Time Dependent Material (Creep/Shrinkage)


ÄÜÅ©¸®Æ®ÀÇ ½Ã°£¿¡ µû¸¥ °ÇÁ¶¼öÃà°ú Å©¸®ÇÁ¸¦ °í·ÁÇϱâ À§ÇÑ ÀçÁú µ¥ÀÌÅ͸¦ Á¤ÀÇÇÕ´Ï´Ù. ÄÜÅ©¸®Æ®ÀÇ °ÇÁ¶¼öÃà°ú Å©¸®ÇÁ¸¦ °í·ÁÇÑ ±³·®ÀÇ ½Ã°ø´Ü°èº° Çؼ® ¹× ¼öÈ­¿­ Çؼ®¿¡ Àû¿ëµË´Ï´Ù.


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Time Dependent Material(Creep, Shrinkage) ´ëÈ­»óÀÚ

 

Name : ÀçÁúÀÇ À̸§À» ÀÔ·ÂÇϸç, "Time Dependent Material Link"¿¡¼­ ÂüÁ¶µË´Ï´Ù.

Code : Sreep / Shringkage¿¡ ´ëÇÑ ÀçÁúÀÇ Æ¯¼ºÀ» Á¤ÀÇÇϱâ À§ÇÑ Code¸¦ ¼±ÅÃÇÕ´Ï´Ù.

: ÀçÁúµ¥ÀÌÅ͸¦ ½Å±Ô·Î Á¤ÀÇÇÕ´Ï´Ù.

: ÀÔ·ÂÇÑ ³»¿ëÀ» È®ÀÎÇϰųª ¼öÁ¤ÇÕ´Ï´Ù.

: ÀÔ·ÂÇÑ ÀçÁúµ¥ÀÌÅ͸¦ »èÁ¦ÇÕ´Ï´Ù.

 

Korean Standard(µµ·Î±³ ¼³°è±âÁØ / ÄÜÅ©¸®Æ® ¼³°è±âÁØ)

 

 

Compressive strength of concrete at the age of 28 days : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40-99) : ¿Ü±â ½Àµµ

Notational size of member : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Note
1. ´Ü¸éº¯È­·Î ÀÎÇØ ¿ä¼Òº°·Î "h" °ªÀÌ ´Ù¸¥ °æ¿ì¿¡´Â Change Element Dependent Material Property ¿¡¼­ ¿ä¼Òº° "h"¸¦ ÀÔ·ÂÇÑ´Ù.
2. ½Ã°ø´Ü°è ÇÕ¼º´Ü¸éÀ» »ç¿ëÇÑ °æ¿ì¿¡´Â Composite Section for Construction Stage ¿¡¼­ ÆÄÆ®º° "h" °ªÀ» Á÷Á¢ ÀÔ·ÂÇØ¾ß ÇÑ´Ù.

Type of cement : ½Ã¸àÆ® Á¾·ù

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

: ÀÚµ¿°è»êµÈ ½Ã°£ÀÇÁ¸Àû Àç·áƯ¼ºÀ» ±×·¡ÇÁ Çü½ÄÀ¸·Î Ãâ·ÂÇÕ´Ï´Ù.

 

 

CEB-FIP (1990)

 

 

 

Compressive strength of concrete at the age of 28 days : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40-99) : ¿Ü±â ½Àµµ

Notational size of member : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Note
1. ´Ü¸éº¯È­·Î ÀÎÇØ ¿ä¼Òº°·Î "h" °ªÀÌ ´Ù¸¥ °æ¿ì¿¡´Â Change Element Dependent Material Property ¿¡¼­ ¿ä¼Òº° "h"¸¦ ÀÔ·ÂÇÑ´Ù.

2. ½Ã°ø´Ü°è ÇÕ¼º´Ü¸éÀ» »ç¿ëÇÑ °æ¿ì¿¡´Â Composite Section for Construction Stage ¿¡¼­ ÆÄÆ®º° "h" °ªÀ» Á÷Á¢ ÀÔ·ÂÇØ¾ß ÇÑ´Ù.

Type of cement : ½Ã¸àÆ® Á¾·ù

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

 

CEB-FIP (1978)

 

 

 

Compressive strength of concrete at the age of 28 days : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40, 50, 70, 100) : ¿Ü±â ½Àµµ

Notational size of member : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Note
1. ´Ü¸éº¯È­·Î ÀÎÇØ ¿ä¼Òº°·Î "h" °ªÀÌ ´Ù¸¥ °æ¿ì¿¡´Â Change Element Dependent Material Property ¿¡¼­ ¿ä¼Òº° "h"¸¦ ÀÔ·ÂÇÑ´Ù.

2. ½Ã°ø´Ü°è ÇÕ¼º´Ü¸éÀ» »ç¿ëÇÑ °æ¿ì¿¡´Â Composite Section for Construction Stage ¿¡¼­ ÆÄÆ®º° "h" °ªÀ» Á÷Á¢ ÀÔ·ÂÇØ¾ß ÇÑ´Ù.

Type of cement : ½Ã¸àÆ® Á¾·ù

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

 

ACI

 

 

 

Compressive strength of concrete at the age of 28 days : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40-99) : ¿Ü±â ½Àµµ

Volume-surface ratio : üÀû-Ç¥¸éÀû ºñ

Age of concrete at the beginning of shrinkage : °ÇÁ¶¼öÃàÀÌ ½ÃÀ۵Ǵ ½Ã±âÀÇ ÄÜÅ©¸®Æ® Àç·É

Init. Curing method : Ãʱ⠾ç»ý ¹æ¹ý

moist cure : ½ÀÀ±¾ç»ý

steam cure : Áõ±â¾ç»ý

Material factored ultimate value : ÄÜÅ©¸®Æ®ÀÇ Æ¯¼ºÀ» ¹Ý¿µÇÑ ±ØÇÑ »ó¼ö¸¦, ACI Code¿¡ µû¶ó °è»êÇϵµ·Ï Çϰųª »ç¿ëÀÚ°¡ Á÷Á¢ Á¤ÀÇÇÕ´Ï´Ù.

Type

ACI Code¸¦ ¼±ÅÃÇÑ °æ¿ì

Slump : ÄÜÅ©¸®Æ® ½½·³ÇÁ °ª

Fine aggregate percentage : ÀÜ°ñÀçÀ²

Air content : °ø±â·®

Cement content : ½Ã¸àÆ®·®

User¸¦ ¼±ÅÃÇÑ °æ¿ì

Material factored ultimate creep coefficient (1.3 ~ 4.15) : ÄÜÅ©¸®Æ®ÀÇ Æ¯¼ºÀÌ ¹Ý¿µµÈ ±ØÇÑ Å©¸®ÇÁ °è¼ö

Material factored ultimate shrinkage strain : ÄÜÅ©¸®Æ®ÀÇ Æ¯¼ºÀÌ ¹Ý¿µµÈ ±ØÇÑ °ÇÁ¶¼öÃà º¯Çüµµ

 

PCA

 

 

 

Compressive strength of concrete at the age of 28 days(fc) : 28ÀÏ ¾ÐÃà°­µµ

Ultimate shrinkage strain : ±ØÇÑ °ÇÁ¶¼öÃà º¯Çüµµ

Ultimate creep strain : ±ØÇÑ Å©¸®ÇÁ º¯Çüµµ

Relative Humidity of ambient environment : ¿Ü±â »ó´ë½Àµµ

Volumn-surface Ratio(v/s) : üÀû-Ç¥¸éÀûºñ

Reinforcement ratio of cross section of column segment : ±âµÕÀÇ Ã¶±Ùºñ

Modulus of elasticity of Steel : ö±ÙÀÇ Åº¼º°è¼ö

 

Combined (ACI & PCA)

 

 

 

Compressive strength of concrete at the age of 28 days(fc) : 28ÀÏ ¾ÐÃà°­µµ

Ultimate shrinkage strain : ±ØÇÑ °ÇÁ¶¼öÃà º¯Çüµµ

Ultimate creep strain : ±ØÇÑ Å©¸®ÇÁ º¯Çüµµ

Relative Humidity of ambient environment : ¿Ü±â »ó´ë½Àµµ

Volumn-surface Ratio(v/s) : üÀû-Ç¥¸éÀûºñ

Reinforcement ratio of cross section of column segment : ±âµÕÀÇ Ã¶±Ùºñ

Modulus of elasticity of Steel : ö±ÙÀÇ Åº¼º°è¼ö

 

Combined (ACI & PCA)

 

 

 

Compressive strength of concrete at the age of 28 days(fc) : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment : ¿Ü±â »ó´ë½Àµµ

Volumn-surface Ratio(v/s) : üÀû-Ç¥¸éÀûºñ

Creep

Material factored ultimate creep strain : ÄÜÅ©¸®Æ®ÀÇ Æ¯¼ºÀÌ ¹Ý¿µµÈ ±ØÇÑ Å©¸®ÇÁ º¯Çüµµ

Volumn-surface Ratio : üÀû-Ç¥¸éÀûºñÀÇ °è»ê¹æ¹ý

Loading aged factored (t : loading age) : Àç·É°è¼öÀÇ °è»ê¹æ¹ý

Shrinkage

Material factored ultimate creep strain : ÄÜÅ©¸®Æ®ÀÇ Æ¯¼ºÀÌ ¹Ý¿µµÈ ±ØÇÑ Å©¸®ÇÁ º¯Çüµµ

Volumn-surface Ratio : üÀû-Ç¥¸éÀûºñÀÇ °è»ê¹æ¹ý

Progress of shrinkage with Time : ½Ã°£ÀÇ °æ°ú¿¡ µû¸¥ °ÇÁ¶¼öÃàÀÇ ÁøÇà

Reinforced concrete effect by PCA

Reinforcement ratio of cross section of column segment : ±âµÕÀÇ Ã¶±Ùºñ

Modulus of elasticity of Steel : ö±ÙÀÇ Åº¼º°è¼ö

 

Japanese Standard

 

 

 

Compressive strength of concrete at the age of 28 days : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40-99) : ¿Ü±â ½Àµµ

Curving Underwater : ¼öÁß¾ç»ý

Relative Humidity(40~90) : »ó´ë½Àµµ

Notational size of member : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Note
1. ´Ü¸éº¯È­·Î ÀÎÇØ ¿ä¼Òº°·Î "h" °ªÀÌ ´Ù¸¥ °æ¿ì¿¡´Â Change Element Dependent Material Property ¿¡¼­ ¿ä¼Òº° "h"¸¦ ÀÔ·ÂÇÑ´Ù.

2. ½Ã°ø´Ü°è ÇÕ¼º´Ü¸éÀ» »ç¿ëÇÑ °æ¿ì¿¡´Â Composite Section for Construction Stage ¿¡¼­ ÆÄÆ®º° "h" °ªÀ» Á÷Á¢ ÀÔ·ÂÇØ¾ß ÇÑ´Ù.

Type of cement : ½Ã¸àÆ® Á¾·ù

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

: ÀÚµ¿°è»êµÈ ½Ã°£ÀÇÁ¸Àû Àç·áƯ¼ºÀ» ±×·¡ÇÁ Çü½ÄÀ¸·Î Ãâ·ÂÇÕ´Ï´Ù.

 

JAPAN(JSCE)

 

 

 

Elastic modulus of concrete at the age of 28 days : 28ÀÏ Åº¼º°è¼ö

Relative Humidity of ambient environment(40-80) : ¿Ü±â ½Àµµ

Volume-surface Ratio(v/s) : üÀû-Ç¥¸éÀûºñ

Cement content (260 kg/m^3 ~ 500 kg/m^3) : ´ÜÀ§Ã¼Àû´ç »ç¿ëÇÑ ½Ã¸àÆ® ·®

Water content (130 kg/m^3 ~ 230 kg/m^3) : ´ÜÀ§Ã¼Àû´ç »ç¿ëÇÑ ¹° ·®

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

 

CHINA

 

 

 

Compressive strength of concrete at the age of 28 days : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40-99) : ¿Ü±â ½Àµµ

Curving Underwater : ¼öÁß¾ç»ý

Relative Humidity(40~90) : »ó´ë½Àµµ

Notational size of member : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Note
1. ´Ü¸éº¯È­·Î ÀÎÇØ ¿ä¼Òº°·Î "h" °ªÀÌ ´Ù¸¥ °æ¿ì¿¡´Â Change Element Dependent Material Property ¿¡¼­ ¿ä¼Òº° "h"¸¦ ÀÔ·ÂÇÑ´Ù.

2. ½Ã°ø´Ü°è ÇÕ¼º´Ü¸éÀ» »ç¿ëÇÑ °æ¿ì¿¡´Â Composite Section for Construction Stage ¿¡¼­ ÆÄÆ®º° "h" °ªÀ» Á÷Á¢ ÀÔ·ÂÇØ¾ß ÇÑ´Ù.

Type of cement : ½Ã¸àÆ® Á¾·ù

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

: ÀÚµ¿°è»êµÈ ½Ã°£ÀÇÁ¸Àû Àç·áƯ¼ºÀ» ±×·¡ÇÁ Çü½ÄÀ¸·Î Ãâ·ÂÇÕ´Ï´Ù.

 

China (JTG D62-2004)

 

 

 

Compressive strength of concrete at the age of 28 days(fcu,k) : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40-99) : ¿Ü±â ½Àµµ

Notational size of member : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Note
1. ´Ü¸éº¯È­·Î ÀÎÇØ ¿ä¼Òº°·Î "h" °ªÀÌ ´Ù¸¥ °æ¿ì¿¡´Â Change Element Dependent Material Property ¿¡¼­ ¿ä¼Òº° "h"¸¦ ÀÔ·ÂÇÑ´Ù.

2. ½Ã°ø´Ü°è ÇÕ¼º´Ü¸éÀ» »ç¿ëÇÑ °æ¿ì¿¡´Â Composite Section for Construction Stage ¿¡¼­ ÆÄÆ®º° "h" °ªÀ» Á÷Á¢ ÀÔ·ÂÇØ¾ß ÇÑ´Ù.

Cement Type Coefficient (Bsc) : ½Ã¸àÆ® Á¾·ù¿¡ µû¸¥ °è¼ö

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

: ÀÚµ¿°è»êµÈ ½Ã°£ÀÇÁ¸Àû Àç·áƯ¼ºÀ» ±×·¡ÇÁ Çü½ÄÀ¸·Î Ãâ·ÂÇÕ´Ï´Ù.

 

AASHTO

 

 

 

Compressive strength of concrete at the age of 28 days : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40-99) : ¿Ü±â ½Àµµ

Volume-surface ratio : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

Expose to drying before 5 Days of curing :  AASHTO Shrinkage and Creep 5.4.2.3 ¿¡ µû¶ó Creep&ShrinkageÀÇ ¿µÇâÀ» 20% Áõ°¡½Ãŵ´Ï´Ù.

 

INDIA (IRC:18-2000)

 

 

 

Compressive strength of concrete at the age of 28 days : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment(40-99) : ¿Ü±â ½Àµµ

Notational size of member : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Note
1. ´Ü¸éº¯È­·Î ÀÎÇØ ¿ä¼Òº°·Î "h" °ªÀÌ ´Ù¸¥ °æ¿ì¿¡´Â Change Element Dependent Material Property ¿¡¼­ ¿ä¼Òº° "h"¸¦ ÀÔ·ÂÇÑ´Ù.

2. ½Ã°ø´Ü°è ÇÕ¼º´Ü¸éÀ» »ç¿ëÇÑ °æ¿ì¿¡´Â Composite Section for Construction Stage ¿¡¼­ ÆÄÆ®º° "h" °ªÀ» Á÷Á¢ ÀÔ·ÂÇØ¾ß ÇÑ´Ù.

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

 

European

 

 

 

Characteristic compressive cylinder strength of concrete at the age of 28 days (fck) : 28ÀÏ ¾ÐÃà°­µµ

Relative Humidity of ambient environment (40-99) : ¿Ü±â ½Àµµ

Notational size of member : ±¸Á¶¹°ÀÇ ±âÇÏÇü»ó Ä¡¼ö

Note
1. ´Ü¸éº¯È­·Î ÀÎÇØ ¿ä¼Òº°·Î "h" °ªÀÌ ´Ù¸¥ °æ¿ì¿¡´Â Change Element Dependent Material Property ¿¡¼­ ¿ä¼Òº° "h"¸¦ ÀÔ·ÂÇÑ´Ù.

2. ½Ã°ø´Ü°è ÇÕ¼º´Ü¸éÀ» »ç¿ëÇÑ °æ¿ì¿¡´Â Composite Section for Construction Stage ¿¡¼­ ÆÄÆ®º° "h" °ªÀ» Á÷Á¢ ÀÔ·ÂÇØ¾ß ÇÑ´Ù.

Type of Cement : ½Ã¸àÆ® Á¾·ù

Type of Code : ±¸Á¶¹° Á¾·ù (ºôµùÀ» Æ÷ÇÔÇÑ ÀÏ¹Ý ÄÜÅ©¸®Æ® ±¸Á¶¹° / ÄÜÅ©¸®Æ® ±³·®)

Age of concrete at the beginning of shrinkage : Ÿ¼³ÈÄ °ÇÁ¶¼öÃà ½ÃÀÛ ½Ã°£

 

User Defined

½Ã°£ÀÇ È帧¿¡ µû¸¥ Àç·áÀÇ Æ¯¼ºÀ» Time Dependent Material(Creep/Shrinkage) Function¿¡¼­ ÇÔ¼ö¸¦ »ç¿ëÀÚ°¡ Á÷Á¢ Á¤ÀÇÇÏ¿© Àû¿ëÇÏ´Â ¹æ¹ýÀÔ´Ï´Ù.

Creep Function
Àû¿ëÇÒ Å©¸®ÇÁ ÇÔ¼ö¸¦ ¼±ÅÃÇÕ´Ï´Ù. Á¤ÀÇµÈ Å©¸®ÇÁ ÇÔ¼ö°¡ ¾ø´Â °æ¿ì³ª ¹Ì¸® Á¤ÀÇµÈ ÇÔ¼ö¸¦ ¼öÁ¤ÇÏ´Â °æ¿ì´Â ¸¦ Ŭ¸¯ÇÏ¿© "Time Dependent Material(Creep/Shrinkage) Function" ´ëÈ­»óÀÚ¸¦ È£ÃâÇÕ´Ï´Ù.

Loading Age : ÇØ´çÀç·áÀÇ ºÎÀç¿¡ ÇÏÁßÀÌ ÀçÇϵDZ⠽ÃÀÛÇÒ ¶§ ºÎÀçÀÇ Àç·É

: Á¤ÀÇÇÑ Å©¸®ÇÁ ÇÔ¼ö¿¡ Loading Age¸¦ Àû¿ëÇÏ¿© ¸ñ·Ï¿¡ µî·ÏÇÕ´Ï´Ù.

: µî·ÏµÈ Å©¸®ÇÁ ÇÔ¼ö¿¡ Àû¿ëµÉ Loading Age¸¦ ¼öÁ¤ÇÕ´Ï´Ù.

: µî·ÏµÈ Å©¸®ÇÁ ÇÔ¼ö°ú Loading Age¸¦ »èÁ¦ÇÕ´Ï´Ù.

Shrinkage Strain Function
Àû¿ëÇÒ °ÇÁ¶¼öÃà ÇÔ¼ö¸¦ ¼±ÅÃÇÕ´Ï´Ù. Á¤ÀÇµÈ °ÇÁ¶¼öÃà ÇÔ¼ö°¡ ¾ø´Â °æ¿ì³ª ¹Ì¸® Á¤ÀÇµÈ ÇÔ¼ö¸¦ ¼öÁ¤ÇÏ´Â °æ¿ì´Â  ¸¦ Ŭ¸¯ÇÏ¿© ¸¦ Ŭ¸¯ÇÏ¿© "Time Dependent Material(Creep/Shrinkage) Function" ´ëÈ­»óÀÚ¸¦ È£ÃâÇÕ´Ï´Ù.