and by applying area sources model (2-dimension model). This 2-dimension (2-D) model has some limitations in modeling the fault source geometries. Moreover, several great earthquake occurrences in Indonesia in the last two years inquire revision of seismic hazard parameters in SNI 03-1726-2002. These earthquake events must be considered in determining seismic hazard parameters especially maximum credible earthquake magnitude (MCE).
Figure 1. Indonesia Hazard Map from four researches and as in SNI 03-1726-2002.
1.2.2 Specification of Code Provisions
1.2.2.1. General Requirement.
This standard defines the effect of design earthquake that must be examined in the building structure design and various parts and components in general. Due to the effect of design earthquake, overall building structure must stay erected, albeit in near collapsing condition. The design earthquake is defined to have a reoccurrence period of 500 years, so its probability in the 50 years building life span is 10%.
The design requirements of earthquake resistant building structures defined in this standard do not apply for the following buildings:
– Building with uncommon structure system or buildings still requiring proving of their worthiness.
– Buildings using base isolation system to absorb earthquake effect on the upper structure.
– Civil Engineering Structures such as bridges, irrigation building, wall sand piers of harbor, off-shore oil structure, and other non-buildings.
– One storey house and other non-technical buildings.
This standard has a propose that the building structure which its earthquake resistance is designed conforming to this standard can function:
– To prevent human casualties by the collapse of building because of a strong earthquake
– To reduce building damage due to light to medium earthquake, so the building is repairable.
– To prevent tenant discomfort for building tenants during light to medium earthquakes.
– To maintain at all time vital services of building function.
1.2.2.2. Importance Factor
For various building categories, depending on the probability of building structure collapsing for the life and expected age of the building, the effect of design earthquake on it must be multiplied with a significance factor I (Importance Factor).
Building Category |
Significance Factor |
||
I1 |
I2 |
I (I1 x I2) |
|
General building, such as for residential, trade and office |
1.0 |
1.0 |
1.0 |
Monument and monumental buildings |
1.0 |
1.6 |
1.6 |
Post earthquake important buildings such as hospital, clean water installation, power plant, emergency rescue center, radio and television facilities. |
1.4 |
1.0 |
1.4 |
Buildings for storing dangerous goods such as gas, oil products, acid, toxic materials |
1.6 |
1.0 |
1.6 |
Chimneys, towered tanks |
1.5 |
1.0 |
1.5 |
Table 1. Importance factor
I1 = the significant factor to adjust the reoccurrence period of the earthquake related to probability adjustment of the earthquake occurrence for the life of the building.
I2 = Significant factor to adjust earthquake reoccurrence period related to the building age adjustment.
1.2.2.3. Regular and irregular building
A building structure is defined as a regular building under the following terms:
– Height of the building structure measured from lateral clamping level may not be more than 10 stories or 40 m.
– Shape of the building is rectangular without protrusion, if there is an protrusion, the length of the protrusion does not exceed 25% of the largest size of the building structure in the direction of the protrusion.
– The building structure map does not show any corner notch, if there is a notch, the length of the side of the notch does not exceed 15% of the largest size of the building structure in the notch side direction.
– The building structure system is formed by the lateral load bearer subsystems which direction is perpendicular to each other and parallel to orthogonal main axis of overall building structure map.
– The building structure system does not show a leap of the front plane, if a leap of the front plane, size of the structure map of the building protruding at each direction is no less than 75% of the largest size of structure map of the lower building part. In this case, roof house structure which is less than 2 storeys tall is not necessarily considered to cause front plane leap.
1.2.2.4. Ductility of the building structure and nominal earthquake loading
Building structure ductility factor (µ) is a ratio of maximum deflection to the building structure due to the effect of the design earthquake when reaching the condition of near collapsing (dm) and building structure deflection when the first yielding dy occurs, which is:
Building structure performance Level |
μ |
R |
f2 |
f |
Full Elastic |
1,0 |
1,6 |
1 |
1.6 |
Partial Elastic |
1,5 2,0 2,5 3,0 3,5 4,0 4,5 5,0 |
2,4 3,2 4,0 4,8 5,6 6,4 7,2 8,0 |
1.09 1.17 1.26 1.35 1.44 1.51 1.61 1.70 |
1.7 1.9 2.0 2.2 2.3 2.4 2.6 2.7 |
Full Ductile |
5,3 |
8,5 |
1.75 |
2.8 |
Table 2. Ductility for each performance level
Figure 2. Ductility curve
Where :
Ve = Maximum loading due to effect of design earthquake absorbable by a fully elastic building structure in the condition of near collapsing.
Vm = Maximum loading due to effect of design earthquake absorbable by a fully ductile building structure in the condition of near collapsing.
Vy = The loading that causes the first yielding in the building structure.
Vn = The nominal earthquake loading due to effect of design earthquake which must be examined in building structure design.
f1 = the load and material extra strength factor included I the building structure, f1 = 1.6
f2 = The structure extra strength factor
R = The earthquake reduction factor
1.2.2.5. Capacity Design
The earth quake code, which is called SNI 1726-02, explains the failure mechanism which is still in the safe zone due to earth quake load. This mechanism is called Side Sway Mechanism (picture 2) where the plastic-hinge only occurs on the edge of beams and columns. To reach this mechanism, the strong column weak beam must be fulfilled the capacity design. This concept explains that the columns must have nominal flexure capacity which is larger than beams. Side sway mechanism is expected in the design to prevent the collapse mechanism at the column where it is called as Soft Storey Mechanism (Picture 3).
figure 3. Side Sway Mechanism
figure 4. Soft storey Mechanism
In the Strong column weak beam concept, the capacity design needs a multiplier to enlarge the column capacity against beam, which is called Over-strength factor (OF). This concept could be interpreted in equilibrium as below:
Where:
∑Mc = Amount of column moments in the joint beam-column
∑Mg = Amount of beam moments in the joint beam-column
OF = Over-strength Factor value (6/5)
1.2.2.6. Type of soil and propagation of earthquake wave
Soil types are determined as hard soil, medium soil and soft soil. For the uppermost layer at a maximum thickness of 30 m, the requirement in the table is satisfied:
Soil Type |
Average shear wave propagation speed |
Average Standard Penetration Test Result N |
Average Non Flowing shear strength Su (kPa) |
Hard Soil |
Vs ≥ 350 |
N ≥ 50 |
Su ≥ 100 |
Medium Soil |
175 ≥ Vs ≥ 350 |
15 ≤ N < 50 |
50 ≤ Su < 100 |
Soft Soil |
Vs < 175 |
N < 15 |
Su < 50 |
|
Or, each profile with soft soil having total thickness of more than 3 m with PI > 20, wn ≥ 40%, and Su < 25 kPa |
||
Special Soil |
Requires special evaluation at each location |
Table 3. Shear wave velocity
The effect of design earthquake on the soil surface must be determined from the analysis result of earthquake wave propagation from the depth of the base rock to soil surface by using input earthquake movement with peak acceleration for base rock.
Zone |
Minimum |
Ao (g) |
Ao (g) Stiff |
Ao (g) |
1 |
0.03 |
0.04 |
0.05 |
0.08 |
2 |
0.1 |
0.12 |
0.15 |
0.2 |
3 |
0.15 |
0.18 |
0.23 |
0.3 |
4 |
0.2 |
0.24 |
0.28 |
0.34 |
5 |
0.25 |
0.28 |
0.32 |
0.36 |
6 |
0.3 |
0.33 |
0.36 |
0.38 |
Table 4. Peak ground acceleration for each seismic zone
Considering the short natural frequency period of 0 ≤ T ≤ 0.2 second, there is an uncertainty, both in soil movement characteristic or its structure ductility level, the earthquake response factor C is determined by the equation below:
– For T ≤ Tc ; C = Am
– For T > Tc ; C = Ar/T
Where : Ar = Am.Tc
Zone |
Hard Soil Tc = 0.5 sec |
Medium Soil Tc = 0.6 sec |
Soft Soil Tc = 1.0 sec |
|||
Am |
Ar |
Am |
Ar |
Am |
Ar |
|
1 |
0.10 |
0.05 |
0.13 |
0.08 |
0.20 |
0.20 |
2 |
0.30 |
0.15 |
0.38 |
0.23 |
0.50 |
0.50 |
3 |
0.45 |
0.23 |
0.55 |
0.33 |
0.75 |
0.75 |
4 |
0.60 |
0.30 |
0.70 |
0.42 |
0.85 |
0.85 |
5 |
0.70 |
0.35 |
0.83 |
0.50 |
0.90 |
0.90 |
6 |
0.83 |
0.42 |
0.90 |
0.54 |
0.95 |
0.95 |
Table 5. Acceleration value for each soil type
Figure 5. Response Spectra Graph for each zone
1.2.3 Basic Equation for Predicting the Equivalent Horizontal Forces
1.2.3.1. Limitation of fundamental natural frequency period
Fundamental period is basically able to be determined by using equation from UBC 97:
T = 0.0853 H3/4 (for steel frame)
T = 0.0731 H3/4 (for concrete frame)
T = 0.0488 H3/4 (for others frame)
Where H is total height of building
To prevent a usage of over flexible building structure, the fundamental natural frequency period T1 of the building structure must be limited, depending on the coefficient V for the Seismic zone where building is located and its storey total n is according to the equation.
T1 < V n
Where the coefficient V is defined according to table below:
Zone |
Coeff. (ζ) |
1 |
0.20 |
2 |
0.19 |
3 |
0.18 |
4 |
0.17 |
5 |
0.16 |
6 |
0.15 |
Table 6. multiplier of maximum natural period for each zone
According to the table above, it can be clearly seen that the critical zone (6) is expected to have lower period rather than other zones.
Fundamental natural frequency period of a regular building structure in each main axis direction can be determined using Rayleigh formula as follows:
Where :
Wi = The floor weight of the ith including corresponding live load
Fi = Equivalent static nominal earthquake loads
di = The horizontal deflection of the ith floor
g = Gravitational acceleration (9.8 m/sec2)
1.2.3.2. Eccentricity of center of gravity against the rotation center of storey floor
The center of gravity of storey floor of a building structure is the resultant point of dead load, including corresponding live load working at that floor. On the building structure design, the center of gravity is the resultant point of equivalent static load or dynamic earthquake force.
Storey level rotation center of a building structure is a point at the storey floor which if a horizontal load is working on it, the storey floor will not rotate, but only translates, while the other levels not experiencing horizontal load will all rotate and translate.
Between the center of gravity and the center of rotation, a designed eccentricity ed must be examined. If the largest horizontal size of the building structure a storey floor, measured perpendicular to earthquake loading direction, is stated as b, the designed eccentricity ed must be determined as follows:
– For 0 < e ≤ 0.3 b
ed = 1.5e + 0.05b or ed = e-0.05d
and selected between both which effect is the most determining for the examined building structure component or subsystem:
– For e> 0.3 b
Ed = 1.33e + 0.1b or ed = 1.17e – 0.1b
1.2.3.3 Equivalent static nominal earthquake load
A regular building structure can be designed against nominal earthquake loading due to effect of design earthquake in the direction of each main axis of the structure map, in form of equivalent static nominal earthquake load.
The equivalent static nominal basic shear load V occurring at the base level can be calculated according to the equation:
Where : C1 = The earthquake response factor
I = Importance factor
W1 = The total weight
R = earthquake reduction factor
Nominal basic shear load V must be distributed along the height of the building structure to be equivalent static nominal earthquake loads Fi working at the center of gravity at the ith level according to equation:
Where :
Wi = The floor weight of the ith including corresponding live load
Zi = The floor height of the ith floor measured from lateral clamping level.
If the ratio between the height of the building structure and its map size in the earthquake loading direction equals or exceeding 3, then 0.1 V must be considered as a horizontal loads centralized at the center of gravity of the uppermost level, while the remaining 0.9 V must be distributed along the height of the building structure to be equivalent static nominal earthquake load.
1.2.3.4. Service Limit Performance
Service limit performance of a building structure is defined by the inter-level deflection due the effect of design earthquake which limit the occurrence of steel yield and excessive concrete cracking. To satisfy this requirement, inter-level deflection calculated from the building structure deflection may not exceed 0.03/R of height of the respective level or 30 mm.
1.2.3.5 Ultimate Limit Performance
The ultimate limit performance of the building structure is determined by the deflection and maximum inter-level deflection of the building structure due to effect of design earthquake when the building structure is near collapsing. To limit the occurrence possibility of building structure collapsing which can cause human casualties and to prevent dangerous collisions between buildings or between earthquake load parts separated by separation space (dilatation clearance).
– For regular building structure
V = 0.7 R
– For irregular building structure
Where R is earthquake reduction factor of the building structure.
To satisfy the building structure ultimate limit performance requirements, in all conditions, the inter-level deflection calculated from the building structure deflection may not exceed 0.02 of the respective storey height.
1.2.3.6 Response Spectrum Analysis by SRSS
This approach permits the multiple modes of response of a building to be taken into account (in the frequency domain). This is required in many building codes for all except for very simple or very complex structures. The response of a structure can be defined as a combination of many special shapes (modes) that in a vibrating string correspond to the “harmonics”.
Combination methods include the following:
· absolute – peak values are added together
· square root of the sum of the squares (SRSS)
· complete quadratic combination (CQC) – a method that is an improvement on SRSS for closely spaced modes
In this report, I will compare the Equivalent static result with SRSS result.
The equilibrium of SRSS method is:
1.3 Elaboration of Further Information
1.3.1 General Information
Indonesia, located in Southeast Asia, is a nation consiting of over 13,000 islands (some publications cite more than 17,000 islands). Only 6000 of these islands are inhabited. The islands spread between the Indian and Pacific oceans, linking the continent of Asia and Australia. The main islands are Sumatera (473,606 sq.km), Kalimantan (539,460 sq.km), Sulawesi (189,216 sq.km), Irian Jaya (421,981 sq.km), and Java (132,187 sq.km). Indonesia shares the islands of Kalimantan with Malaysian, and Irian with Papua New Guinea.
Indonesia is recognized as archipelago’s country which has more than ten thousand islands. 60% of population is concentrating in the Java Island and the rest are distributed in Sumatra, Kalimantan, Sulawesi and Irian Island.
Most of big cities in Indonesia have big potential to have earth quake due to the location is near to the tectonic plate and active mountain.
Figure 6.population density in Indonesia
1.3.2 Geological and topographical maps
The maps below are drawing the geological and topographical condition in Indonesia. It is consisted of several of soil types for instance, metamorphic rock, Mesozoic formation and volcanic formation. It is caused by many active volcanos and many tectonic plates in Indonesia.
Figure 7. Geology map of Indonesia
Figure 8. Geology map of Sumatera Island
1.3.3 Government and Political conditions
Indonesia is a republic based on the 1945 constitution providing for a separation of executive, legislative, and judicial power. Substantial restructuring has occurred since President Suharto’s resignation in 1998 and the short, transitional Habibie administration in 1998 and 1999. The Habibie government established political reform legislation that formally set up new rules for the electoral system, the House of Representatives (DPR), the People’s Consultative Assembly (MPR), and political parties without changing the 1945 Indonesian constitution. After these reforms, the constitution now limits the president to two terms in office.
2 Seismic Forces for an Idealized RC Frame System
2.1 Analysis of concrete frame
2.1.1 Model of Structure
In this yellow project, the typical structure given for designing is a 4-storey building which is constructed by Reinforced concrete. The analysis uses a structure’s software (ETABS v.9.0.9). The dimension of frame elements and layout are explained as follows:
1. Column
|
2. Beam
|
3. Slab Slab is 16 cm |
|
Figure 9. Layout of building structure
2.1.2. Material Properties
In the etabs software, we could apply the material properties such as below:
Figure 10. Material properties
According to picture above,
– concrete density is 2500 kg/m3
– concrete Compression Strength is 2800000 kg/m2
– Reinforcement yield stress is 42000000 kg/m2
2.1.3 Load Cases
There are several load cases which are applied into account. These load cases are Dead Load (DL), Live Load (LL) and Earthquake Load (E).
The detail of each load case is calculated in the table below:
Table 7. Load Cases calculation
2.1.4 Equivalent static nominal earthquake load Calculation
Before calculating the shear force, we have to determine the weight at each storey which is calculated as table below:
Table 8. Weight distribution for each storey
According to the equivalent static equilibrium, the base shear for each seismic zone is
Table 9. Equivalent static distribution
Table 10. Shear force result for all zones
Figure 11. base Shear force distribution for each zone
Figure 12. Base Shear Force for each soil type
Table 11. eigen mode for each storey
Figure 13. mode shape for each mode
Table 12. SRSS calculation
Table 13. Base shear force based on SRSS
Figure 14. Base shear Force for zone 6
2.1.5 Axial Force, Shear Force and Bending Moment Diagram
According to the result from ETABS software, the forces and moment diagram are given as follows:
a. Dead Load (DL)
|
|
Axial Force |
Shear Force |
|
|
Bending Moment |
Figure 15. Load diagrams for Dead Load
b. Live Load (LL)
|
|
Axial Force |
Shear Force |
|
|
Bending Moment |
Figure 16. Load diagrams for Live Load
c. Earthquake Force
|
|
Axial Force |
Shear Force |
|
|
Bending Moment |
Figure 17. Load diagrams for Earthquake Load
3. Behavior of Building Types During Recent Earthquake
3.1 Recent Earthquakes
In this recent century, Indonesia has been impacted by a lot of Earthquakes every year. Most of big islands and cities in Indonesia have earth quake occurrences which cause small and big damage. There are many historical earth quake including magnitudes and intensities which were recorded by geologists.
Date |
Location |
Magnitude |
Fatalities |
Description |
|
1 |
1797 02 10 |
Sumatra |
8.4 |
>300 |
There was Tsunami that was particularly severe near Padang |
2 |
1833 11 25 |
Sumatra |
8.8-9.2 |
‘numerous’ |
a large tsunami that flooded the southwestern coast of the island There are no reliable records of the loss of life |
3 |
1861 02 16 |
Sumatra |
8.5 |
‘several thousand’ |
a devastating tsunami which led to several thousand fatalities. The earthquake was felt as far away as the Malay peninsula and the eastern part of Java |
4 |
1917 01 20 |
Bali |
|
1,500 |
|
5 |
1938 02 01 |
Banda Sea |
8.5 |
|
it was the ninth largest earthquake in the 20th century It generated Tsunamis of up to 1.5 metres, but no human lives appear to have been lost. |
6 |
1976 06 25 |
Papua |
7.1 |
5,000 |
|
7 |
1992 12 12 |
Flores Region |
7.8 |
2,500 |
|
8 |
2000 06 04 |
Southern Sumatra |
7.9 |
103 |
|
9 |
2002 10 10 |
Western New Guinea |
7.6 |
8 |
|
10 |
2002 11 02 |
Northern Sumatra |
7.4 |
3 |
|
11 |
2003 05 26 |
Halmahera |
7 |
1 |
|
12 |
2004 01 28 |
Seram |
6.7 |
|
|
13 |
2004 02 05 |
Western New Guinea |
7 |
37 |
|
14 |
2004 02 07 |
Western New Guinea |
7.3 |
|
|
15 |
2004 07 25 |
Southern Sumatra |
7.3 |
|
|
16 |
2004 11 11 |
Kepulauan Alor |
7.5 |
34 |
|
17 |
2004 11 26 |
Papua |
7.1 |
32 |
|
18 |
2004 12 26 |
Sumatra-Andaman Islands |
9.3 |
283,106 |
inundating coastal communities with waves up to 30 meters (100 feet) high |
19 |
2005 01 01 |
Off the West Coast of Northern Sumatra |
6.7 |
|
|
20 |
2005 02 19 |
Sulawesi |
6.5 |
|
|
21 |
2005 02 26 |
Simeulue |
6.8 |
|
|
22 |
2005 03 02 |
Banda Sea |
7.1 |
|
approximately 500 km from East Timor on March 2, 2005. Residents of Darwin, Australia felt the impact quite strongly, despite the epicenter being located approximately 140 km away |
23 |
2005 03 28 |
Northern Sumatra |
8.6 |
1,313 |
mostly on the island of Nias |
24 |
2005 04 10 |
Kepulauan Mentawai Region |
6.7 |
|
|
25 |
2005 05 14 |
Nias Region |
6.7 |
|
|
26 |
2005 05 19 |
Nias Region |
6.9 |
|
|
27 |
2005 07 05 |
Nias Region |
6.7 |
|
|
28 |
2005 11 19 |
Simeulue |
6.5 |
|
|
29 |
2006 01 27 |
Banda Sea |
7.6 |
|
The location was 200 km south of Ambon Island |
30 |
2006 03 14 |
Seram |
6.7 |
4 |
|
31 |
2006 05 16 |
Nias Region |
6.8 |
|
|
32 |
2006 05 26 |
Java |
6.3 |
5,749 |
36,299 people were injured, 135,000 houses damaged, and an estimated 1.5 million left homeless |
33 |
2006 07 17 |
Java |
7.7 |
730 |
its hypocentre at a depth of 48.6 km below the seabed |
34 |
2006 07 23 |
Sulawesi |
6.1 |
|
its hypocenter at a depth of 86.2 km |
35 |
2006 12 18 |
North Sumatra |
5.8 |
7 |
|
36 |
2007 01 21 |
Molucca Sea |
7.5 |
4 |
|
37 |
2007 03 06 |
Sumatra |
6.4, 6.3 |
68 |
hit near the northern end of Lake Singkarak in Sumatra, Indonesia, Over 60 fatalities and 460 serious injuries have been reported |
38 |
2007 08 09 |
Java |
7.5[2] |
|
The quake was located 70 miles (110 km) east-northeast of Jakarta, at a depth of 175 miles (282 km).[3] |
39 |
2007 09 12 |
Sumatra |
8.5, 7.9, 7.1 |
23 |
It caused buildings to sway in Jakarta, and some buildings were reported to have collapsed in the city of Bengkulu |
40 |
2008 02 20 |
Simeulue |
7.4 |
3 |
|
41 |
2008 02 25 |
Kepulauan Mentawai Region |
7.0, 6.4, 6.6 |
|
|
42 |
2008 11 16 |
Sulawesi |
7.5, 5.6 |
4 |
Four people were killed in the quake and 59 injured |
43 |
2009 01 04 |
West Papua |
7.6 |
4 |
ten buildings had been totally destroyed, including several hotels and the house of a government official |
44 |
2009 08 16 |
Siberut, Mentawai Islands |
6.7 |
|
The epicentre of the quake was located 43 kilometres (29 miles) southeast of Siberut Island off western Sumatra |
45 |
2009 09 02 |
Java |
7 |
15 |
killing at least 79 people, injuring over 1,250, and displacing over 210,000 |
46 |
2009 09 30 |
Sumatra |
7.6 |
1,117 |
around 135,000 houses were severely damaged, 65,000 houses were moderately damaged and 79,000 houses were slightly damaged |
47 |
2010 05 19 |
Sumatra |
7.2 |
Unreported |
It was one of a sequence of large earthquakes along the Sunda megathrust in 2000s |
Table 14. Maximum earthquake in Indonesia
Figure 18. Maximum Earthquake distribution map in Indonesia
|
3.2 Damage cases on 26 December 2004
There are some damage cases affected by earthquake in Indonesia. It is dependent on building stocks and vulnerability classes. In this report, I will describe some earthquake cases which occur several years ago.
The 2004 Indian Ocean earthquake was an undersea mega-thrust earthquake that occurred at 00:58:53 UTC on December 26, 2004, with an epicenter off the west coast of Sumatra, Indonesia. The quake itself is known by the scientific community as the Sumatra-Andaman earthquake.
The earthquake was caused by subduction and triggered a series of devastating tsunamis along the coasts of most landmasses bordering the Indian Ocean, killing over 230,000 people in fourteen countries, and inundating coastal communities with waves up to 30 meters high. It was one of the deadliest natural disasters in recorded history. Indonesia was the hardest hit, followed by Sri Lanka, India, and Thailand.
USGS recorded this event where we could find it in the USGS website as following below:
Magnitude |
9.1 |
Date-Time |
Sunday, December 26, 2004 at 00:58:53 (UTC) |
Sunday, December 26, 2004 at 7:58:53 AM |
|
Time of Earthquake in other Time Zones |
|
Location |
3.316°N, 95.854°E |
Depth |
30 km (18.6 miles) set by location program |
Region |
OFF THE WEST COAST OF NORTHERN SUMATRA |
Distances |
250 km (155 miles) SSE of Banda Aceh, Sumatra, Indonesia |
300 km (185 miles) W of Medan, Sumatra, Indonesia |
|
1260 km (780 miles) SSW of BANGKOK, Thailand |
|
1590 km (990 miles) NW of JAKARTA, Java, Indonesia |
|
Location Uncertainty |
horizontal +/- 5.6 km (3.5 miles); depth fixed by location program |
Parameters |
Nst=276, Nph=276, Dmin=654.9 km, Rmss=1.04 sec, Gp= 29°, |
Table 15. Earthquake on 26 December 2004
Numerous aftershocks were reported off the Andaman Islands, the Nicobar Islands and the region of the original epicenter in the hours and days that followed. The largest aftershock, which originated off the coast of the Sumatran island of Nias, registered a magnitude of 8.7.
The earthquake that generated the great Indian Ocean tsunami of 2004 is estimated to have released the energy of 23,000 Hiroshima-type atomic bombs, according to the U.S. Geological Survey (USGS).
The earthquake was the result of the sliding of the portion of the Earth’s crust known as the India plate under the section called the Burma plate. The process has been going on for millennia, one plate pushing against the other until something has to give. The result on December 26 was a rupture the USGS estimates was more than 600 miles (1,000 kilometers) long, displacing the seafloor above the rupture by perhaps 10 yards (about 10 meters) horizontally and several yards vertically. That doesn’t sound like much, but the trillions of tons of rock that were moved along hundreds of miles caused the planet to shudder with the largest magnitude earthquake in 40 years.
There are two types of damage cases over buildings and infrastructures due to earthquake and tsunami on 26 December 2004, which is:
a. Structural (Engineered) buildings.
b. Non structural (non-engineered) buildings.
c. Road Access
d. Port
e. Power supply
f. Telecommunication
g. Water Supply
h. Industrial
3.2.1 Structural (Engineered) buildings.
The causes of typical damage of reinforced concrete engineered buildings during the Sumatra earthquake in Banda Aceh were mostly due to vertical irregularities in certain RC buildings creating abrupt changes in stiffness and strength that may concentrate forces in an undesirable way. Also poor quality of concrete and detailing contributed to the collapse of those engineered buildings.
|
Figure 19. The most obvious damage occurred to Kuala Tripa hotel, a 5 story RC building. It suffered a “first soft story” collapse. The second and third floor was severely damaged because of the impact but the building as a whole did not collapse. The collapse was caused by poor detailing. |
|
Figure 20. Another visible collapse was a three story supermarket, the Pante Pirak. The collapse was due to poor quality of construction. |
|
Figure 21. Another building that partially collapsed was the office of the department of finance. One of the wings suffered a pancake type of collapse. From the damaged columns it can be seen that the detailing was poor. |
3.2.2 Non structural (non-engineered) buildings
The majority of the buildings that collapsed in Banda Aceh city, and villages in Lhok Nga, Krueng Raya, and Meulaboh city, are non engineered buildings consisting of two types. The first type is a one or two stories buildings made of burnt brick confined masonry using sand and Portland cement mortar. The roof mostly consists of galvanized iron sheets. All those buildings used RC “practical” columns and beams as confinement. The second type is timber construction consisting of a timber frame and also timber planks walls and usually use galvanized iron sheets as roof.
Almost none of the people’s housing, one to two story masonry buildings collapsed by the shaking, even though some had cracks in the walls. The destruction was caused by the tsunami forces.
Most of the buildings in the coastal areas consist of non-engineered timber structures and confined masonry structures. The ratio of those two types of structures is estimated to be 30 % to 70 %.
|
Figure 22. burnt brick confined masonry |
|
Figure 23. timber construction |
3.2.3 Road Access
Some roads in Banda Aceh were scoured by tsunami but the majority was still in tact. Most of the main roads in zone 1 were covered by huge amount of tsunami debris. Several parts of the road from Banda Aceh to Meulaboh were washed away by tsunami.
|
|
Figure 24. Some of the Damage of Roads and Bridges from Banda Aceh to Meulaboh |
Figure 25. Ulhue Lhe beach |
|
|
Figure 26. Lhok nga Beach |
Figure 27. Ulhue Lhe beach |
3.2.4 Bridges
In Banda Aceh, several bridges were destroyed, the one at Jl Iskandar Muda and the one leading to Lhok Nga. The Lhok Nga Bridge has a main span of 20 m and secondary span of 10 m made of galvanized steel frames. Both were dumped into the river. Along the road from Banda Aceh to Meulaboh (distance approx 270 km), several bridges were washed away by tsunami.
|
Figure 28. The Lhok Nga Bridge |
3.2.5 Ports
Generally, jetties and wharf of ports in Banda Aceh and in Kreung Raya as well as the jetty of the cement factory Lhok Nga were slightly damaged but could still function. Part of the platform of the jetty in Meulaboh was washed away by tsunami, but the supports were still in tact. The main building of the Ulhue Lhe harbor in Banda Aceh was damaged and only the frame remained.
|
Figure 29. Lhok Nga Cement Factory Jetty |
3.2.6 Power supply
Main Power generating plant in Banda Aceh was not affected by the shaking or tsunami. However, many distribution poles and wires in devastated areas collapsed.
|
Figure 30. Main Power generating plant in Banda Aceh |
3.2.7 Telecommunication
Some mobile phone antennas towers were dismantled by the tsunami and dragged up to 2 km from its foundations. Many telephone junction boxes were practically destroyed.
|
|
Figure 31. mobile phone antennas towers |
3.2.8 Water supply
Water Treatment plant in Banda Aceh was not affected by neither the shaking nor the tsunami, however, the piping systems were destroyed by scouring of the tsunami.
|
Figure 32. Water Treatment plant in Banda Aceh |
3.2.9 Industrial
|
Figure 33. Cement Factory, Lhok Nga |
|
Figure 34. Pertamina Oil Depot, Krueng Raya |
3.3 Building Code Before and After the Earthquake
The latest standard code used for earthquake is SNI 1726-2002 where it was published base on some references, which is:
1. SNI – 03-1726-1989, “Earthquake Resistance Design Method for Houses and Buildings”. It was published by the Office of the State Minister of Civil Works, The Directorate of the Technology Education and the Directorate General of Cipta Karya in 1997.
2. National Earthquake Hazards Reduction Program (NEHERP). This was proposed for Seismic Regulation for New Buildings and Other Structures in 1997, and FEMA 302 in 1998.
3. Uniform Building Code (UBC) 1997, Volume 2, for Structural Engineering Design Provisions, International Conference of Building Officials, April 1997.
In 2010, Indonesian Government has introduced a revised code which was developed by a team of Indonesian scientists in recognition of the serious earthquake risk Indonesia is prone to. It estimates the chances of ground shaking caused by earthquakes across Indonesia and revises national building standards to ensure that buildings and infrastructure are resilient to earthquakes in order to reduce the number of fatalities.
The new hazard map incorporates the lessons learnt from recent deadly earthquakes in Indonesia such as those in Sumatra and Java. It has been developed using better information and more advanced methodologies than previous earthquake hazard maps. It aims to support building standards, to be used to educate people about the earthquake risks that they face, and to help them to better protect themselves and their families from future earthquakes.
This code is being developed by expert teams. It will be accomplished soon as a new hazard map which considers all earthquake occurrences.
4. Elaborations of the Typical National Building Types and its Vulnerability Classes
4.1 Typical Building Types
Indonesia has a lot of building types which are still exist in every location even it is allocated in the critical earthquake zone. These building types are associated in some categories, which are:
1) Masonry
a. Adobes
b. Temples
c. Unreinforced with RC Floors
d. Reinforced or Confined
2) Reinforced Concrete
a. Frame with Moderate Level of Earthquake Resistant Design
b. Walls with Moderate Level of Earthquake Resistant Design
3) Steel
a. Steel Structures
b. LGS structures
4) Wood
a. Timber Structures
b. Bamboo Structures
4.2 Macroseismic Intensity Scale
The building types above are comparable with macroseismic intensity scale which is generated by EMS (European Macroseismic Scale)’98 and the world housing encyclopedia from EERI (Earthquake Engineering Research Institute).
This is a table for vulnerability class from EMS:
Figure 35. EMS (European Macroseismic Scale)’98
4.3 Vulnerability Class
4.3.1 Masonry
Most of buildings/housings in Indonesia are constructed by masonry. There are some pictures which describe typical masonry building in Indonesia.
|
|
Adobe
|
Stone building in Bali
|
|
|
Unreinforced building
|
Reinforced building
|
Figure 36. Vulnerability Class for masonry
If it is compared with world housing encyclopedia from EERI, the Seismic Vulnerability of Unreinforced Masonry Building is:
Structural and Architectural Features |
||||
Structural/ Architectural Feature |
Statement |
Most appropriate type |
||
TRUE |
FALSE |
N/A |
||
Lateral load path |
The structure contains a complete load path for seismic force effects from any horizontal direction that serves to transfer inertial forces from the building to the foundation. |
☐ |
☑ |
☐ |
Building Configuration |
The building is regular with regards to both the plan and the elevation. |
☑ |
☐ |
☐ |
Roof construction |
The roof diaphragm is considered to be rigid and it is expected that the roof structure will maintain its integrity, i.e. shape and form, during an earthquake of intensity expected in this area. |
☐ |
☑ |
☐ |
Floor construction |
The floor diaphragm(s) are considered to be rigid and it is expected that the floor structure(s) will maintain its integrity during an earthquake of intensity expected in this area. |
☐ |
☐ |
☑ |
Foundation performance |
There is no evidence of excessive foundation movement (e.g. settlement) that would affect the integrity or performance of the structure in an earthquake. |
☐ |
☑ |
☐ |
Wall and frame structures-redundancy |
The number of lines of walls or frames in each principal direction is greater than or equal to 2. |
☑ |
☐ |
☐ |
Wall proportions |
Height-to-thickness ratio of the shear walls at each floor level is: |
☐ |
☑ |
☐ |
Less than 25 (concrete walls); |
||||
Less than 30 (reinforced masonry walls); |
||||
Less than 13 (unreinforced masonry walls); |
||||
Foundation-wall connection |
Vertical load-bearing elements (columns, walls) are attached to the foundations; concrete columns and walls are doweled into the foundation. |
☐ |
☐ |
☑ |
Wall-roof connections |
Exterior walls are anchored for out-of-plane seismic effects at each diaphragm level with metal anchors or straps |
☐ |
☐ |
☑ |
Wall openings |
The total width of door and window openings in a wall is: |
☐ |
☑ |
☐ |
For brick masonry construction in cement mortar : less than ½ of the distance between the adjacent cross walls; |
||||
For adobe masonry, stone masonry and brick masonry in mud mortar: less than 1/3 of the distance between the adjacent cross walls; |
||||
For precast concrete wall structures: less than 3/4 of the length of a perimeter wall. |
||||
Quality of building materials |
Quality of building materials is considered to be adequate per the requirements of national codes and standards (an estimate). |
☐ |
☑ |
☐ |
Quality of workmanship |
Quality of workmanship (based on visual inspection of few typical buildings) is considered to be good (per local construction standards). |
☐ |
☑ |
☐ |
Maintenance |
Buildings of this type are generally well maintained and there are no visible signs of deterioration of building elements (concrete, steel, timber) |
☐ |
☑ |
☐ |
Other |
|
☐ |
☑ |
☐ |
Table 16. Structural and Architectural Features
Seismic Features |
|||
Structural Element |
Seismic Deficiency |
Earthquake Resilient Features |
Earthquake Damage Patterns |
Wall |
1. Clay-brick with very low compressive strength 2. The quality of clay-brick varies depends on the local clay-soil material 3. The clay-brick material is very brittle and doesn’t have any ductility. |
|
Shear crack, flexure crack or combination of both in clay brick walls. |
Frame (columns, beams) |
|
|
|
Roof and floors |
Timber truss system for roofing without any special connection with the clay brick walls. |
|
The roof sliding off from the clay brick walls. |
Table 17. Seismic Features
Overall Seismic Vulnerability Rating
Vulnerability |
high |
medium-high |
medium |
medium-low |
low |
very low |
|
very poor |
poor |
moderate |
good |
very good |
excellent |
Vulnerability Class |
A |
B |
C |
D |
E |
F |
☑ |
☐ |
☑ |
☐ |
☐ |
☐ |
Table 18. Overall Seismic Vulnerability Rating
4.3.2 Reinforced Concrete
|
|
Frame with Moderate Level of Earthquake Resistant Design
|
Wall with Moderate Level of Earthquake Resistant Design
|
Figure 37. Vulnerability Class for Reinforced Concrete
4.3.3 Steel Structure
|
|
Steel Structure
|
LGS (Light Gauge Steel) structure
|
Figure 38. Vulnerability Class for Steel
4.3.4 Timber Building
|
|
Timber structure
|
Bamboo Structure
|
Figure 39. Vulnerability Class for Timber
4.4 Damage Grades
According to EMS’98, there are some damage grades which are used to investigate the certain condition of buildings after earthquake occurrences.
|
|
Figure 40. Damage Grades according to EMS’98
4.4.1 Masonry
After earthquake occurrence, some buildings were devastated and destroyed by earthquake over some masonry buildings and historical buildings. These are some documentation which explains some damage cases in the masonry building types.
|
|
||||||||||||||||||||||||||||||
Adobe
|
Unreinforced building
|
||||||||||||||||||||||||||||||
|
|
||||||||||||||||||||||||||||||
Stone building (temple)
|
Reinforced building
|
Figure 41. Damage grades for masonry
4.4.2 Reinforced Concrete
|
|
|||||||||||||||
Frame with Moderate Level of Earthquake Resistant Design
|
Figure 41. Damage grades for Reinforced Concrete
4.4.3 Steel
|
|
||||||||||||||||||||||||||||||
Steel Structure
|
LGS Structure
|
Figure 42. Damage grades for Steel
4.4.4 Timber
|
|
||||||||||||||||||||||||||||||
Timber house
|
Bamboo house
|
Figure 43. Damage grades for Timber
4.5 After Earthquake
4.5.1 Masonry
Some International Organizations and countries donated some money to help reconstruction and retrofit program in Indonesia after Earthquake disaster. They just consider constructing a reinforced building for houses as it is usable for long time and the materials have to be provided by local area to make it much easier to build. The type of building has to be easy improved if the house’s owner needs to expand the size of house. These are some documentation of buildings which were reconstructed after earthquake and tsunami disaster.
|
|
Figure 44. Reinforced Concrete for houses from Germany Government |
4.5.2 Reinforced Concrete
|
|
Figure 45. Frame with Moderate Level of Earthquake Resistant Design |
4.5.3 Steel
|
|
Figure 46. LGS structure for houses |
4.5.4 Timber
|
|
Figure 47. Building Stock is still exist due to bracing |
Figure 48. Timber houses |
5. Conclusions
According to descriptions above, we could conclude some recommendations, which are:
1) New Earthquake and Tsunami Code are being developed by expert team who is responsible to conclude it accordance with occurrence of these catastrophes.
2) Shear forces distribution from SRSS has inclination to be soft storey at 2nd floor. It is different from Shear forces distribution from equivalent static inclination.
3) Mode shapes for each direction are relatively similar as the shape of building is rectangular and position of elements is symmetric.
4) Base on figure 11, shear force distribution for hard is relatively higher compare to medium and soft soil at zone 3, 4, 5 and 6.
5) Base on figure 12, it can be clearly seen that shear force distribution for hard, medium and soft soil at zone 3, 4, 5 and 6 have the same inclination, where as zone 1 and 2 is relatively different inclination compare to other zones.
6) Vulnerability class is important to be developed in each country where it has a lot of earthquake occurrences.
7) Bracing elements are really important to be constructed in simple (traditional) house which is used to resist earthquake load.
8) Routine maintenance for steel building should be done to investigate the construction element from crack or collapse due to earthquake occurrences. This is important as the steel elements are covered by concrete which is not visually seen.
9) For building which is near to Tsunami region, we should design it by considering minimum two storey building where the people could escape from low tsunami. At least, the high of the first storey is higher than maximum flood level.
10) LGS (Light Gauge Steel) elements are used as main frame of building as long as the type of building is simple structure and it has rigid foundation.
11) Quality and quantity of shear reinforcement should be improved for residential building and high rise building.
12) Additional beam and column are needed to install near to the opening section to enlarge the building capacity.
13) For ancient building (temple) should be conducted a retrofit treatment to increase the building capacity for long period.
6. References
1. Indonesia National Standard for earthquake 1726-2002.
2. World housing encyclopedia from EERI (Earthquake Engineering Research Institute), the Seismic Vulnerability of Unreinforced Masonry Building.
3. Macroseismic intensity scale by EMS (European Macroseismic Scale)’98.
4. Uniform Building Code (UBC) 1997
5. Computers and Structures, Inc, Berkeley, California, USA, ETABS v.9.0.9 software manual, November 2005.
6. Sumatera Earthquake 26 December 2004, Teddy Boen.
STRUCTURES IN EARTHQUAKE REGIONS (Deskripsi SNI gempa Indonesia)
Pasca bencana gempa bumi dan Tsunami yang terbesar di Indonesia, bahkan mungkin salah satu terbesar di dunia yang terjadi pada tanggal 26 Desember 2004, pemerintah Indonesia bekerjasama dengan peneliti2 Indonesia dari berbagai Universitas dan Institusi, seperti ITB, UI, UGM, LAPI dan BMKG melakukan penelitian ulang terhadap SNI Gempa dan struktur gedung yang selama ini dijadikan acuan oleh engineer.
Berikut ini saya mendeskripsikan SNI 1726 – 2002 gempa terkini yang masih di gunakan oleh engineer Indonesia dan beberapa kasus kerusakan gedung dan infrastruktur akibat gempa dibeberapa tempat di Indonesia.
Anda dapat mendownloadnya melalui link berikut ini.
https://firdausadnan.wordpress.com/wp-content/uploads/2010/02/structures-in-earthquake-regions.pdf
Jika ada pertanyaan atau komentar, dapat menghubungi saya di alikomeini@gmail.com atau fasilitas komentar di bawah ini.
pushover analysis (Analisa PushOver dengan ETABS 2000)
Berbicara tentang bangunan tinggi dan beban gempa, berarti kita juga sedang membahas pushover analysis dimana kita mengasumsikan bahwa sebuah gedung di dorong oleh beban lateral secara cyclic dan continue sampai gedung tersebut mengalami kondisi kritis.
Konsep ini dilakukan untuk menemukan maksimum daya dukung gedung terhadap beban gempa. Beberapa parameter yang dapat digunakan sebagai acuan daya dukung adalah displacement, base shear dan performance point.
Sebagai seorang engineer, kita memeliki beberapa metode untuk mendesain sebuah gedung sesuai dengan keinginan arsitek, budget, maupun fungsi gedung itu sendiri.
Energi Dissipasi berkaitan erat dengan daktilitas dan base shear yang di peroleh dari pushover analisis. Ada 3 tipe daktilitas yang digunakan sebagai penentu performance level dari sebuah building, antara lain:
- Full Elastic; small displacement, tetapi high base shear, artinya, high budget/cost, sehingga dimensi struktur overstrength.
- Partial Elastic; intermediate displacement dan base shear, artinya, middle cost, biasanya engineer mendisain gedung berada di kondisi ini.
- Full ductile; large displacement, tetapi low base shear, artinya, low budget, tetapi failure tidak diizinkan terhadap struktur.
Untuk lebih lengkapnya, saya akan mengulasnya di sebuah report yang berkaitan dengan pushover dimana kasus yang saya ambil adalah di wilayah Turki. Sebenarnya saya kurang tertarik mengambil kasus di Turki, karena kasus2 serupa banyak terjadi di Indonesia, tetapi berhubung ini adalah tugas wajib dari dosen, dengan sedikit terpaksa saya melakukannya. 😀
Report tersebut dapat di download melalui link di bawah ini
https://firdausadnan.wordpress.com/wp-content/uploads/2010/02/pushover-analysis.pdf
Jika ada pertanyaan atau komentar, silahkan hubungi saya langsung ke email alikomeini@gmail.com, atau tulis komen melalui fasilitas komentar di bawah ini.
wassalam
Advanced Mathematics
Sebelum kita memulai artikel ini, dari judul di atas dapat kita rasakan getaran-getaran yang membuat kita malas untuk mempelajarinya. Kalau boleh jujur, saya juga sampai saat ini masih merasa gerah untuk mendalaminya. Untuk itu, mari kita pelajari bersama-sama konsep dasar dari Advanced Mathematics.
Dalam artikel ini, saya tidak menjelaskan seluruh teori matematika yang tentu saja akan sangat membosankan dan kurang efektif dalam implemetasinya. Oleh karena itu, saya hanya akan memberikan beberapa dasar advanced mathematics dan contoh-contoh penerapannya dalam ilmu rekayasa Gempa.
Beberapa dasar matematika yang harus kita pelajari antara lain :
- Differential Equation
- Series Fourier
- Partial Differential Equation
- Finite Differential Method
Dan beberapa software yang akan kita pelajari antara lain :
- Maple
- Java
Seismic Engineering
Artikel ini merupakan aplikasi dari beberapa ilmu terapan yang sedang kita pelajari. Gempa bumi adalah barang yang tidak asing lagi di Indonesia. Dia mudah dijumpai disetiap sudut kota dan desa. Setiap kehadirannya, selalu membuat kita khawatir dan gelisah. Mengapa dia tidak pernah membuat kita bahagia ? Karena, setiap saat dia datang, akan membuat bumi ini berguncang yang bisa menyebabkan kerusakan ringan sampai kehancuran total terhadap tempat tinggal kita. Konsekuensinya adalah, akan banyak menimbulkan korban jiwa dan harta.
Tujuan utama tutorial ini adalah menganalisa data-data gempa sebelumnya, melakukan pemetaan (hazard map) dan menghasilkan Ground Motion Prediction Model (GMPM) dengan persamaan Attenuation yang kita peroleh dari data Time History yang ada.
Beberapa tahap yang harus kita lalui antara lain :
- Identifikasi parameter-parameter utama (Hazard Parameters)
- Magnitude dan Intensitas Earthquake
- Jalur patahan
- Mekanisme patahan
- Kedalaman sumber gempa bumi
- Database gempa bumi, lengkap dengan koordinat
- Seismic Action Classes (SAC)
- Definisi SAC dan Seismicity Model
- Menentukan tipe spektrum
- Lokasi gempa terhadap kota-kota besar
Applied Geotechnical
Sebelum kita mempelajari Seismic Monitoring, terlabih dahulu kita harus mengetahui tentang konsep dasar ilmu geologi dan geoteknik. Mengapa ? Karena gelombang Gempa bumi menjalar melalui lapisan kulit bumi dimana lapisan-lapisan kulit bumi tidaklah seragam di setiap tempat.
Di dalam tutorial ini, kita akan sedikit membahas tentang mekanika tanah, landslide dan yang lebih utama adalah phenomena Soil Liquefaction. Penomena ini banyak kita jumpai di daerah pantai Barat Sumatera dan pantai Selatan Jawa. Lebih lanjutnya, akan kita bahas pada bab Soil Liquefaction.
Berikut ini detail tutorial yang akan saya berikan, antara lain :
- Dasar-dasar mekanika tanah
- Teori Landslide dan stabilitas tanah
- Soil Liquefaction
- Daya dukung pondasi terhadap beban getaran
- Site Amplification
Non-Linear Analyse
Well, sejujurnya, ini materi sangat complicated dan membingungkan. Tapi mari kita bahas bersama-sama mengenai perilaku struktur bangunan secara Non-Linear. Mengapa kita harus mempelajarinya ? Karena, perilaku bangunan ketika menerima beban gempa adalah non-linear, terutama di daerah-daerah rawan gempa.