# Engr 327 reinforced concrete design i dr solomon

• 57
• 67% (3) 2 out of 3 people found this document helpful

This preview shows page 13 - 20 out of 57 pages.

ENGR 327 Reinforced Concrete Design IDr. Solomon Tesfamariam4-13Example 2: Find Mrusing first principles.GivenÆµ= 30 MPafy= 400 MPaConcrete cover = 40 mmd = 600 – 40 – 11.3 – 25.2/2As = 4 - 25M600 mm500 mm40 mm10M Stirrup
ENGR 327 Reinforced Concrete Design IDr. Solomon Tesfamariam4-144.5ANALYSIS FOROVER-REINFORCEDFAILURE°For over-reinforced conditions:εc=εcuεs<εyFrom strain compatibility:´»´µ¶¸¼ ¾ ¹¹Thus,´»¸ ½¼ ¾ ¹¹¿ ´µ¶´»¸ ½¼ ¾ ¹¹¿ ´µ¶Æ»¸ D»½ÇÅ¼0¾ 1¿ ´µ¶Compression:1²¸ ÄÅ·µÆµ203Tension:4²¸ ·»È»Æ»¸ ·»È»D»F@=!?¾ 1G ´µ¶
ENGR 327 Reinforced Concrete Design IDr. Solomon Tesfamariam4-15Equilibrium:1²¸ 4²ÄÅ·µÆµ203 ¸ ·»È»D»F@=!?¾ 1G ´µ¶Rearranging:ÄÅ·µÆµ203 ¸·»È»D»´µ¶ÇÅ¼0¾ ·»È»D»´µ¶ÀÄÅ·µÆµ23Â0Hº À·»È»D»´µ¶Â0 ¾ À·»È»D»´µ¶ÇÅ¼Â ¸ 0Solve quadratic for “a”¹ ¸?@=to check forεs<εyCheck:µ!:/’’/’’%³&Lever arm:z = d - a/2MomentResistance:Mr =4²AMr =·»È»Æ»À¼ ¾ 0/2ÂorMr =1²AMr =ÄÅ·µÆµ203À¼ ¾ 0/2Â
ENGR 327 Reinforced Concrete Design IDr. Solomon Tesfamariam4-16Example 3: Find Mrusing first principles.GivenÆµ= 30 MPafy= 400 MPaConcrete cover = 40 mmd = 600 – 40 – 11.3 – 35.7 – 50/2As = 12 - 35M600 mm500 mm40 mm10M Stirrup50 mm
ENGR 327 Reinforced Concrete Design IDr. Solomon Tesfamariam4-174.5CRACKINGMOMENT&MINIMUMREINFORCEMENT±µ²¸Æ²IJÃK¸ Æ²LL ¸ Section modulus ¸3YH6Æ²¸ 0.6·µ[\Æµ°Independent of the steel reinforcement areaÈ]^_‘= minimum amount of steel to avoid sudden failure when concrete cracksTo avoid brittle failure at first cracking:±²: 1.2±µ²Clause 10.5.1.1Ê^_‘¸’.Ha³#>³&Clause 10.5.1.2orÈ]^_‘¸’.Ha³#>³&3Khwhere,3K= width of tension zone of the section
ENGR 327 Reinforced Concrete Design IDr. Solomon Tesfamariam4-184.6HANDBOOKANALYSIS/DESIGNTABLES1 ¸ ÄÅ·µÆµ2034 ¸ ·»ÆÁÊ3¼0 ¸·»ÆÁÊÄÅ·µÆµ2¼Mr=4À¼ ¾ 0/2Â¸ ·»ÆÁÊ3¼ 5¼ ¾·»ÆÁÊ3Å·µÆµ2¼8¸ Ê·»ÆÁ51 ¾·»ÆÁÊÅ·µÆµ28 3¼HLet,b²¸ Ê·»ÆÁ51 ¾·»ÆÁÊÅ·µÆµ28±²¸ b²HValues of Krare tabulated in Table 2.1 of the CAC HandbookFunction offy,Æµ,ÊÊ ¸È»
ENGR 327 Reinforced Concrete Design IDr. Solomon Tesfamariam4-19

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 57 pages?

Course Hero member to access this document

Term
Fall
Professor
NoProfessor
Tags
It, Dr Solomon Tesfamariam