7
@ IJTSRD | Available Online @ www ISSN No: 245 Inte R Study on Comparison UB Department of Civ Yango ABSTRACT This study present the comparison fundamental period generated from Equ Force Procedure by applying the pro building codes, UBC-97 and ASCE-7-0 common residential buildings of standa A sample three story building with two (Yangon and Mandalay regions) and types was subjected to code-complian design calculations are processed by han Furthermore, the comparison of result response acceleration of each codes wil design response spectrum curve. F investigated, the UBC was found to be more conservative than ASCE-7-05. Ty a jurisdiction develops its own build ASCE 7 edition is frequently adopted. the comparisons presented remain releva a local jurisdiction develops its own buil Keywords: Structural period, Equivalen procedure, Response acceleration spectr I. INTRODUCTION In the framework of seismic risk as mitigation, the estimation of fundamen buildings is an important issue both for buildings and performance assessmen ones. Depending on mass and fundamental period is a global describing the behavior of building u loads. For this reason, it is easily and d to determinate the global demands on a to a given seismic input. Moreover, the fundamental period of buildings is use possible resonance phenomena between w.ijtsrd.com | Volume – 2 | Issue – 4 | May-Jun 56 - 6470 | www.ijtsrd.com | Volum ernational Journal of Trend in Sc Research and Development (IJT International Open Access Journ n of Structural Fundamental Pe BC -97 and ASCE 7-05 Htun Myint vil Engineering, Yangon Technological Universi on, Republic of the Union of Myanmar of structural uivalent Lateral ovision of two 05, to the most ard occupancy. seismic zones different soil nt. All of the nd calculation. t, such as the ll present with For all cases e significantly ypically, when ding code, an Consequently, ant even when lding code. nt lateral force ra ssessment and ntal period of design of new nt of existing stiffness, the characteristic under seismic directly usable a structure due e estimation of eful to identify n buildings and soil vibration. The vibration concrete (RC) buildings is af such as structural regularity, bays, dimensions of membe properties and position, load reasons, a reliable estimatio period of buildings is not eas in the design of new buildings existing ones, it is not a pr analyzing the structural mod this issue, several earthquake formula in order to estimate th buildings starting from characteristics such as heigh material type. Traditionally th worldwide by seismic codes regression analysis of values numerical and empirical ap calculations presented in this with hand calculations. Th concluded that UBC -97 is mo cases, however, the result conclusive enough for struct evaluating the two codes. II. SITE INFORMATIONS In this study, the compari fundamental period upon a building within two building UBC-97 will be subscribed. T 30 ft width and 35 ft in le height above the ground is structure is standard resi considered that at two seism Mandalay regions with varia n 2018 Page: 1198 me - 2 | Issue 4 cientific TSRD) nal eriod within ity n period of reinforced ffected by many factors number of storeys and er sections, infill panel d levels, etc. For these on of the fundamental sy to carry out and, both s or in the assessment of riori known (i.e. before el at hand). To address e design codes provide he fundamental period of m their typological ht, framing system and he expressions provided have been obtained by s estimated using both pproaches. All of the s paper are carried out his comparative study ore conservative in some ts presented are not tural designers who are ison of the structural three stories residential codes ASCE 7-05 and The proposed building is ngth. The typical floor s 36 ft. The proposed idential building and mic zones Yangon and able soil types A to E.

Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05

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This study present the comparison of structural fundamental period generated from Equivalent Lateral Force Procedure by applying the provision of two building codes, UBC 97 and ASCE 7 05, to the most common residential buildings of standard occupancy. A sample three story building with two seismic zones Yangon and Mandalay regions and different soil types was subjected to code compliant. All of the design calculations are processed by hand calculation. Furthermore, the comparison of result, such as the response acceleration of each codes will present with design response spectrum curve. For all cases investigated, the UBC was found to be significantly more conservative than ASCE 7 05. Typically, when a jurisdiction develops its own building code, an ASCE 7 edition is frequently adopted. Consequently, the comparisons presented remain relevant even when a local jurisdiction develops its own building code. Htun Myint "Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-4 , June 2018, URL: https://www.ijtsrd.com/papers/ijtsrd14274.pdf Paper URL: http://www.ijtsrd.com/engineering/civil-engineering/14274/study-on-comparison-of-structural-fundamental-period-within-ubc--97-and-asce-7-05/htun-myint

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Page 1: Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05

@ IJTSRD | Available Online @ www.ijtsrd.com

ISSN No: 2456

InternationalResearch

Study on Comparison of StrucUBC

Department of Civil Engineering, Yangon Technological UniversityYangon, Republic of the Union of Myanmar

ABSTRACT This study present the comparison of structural fundamental period generated from Equivalent Lateral Force Procedure by applying the provision of two building codes, UBC-97 and ASCE-7-05, to the most common residential buildings of standard occupancy. A sample three story building with two seismic zones (Yangon and Mandalay regions) and different soil types was subjected to code-compliant. All of the design calculations are processed by hand calculation. Furthermore, the comparison of result, such as the response acceleration of each codes will present with design response spectrum curve. For all cases investigated, the UBC was found to be significantly more conservative than ASCE-7-05. Typically, when a jurisdiction develops its own building code, an ASCE 7 edition is frequently adopted. Consequently, the comparisons presented remain relevant even when a local jurisdiction develops its own building code. Keywords: Structural period, Equivalent lateral force procedure, Response acceleration spectra I. INTRODUCTION In the framework of seismic risk assessment and mitigation, the estimation of fundamental period of buildings is an important issue both for design of new buildings and performance assessment of existing ones. Depending on mass and stiffness, the fundamental period is a global characteristic describing the behavior of building under seismic loads. For this reason, it is easily and directly usable to determinate the global demands on a structure due to a given seismic input. Moreover, the estimation of fundamental period of buildings is useful to identify possible resonance phenomena between buildings and

@ IJTSRD | Available Online @ www.ijtsrd.com | Volume – 2 | Issue – 4 | May-Jun 2018

ISSN No: 2456 - 6470 | www.ijtsrd.com | Volume

International Journal of Trend in Scientific Research and Development (IJTSRD)

International Open Access Journal

Study on Comparison of Structural Fundamental Period withinUBC -97 and ASCE 7-05

Htun Myint Department of Civil Engineering, Yangon Technological University

Yangon, Republic of the Union of Myanmar

This study present the comparison of structural fundamental period generated from Equivalent Lateral Force Procedure by applying the provision of two

05, to the most common residential buildings of standard occupancy.

mple three story building with two seismic zones (Yangon and Mandalay regions) and different soil

compliant. All of the design calculations are processed by hand calculation. Furthermore, the comparison of result, such as the

sponse acceleration of each codes will present with design response spectrum curve. For all cases investigated, the UBC was found to be significantly

05. Typically, when a jurisdiction develops its own building code, an

edition is frequently adopted. Consequently, the comparisons presented remain relevant even when a local jurisdiction develops its own building code.

Structural period, Equivalent lateral force procedure, Response acceleration spectra

In the framework of seismic risk assessment and the estimation of fundamental period of

buildings is an important issue both for design of new buildings and performance assessment of existing ones. Depending on mass and stiffness, the fundamental period is a global characteristic

r of building under seismic loads. For this reason, it is easily and directly usable to determinate the global demands on a structure due to a given seismic input. Moreover, the estimation of fundamental period of buildings is useful to identify

esonance phenomena between buildings and

soil vibration. The vibration period of reinforced concrete (RC) buildings is affected by many factors such as structural regularity, number of storeys and bays, dimensions of member sections, infill panel properties and position, load levels, etc. For these reasons, a reliable estimation of the fundamental period of buildings is not easy to carry out and, both in the design of new buildings or in the assessment of existing ones, it is not a priori known (i.e. beforeanalyzing the structural model at hand). To address this issue, several earthquake design codes provide formula in order to estimate the fundamental period of buildings starting from their typological characteristics such as height, framing system and material type. Traditionally the expressions provided worldwide by seismic codes have been obtained by regression analysis of values estimated using both numerical and empirical approaches.calculations presented in this paper are carried out with hand calculations. This comparative study concluded that UBC -97 is more conservative in some cases, however, the results presented are not conclusive enough for structural designers who are evaluating the two codes.

II. SITE INFORMATIONS In this study, the comparison of the structural fundamental period upon a threebuilding within two building codes ASCE 7UBC-97 will be subscribed. The proposed building is 30 ft width and 35 ft in length. The typical floor height above the ground is 36 ft. The proposed structure is standard residential building and considered that at two seismic zones Yangon and Mandalay regions with variable soil types A to E.

Jun 2018 Page: 1198

www.ijtsrd.com | Volume - 2 | Issue – 4

Scientific (IJTSRD)

International Open Access Journal

tural Fundamental Period within

Department of Civil Engineering, Yangon Technological University

soil vibration. The vibration period of reinforced concrete (RC) buildings is affected by many factors such as structural regularity, number of storeys and bays, dimensions of member sections, infill panel

s and position, load levels, etc. For these reasons, a reliable estimation of the fundamental period of buildings is not easy to carry out and, both in the design of new buildings or in the assessment of existing ones, it is not a priori known (i.e. before

ing the structural model at hand). To address this issue, several earthquake design codes provide formula in order to estimate the fundamental period of buildings starting from their typological characteristics such as height, framing system and

erial type. Traditionally the expressions provided worldwide by seismic codes have been obtained by regression analysis of values estimated using both numerical and empirical approaches. All of the calculations presented in this paper are carried out

hand calculations. This comparative study 97 is more conservative in some

cases, however, the results presented are not conclusive enough for structural designers who are

the comparison of the structural fundamental period upon a three stories residential

two building codes ASCE 7-05 and 97 will be subscribed. The proposed building is

30 ft width and 35 ft in length. The typical floor ound is 36 ft. The proposed

structure is standard residential building and considered that at two seismic zones Yangon and Mandalay regions with variable soil types A to E.

Page 2: Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05

International Journal of Trend in Scientific Research and Development (IJTSRD) ISSN: 2456-6470

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The earthquake loads are considered according to ASCE7-05, UBC-97 and MNBC code respectively. The structural members for reinforced concrete are designed according to ACI 318-05.

.

Fig.1. Proposed 3-storeyed residential building (Typical floor plan)

III. Design spectra cases

Sample building described in figure 1 to gain insight on the effect of various parameters and to verify the results using hand calculations. It is a3- story reinforced concrete building with all columns of 14"x14" and beams of 12"x12" cross-sections. According to the variable soil classes and different seismic zones, there are 10 spectra case for standard building. The following table.1 present the design spectra cases with it’s required seismic coefficients.

Table1 Design Spectra Cases

Cas

e

Sit

e C

lass

Sei

smic

R

egio

n UBC-97

ASCE-7-05

Seismic zone

Ca Cv SS S1 Fa Fv

1 A Yangon 2B 0.16 0.16 0.77 0.31 0.8 0.8

2 B Yangon 2B 0.2 0.2 0.77 0.31 1 1

3 C Yangon 2B 0.24 0.32 0.77 0.31 1.091 1.489

4 D Yangon 2B 0.28 0.4 0.77 0.31 1.191 1.777

5 E Yangon 2B 0.34 0.64 0.77 0.31 1.173 2.754

6 A Mandalay 4 0.3 0.32 2.01 0.8 0.8 0.8

7 B Mandalay 4 0.4 0.4 2.01 0.8 1 1

8 C Mandalay 4 0.4 0.56 2.01 0.8 1 1.3

9 D Mandalay 4 0.44 0.64 2.01 0.8 1 1.5

10 E Mandalay 4 0.36 0.96 2.01 0.8 0.9 2.42.4

Page 3: Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05

International Journal of Trend in Scientific Research and Development (IJTSRD) ISSN: 2456

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IV. COMPARISON OF STRUCTURAL PERIOD

Table1 Comparison of structural period

According to variable soil profiles and different seismic zones, using the formulation of fundamental period ( T ) with two codes UBC -97 and ASCE 7the study is resulted into 10 cases. Each cases have different soil type and variable seismic zone tharesult the different initial and short period (also with different spectral acceleration even though they have same story height, material properties and structural fundamental period. The most significant result occurs at Case 10 with soil type E and seismic zone 4. The value of short period is greater than 1 second in both codes.

Case UBC 97

T Ts

1 0.441 0.4000

2 0.441 0.4000

3 0.441 0.5333

4 0.441 0.5714

5 0.441 0.7529

6 0.441 0.4267

7 0.441 0.4000

8 0.441 0.5600

9 0.441 0.5818

10 0.441 1.0667

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RAL PERIOD

According to variable soil profiles and different seismic zones, using the formulation of fundamental

97 and ASCE 7-05, the study is resulted into 10 cases. Each cases have different soil type and variable seismic zone that result the different initial and short period (Ts and To ) also with different spectral acceleration even though they have same story height, material properties and structural fundamental period. The most significant

ype E and seismic zone 4. The value of short period is greater than 1

V. COMPARISON OF RESPONS

In this result, the initial period is 0.0804s and short period is 0.4018s. According to the above table, for soil type A with seismic zone 2B, the result of the result of the spectral acceleration is not differ too much for both codes.

0.00000.05000.10000.15000.20000.25000.30000.35000.40000.4500

00.511.522.533.544.5

Spec

tral

acc

eler

atio

n

Period ( second )

Comparison of design response spectrum for Case 1

UBC 97 ASCE

To T Ts

0.0800 0.294 0.4018

0.0800 0.294 0.4029

0.1067 0.294 0.5495

0.1143 0.294 0.6007

0.1506 0.294 0.9452

0.0853 0.294 0.3980

0.0800 0.294 0.3980

0.1120 0.294 0.5174

0.1164 0.294 0.5970

0.2133 0.294 1.0614

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OMPARISON OF RESPONSE SPECTRA CASES

In this result, the initial period is 0.0804s and short period is 0.4018s. According to the above table, for

type A with seismic zone 2B, the result of the result of the spectral acceleration is not differ too

4.555.56

Period ( second )

Comparison of design response spectrum for Case 1

UBC-97

ASCE-7-05

ASCE-7-05

s To

0.4018 0.0804

0.4029 0.0806

0.5495 0.1099

0.6007 0.1201

0.9452 0.1890

0.3980 0.0796

0.3980 0.0796

0.5174 0.1035

0.5970 0.1194

1.0614 0.2123

Page 4: Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05

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In this result, the initial period is 0.0806s and short period is 0.4029s. The result show that for soil tyof seismic zone 2B ( Yangon ), the response of both codes difference is not to much.

In this result, the initial period is 0.1099s and short period is 0.5495s. The response acceleration value of Case 3 with soil type C at seismic zone 2B ( Yangon describe that the response of UBC – 97 is greater than ASCE 7- 05 at initial period and short period (

0.0000

0.1000

0.2000

0.3000

0.4000

0.5000

0.6000

00.511.522.533.544.555.56

Spec

tral

acc

eler

atio

n

Period ( second )

Comparison of response spectrum for Case 2

UBC

ASCE

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In this result, the initial period is 0.0806s and short period is 0.4029s. The result show that for soil type B of seismic zone 2B ( Yangon ), the response of both

In this result, the initial period is 0.1099s and short period is 0.5495s. The response acceleration value of Case 3 with soil type C at seismic zone 2B ( Yangon )

97 is greater than 05 at initial period and short period (To, Ts )

In this case, the initial period is 0.1201s and short period is 0.6007s. When the study is soil type D and seismic zone 2B, the response acceleration difference between UBC – 97 and ASCE 7significant.

In this study, the initial period is 0.189s and short period is 0.9452s. The result of Case 5 show that when the soil profile become type E and2B, the peak response acceleration within initial and short period of UBC -97 is twice the response of ASCE 7-05.

In this case, the initial period is 0.0796s and short period is 0.398s. According to the table, in this study show that when the seismic zone becomes zone 4 (Mandalay), even in the soil type A, the peak response acceleration of ASCE 7-05 is twice in response than UBC – 97 within initial and short period.

Comparison of response spectrum for

UBC-97

ASCE-7-05

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In this case, the initial period is 0.1201s and short period is 0.6007s. When the study is soil type D and

zone 2B, the response acceleration difference 97 and ASCE 7-05 is more

In this study, the initial period is 0.189s and short period is 0.9452s. The result of Case 5 show that when the soil profile become type E and seismic zone 2B, the peak response acceleration within initial and

97 is twice the response of

In this case, the initial period is 0.0796s and short period is 0.398s. According to the table, in this study show that when the seismic zone becomes zone 4 (Mandalay), even in the soil type A, the peak response

05 is twice in response than 97 within initial and short period.

Page 5: Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05

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In this result, the initial period is 0.0796s and short period is 0.398s. The result of this table show that the peak acceleration response within initial and short period for ASCE 7-05 is approximately double than UBC -97 at soil type B and seismic zone 4.

In this result, the initial period is 0.1035s and short period is 0.5174s. This study result shows that the peak response acceleration within initial and short period is approximately the same as the result of case 7. For ASCE 7-05 the peak acceleration remains the same as Case 7 when UBC – 97 response is decreased.

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is 0.0796s and short period is 0.398s. The result of this table show that the peak acceleration response within initial and short

05 is approximately double than 97 at soil type B and seismic zone 4.

he initial period is 0.1035s and short period is 0.5174s. This study result shows that the peak response acceleration within initial and short period is approximately the same as the result of case

05 the peak acceleration remains the 97 response is

In this result, the initial period is 0.1194s and short period is 0.597. According to the table, when the soil become softer as soil type D, the peak response within initial and short period is not ASCE 7- 05 and UBC -97 at the same seismic zone 4

According to the calculation, in Case 10 the initial period is 0.2123s and the short period is 1.0614 that is greater than 1s. This condition is occurred because the soil type is E and even the seismic zone is at the most severe region. Here, for ASCE 7higher from the start and then decrease at the initial period and later the response increase again at short period that is greater than 1 s. The peacceleration of ASCE 7-05 is greater than UBC and their response acceleration spectrum

To accentuate the comparison of ASCE 7UBC -97, calculating the periods of a regular residential of 12 story building with soil type D at both seismic zone 2B ( Yangon ) and zone 4 ( Mandalay ).The comparison of period and it’s response acceleration and response acceleration spectrum are described as under.

International Journal of Trend in Scientific Research and Development (IJTSRD) ISSN: 2456-6470

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this result, the initial period is 0.1194s and short period is 0.597. According to the table, when the soil become softer as soil type D, the peak response within

too much differ for both 97 at the same seismic zone 4.

According to the calculation, in Case 10 the initial period is 0.2123s and the short period is 1.0614 that is greater than 1s. This condition is occurred because the oil type is E and even the seismic zone is at the most

severe region. Here, for ASCE 7- 05, the response is higher from the start and then decrease at the initial period and later the response increase again at short period that is greater than 1 s. The peak response

05 is greater than UBC – 97 and their response acceleration spectrum.

To accentuate the comparison of ASCE 7-05 and calculating the periods of a regular

residential of 12 story building with soil type D at oth seismic zone 2B ( Yangon ) and zone 4 (

Mandalay ).The comparison of period and it’s response acceleration and response acceleration spectrum are described as under.

Page 6: Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05

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Comparison structural periods between 3 and 12

Within initial and short periods, for both 3 story an 12 story, the peak response acceleration of UBChigher than ASCE 7-05. Comparison structuralfor soil type D

Comparison time period

between 3 and 12 story

building

Time period

3 story building @

Yangon region with 𝑆

12 story building @

Yangon region with 𝑆

Comparison time period between 3 and 12 story building

Time period

3 story building @ Mandalay region with 𝑆

12 storey building @ Mandalay region with 𝑆

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Comparison structural periods between 3 and 12 story building @ Yangon Region for soil type D

Within initial and short periods, for both 3 story an 12 story, the peak response acceleration of UBCComparison structural periods between 3 and 12 story building @ Mandalay Region

ASCE 7-05 UBC -97

T 𝑇 𝑇 T 𝑇

0.294

0.1201

0.6007

0.441

0.1143

0.8314

0.1201

0.6007

1.2471

0.1143

Comparison time period between ASCE 7-05 UBC

T 𝑇 𝑇 T 𝑇

0.294 0.1194 0.5970 0.441 0.1164

12 storey building @ Mandalay 0.8314 0.1194 0.5970 1.2471 0.1164

International Journal of Trend in Scientific Research and Development (IJTSRD) ISSN: 2456-6470

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soil type D

Within initial and short periods, for both 3 story an 12 story, the peak response acceleration of UBC-97 is periods between 3 and 12 story building @ Mandalay Region

97

𝑇

0.5714

0.5714

UBC -97

𝑇 𝑇

0.1164 0.5818

0.1164 0.5818

Page 7: Study on Comparison of Structural Fundamental Period within UBC -97 and ASCE 7-05

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When the seismic zone is 4 (Mandalay region), the peak response acceleration of UBC and 12 story is the same. Therefore, the effect of story height is not too much influence upon the response acceleration of UBC – 97 when they haveresponse acceleration of the structure can vary according to their heights.

VI. DISCUSSION AND CONCLUSIONA comparison of ASCE 7-05 with UBC presented in this study on the specific provision of the two codes for structural fundamental period and it’s response acceleration of residential building in the standard occupancy category. The rules are needed by structural engineers and code development authorities in developing country like Myanmar that have a large number of existing buildings designed according to the UBC -97 and need to evaluate their seismic safety. To make valid comparisons in periods, five soil profile in two seismic activity region Yangon and Mandalay have been arbitrarily selected. The design response spectra for all five site classes at two seismic regions were generated with both ASCE 7UBC – 97 . Here all calculation are hand calculation and the results show that UBC- 97 is suitable for lowrise building with different soil types and seismic region but it is a little conservative than ASCE Thereof, ASCE 7-05 has the different response spectra according to their in variable soil class and seismic region. So, ASCE -7- 05 has greater results for high- rise buildings. In ASCE 7, it has been

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When the seismic zone is 4 (Mandalay region), the peak response acceleration of UBC and 12 story is the same. Therefore, the effect of story height is not too much influence upon the response

97 when they have same soil type and seismic zone. But for ASCE 7response acceleration of the structure can vary according to their heights.

CONCLUSION 05 with UBC – 97 has been

presented in this study on the specific provision of the two codes for structural fundamental period and it’s response acceleration of residential building in the

e rules are needed by structural engineers and code development authorities in developing country like Myanmar that have a large number of existing buildings designed according to

97 and need to evaluate their seismic safety. sons in periods, five soil

profile in two seismic activity region Yangon and Mandalay have been arbitrarily selected. The design response spectra for all five site classes at two seismic regions were generated with both ASCE 7- 05 and

alculation are hand calculation 97 is suitable for low-

rise building with different soil types and seismic region but it is a little conservative than ASCE -7-05.

05 has the different response g to their in variable soil class and

05 has greater results rise buildings. In ASCE 7, it has been

emphasized that ASCE is more preferable for building greater than 65 ft. So the designer can use ASCE 7 for both low-rise and high-rise buildings but the section properties will be much larger and will not economic for using in low-rise buildings with ASCE 7. Therefore, this study present the outstanding of an important earthquake engineering research issue concerning ASCE and the UBC. The results presented herein will help structural designers as well as the development of Myanmar National Building Code (MNBC).

REFERENCE

[1] ASCE/SEI 7-05, Minimum Design Loads for Buildings and other Structures Applications to Earthquake Engineering, Prentice Hall, New Jersey,2007.

[2] Myanmar National Building Code 2016. (MNBC).

[3] Uniform Building Code (UBCU.S.A: “Structural Engineering Design Provision” International Conference of Building

International Journal of Trend in Scientific Research and Development (IJTSRD) ISSN: 2456-6470

Jun 2018 Page: 1204

When the seismic zone is 4 (Mandalay region), the peak response acceleration of UBC – 97 for both 3 story and 12 story is the same. Therefore, the effect of story height is not too much influence upon the response

same soil type and seismic zone. But for ASCE 7- 05, the peak

emphasized that ASCE is more preferable for building greater than 65 ft. So the designer can use ASCE 7 for

rise buildings but the section properties will be much larger and will not economic

rise buildings with ASCE 7. Therefore, this study present the outstanding of an important earthquake engineering research issue

CE and the UBC. The results presented herein will help structural designers as well as the development of Myanmar National Building Code

05, Minimum Design Loads for Buildings and other Structures – Theory and

cations to Earthquake Engineering, 3rd ed., Pear New Jersey,2007.

Myanmar National Building Code 2016. (MNBC).

Uniform Building Code (UBC-97). Volume 2. U.S.A: “Structural Engineering Design Provision”

Building Officials. 1997.